Impact of Tensor Force onβDecay of Magic and Semimagic Nuclei

Abstract

The effect of the tensor force on β decay is studied in the framework of the proton-neutron random phase approximation with the Skyrme force. The investigation is performed for even-even semimagic and magic nuclei, (34)Si, (68,78)Ni, and (132)Sn. The tensor correlation induces strong impact on the low-lying Gamow-Teller state. In particular, it improves the β-decay half-lives. Q and ft values are also investigated and compared with experimental data.

Nuclear tensor interaction in a covariant energy density functional

“…Not only on nuclear ground states [9,26], but also in nuclear excitations [14,15,31,32] and β decay [19,36] there is a common understanding of the nonrelativistic and relativistic models, for instance, the SHF and RHF models. Both indeed share the success due to the presence of the tensor force component which is added to the Skyrme EDF, or naturally involved in the RHF one.…”

“…In recent years, substantial impacts due to the nature of the tensor force were recognized in the extensions of the nuclear chart from traditional stable nuclei to exotic ones [8][9][10][11][12][13]. Moreover, impressive progress associated with the nuclear tensor force was also achieved in describing the nuclear excitations [14][15][16][17][18] and decay modes [19]. For instance, within the Skyrme Hartree-Fock (SHF) plus random phase approximation (RPA) scheme, it was found that the tensor force components play a crucial role in understanding the Gamow-Teller (GT) transition [14], charge-exchange spin-dipole (SD) excitations [15], the non-charge-exchange multipole responses [16] and the β decay of magic and semimagic nuclei [19].…”

“…Moreover, impressive progress associated with the nuclear tensor force was also achieved in describing the nuclear excitations [14][15][16][17][18] and decay modes [19]. For instance, within the Skyrme Hartree-Fock (SHF) plus random phase approximation (RPA) scheme, it was found that the tensor force components play a crucial role in understanding the Gamow-Teller (GT) transition [14], charge-exchange spin-dipole (SD) excitations [15], the non-charge-exchange multipole responses [16] and the β decay of magic and semimagic nuclei [19]. Besides, the tensor force was also found to have substantial effects in determining the densitydependent behavior of symmetry energy [20,21], which is the key quantity in understanding the nuclear equation of state and relevant astrophysical processes [22,23].…”

Sensitivity ofβ-decay rates to the radial dependence of the nucleon effective mass

“…Making use of the finite-rank separable approximation (FRSA) [36][37][38] for the p-h interaction enables us to perform CERPA calculations in very large configuration spaces. Although it is well known that the tensor interaction influences also the description of the β − -decay half-lives [39], in the present study the tensor force is neglected in order to focus on the impact of the SPEM.…”

Self-consistent tensor effects on nuclear matter systems within a relativistic Hartree-Fock approach

“…In recent years, the nuclear tensor force was shown to play an essential role in determining the shell evolution from the stable to exotic nuclear systems, either by the nonrelativistic or relativistic calculations [8,10,[21][22][23][24][25], although some suspicions remain due to the fact that the particle-vibration couplings were not included [26]. Furthermore, the inclusion of the nuclear tensor force also had a substantial impact on the understanding of the nature of nuclear excitations and decay modes [12,14,27,28]. For the density-dependent behavior of nuclear symmetry energy-the * longwh@lzu.edu.cn key quantity to understanding the nuclear equation of state (EoS) and relevant astrophysical processes [29,30]-the tensor effects have also been revealed to be among the physics responsible for the uncertainty of the symmetry energy at supranuclear densities [17,18].…”