Nuclear β-decay half-lives are predicted based on an empirical formula and the mass predictions from various nuclear models.It is found that the empirical formula can reproduce the nuclearβ-decay half-lives well,esp...Nuclear β-decay half-lives are predicted based on an empirical formula and the mass predictions from various nuclear models.It is found that the empirical formula can reproduce the nuclearβ-decay half-lives well,especially for short-lived nuclei with T_(1/2)<1s.The theoretical half-life uncertainties fromβ-decay energies and the parameters of the empirical formula are further investigated.It is found that the uncertainties of the half-lives are relatively large for heavy nuclei and nuclei near the neutron-drip line.For nuclei on the r-process path,the uncertainties for those with N=126 are about one order of magnitude,which are much larger than the uncertainties for those with N=50 and 82.However,theoretical uncertainties from the parameters of the empirical formula are relatively small for the nuclei on the r-process path,which indicates that the empirical formula is very suitable for predicting theβ-decay half-lives in r-process simulations.展开更多
The radial basis function(RBF) approach is a powerful tool to improve nuclear mass predictions. By combining the RBF approach with the latest relativistic continuum Hartree-Bogoliubov(RCHB) model, the local systematic...The radial basis function(RBF) approach is a powerful tool to improve nuclear mass predictions. By combining the RBF approach with the latest relativistic continuum Hartree-Bogoliubov(RCHB) model, the local systematic deviations between the RCHB mass predictions and the experimental data are eliminated, and the root-meansquare(rms) mass deviation is significantly reduced from 7.923 MeV to 0.386 MeV. However, systematic deviations between the RBF improved mass predictions and the experimental data remain for nuclei with four different odd-even parities, i.e.(even Z, even N),(even Z, odd N),(odd Z, even N), and(odd Z, odd N). They can be reduced by separately training RBF for the four groups of nuclei, and the resulting rms deviation decreases to 0.229 MeV. It is found that the RBF approach can describe the deformation effects neglected in the present RCHB mass calculations, and also improves the description of the shell effect and the pairing effect.展开更多
In the framework of the relativistic mean field theory combined with the complex momentum representation method,we elucidate the pseudospin symmetry in the single-neutron resonant states and its dependence on the σ,...In the framework of the relativistic mean field theory combined with the complex momentum representation method,we elucidate the pseudospin symmetry in the single-neutron resonant states and its dependence on the σ,ω,and ρ meson fields.Compared with the effect of theρfield,the τandωfields provide the main contributions to the pseudospin energy and width splitting of the resonant pseudospin doublets.Especially,we compare quantitatively the pseudospin wave functions's plittings in resonant doublets,and investigate their dependencies on different fields of mesons,which is consistent with that of energy and width splittings.Current research is helpful to understand the mechanism and properties of pseudospin symmetry for resonant states.展开更多
We extend the complex scaled Green＇s function （CGF） method to describe resonances with triaxial deformation and present a theoretical formalism. Taking 43S as an example, we elaborate numerical details and demonstr...We extend the complex scaled Green＇s function （CGF） method to describe resonances with triaxial deformation and present a theoretical formalism. Taking 43S as an example, we elaborate numerical details and demonstrate how to determine the resonance parameters. With changes in the deformation parameters, we study the influence of the triaxial deformation parameter γ on single-particle levels. In particular, the present scheme focuses on the advantages of the complex scaling method （CSM） and the Green＇s function method, and is suitable for the exploration of resonances.展开更多
基金Partly supported by the National Natural Science Foundation of China under(11805004,11875070)the Key Research Foundation of Education Ministry of Anhui Province(KJ2020A0485)the Open fund for Discipline Construction,Institute of Physical Science and Information Technology,Anhui University.
文摘Nuclear β-decay half-lives are predicted based on an empirical formula and the mass predictions from various nuclear models.It is found that the empirical formula can reproduce the nuclearβ-decay half-lives well,especially for short-lived nuclei with T_(1/2)<1s.The theoretical half-life uncertainties fromβ-decay energies and the parameters of the empirical formula are further investigated.It is found that the uncertainties of the half-lives are relatively large for heavy nuclei and nuclei near the neutron-drip line.For nuclei on the r-process path,the uncertainties for those with N=126 are about one order of magnitude,which are much larger than the uncertainties for those with N=50 and 82.However,theoretical uncertainties from the parameters of the empirical formula are relatively small for the nuclei on the r-process path,which indicates that the empirical formula is very suitable for predicting theβ-decay half-lives in r-process simulations.
基金Supported by the National Natural Science Foundation of China(11805004,11875070 and 11711540016)the Natural Science Foundation of Anhui Province(1708085QA10)+2 种基金the Key Research Foundation of Education Ministry of Anhui Province(KJ2016A026 and SK2018A0577)the Doctor Foundation of Anhui Jianzhu University 2017(2017QD18)the Open fund for Discipline Construction,Institute of Physical Science and Information Technology,Anhui University
文摘The radial basis function(RBF) approach is a powerful tool to improve nuclear mass predictions. By combining the RBF approach with the latest relativistic continuum Hartree-Bogoliubov(RCHB) model, the local systematic deviations between the RCHB mass predictions and the experimental data are eliminated, and the root-meansquare(rms) mass deviation is significantly reduced from 7.923 MeV to 0.386 MeV. However, systematic deviations between the RBF improved mass predictions and the experimental data remain for nuclei with four different odd-even parities, i.e.(even Z, even N),(even Z, odd N),(odd Z, even N), and(odd Z, odd N). They can be reduced by separately training RBF for the four groups of nuclei, and the resulting rms deviation decreases to 0.229 MeV. It is found that the RBF approach can describe the deformation effects neglected in the present RCHB mass calculations, and also improves the description of the shell effect and the pairing effect.
基金Supported by the National Natural Science Foundation of China(11935001,11805004)the Key Research Foundation of Education Ministry of Anhui Province(KJ2018A0028)+1 种基金the Natural Science Foundation of Anhui Province(2008085MA26)Heavy Ion Research Facility in Lanzhou(HIRFL)。
文摘In the framework of the relativistic mean field theory combined with the complex momentum representation method,we elucidate the pseudospin symmetry in the single-neutron resonant states and its dependence on the σ,ω,and ρ meson fields.Compared with the effect of theρfield,the τandωfields provide the main contributions to the pseudospin energy and width splitting of the resonant pseudospin doublets.Especially,we compare quantitatively the pseudospin wave functions's plittings in resonant doublets,and investigate their dependencies on different fields of mesons,which is consistent with that of energy and width splittings.Current research is helpful to understand the mechanism and properties of pseudospin symmetry for resonant states.
基金Supported by the International Science&Technology Cooperation Program of China(2016YFE0129300)the National Natural Science Foundation of China(11575082,11535004,11235001,11761161001,11375086,11120101005)+1 种基金the Doctor Foundation of Anhui Jianzhu University 2017(2017QD18)the Science and Technology Development Fund of Macao(008/2017/AFJ)
文摘We extend the complex scaled Green＇s function （CGF） method to describe resonances with triaxial deformation and present a theoretical formalism. Taking 43S as an example, we elaborate numerical details and demonstrate how to determine the resonance parameters. With changes in the deformation parameters, we study the influence of the triaxial deformation parameter γ on single-particle levels. In particular, the present scheme focuses on the advantages of the complex scaling method （CSM） and the Green＇s function method, and is suitable for the exploration of resonances.
