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Study of the elastic scattering effects of a slowing-down model on D–T neutron porosity logging
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作者 Shao-Heng Zhou Ying-Long Tao +6 位作者 Bo Chang Li-Juan Hao Jie-Qiong Jiang Ya-Zhou Li Fang Wang Quan Gan FDS Consortium 《Nuclear Science and Techniques》 2025年第5期206-215,共10页
The application of a controllable neutron source for measuring formation porosity in the advancement of nuclear logging has garnered increased attention.The existing porosity algorithm,which is based on the thermal ne... The application of a controllable neutron source for measuring formation porosity in the advancement of nuclear logging has garnered increased attention.The existing porosity algorithm,which is based on the thermal neutron counting ratio,exhibits lower sensitivity in high-porosity regions.To enhance the sensitivity,the effects of elastic and inelastic scattering,which influence the slowing-down of fast neutrons,were theoretically analyzed,and a slowing-down model of fast neutrons was created.Based on this model,a density correction porosity algorithm was proposed based on the relationship between density,thermal neutron counting ratio,and porosity.Finally,the super multifunctional calculation program for nuclear design and safety evaluation(TopMC/SuperMC)was used to create a simulation model for porosity logging,and its applicability was examined.The results demonstrated that the relative error between the calculated and actual porosities was less than 1%,and the influence of deviation in the density measurement was less than 2%.Therefore,the proposed density correction algorithm based on the slowing-down model of fast neutrons can effectively improve the sensitivity in the high-porosity region.This study is expected to serve as a reference for the application of neutron porosity measurements with D–T neutron sources. 展开更多
关键词 D–T neutron source Slowing-down model elastic scattering Neutron porosity
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Elastic scattering of metastable positronium from antihydrogen
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作者 Yi Zhang Jun-Yi Zhang 《Communications in Theoretical Physics》 2025年第7期187-192,共6页
The study of collision between metastable positronium(Ps)and antihydrogen(H)is crucial for precision experiments involving H.In this paper,we investigate the elastic scattering between H and Ps(2s)by combining the con... The study of collision between metastable positronium(Ps)and antihydrogen(H)is crucial for precision experiments involving H.In this paper,we investigate the elastic scattering between H and Ps(2s)by combining the confined variational method with the projection method,for scattering energies from 0.0245 eV to 0.068 eV.Our calculations provide accurate phase shifts and cross sections for the 1,3S and 1,3P symmetries.Near the binding threshold,the rapid increase in the total cross section may be attributed to the P-wave resonance effect.Additionally,we determined the S-wave scattering lengths to be 9.34 a_(0)and 5.81 a_(0)for singlet and triplet elastic scattering,respectively. 展开更多
关键词 elastic scattering POSITRONIUM ANTIHYDROGEN
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First proof-of-principle experiment with the post-accelerated isotope separator on-line beam at BRIF:measurement of the angular distribution of ^(23)Na+^(40)Ca elastic scattering 被引量:13
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作者 Wei Nan Bing Guo +34 位作者 Cheng-Jian Lin Lei Yang Dong-Xi Wang Yang-Ping Shen Bing Tang Bao-Qun Cui Tao Ge Yin-Long Lyu Hui-Ming Jia Yun-Ju Li Chen Chen Li-Hua Chen Qi-Wen Fan Xin-Yue Li Gang Lian Jian-Cheng Liu Tian-Peng Luo Nan-Ru Ma Rui-Gang Ma Xie Ma Ying-Jun Ma Wei-Ke Nan Dan-Yang Pang You-Bao Wang Pei-Wei Wen Feng Yang Yong-Jin Yao Sheng Zeng Hao Zhang Fu-Peng Zhong Shan-Hao Zhong Zhi-Hong Li Tian-Jue Zhang Wei-Ping Liu BRIF Collaboration 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2021年第5期101-106,共6页
The reaction dynamics of exotic nuclei near the drip line is one of the main research topics of current interest.Elastic scattering is a useful probe for investigating the size and surface diffuseness of exotic nuclei... The reaction dynamics of exotic nuclei near the drip line is one of the main research topics of current interest.Elastic scattering is a useful probe for investigating the size and surface diffuseness of exotic nuclei.The development of rare isotope accelerators offers opportunities for such studies.To date,many relevant measurements have been performed at accelerators using the projectile fragmentation technique,while the measurements at accelerators using isotope separator on-line(ISOL)systems are still quite scarce.In this work,we present the first proof-of-principle experiment with a post-accelerated ISOL beam at the Beijing Radioactive Ion Beam Facility(BRIF)by measuring the angular distribution of elastic scattering for the stable nucleus^(23)Na from the doubly magic nucleus^(40)Ca at energies above the Coulomb barrier.The angular distribution measured by a silicon strip detector array in a scattering chamber using the ISOL beam at BRIF is in good agreement with that measured by the high-precision Q3 D magnetic spectrograph using the nonISOL beam at nearly the same energy.This work provides useful background for making BRIF a powerful tool for the investigation of the reaction dynamics of exotic nuclei. 展开更多
关键词 BRIF Exotic nuclei elastic scattering Angular distribution
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The effects of beam drifts on elastic scattering measured by the large solid-angle covered detector array 被引量:5
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作者 Yong-Jin Yao Cheng-Jian Lin +6 位作者 Lei Yang Nan-Ru Ma Dong-Xi Wang Gao-Long Zhang Guang-Xin Zhang Hui-Ming Jia Feng Yang 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2021年第2期24-31,共8页
A new detector array characterized by compact structure and large solid-angle coverage was designed for radioactive ion beam(RIB)experiments and measuring multi-particle correlations.A Monte Carlo simulation was perfo... A new detector array characterized by compact structure and large solid-angle coverage was designed for radioactive ion beam(RIB)experiments and measuring multi-particle correlations.A Monte Carlo simulation was performed to explore the effects of beam drifts in different directions and distances on the angular distribution of the Rutherford scattering,as measured by the detector array.The results indicate that when the beam drift distance is less than 2.0 mm,the symmetry of the detector array can maintain a count error of less than 5%.This confirms the property of the detector array for RIB experiments.Furthermore,the simulation was validated through the elastic scattering angular distributions of 6;7 Li measured by the detector array in 6;7Li t209 Bi experiments at different energies. 展开更多
关键词 Large solid-angle detector array Beam drift Monte Carlo simulation elastic scattering
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High Energy ^-pp and pp Elastic Scatterings in QCD Inspired Model 被引量:2
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作者 LU Juan MA Wei-Xing HE Xiao-Rong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第4期715-718,共4页
We propose QCD inspired model to calculate ^-pp and pp elastic scatterings at high energies in this paper. A calculation for total cross section of ^-pp and pp is performed in which the contributions from gluon-gluon,... We propose QCD inspired model to calculate ^-pp and pp elastic scatterings at high energies in this paper. A calculation for total cross section of ^-pp and pp is performed in which the contributions from gluon-gluon, quark-quark, and gluon-quark interactions are included. Our results show that the QCD inspired model gives a perfect fit to experimental data of total cross section both for ^-pp and pp elastic scatterings at the whole energy region where experimental data existed at FNAL and CERN. 展开更多
关键词 QCD inspired model eikonal profile function high-energy elastic scattering
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B3Y-FETAL effective interaction in the folding analysis of elastic scattering of ^(16)O+^(16)O 被引量:1
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作者 I.Ochala J.O.Fiase 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2021年第8期34-47,共14页
In this paper,a new M3Y-type effective nucleon–nucleon interaction,derived based on the lowest order constrained variational approach(LOCV)and termed B3Y-Fetal,has been used in DDM3Y1,BDM3Y1,BDM3Y2,and BDM3Y3 density... In this paper,a new M3Y-type effective nucleon–nucleon interaction,derived based on the lowest order constrained variational approach(LOCV)and termed B3Y-Fetal,has been used in DDM3Y1,BDM3Y1,BDM3Y2,and BDM3Y3 density-dependent versions in a heavy ion(HI)optical potential based on four types of a real folded potential and a phenomenological Woods–Saxon imaginary potential to study the elastic scattering of the^(16)O+^(16)O nuclear system within the framework of the optical model(OM)by computing the associated differential cross sections at various incident energies.The results of the folding analyses have shown the DDB3Y1-Fetal and BDB3Y1-Fetal,out of the four folded potentials,give a reasonably better description of the elastic data of the nuclear system.These best-fit folded potentials are followed,in performance,by the BDB3Y2-Fetal,with the BDB3Y3-Fetal potential coming last.This performance trend was also demonstrated by the optical potentials based on the M3Y-Reid interaction.Furthermore,the best-fit folded potentials,renormalized by a factor NRof approximately 0.9,have been shown to reproduce the energy dependence of the real optical potential for^(16)O scattering found in previous optical model analyses creditably well.In excellent agreement with previous works,they have also been identified in this work to belong to the family of deep refractive potentials because they have been able to reproduce and consistently describe the evolution of Airylike structures,at large scattering angles,observed in the^(16)O scattering data at different energies.Finally,a comparison of the performances of B3Y-Fetal and M3Y-Reid effective interactions undertaken in this work has shown impressive agreement between them. 展开更多
关键词 B3Y-Fetal Folding analysis elastic scattering Optical model Incident energies
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A New Simulation of Track Structure of Low-Energy Electrons in Liquid Water:Considering the Condensed-Phase Effect on Electron Elastic Scattering
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作者 刘玮 谭震宇 C.Champion 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第9期35-38,共4页
A new Monte Carlo simulation of the track structure of low-energy electrons (〈10keV) in liquid water is presented. The feature of the simulation is taken into consideration of the condensed-phase effect of liquid w... A new Monte Carlo simulation of the track structure of low-energy electrons (〈10keV) in liquid water is presented. The feature of the simulation is taken into consideration of the condensed-phase effect of liquid water on electron elastic scattering with the use of the Champion model, while the dielectric response formalism incorporating the optical-data model developed by Emfietzoglou et al. is applied for calculating the electron inelastic scattering. The spatial distributions of energy deposition and inelastic scattering events of low-energy electrons with different primary energies in liquid water are calculated and compared with other theoretical evaluations. The present work shows that the condensed-phase effect of liquid water on electron elastic scattering may be of the influence on the fraction of absorbed energy and distribution of inelastic scattering events at lower primary energies, which also indicate potential effects on the DNA damage induced by low-energy electrons. 展开更多
关键词 of as in A New Simulation of Track Structure of Low-Energy Electrons in Liquid Water:Considering the Condensed-Phase Effect on Electron elastic scattering for CCPI on is
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High Energy Proton-Proton Elastic Scattering in Reggeon-Pomeron Exchange Model
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作者 ZHOU Li-Juan HU Zhao-Hui MA Wei-Xing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第6期1069-1072,共4页
We initially propose a Reggeon-Pomeron exchange model to describe proton-proton elastic scattering at high energies in this short paper. A calculation for total cross section of proton-proton elastic scattering at hig... We initially propose a Reggeon-Pomeron exchange model to describe proton-proton elastic scattering at high energies in this short paper. A calculation for total cross section of proton-proton elastic scattering at high energies is performed without any free parameters. Our new finding from this work is that the Reggeon-Pomeron model gives a perfect fit to experimental data of the total cross section at the whole energy region where experimental data exist. 展开更多
关键词 Reggeon-Pomeron model Reggeon POMERON Regge theory high energy elastic scattering
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Proton Elastic Scattering from ^14Be and Halo Effects
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作者 GU Bai-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第4X期711-716,共6页
The elastic scattering of p-^14Be system at Elab = 200 MeV is evaluated within the relativistic impulse approximation. We discuss the effects of the halo neutrons on the three observables of the elastic scattering sys... The elastic scattering of p-^14Be system at Elab = 200 MeV is evaluated within the relativistic impulse approximation. We discuss the effects of the halo neutrons on the three observables of the elastic scattering system, such as differential cross section dσ/ dΩ, analyzing power Ay and spin rotation Q. The results of the three observables of the elastic scattering of p-^14Be system are compared with those of p-^12C and p-^16O systems at the same energy as E1ab = 200 MeV. We have found that in the small angular region the Ay and Q, as well as dσ/dΩ, are quite sensitive to the nucleon density distributions on the surface of the target nucleus and offer some unique behaviors of halo nuclei. 展开更多
关键词 halo nuclei proton elastic scattering RIA differential cross section analyzing power spin rotation function
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Quark, Gluon, Odderon Contributions to Total Cross Section of Proton-Proton Elastic Scattering at High Energies
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作者 LU Juan ZHOU Li-Huan +1 位作者 MA Wei-Xing HE Xiao-Rong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第1期207-211,共5页
Based on the quark-gluon structure of nucleon and the existence of Odderon in nucleon via gluon selfinteraction, the elastic scattering of pp at high energies is studied. Our theoretical predictions reproduce experime... Based on the quark-gluon structure of nucleon and the existence of Odderon in nucleon via gluon selfinteraction, the elastic scattering of pp at high energies is studied. Our theoretical predictions reproduce experimental data perfectly. The contributions from individual terms of quark-quark, gluon-gluon interactions, quark-gluon interference and the Odderon terms to total cross section are analyzed. In addition to the leading quark-quark contribution, the Odderon contribution is quite important. In particular, the Odderon plays an essential role in fitting to data. Therefore, We may claim that the high energy pp and pp elastic scattering may be good processes to search for the Odderon, the three Reggeized gluon bound states. 展开更多
关键词 pp elastic scattering QUARK GLUON Odderons
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Reanalysis of Elastic Scattering of ~6Li + ^(209)Bi Reaction Using a New DensityDistribution of ~6Li Nucleus
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作者 M. Aygun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第7期69-72,共4页
In the present paper, the elastic scattering of6 Li + 209 Bi system is reanalyzed by using the double folding model (DFM) at energies near the Coulomb barrier (ELab=29.9 and 32.8 MeV). With this goal, a new density di... In the present paper, the elastic scattering of6 Li + 209 Bi system is reanalyzed by using the double folding model (DFM) at energies near the Coulomb barrier (ELab=29.9 and 32.8 MeV). With this goal, a new density distribution of6 Li nucleus, the no-core full configuration (NCFC) density distribution (DD), is used to obtain the real potentials in DFM calculations. The NCFC DD results are compared with the results of both gaussian shape (GS) DD and an earlier study as well as the experimental data. This comparison provides information about the similarities and differences of the models used in calculations. 展开更多
关键词 optical model microscopic approaches double folding model elastic scattering
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Elastic scattering of two ground-state N atoms
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作者 施德恒 张小妞 +2 位作者 刘慧 朱遵略 孙金锋 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第1期268-275,共8页
An interaction potential for an N2(X^1∑g^+) molecule is constructed by using the highly accurate valence internally contracted multireference configuration interaction method and the largest basis set, aug-cc-pV6Z... An interaction potential for an N2(X^1∑g^+) molecule is constructed by using the highly accurate valence internally contracted multireference configuration interaction method and the largest basis set, aug-cc-pV6Z, in the valence range. The potential is used to investigate the elastic scattering of two N atoms at energies from 1.0×10^-11 to 1.0 × 10^-4 a.u. The derived total elastic cross sections are very large and almost constant at ultralow temperatures, and the shape of total elastic cross section curve is mainly dominated by the s-partial wave at very low collision energies. Three shape resonances are found in the total elastic cross sections. Concretely, the first one is very sharp and strong. It results from the g-partial-wave contribution and the resonant energy is 3.645 × 10^-6 a.u. The second one is contributed by the h-partial wave and the resonant energy is 1.752 × 10^-5 a.u. This resonance is broadened by those from the d- and f-partial waves. The third one comes from the l = 6 partial wave contribution and the resonant energy is 3.522 × 10^-5 a.u. This resonance is broadened by those from the g- and h-partial waves. The N2(X1∑g+) molecular parameters, which are determined at the current theoretical level, achieve very high accuracy due to the employment of the largest correlation-consistent basis set in the valence range. 展开更多
关键词 elastic scattering total cross section shape resonance molecular parameter
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Role of elastic scattering in high-order above threshold ionization
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作者 陈长进 叶坚绵 徐杨兵 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第10期127-134,共8页
We investigate the target and intensity dependence of plateau in high-order above threshold ionization(HATI) by simulating the two-dimensional(2D) momentum distributions and the energy spectra of photoelectrons in... We investigate the target and intensity dependence of plateau in high-order above threshold ionization(HATI) by simulating the two-dimensional(2D) momentum distributions and the energy spectra of photoelectrons in HATI of rare gas atoms through using the quantitative rescattering model. The simulated results are compared with the existing experimental measurements. It is found that the slope of the plateau in the HATI photoelectron energy spectrum highly depends on the structure of elastic scattering differential cross section(DCS) of laser-induced returning electron with its parent ion. The investigations of the long- and short-range potential effects in the DCSs reveal that the short-range potential, which reflects the structure of the target, plays an essential role in generating the HATI photoelectron spectra. 展开更多
关键词 above threshold ionization PLATEAU returning electron wave packet elastic scattering
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Polarization and exchange effects in elastic scattering of electron with atoms and ions
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作者 Zhang-Jin Chen Dan-Dan Cui 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第5期179-186,共8页
Laser-induced electron diffraction(LIED), in which elastic scattering of the returning electron with the parent ion takes place, has been used to extract atomic potential and image molecular structures with sub-?A ... Laser-induced electron diffraction(LIED), in which elastic scattering of the returning electron with the parent ion takes place, has been used to extract atomic potential and image molecular structures with sub-?A precision and exposure time of a few femtoseconds. So far, the polarization and exchange effects have not been taken into account in the theoretical calculation of differential cross section(DCS) for the laser-induced rescattering processes. However, the validity of this theoretical treatment has never been verified. In this work, we investigate the polarization and exchange effects on electron impact elastic scattering with rare gas atoms and ions. It is found that, while the exchange effect generally plays a more important role than the polarization effect in the elastic scattering process, the exchange effect is less important on electron–ion collisions than on electron–atom collisions, especially for scattering in backward direction. In addition, our calculations show that, for electron–atom collisions at incident energies above 50 e V, both the polarization and exchange effects can be safely neglected, while for electron–ion collisions, both the polarization and exchange potentials do not make substantial contributions to the DCS at incident energies above 20 e V and scattering angles larger than 90?. Our investigation confirms the validity of the current LIED method. 展开更多
关键词 POLARIZATION EXCHANGE elastic scattering differential cross sections
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πN Elastic Scattering and Resonances in Quark Potential Model
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作者 WANG Hai-Jun SU Jun-Chen 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第4期987-992,共6页
The quark potential model is used to investigate the low-energy elastic scattering of πN system. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the harmonic oscillator c... The quark potential model is used to investigate the low-energy elastic scattering of πN system. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the harmonic oscillator confining potential. By means of the resonating group method, a nonlocal effective potential for the πN system is derived from the interquark potentials and used to calculate the πN elastic scattering phase shifts. By considering the effect of QCD renormalization, the suppression of the spin-orbital coupling and the contribution of the color octet of the clusters (qq) and (qqq), the numerical results are in fairly good agreement with the experimental data. The same model and method are employed to investigate the possible πN resonances. For this purpose, the resonating group equation is transformed into a standard Schrodinger equation in which the nonlocal effective πN interaction potential is included. Solving the Schrodinger equation by the variational method, we are able to reproduce the masses of some currently concerned πN resonances. 展开更多
关键词 quark potential model pion-baryon interactions pion elastic scattering
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Elastic scattering of sodium and cesium atoms at ultracold temperatures
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作者 张计才 王克栋 +1 位作者 刘玉芳 孙金锋 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第9期171-174,共4页
The elastic scattering properties in a mixture of sodium and cesium atoms are investigated at cold and ultracold temperatures. Based on the accurate interatomic potential for the NaCs mixture, the interspecies s-wave ... The elastic scattering properties in a mixture of sodium and cesium atoms are investigated at cold and ultracold temperatures. Based on the accurate interatomic potential for the NaCs mixture, the interspecies s-wave scattering lengths, the effective ranges and the p-wave scattering lengths are calculated by the quantal method and the semiclassical method, respectively. The s-wave scattering lengths are 512.7a0 for the singlet state and 33.4a0 for the triplet state. In addition, the spin-change and elastic cross sections are also calculated, and the g-wave shape resonance is found in the total elastic cross sections. 展开更多
关键词 elastic scattering s-wave scattering length spin-change cross section
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Lower Energy α Elastic Scattering on ^(20)Ne and Anomaly of α+^(20)Ne Scattering System
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作者 杨永栩 谭海兰 李清润 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第4期655-658,共4页
The a+^2+ Ne elastic scattering angular distributions at lower incident energies of Eα= 12.7-31.1 Me V have been analyzed by using the a-folding potential based on the α+^16O structure model of the ^20Ne nucleus.... The a+^2+ Ne elastic scattering angular distributions at lower incident energies of Eα= 12.7-31.1 Me V have been analyzed by using the a-folding potential based on the α+^16O structure model of the ^20Ne nucleus. The a-folding potential with a standard Woods-Saxon type imaginary part, can reasonably describe experimental cross sections and the anomalous large angle scattering (ALAS) features. The anomaly of the a+^20Ne scattering system is further confirmed , in the lower incident energy region. 展开更多
关键词 α-nucleus elastic scattering folding potential nuclear cluster model
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Elastic scattering of electrons from water molecule
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作者 刘俊伯 周雅君 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期354-359,共6页
This paper uses the momentum-space optical potential method to calculate the e-H2O scattering elastic cross sections at the energy range from 6 eV to 50 eV, and the differential cross sections in the angle from 0 ... This paper uses the momentum-space optical potential method to calculate the e-H2O scattering elastic cross sections at the energy range from 6 eV to 50 eV, and the differential cross sections in the angle from 0 °to 180° at 40 eV and 50 eV. The polarisation is taken into account via an ab initio equivalent-local potential. The cross sections are compared with experimental measurements and other theoretical calculations. 展开更多
关键词 H2O the momentum-space optical potential method elastic scattering
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4.2 GeV α-^(12)C Elastic Scattering Based on α-Particle Mode
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作者 YANG Yong-Xu LU Xiao LI Qing-Run 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第6期1587-1590,共4页
Based on the α-particle model of ^12C nucleus, the differential cross sections for α-^12C elastic scattering at incident energy of 4.2 GeV have been calculated within the framework of Glauber multiple scattering the... Based on the α-particle model of ^12C nucleus, the differential cross sections for α-^12C elastic scattering at incident energy of 4.2 GeV have been calculated within the framework of Glauber multiple scattering theory. The results show that the main features of the measured angular distribution of the cross sections can be reasonably described. The parameterized α-α scattering amplitude, which is the basic input to construct the α-^12 C scattering Glauber amplitude in the a-particle model, is obtained by fitting the α-α scattering data. 展开更多
关键词 α-nucleus elastic scattering nuclear a-particle model α-α scattering amplitude
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K^- Nucleus Elastic Scattering and Momentum-Dependent Optical Potentials
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作者 ZHONGXian-Hui LILei CAIChong-Hai NINGPing-Zhi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第4期573-578,共6页
The K<SUP>?</SUP> nucleus differential elastic scattering cross section for <SUP>12</SUP>C and <SUP>40</SUP>Ca at is calculated with three momentum-dependent optical potential mode... The K<SUP>?</SUP> nucleus differential elastic scattering cross section for <SUP>12</SUP>C and <SUP>40</SUP>Ca at is calculated with three momentum-dependent optical potential models, which are density-dependent, relativistic mean field, and hybrid model, respectively. It is found that the forms of momentum-dependent optical potential models proposed by us are reasonable and gain success in the calculations and the momentum-dependent hybrid model is the best model for the K<SUP>?</SUP> nucleus elastic scattering. 展开更多
关键词 differential elastic scattering cross section momentum-dependent optical potential relativistic mean field
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