The Cranking Nilsson model is applied to calculate the single-particle energy eigenvalues and eigenfunctions of nuclei in a strongly deformed potential. Accordingly, The L. D. Energy, the Strutinsky inertia, the L. D....The Cranking Nilsson model is applied to calculate the single-particle energy eigenvalues and eigenfunctions of nuclei in a strongly deformed potential. Accordingly, The L. D. Energy, the Strutinsky inertia, the L. D. inertia, the volume conservation factor , the smoothed energy, the BCS energy, the G-value and the electric quadrupole moment of the five uranium isotopes: 230U, 232U, 234U, 236U and 238U are calculated as functions of the deformation parameter. Furthermore, the single-particle Schrodinger fluid is applied to calculate the rigid-body model, the cranking-model and the equilibrium-model moments of inertia of the five uranium isotopes. Moreover, the collective model is applied to calculate the rotational energies of these isotopes. The best potential and deformation parameters are also given.展开更多
The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt met...The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt method of nonlinear least-squares routines,we determine the expansion coefficients by fitting the proposed dynamical moment of inertia with its recent experimental data of the SD nuclei in the A=190 mass region.The comparison between our theoretical and available experimental data for the dynamic moment of inertia and spin shows good agreements. Also,we have calculated the static moment of inertia at three alternative values of spin.The value of spin at which the two moments of inertia are nearly equals is to be regarded as a bandhead spin of the corresponding band.These studies are carried out for eighteen bands of odd-A nuclei of the superdeformed region 190,namely ~(189)Hg(b1),~(191)Hg(b1,b2, b3,b4),~(193)Hg(b2,b3,b5),~(195)Hg(b1,b2,b3,b4),~(193)Tl(b1,b2,b3,b5),~(189)Tl(b1),and~(197)Bi(b1).We also notice the occurrence of identical SD bands with near identical transition energies among the considered SD bands.展开更多
The microscopic mechanism of nine experimentally observed bands in ^178W is investigated using the particle-number conserving method of the cranked shell model with monopole and quadrupole paring interactions. The exp...The microscopic mechanism of nine experimentally observed bands in ^178W is investigated using the particle-number conserving method of the cranked shell model with monopole and quadrupole paring interactions. The experimental results, including the moments of inertia and angular momentum alignments of nine bands in ^178W, are reproduced well by the particle-number conserving calculations, in which no free parameter is involved. Calculations demonstrate that occurrence of sharp backbending comes mainly from the contribution of high-j intruder orbitals vi13/2 or πh11/2 and their interference effect with orbitals near the Fermi surface. Theω variation of the occupation probability of each cranked orbital and the contribution to moment of inertia from each cranked orbital are analyzed.展开更多
152^Dy is the first observed superdeformed nucleus, whose band structure reflects the typical distribution of high j low Ω orbitals of superdeformed nuclei in A-150 mass region. The particle-number conserving treatme...152^Dy is the first observed superdeformed nucleus, whose band structure reflects the typical distribution of high j low Ω orbitals of superdeformed nuclei in A-150 mass region. The particle-number conserving treatment of the cranked shell model with monopole and quadrupole paring interactions is adopted to investigate the observed six superdeformed bands in 152^Dy. The π[523]7/2 orbital is emphasized for the first time to interpret the microscopic structure of band 2 and 3 of 152^Dy. A new comprehension is proposed on the basis of ever existing experimental and theoretical results, and the reliability is illustrated by several superdeformed bands of neighboring nuclei.展开更多
The experimental large fluctuation in odd-even differences in moments ofinertia of deformed actinide nuclei is investigated using the particle-number conserving (PNC)method for treating the cranked shell model with mo...The experimental large fluctuation in odd-even differences in moments ofinertia of deformed actinide nuclei is investigated using the particle-number conserving (PNC)method for treating the cranked shell model with monopole and quadrupole pairing interactions. PNCcalculations show that the large odd-even difference in moments of inertia mainly comes from theinterference contributions j(μv) from particles in high j intruder orbitals μ and v quite near theFermi surface, which have no counterpart in the BCS formalism. The effective monopole andquadrupole pairing interaction strengths are determined to fit the experimental odd-even differencesin binding energies and bandhead moments of inertia. The experimental results for the variation ofmoments of inertia with rotational frequency ω are reproduced well by the PNC calculation. Thenearly identical experimental moments of inertia between ~(236)U(gsb) and ~(238)U(gsb) at lowfrequencies hω ≤ 0.20 MeV are also reproduced quite well.展开更多
The single-particle Schrödinger fluid model is designed mainly to calculate the moments of inertia of the axially symmetric deformed nuclei by assuming that each nucleon in the nucleus is moving in a single-parti...The single-particle Schrödinger fluid model is designed mainly to calculate the moments of inertia of the axially symmetric deformed nuclei by assuming that each nucleon in the nucleus is moving in a single-particle potential which is deformed with time t, through its parametric dependence on a classical shape variable α(t). Also, the Nilsson model is designed for the calculations of the single-particle energy levels, the magnetic dipole moments, and the electric quadrupole moments of axially symmetric deformed nuclei by assuming that all the nucleons are moving in the field of an anisotropic oscillator potential. On the other hand, the nuclear superfluidity model is designed for the calculations of the nuclear moments of inertia and the electric quadrupole moments of deformed nuclei which have no axes of symmetry by assuming that the nucleons are moving in a quadruple deformed potential. Furthermore, the cranked Nilsson model is designed for the calculations of the total nuclear energy and the quadrupole moments of deformed nuclei which have no axes of symmetry by modifying the Nilsson potential to include second and fourth order oscillations. Accordingly, to investigate whether the six p-shell isotopes <sup>6</sup>Li, <sup>7</sup>Li, <sup>8</sup>Li, <sup>9</sup>Li, <sup>10</sup>Li, and <sup>11</sup>Li have axes of symmetry or not, we applied the four mentioned models to each nucleus by calculating their moments of inertia, their magnetic dipole moments, and their electric quadrupole moments by varying the deformation parameter β and the non-axiality parameter γ in wide ranges of values for this reason. Hence for the assumption that these isotopes are deformed and have axes of symmetry, we applied the single-particle Schrödinger fluid model and the Nilsson model. On the other hand, for the assumption that these isotopes are deformed and have no axes of symmetry, we applied the cranked Nilsson model and the nuclear super fluidity model. As a result of our calculations, we can conclude that the nucleus <sup>6</sup>Li may be assumed to be deformed and has an axis of symmetry.展开更多
Theπd_(5/2)rotational bands in odd-even nuclei^(117,119,121,123,125)Cs are systematically investigated using the cranked shell model(CSM)with the pairing correlations modeled with a particle number conserving(PNC)met...Theπd_(5/2)rotational bands in odd-even nuclei^(117,119,121,123,125)Cs are systematically investigated using the cranked shell model(CSM)with the pairing correlations modeled with a particle number conserving(PNC)method.In this PNC method,the particle number is conserved exactly while considering the blocking effects.The experimental observations of theπd_(5/2)bands with two upbendings for^(117,119)Cs and one backbending for^(125)Cs are reproduced very well by the PNC-CSM method.Furthermore,πd_(5/2)configuration bands with two upbendings for^(121)Cs and one backbending for^(123)Cs are predicted by the PNC-CSM calculations.The difference between the lighter^(117,119,121)Cs and heavier^(123,125)Cs isotopes is caused by the evolution of single-particle orbitals near the Fermi surface,and the high-j low-Ωorbitalπ[550]1=2 plays an important role.The proton shell gap of lighter isotopes is at Z=50,whereas it appears at Z=48 for heavier ones.For lighter isotopes^(117,119,121)Cs,the first upbending is primarily due to the off-diagonal contributions of protons jx(π5=2^(-)[532]π3=2^(-)[541])and jx(π1=2^(-)[550]π3=2^(-)[541]).The second upbending is mainly effected by the off-diagonal contributions of neutrons jx(π7=2^(-)[523]π5=2^(-)[532])and jx(ν3=2^(-)[541]ν5=2^(-)[532])for^(117,119)Cs and jx(ν1=2^(-)[541]ν5=2^(-)[532])for^(121)Cs,respectively.For heavier isotopes such as^(123,125)Cs,the backbending is attributed mainly to the diagonal parts of proton jx(π1=2^(-)[550])and neutronν7=2^(-)[523]orbital related terms of diagonal jx(ν7=2^(-)[523])and off-diagonal jx(ν7=2^(-)[523]ν5=2^(-)[532])contributions.展开更多
In this study,the evolution of nuclear shape and rotational behavior along the yrast line in even-even^(126-136)was systematically investigated using pairing self-consistent Woods-Saxon-Strutinsky calculations combine...In this study,the evolution of nuclear shape and rotational behavior along the yrast line in even-even^(126-136)was systematically investigated using pairing self-consistent Woods-Saxon-Strutinsky calculations combined with the total Routhian surface(TRS)method in the(β_(2),γ,β_(4))deformation space.Empirical laws were applied to evaluate nuclear ground-state properties,revealing a shape evolution from axially deformed to non-axial vibrational configuration in even-even isotopes.Particularly,an extremeγ-unstable shape was predicted in.The shape transition of the ground state in these nuclei was confirmed by the TRS calculations.In addition,the evolution of the nuclear shape in high spin states with varying rotational axes associated with rotation around the medium,long,and short axes was elucidated from the TRS calculations.This variation was further characterized by the alignment of theπ(h_(11/2))^(2)and v(h11/2)^(2)configurations,highlighting a preference for non-collective oblate/triaxial shapes withγ>0°and collective oblate/triaxial shapes withγ<0°,espectively.展开更多
The effects of the nuclear current in the antimagnetic rotation band of 105Cd have been investigated in a fully self-consistent and microscopic way by using the tilted axis cranking relativistic mean-field model.It wa...The effects of the nuclear current in the antimagnetic rotation band of 105Cd have been investigated in a fully self-consistent and microscopic way by using the tilted axis cranking relativistic mean-field model.It was found that the inclusion of nuclear current leads to a higher angular momentum and thus a larger kinetic moment of inertia at a given rotational frequency.As a consequence,the B(E2) values with current are always smaller than those without current.展开更多
Neutron-deficient Z ≈ N nuclei84,86Mo have been investigated using pairing-deformation self-consistent cranked shell modelcalculations up to spin I > 20 . Our calculations are in good agreement with the experiment...Neutron-deficient Z ≈ N nuclei84,86Mo have been investigated using pairing-deformation self-consistent cranked shell modelcalculations up to spin I > 20 . Our calculations are in good agreement with the experimental data, indicating γ-soft triaxial shapesat low rotational frequency and well-deformed triaxial-oblate shapes at high rotational frequency for both nuclei. The shape changeis due to the alignments of the g9/2protons and g9/2neutrons.展开更多
Phase transition in odd-N isotopes ^99,101,103 Pd are investigated via the E-GOS(E-Gamma Over Spin)curves, which strongly suggest a structure evolution from vibration to rotation along the yrast lines with increasin...Phase transition in odd-N isotopes ^99,101,103 Pd are investigated via the E-GOS(E-Gamma Over Spin)curves, which strongly suggest a structure evolution from vibration to rotation along the yrast lines with increasing spin. Theoretical calculations have been performed for the ground state bands of ^99,101,103 Pd in the framework of the cranked shell model(CSM) and the alignment properties observed experimentally are analyzed employing this model. The results show that the phase transition in the ground state bands of ^99,101,103 Pd can be interpreted as the valence nucleons start to occupy the g9/2 proton orbitals with increasing spin which would polarize the core to a small, but rigid quadrupole deformation.展开更多
The negative parity high spin states in 45Ti have been investigated with the interacting shell model including the full fp shell and the configuration dependent cranked Nilsson-Strutinsky approach. Generally, the shel...The negative parity high spin states in 45Ti have been investigated with the interacting shell model including the full fp shell and the configuration dependent cranked Nilsson-Strutinsky approach. Generally, the shell model has successfully reproduced the energy levels of negative parity bands, especially has a good description of the signature inversion at 17/2-. The reduced electric quadrupole transition probabilities of high spin states are calculated by the two models and compared with the experimental results. Reasonable agreement between theories and experiment are obtained, while the shell model can give more fine structures. The large differences of elctromagnetic moments between the shell model calculation and observation call for more elaborate effective interaction and more active shells.展开更多
Experimentally observed superdeformed(SD) rotational bands in36Ar and40Ar are studied by the cranked shell model(CSM) with the pairing correlations treated by a particle-number-conserving(PNC) method.This is the first...Experimentally observed superdeformed(SD) rotational bands in36Ar and40Ar are studied by the cranked shell model(CSM) with the pairing correlations treated by a particle-number-conserving(PNC) method.This is the first time that PNC-CSM calculations have been performed on the light nuclear mass region around A=40.The experimental kinematic moments of inertia J~((1))versus rotational frequency are reproduced well. The backbending of the SD band at frequency around ω =1.5 Me V in36Ar is attributed to the sharp rise of the simultaneous alignments of the neutron and proton 1 d5/2[202]5/2 pairs and 1 f7/2[321]3/2 pairs, which is a consequence of the band crossing between the 1 d5/2[202]5/2 and 1 f7/2[321]3/2 configuration states. The gentle upbending at low frequency of the SD band in40Ar is mainly affected by the alignments of the neutron 1 f7/2[321]3/2 pairs and proton 1 d5/2[202]5/2 pairs.The PNC-CSM calculations show that besides the diagonal parts, the off-diagonal parts of the alignments play an important role in the rotational behavior of the SD bands.展开更多
High-spin states in182Au have been produced and studied via the152Sm(35Cl,5nγ)182Au reaction. The level scheme consisting of the πh 9/2?νi 13/2 and πi 13/2?νi 13/2 bands has been established for the first time. T...High-spin states in182Au have been produced and studied via the152Sm(35Cl,5nγ)182Au reaction. The level scheme consisting of the πh 9/2?νi 13/2 and πi 13/2?νi 13/2 bands has been established for the first time. The low spin signature inversion in both bands has been found. The observed signature inversion phenomena can be interpreted qualitatively using the pairing and deformation self-consistent cranked Wood-Saxon calculations.展开更多
including octupole correlations in the Nilsson potential,the ground-state rotational bands in the reflection-asymmetric(RA)nuclei are investigated by using the cranked shell model(CSM)with the monopole and quadrupole ...including octupole correlations in the Nilsson potential,the ground-state rotational bands in the reflection-asymmetric(RA)nuclei are investigated by using the cranked shell model(CSM)with the monopole and quadrupole pairing correlations treated by a particle-number-conserving(PNC)method.The experimental kinematic moments ofinertia(Mols)for alternating-parity bands in the even-even nuclei ^(236,238)U and ^(238,240)Pu,as well as paritydoublet bands in the odd-A nuclei 237U and 239Pu are reproduced well by the PNC-CSM calculations.The higher J(1)for the intrinsic s=-i bands in ^(237)U and ^(239)Pu,compared with the s=+1 bands in the neighboring even-even nuclei ^(236,238)U and ^(238,240)Pu,can be attributed to the pairing gap reduction due to the Pauli blocking effect.The gradual increase of J(i)versus rotational frequency can be explained by the pairing gap reduction due to the rotation.The Mols of reflection-asymmetric nuclei are higher than those of reflection-symmetric(RS)nuclei at low rotational frequency.Moreover,the inclusion of a larger octupole deformation 8,in the RA nuclei results in more significant pairing gap reduction compared with the RS nuclei.展开更多
文摘The Cranking Nilsson model is applied to calculate the single-particle energy eigenvalues and eigenfunctions of nuclei in a strongly deformed potential. Accordingly, The L. D. Energy, the Strutinsky inertia, the L. D. inertia, the volume conservation factor , the smoothed energy, the BCS energy, the G-value and the electric quadrupole moment of the five uranium isotopes: 230U, 232U, 234U, 236U and 238U are calculated as functions of the deformation parameter. Furthermore, the single-particle Schrodinger fluid is applied to calculate the rigid-body model, the cranking-model and the equilibrium-model moments of inertia of the five uranium isotopes. Moreover, the collective model is applied to calculate the rotational energies of these isotopes. The best potential and deformation parameters are also given.
文摘The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt method of nonlinear least-squares routines,we determine the expansion coefficients by fitting the proposed dynamical moment of inertia with its recent experimental data of the SD nuclei in the A=190 mass region.The comparison between our theoretical and available experimental data for the dynamic moment of inertia and spin shows good agreements. Also,we have calculated the static moment of inertia at three alternative values of spin.The value of spin at which the two moments of inertia are nearly equals is to be regarded as a bandhead spin of the corresponding band.These studies are carried out for eighteen bands of odd-A nuclei of the superdeformed region 190,namely ~(189)Hg(b1),~(191)Hg(b1,b2, b3,b4),~(193)Hg(b2,b3,b5),~(195)Hg(b1,b2,b3,b4),~(193)Tl(b1,b2,b3,b5),~(189)Tl(b1),and~(197)Bi(b1).We also notice the occurrence of identical SD bands with near identical transition energies among the considered SD bands.
基金National Natural Science Foundation of China under Grant No.10675006
文摘The microscopic mechanism of nine experimentally observed bands in ^178W is investigated using the particle-number conserving method of the cranked shell model with monopole and quadrupole paring interactions. The experimental results, including the moments of inertia and angular momentum alignments of nine bands in ^178W, are reproduced well by the particle-number conserving calculations, in which no free parameter is involved. Calculations demonstrate that occurrence of sharp backbending comes mainly from the contribution of high-j intruder orbitals vi13/2 or πh11/2 and their interference effect with orbitals near the Fermi surface. Theω variation of the occupation probability of each cranked orbital and the contribution to moment of inertia from each cranked orbital are analyzed.
基金supported by National Natural Science Foundation of China (No.10675006)
文摘152^Dy is the first observed superdeformed nucleus, whose band structure reflects the typical distribution of high j low Ω orbitals of superdeformed nuclei in A-150 mass region. The particle-number conserving treatment of the cranked shell model with monopole and quadrupole paring interactions is adopted to investigate the observed six superdeformed bands in 152^Dy. The π[523]7/2 orbital is emphasized for the first time to interpret the microscopic structure of band 2 and 3 of 152^Dy. A new comprehension is proposed on the basis of ever existing experimental and theoretical results, and the reliability is illustrated by several superdeformed bands of neighboring nuclei.
文摘The experimental large fluctuation in odd-even differences in moments ofinertia of deformed actinide nuclei is investigated using the particle-number conserving (PNC)method for treating the cranked shell model with monopole and quadrupole pairing interactions. PNCcalculations show that the large odd-even difference in moments of inertia mainly comes from theinterference contributions j(μv) from particles in high j intruder orbitals μ and v quite near theFermi surface, which have no counterpart in the BCS formalism. The effective monopole andquadrupole pairing interaction strengths are determined to fit the experimental odd-even differencesin binding energies and bandhead moments of inertia. The experimental results for the variation ofmoments of inertia with rotational frequency ω are reproduced well by the PNC calculation. Thenearly identical experimental moments of inertia between ~(236)U(gsb) and ~(238)U(gsb) at lowfrequencies hω ≤ 0.20 MeV are also reproduced quite well.
文摘The single-particle Schrödinger fluid model is designed mainly to calculate the moments of inertia of the axially symmetric deformed nuclei by assuming that each nucleon in the nucleus is moving in a single-particle potential which is deformed with time t, through its parametric dependence on a classical shape variable α(t). Also, the Nilsson model is designed for the calculations of the single-particle energy levels, the magnetic dipole moments, and the electric quadrupole moments of axially symmetric deformed nuclei by assuming that all the nucleons are moving in the field of an anisotropic oscillator potential. On the other hand, the nuclear superfluidity model is designed for the calculations of the nuclear moments of inertia and the electric quadrupole moments of deformed nuclei which have no axes of symmetry by assuming that the nucleons are moving in a quadruple deformed potential. Furthermore, the cranked Nilsson model is designed for the calculations of the total nuclear energy and the quadrupole moments of deformed nuclei which have no axes of symmetry by modifying the Nilsson potential to include second and fourth order oscillations. Accordingly, to investigate whether the six p-shell isotopes <sup>6</sup>Li, <sup>7</sup>Li, <sup>8</sup>Li, <sup>9</sup>Li, <sup>10</sup>Li, and <sup>11</sup>Li have axes of symmetry or not, we applied the four mentioned models to each nucleus by calculating their moments of inertia, their magnetic dipole moments, and their electric quadrupole moments by varying the deformation parameter β and the non-axiality parameter γ in wide ranges of values for this reason. Hence for the assumption that these isotopes are deformed and have axes of symmetry, we applied the single-particle Schrödinger fluid model and the Nilsson model. On the other hand, for the assumption that these isotopes are deformed and have no axes of symmetry, we applied the cranked Nilsson model and the nuclear super fluidity model. As a result of our calculations, we can conclude that the nucleus <sup>6</sup>Li may be assumed to be deformed and has an axis of symmetry.
基金supported by the National Natural Science Foundation of China(12475121)the National Key R&D Program of China(2023YFA1606503,2024YFE0109804)。
文摘Theπd_(5/2)rotational bands in odd-even nuclei^(117,119,121,123,125)Cs are systematically investigated using the cranked shell model(CSM)with the pairing correlations modeled with a particle number conserving(PNC)method.In this PNC method,the particle number is conserved exactly while considering the blocking effects.The experimental observations of theπd_(5/2)bands with two upbendings for^(117,119)Cs and one backbending for^(125)Cs are reproduced very well by the PNC-CSM method.Furthermore,πd_(5/2)configuration bands with two upbendings for^(121)Cs and one backbending for^(123)Cs are predicted by the PNC-CSM calculations.The difference between the lighter^(117,119,121)Cs and heavier^(123,125)Cs isotopes is caused by the evolution of single-particle orbitals near the Fermi surface,and the high-j low-Ωorbitalπ[550]1=2 plays an important role.The proton shell gap of lighter isotopes is at Z=50,whereas it appears at Z=48 for heavier ones.For lighter isotopes^(117,119,121)Cs,the first upbending is primarily due to the off-diagonal contributions of protons jx(π5=2^(-)[532]π3=2^(-)[541])and jx(π1=2^(-)[550]π3=2^(-)[541]).The second upbending is mainly effected by the off-diagonal contributions of neutrons jx(π7=2^(-)[523]π5=2^(-)[532])and jx(ν3=2^(-)[541]ν5=2^(-)[532])for^(117,119)Cs and jx(ν1=2^(-)[541]ν5=2^(-)[532])for^(121)Cs,respectively.For heavier isotopes such as^(123,125)Cs,the backbending is attributed mainly to the diagonal parts of proton jx(π1=2^(-)[550])and neutronν7=2^(-)[523]orbital related terms of diagonal jx(ν7=2^(-)[523])and off-diagonal jx(ν7=2^(-)[523]ν5=2^(-)[532])contributions.
基金Supported by the National Natural Science Foundation of China(12275115,11975209,12175097)Natural Science Foundation of Henan(252300421478)。
文摘In this study,the evolution of nuclear shape and rotational behavior along the yrast line in even-even^(126-136)was systematically investigated using pairing self-consistent Woods-Saxon-Strutinsky calculations combined with the total Routhian surface(TRS)method in the(β_(2),γ,β_(4))deformation space.Empirical laws were applied to evaluate nuclear ground-state properties,revealing a shape evolution from axially deformed to non-axial vibrational configuration in even-even isotopes.Particularly,an extremeγ-unstable shape was predicted in.The shape transition of the ground state in these nuclei was confirmed by the TRS calculations.In addition,the evolution of the nuclear shape in high spin states with varying rotational axes associated with rotation around the medium,long,and short axes was elucidated from the TRS calculations.This variation was further characterized by the alignment of theπ(h_(11/2))^(2)and v(h11/2)^(2)configurations,highlighting a preference for non-collective oblate/triaxial shapes withγ>0°and collective oblate/triaxial shapes withγ<0°,espectively.
基金supported by the National Basic Research Program of China(Grant No.2007CB815000)the National Natural Science Foundation of China(Grant Nos.10975008, 11105005 and 11175002)the Research Fund for the Doctoral Program of Higher Education(Grant No.20110001110087)
文摘The effects of the nuclear current in the antimagnetic rotation band of 105Cd have been investigated in a fully self-consistent and microscopic way by using the tilted axis cranking relativistic mean-field model.It was found that the inclusion of nuclear current leads to a higher angular momentum and thus a larger kinetic moment of inertia at a given rotational frequency.As a consequence,the B(E2) values with current are always smaller than those without current.
基金supported by the YKM Entrepreneurial Education Foundationthe National Natural Science Foundation of China (Grant Nos.10735010 and 10975006)the Chinese Major State Basic Research Development Program (Grant No. 2007CB815000)
文摘Neutron-deficient Z ≈ N nuclei84,86Mo have been investigated using pairing-deformation self-consistent cranked shell modelcalculations up to spin I > 20 . Our calculations are in good agreement with the experimental data, indicating γ-soft triaxial shapesat low rotational frequency and well-deformed triaxial-oblate shapes at high rotational frequency for both nuclei. The shape changeis due to the alignments of the g9/2protons and g9/2neutrons.
基金Supported by Natural Science Foundation of Guangxi(2014jj BA100162014jj DA10012)National Natural Science Foundation of China(11465005)
文摘Phase transition in odd-N isotopes ^99,101,103 Pd are investigated via the E-GOS(E-Gamma Over Spin)curves, which strongly suggest a structure evolution from vibration to rotation along the yrast lines with increasing spin. Theoretical calculations have been performed for the ground state bands of ^99,101,103 Pd in the framework of the cranked shell model(CSM) and the alignment properties observed experimentally are analyzed employing this model. The results show that the phase transition in the ground state bands of ^99,101,103 Pd can be interpreted as the valence nucleons start to occupy the g9/2 proton orbitals with increasing spin which would polarize the core to a small, but rigid quadrupole deformation.
文摘The negative parity high spin states in 45Ti have been investigated with the interacting shell model including the full fp shell and the configuration dependent cranked Nilsson-Strutinsky approach. Generally, the shell model has successfully reproduced the energy levels of negative parity bands, especially has a good description of the signature inversion at 17/2-. The reduced electric quadrupole transition probabilities of high spin states are calculated by the two models and compared with the experimental results. Reasonable agreement between theories and experiment are obtained, while the shell model can give more fine structures. The large differences of elctromagnetic moments between the shell model calculation and observation call for more elaborate effective interaction and more active shells.
基金Supported by National Natural Science Foundation of China(11775112 and 11275098)the Priority Academic Program Development of Jiangsu Higher Education Institutions
文摘Experimentally observed superdeformed(SD) rotational bands in36Ar and40Ar are studied by the cranked shell model(CSM) with the pairing correlations treated by a particle-number-conserving(PNC) method.This is the first time that PNC-CSM calculations have been performed on the light nuclear mass region around A=40.The experimental kinematic moments of inertia J~((1))versus rotational frequency are reproduced well. The backbending of the SD band at frequency around ω =1.5 Me V in36Ar is attributed to the sharp rise of the simultaneous alignments of the neutron and proton 1 d5/2[202]5/2 pairs and 1 f7/2[321]3/2 pairs, which is a consequence of the band crossing between the 1 d5/2[202]5/2 and 1 f7/2[321]3/2 configuration states. The gentle upbending at low frequency of the SD band in40Ar is mainly affected by the alignments of the neutron 1 f7/2[321]3/2 pairs and proton 1 d5/2[202]5/2 pairs.The PNC-CSM calculations show that besides the diagonal parts, the off-diagonal parts of the alignments play an important role in the rotational behavior of the SD bands.
基金the National Natural Science Foundation of China(Grant No.10025525)Japan STA Scientist Exchange Program(Grant No.1998-21)+2 种基金JSPS Invitation Fellowship(Grant No.L00515)the Major State Basic Research Development Program of China(Grant No.G20000774)the Chinese Academy of Sciences
文摘High-spin states in182Au have been produced and studied via the152Sm(35Cl,5nγ)182Au reaction. The level scheme consisting of the πh 9/2?νi 13/2 and πi 13/2?νi 13/2 bands has been established for the first time. The low spin signature inversion in both bands has been found. The observed signature inversion phenomena can be interpreted qualitatively using the pairing and deformation self-consistent cranked Wood-Saxon calculations.
文摘including octupole correlations in the Nilsson potential,the ground-state rotational bands in the reflection-asymmetric(RA)nuclei are investigated by using the cranked shell model(CSM)with the monopole and quadrupole pairing correlations treated by a particle-number-conserving(PNC)method.The experimental kinematic moments ofinertia(Mols)for alternating-parity bands in the even-even nuclei ^(236,238)U and ^(238,240)Pu,as well as paritydoublet bands in the odd-A nuclei 237U and 239Pu are reproduced well by the PNC-CSM calculations.The higher J(1)for the intrinsic s=-i bands in ^(237)U and ^(239)Pu,compared with the s=+1 bands in the neighboring even-even nuclei ^(236,238)U and ^(238,240)Pu,can be attributed to the pairing gap reduction due to the Pauli blocking effect.The gradual increase of J(i)versus rotational frequency can be explained by the pairing gap reduction due to the rotation.The Mols of reflection-asymmetric nuclei are higher than those of reflection-symmetric(RS)nuclei at low rotational frequency.Moreover,the inclusion of a larger octupole deformation 8,in the RA nuclei results in more significant pairing gap reduction compared with the RS nuclei.