In this study,we investigate formulas of the number of states with a given total spin I and isospin T for n nucleons in a single-j shell denoted by DIT(j,n).Talmi's recursion formulas for the number of states with...In this study,we investigate formulas of the number of states with a given total spin I and isospin T for n nucleons in a single-j shell denoted by DIT(j,n).Talmi's recursion formulas for the number of states with a given z-axis projection of total spin are generalized by further considering the isospin couplings and are applied to derive explicit formulas of DIT(j,n).展开更多
In this study,we investigate the patterns exhibited by integrated neutron-proton interactions(denoted as V_(NP))that exhibit systematic differences among particle-particle,hole-hole,hole-particle,and particle-hole cas...In this study,we investigate the patterns exhibited by integrated neutron-proton interactions(denoted as V_(NP))that exhibit systematic differences among particle-particle,hole-hole,hole-particle,and particle-hole cases.A simple formula of V_(NP)is proposed to be in approximate linearity with N_(n)N_(p).This formula yields regular patterns of V_(NP)that are highly consistent with those previously extracted according to binding energies.The observed ordering of V_(NP),i.e.,V_(NP)of the particle-particle case is the largest,V_(NP)of the hole-hole case is in-between,and V_(NP)of the particle-hole and hole-particle cases is the smallest,is explained in terms of the dominant part of V_(NP)originating from symmetry energy and refinement involving the shell correction in the mass formulas.展开更多
In this paper,we propose an approach to nucleon-pair approximation(NPA)with m-scheme bases,in which the collective nucleon pairs are represented in terms of antisymmetric matrices,and commutations between nucleon pair...In this paper,we propose an approach to nucleon-pair approximation(NPA)with m-scheme bases,in which the collective nucleon pairs are represented in terms of antisymmetric matrices,and commutations between nucleon pairs are given using a matrix multiplication that avoids angular-momentum couplings and recouplings.Therefore the present approach significantly simplifies the NPA computation.Furthermore,it is formulated on the same footing with and without isospin.展开更多
基金Supported by the National Natural Science Foundation of China(11975151,11961141003)the MOE Key Lab for Particle Physics,Astrophysics and Cosmology for financial support。
文摘In this study,we investigate formulas of the number of states with a given total spin I and isospin T for n nucleons in a single-j shell denoted by DIT(j,n).Talmi's recursion formulas for the number of states with a given z-axis projection of total spin are generalized by further considering the isospin couplings and are applied to derive explicit formulas of DIT(j,n).
基金Supported by the National Natural Science Foundation of China(11975151,11961141003)the MOE Key Lab for Particle Physics,Astrophysics and Cosmology。
文摘In this study,we investigate the patterns exhibited by integrated neutron-proton interactions(denoted as V_(NP))that exhibit systematic differences among particle-particle,hole-hole,hole-particle,and particle-hole cases.A simple formula of V_(NP)is proposed to be in approximate linearity with N_(n)N_(p).This formula yields regular patterns of V_(NP)that are highly consistent with those previously extracted according to binding energies.The observed ordering of V_(NP),i.e.,V_(NP)of the particle-particle case is the largest,V_(NP)of the hole-hole case is in-between,and V_(NP)of the particle-hole and hole-particle cases is the smallest,is explained in terms of the dominant part of V_(NP)originating from symmetry energy and refinement involving the shell correction in the mass formulas.
基金the Sichuan Science and Technology Program(2019JDRC0017)Doctoral Program of Southwest University of Science and Technology(18zx7147)+4 种基金National Natural Science Foundation of China(11705100)Youth Innovations and Talents Project of Shandong Provincial Colleges,and Universities(201909118)Higher Educational Youth Innovation Science and Technology Program Shandong Province(2020KJJ004)National Natural Science Foundation of China(11975151,11675101,11961141003)MOE Key Lab for Particle Physics,Astrophysics and Cosmology for financial support。
文摘In this paper,we propose an approach to nucleon-pair approximation(NPA)with m-scheme bases,in which the collective nucleon pairs are represented in terms of antisymmetric matrices,and commutations between nucleon pairs are given using a matrix multiplication that avoids angular-momentum couplings and recouplings.Therefore the present approach significantly simplifies the NPA computation.Furthermore,it is formulated on the same footing with and without isospin.
