Quantum-number projected generator coordinate method for ${}^{21}$Ne with a chiral two-nucleon-plus-three-nucleon interaction

Abstract

We report a study of the low-lying states of deformed ${}^{21}$Ne within the framework of quantum-number projected generator coordinate method (PGCM), starting from a chiral two-nucleon-plus-three-nucleon (NN+3N) interaction. The wave functions of states are constructed as a linear combination of a set of axially-deformed Hartree-Fock-Bogliubov (HFB) wave functions with different quadrupole deformations. These HFB wave functions are projected onto different angular momenta and the correct neutron and proton numbers for ${}^{21}$Ne. The results of calculations based on the effective Hamiltonians derived by normal-ordering the 3N interaction with respect to three different reference states, including the quantum-number projected HFB wave functions for ${}^{20}$Ne, ${}^{22}$Ne, and an ensemble of them with equal weights, are compared. This study serves as a key step towards ab initio calculations of odd-mass deformed nuclei with the in-medium GCM.

22page, 8 figures, an invited contribution to the special issue of Symmetry journal: "Restoration of Broken Symmetries in the Nuclear Many-Body Problem", edited by Prof. Javid Sheikh and Prof. Peter Ring

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Cited by in corpus (4)

• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
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• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach
• Effective field theories for collective excitations of atomic nuclei