The aim of this work is to find exact solutions of the Dirac equation in(1+1) space-time beyond the already known class.We consider exact spin(and pseudo-spin) symmetric Dirac equations where the scalar potential is e...The aim of this work is to find exact solutions of the Dirac equation in(1+1) space-time beyond the already known class.We consider exact spin(and pseudo-spin) symmetric Dirac equations where the scalar potential is equal to plus(and minus) the vector potential.We also include pseudo-scalar potentials in the interaction.The spinor wavefunction is written as a bounded sum in a complete set of square integrable basis,which is chosen such that the matrix representation of the Dirac wave operator is tridiagonal and symmetric.This makes the matrix wave equation a symmetric three-term recursion relation for the expansion coefficients of the wavefunction.We solve the recursion relation exactly in terms of orthogonal polynomials and obtain the state functions and corresponding relativistic energy spectrum and phase shift.展开更多
The relativistic mean field(RMF)model has achieved great success in describing various nuclear phenomena.However,several serious defects are common.For instance,the pseudo-spin symmetry of high-l orbits is distinctly ...The relativistic mean field(RMF)model has achieved great success in describing various nuclear phenomena.However,several serious defects are common.For instance,the pseudo-spin symmetry of high-l orbits is distinctly violated in general,leading to spurious shell closures N Z 58 and 92.This leads to problems in describing structure properties,including shell structures,nuclear masses,etc.Guided by the pseudo-spin symmetry restoration[Geng et al.,Phys.Rev.C,100:051301(2019)],a new RMF Lagrangian DD-LZ1 is developed by considering the density-dependent meson-nucleon coupling strengths.With the newly obtained RMF Lagrangian DD-LZ1,satisfactory descriptions can be obtained for the bulk properties of nuclear matter and finite nuclei.In particular,significant improvements on describing the single-particle spectra are achieved by DD-LZ1.In particular,the spurious shell closures Z 58 and 92,commonly found in previous RMF calculations,are eliminated by the new effective interaction DD-LZ1,and consistently the pseudo-spin symmetry(PSS)around the Fermi levels is reasonably restored for both low-l and high-l orbits.Moreover,the description of nuclear masses is also notably improved by DD-LZ1,as compared to the other RMF Lagrangians.展开更多
The restoration of pseudo-spin symmetry（PSS） along the N = 32 and N = 34 isotonic chains and the physics behind are studied by applying the relativistic Hartree-Fock theory with the effective Lagrangian PKA1. Taking...The restoration of pseudo-spin symmetry（PSS） along the N = 32 and N = 34 isotonic chains and the physics behind are studied by applying the relativistic Hartree-Fock theory with the effective Lagrangian PKA1. Taking the proton pseudo-spin partners(π2s1/2, π1d3/2) as candidates, the systematic restoration of PSS along both isotonic chains is found from sulphur（S） to nickel（Ni）, while an obvious PSS violation from silicon（Si） to sulphur is discovered near the drip lines. The effects of the tensor force components are investigated, introduced naturally by the Fock terms, which can only partially interpret the systematics from calcium to nickel, whereas they fail for the overall trends. Further analysis following the Schr?dinger-like equation of the lower component of Dirac spinor shows that contributions from the Hartree terms dominate the overall systematics of the PSS restoration. Such effects can be self-consistently interpreted by the evolution of the proton central density profiles along both isotonic chains. In particular, the PSS violation is found to tightly relate to the dramatic changes from the bubble-like density profiles in silicon to the central-bumped ones in sulphur.展开更多
目的比较多参数三维假连续式动脉自旋标记灌注成像(3D p CASL)与动态磁敏感增强灌注成像(DSC PWI)对短暂性脑缺血发作(TIA)责任病灶的检出率。方法比较39例临床诊断TIA患者,并在首次发作24 h内进行磁共振检查。扫描序列包括常规头颅MR...目的比较多参数三维假连续式动脉自旋标记灌注成像(3D p CASL)与动态磁敏感增强灌注成像(DSC PWI)对短暂性脑缺血发作(TIA)责任病灶的检出率。方法比较39例临床诊断TIA患者,并在首次发作24 h内进行磁共振检查。扫描序列包括常规头颅MR成像、MRA(MRA),DWI、3D p CASL(选取两个标记延迟时间post-labeling time,PLD,PLD=1.5 s及PLD=2.5 s),DSC PWI。后处理获取3D p CASL的脑血流(CBF)图像和DSC PWI的Tmax图像。比较不同灌注方法与MRA及DWI结合法对于缺血病灶检出率和缺血面积。结果 TIA患者的缺血病灶检出率,3D p CASL(PLD1.5 s及PLD2.5 s)的CBF图像与DSC PWI Tmax对比无差异;3D p CASL(PLD1.5 s)的CBF图像对于缺血的检出率高于MRA结合DWI法;DSC PWI Tmax、3D p CASL(PLD2.5 s)CBF与MRA结合DWI法无差异。显示低灌注面积,3D p CASL(PLD1.5 s)的CBF图像显示的面积最大,其次是DSC PWI Tmax,而3D p CASL(PLD2.5 s)的CBF图像显示的低灌注面积最小。结论 3D p CASL脑灌注成像技术无创、快速、可重复性强,推荐作为临床可疑TIA患者的影像筛查手段,不同PLD的3D p CASL序列对于病灶的检出及缺血面积的显示有差异,选择较短PLD有可能提高病灶的检出率。展开更多
The magnetization of coupled ferromagnetic films is calculated by Green's function method. The coupling can either be ferromagnetic or antiferromagnetic. For the latter case, a concept of pseudo-spin is suggested ...The magnetization of coupled ferromagnetic films is calculated by Green's function method. The coupling can either be ferromagnetic or antiferromagnetic. For the latter case, a concept of pseudo-spin is suggested to make calculation possible. A pseudo-spin is actually an anti-spin with its properties being analogue to other known anti particles such as a hole. The decreasing of Curie point as the coupling strength decays is computed. It is noted that with the same strength, antiferromagnetic coupling has higher Curie point than ferromagnetic coupling.展开更多
基金King Fahd University of Petroleum and Minerals (KFUPM) for their support under research grant RG1502the material support and encouragements of the Saudi Center for Theoretical Physics (SCTP)
文摘The aim of this work is to find exact solutions of the Dirac equation in(1+1) space-time beyond the already known class.We consider exact spin(and pseudo-spin) symmetric Dirac equations where the scalar potential is equal to plus(and minus) the vector potential.We also include pseudo-scalar potentials in the interaction.The spinor wavefunction is written as a bounded sum in a complete set of square integrable basis,which is chosen such that the matrix representation of the Dirac wave operator is tridiagonal and symmetric.This makes the matrix wave equation a symmetric three-term recursion relation for the expansion coefficients of the wavefunction.We solve the recursion relation exactly in terms of orthogonal polynomials and obtain the state functions and corresponding relativistic energy spectrum and phase shift.
基金Supported by National Natural Science Foundation of China(11675065,11875152,11905088)Fundamental Research Funds for the central universities(lzujbky-2019-11)the Supercompuer Center of HIRFL。
文摘The relativistic mean field(RMF)model has achieved great success in describing various nuclear phenomena.However,several serious defects are common.For instance,the pseudo-spin symmetry of high-l orbits is distinctly violated in general,leading to spurious shell closures N Z 58 and 92.This leads to problems in describing structure properties,including shell structures,nuclear masses,etc.Guided by the pseudo-spin symmetry restoration[Geng et al.,Phys.Rev.C,100:051301(2019)],a new RMF Lagrangian DD-LZ1 is developed by considering the density-dependent meson-nucleon coupling strengths.With the newly obtained RMF Lagrangian DD-LZ1,satisfactory descriptions can be obtained for the bulk properties of nuclear matter and finite nuclei.In particular,significant improvements on describing the single-particle spectra are achieved by DD-LZ1.In particular,the spurious shell closures Z 58 and 92,commonly found in previous RMF calculations,are eliminated by the new effective interaction DD-LZ1,and consistently the pseudo-spin symmetry(PSS)around the Fermi levels is reasonably restored for both low-l and high-l orbits.Moreover,the description of nuclear masses is also notably improved by DD-LZ1,as compared to the other RMF Lagrangians.
基金Supported by National Natural Science Foundation of China(11675065,11711540016)
文摘The restoration of pseudo-spin symmetry（PSS） along the N = 32 and N = 34 isotonic chains and the physics behind are studied by applying the relativistic Hartree-Fock theory with the effective Lagrangian PKA1. Taking the proton pseudo-spin partners(π2s1/2, π1d3/2) as candidates, the systematic restoration of PSS along both isotonic chains is found from sulphur（S） to nickel（Ni）, while an obvious PSS violation from silicon（Si） to sulphur is discovered near the drip lines. The effects of the tensor force components are investigated, introduced naturally by the Fock terms, which can only partially interpret the systematics from calcium to nickel, whereas they fail for the overall trends. Further analysis following the Schr?dinger-like equation of the lower component of Dirac spinor shows that contributions from the Hartree terms dominate the overall systematics of the PSS restoration. Such effects can be self-consistently interpreted by the evolution of the proton central density profiles along both isotonic chains. In particular, the PSS violation is found to tightly relate to the dramatic changes from the bubble-like density profiles in silicon to the central-bumped ones in sulphur.
文摘目的比较多参数三维假连续式动脉自旋标记灌注成像(3D p CASL)与动态磁敏感增强灌注成像(DSC PWI)对短暂性脑缺血发作(TIA)责任病灶的检出率。方法比较39例临床诊断TIA患者,并在首次发作24 h内进行磁共振检查。扫描序列包括常规头颅MR成像、MRA(MRA),DWI、3D p CASL(选取两个标记延迟时间post-labeling time,PLD,PLD=1.5 s及PLD=2.5 s),DSC PWI。后处理获取3D p CASL的脑血流(CBF)图像和DSC PWI的Tmax图像。比较不同灌注方法与MRA及DWI结合法对于缺血病灶检出率和缺血面积。结果 TIA患者的缺血病灶检出率,3D p CASL(PLD1.5 s及PLD2.5 s)的CBF图像与DSC PWI Tmax对比无差异;3D p CASL(PLD1.5 s)的CBF图像对于缺血的检出率高于MRA结合DWI法;DSC PWI Tmax、3D p CASL(PLD2.5 s)CBF与MRA结合DWI法无差异。显示低灌注面积,3D p CASL(PLD1.5 s)的CBF图像显示的面积最大,其次是DSC PWI Tmax,而3D p CASL(PLD2.5 s)的CBF图像显示的低灌注面积最小。结论 3D p CASL脑灌注成像技术无创、快速、可重复性强,推荐作为临床可疑TIA患者的影像筛查手段,不同PLD的3D p CASL序列对于病灶的检出及缺血面积的显示有差异,选择较短PLD有可能提高病灶的检出率。
文摘The magnetization of coupled ferromagnetic films is calculated by Green's function method. The coupling can either be ferromagnetic or antiferromagnetic. For the latter case, a concept of pseudo-spin is suggested to make calculation possible. A pseudo-spin is actually an anti-spin with its properties being analogue to other known anti particles such as a hole. The decreasing of Curie point as the coupling strength decays is computed. It is noted that with the same strength, antiferromagnetic coupling has higher Curie point than ferromagnetic coupling.
