Description for N = 126 Isotones 210Po and 212Rn with Particle-Hole Excited Nucleon-Pair Approximation and Realistic Effective Interaction

Yi-Xing Wang,Yi-Yuan Cheng,Thomas T S Kuo

doi:10.3390/sym14010181

Yi-Xing Wang, Yi-Yuan Cheng + Show 1 more

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https://doi.org/10.3390/sym14010181

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Journal: Symmetry	Publication Date: Jan 17, 2022
License type: CC BY 4.0

Affiliation: East China Normal University

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In this paper, we study yrast states of two N=126 isotones 210Po and 212Rn using the nucleon-pair approximation with particle–hole excitations and using a low-momentum interaction Vlow–k renormalized from the free CD-Bonn NN potential. An overall good agreement with experimental level structures, B(E2)s, and B(E3)s, is achieved. We also calculate the probabilities of neutron particle–hole excitations in these yrast states, with a focus on negative-parity states, which reflect the roles played by the neutron negative-parity configurations of one-particle-one-hole excitations across the N=126 shell gap and the negative-parity configurations of valence proton particles involving the 0i13/2 orbit. The N=126 shell gap is discussed in terms of energies of neutron one-particle-one-hole excitations.

Highlights

N = 126 isotones have been of great importance and interest in both experimental and theoretical studies
We focus on the negative-parity states and study the roles played by the negative-parity configurations of valence protons involving the 0i13/2 orbit and the neutron negative-parity configurations of one-particle-one-hole excitations across the N = 126 shell gap
As we consider neutron particle–hole excitations across the N = 126 shell gap in this work, the shell-model effective Hamiltonian is for valence particles outside the

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Introduction

In References [11,12], a realistic effective interaction for the 208 Pb region was derived from the Bonn-A NN potential [20] using the Brueckner G-matrix method followed by the Q-box folded-diagram method [21,22], together with which the shell-model calculation provided a good description for the low-lying states of 206,205,204 Pb and N = 126 isotones 210 Po, 211 At, 212 Rn. In. The nucleon-pair approximation (NPA) [28,29] is a pair-truncation scheme of the shell model based on the technique of calculating the commutators between coupled fermion clusters [30,31] Such a pair-truncation scheme with optimized pair structures is shown to be able to give a good description to low-lying states of semi-magic nuclei, transitional nuclei, and well-deformed nuclei; see, e.g., References [32,33,34,35,36,37,38,39,40,41,42,43,44].

Pair Configuration Space of Particle–Hole Excitations

Shell-Model Hamiltonian with the Effective Interaction

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