Influence of different fields of mesons on the pseudospin symmetry in single-neutron resonant states *

Abstract

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 , , and meson fields. Compared with the effect of the field, the and fields provide the main contributions to the pseudospin energy and width splitting of the resonant pseudospin doublets. Especially, we compare quantitatively the pseudospin wave functions' splittings 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.

Pseudo-Spin Symmetry and the Hints for Unstable and Superheavy Nuclei

“…Furthermore, the continuum effects are taken into account automatically, which promises extensive reliability in the description of novel phenomena in unstable nuclei, such as the novel halo phenomena observed in both spherical and deformed nuclei [64][65][66][67][68]. The relativistic scheme has facilitated numerous investigations into the origin of the PSS [44,46,69], the relationship between PSS and spin-orbit effects [70], the PSS's dynamical properties [71][72][73] and non-perturbative nature [74][75][76], the PSS in deformed nuclei [77][78][79][80][81][82][83], the PSS in hypernuclei [84,85], and the resonant states [83,[86][87][88][89][90][91][92][93][94][95][96], etc.…”

Exploration of origin and breaking mechanism of pseudospin symmetry in relativistic point-coupling model with similarity renormalization group

“…Based on the RMF theory, the relativistic origin of PSS is recognized in [15] and the quality of PSS is shown to depend on the competition between the pseudo centrifugal barrier and the pseudo spin-orbital potential [16,58]. The dependencies of PSS on the strengths of meson (photon) fields are explored in [59,60]. The influence of the Fock term on PSS is checked in the densitydependent relativistic Hartree-Fock theory and relativistic Hartree-Fock-Bogoliubov theory [22,61].…”