The tensor-force effects on the evolution of spin-orbit spittings in neutron drops are investigated within the framework of the relativistic Hartree-Fock theory.For a fair comparison on the pure mean-field level,the r...The tensor-force effects on the evolution of spin-orbit spittings in neutron drops are investigated within the framework of the relativistic Hartree-Fock theory.For a fair comparison on the pure mean-field level,the results of the relativistic Brueckner-Hartree-Fock calculation with the Bonn A interaction are adopted as meta-data.Through a quantitative analysis,we certify that theπ-pscudovector(π-PV)coupling affects the evolutionary trend through the embedded tensor force.The strength of the tensor force is explored by enlarging the strength fr of theπ-PV coupling.It is found that weakening the density dependence of fn is slightly better than enlarging it with a factor.We thus provide a semiquantitative support for the renormalization persistency of the tensor force within the frame-work of density functional theory.This will serve as important guidance for further development of relativistic effective interactions with particular focus on the tensor force.展开更多
In this work, the effects of the pairing correlation on the properties of neutron drops N=6-50 trapped in a harmonic oscillator potential with ω = 10 Me V are investigated by comparing the results given by the Skyrme...In this work, the effects of the pairing correlation on the properties of neutron drops N=6-50 trapped in a harmonic oscillator potential with ω = 10 Me V are investigated by comparing the results given by the Skyrme Hartree-Fock and Hartree-FockBogoliubov theories with the density-dependent delta interaction(DDDI) pairing force. The results showed that the pairing correlation slightly made the neutron drops more bound, and increased the central neutron density, the spin-orbit and pseudo spin-orbit splittings. Thus, the pairing correlation must be accounted for to improve the Skyrme functional compared with the ab initio calculations. Furthermore, although the single-particle energy gaps with or without pairing were similar, the shell closures varied due to pair scattering. Here, the shell closures in neutron drops using the Sk M* parameter set and DDDI pairing force were found at N=8, 16, and 32.展开更多
基金Supported by National Natural Science Foundation of China(11905088,11675065,12075104)the Strategic Priority Research Program of Chinese Academy of Sciences(XDB34000000)+2 种基金JSPS Grant-in-Aid for Early-Career Scientists(18K13549)JSPS Grant-in-Aid for JSPS Fellows(19J20543)JSPS Grant-in-Aid for Scientific Research(S)(20H05648)。
文摘The tensor-force effects on the evolution of spin-orbit spittings in neutron drops are investigated within the framework of the relativistic Hartree-Fock theory.For a fair comparison on the pure mean-field level,the results of the relativistic Brueckner-Hartree-Fock calculation with the Bonn A interaction are adopted as meta-data.Through a quantitative analysis,we certify that theπ-pscudovector(π-PV)coupling affects the evolutionary trend through the embedded tensor force.The strength of the tensor force is explored by enlarging the strength fr of theπ-PV coupling.It is found that weakening the density dependence of fn is slightly better than enlarging it with a factor.We thus provide a semiquantitative support for the renormalization persistency of the tensor force within the frame-work of density functional theory.This will serve as important guidance for further development of relativistic effective interactions with particular focus on the tensor force.
基金the National Natural Science Foundation of China(Grant Nos.11405116,and 11775119).
文摘In this work, the effects of the pairing correlation on the properties of neutron drops N=6-50 trapped in a harmonic oscillator potential with ω = 10 Me V are investigated by comparing the results given by the Skyrme Hartree-Fock and Hartree-FockBogoliubov theories with the density-dependent delta interaction(DDDI) pairing force. The results showed that the pairing correlation slightly made the neutron drops more bound, and increased the central neutron density, the spin-orbit and pseudo spin-orbit splittings. Thus, the pairing correlation must be accounted for to improve the Skyrme functional compared with the ab initio calculations. Furthermore, although the single-particle energy gaps with or without pairing were similar, the shell closures varied due to pair scattering. Here, the shell closures in neutron drops using the Sk M* parameter set and DDDI pairing force were found at N=8, 16, and 32.