Nuclear properties of Z = 114 isotopes and shell structure of ²⁹⁸114

Abstract

The two-neutron separation energies (S2n) and α-decay energies (Qα) of the Z = 114 isotopes are calculated by the deformed Skyrme–Hartree–Fock–Bogoliubov (SHFB) approach with the SLy5, T22, T32 and T43 interactions. It is found that the tensor force effect on the bulk properties is weak and the shell closure at N = 184 is seen evidently with these interactions by analyzing the S2n and Qα evolutions with neutron number N . Meanwhile, the single-particle energy spectra of 298114 are studied using the spherical SHFB approach with these interactions to furthermore examine the shell structure of the magic nucleus 298114. It is shown that the shell structure is almost not changed by the inclusion of the tensor force in the Skyrme interactions. Finally, by examining the energy splitting of the three pairs of pseudospin partners for the protons and neutrons of 298114, it is concluded that the pseudospin symmetry of the neutron states is preserved better than that of the proton states and not all of the pseudospin symmetries of the proton and neutron states are influenced by the tensor force.

Two-proton radioactivity of ground and excited states within a unified fission model *

“…( 2) and the l values are shown in columns 3 and 4 of Table 2, respectively. Note that the l values are determined by the spinparity selection rule, and the spin and parity values of the initial and final states are taken from the NUBASE2020 table [95]. The predicted radioactive half-lives within the UFM are shown in column 5 of Table 2.…”

“…Thus, these models share the same mechanism which leads to similar half-lives. Since the mechanism of radioactivity is similar to that of -decay [96][97][98][99][100], the cluster-like or fission-like models that can describe -decay can reproduce the experimental half-lives of radioactivity. Recently, an extended constraint criterion on the half-life, -12< <2 s, was proposed to identify the most probable decay candidates [89] for future 2p experiments, based on the work of Olsen et al [62].…”

An improved semi-empirical relationship for cluster radioactivity *

“…( 16). Regarding the unknown nuclear masses, their values were calculated from the empirical masses of the NU-BASE2016 table [56] or the WS4 mass table [85] be- cause relevant studies showed that the WS4 mass model can predict the experimental nuclear masses and decay energies accurately [85][86][87][88]. We hope these predicted half-lives will be useful for identifying new cluster emissions of the trans-tin region in future measurements.…”

Two-proton radioactivity of exotic nuclei beyond proton drip-line

“…With the construction of a new generation of radioactive beam facilities and the development of the new detection technology, study on the exotic decay properties of unstable nuclei has been a hot subject in nuclear physics [1][2][3][4][5][6][7][8][9]. Nowadays, the proton radioactivity has been recognized as one of the exotic decay modes and paid attention by many researchers [4][5][6][7].…”