Ab initio no-core shell model study of neutron-rich ${}^{18,19,20}$C isotopes

Abstract

We implement the ab initio no-core shell model approach to study neutron-rich ${}^{18}$C, ${}^{19}$C and ${}^{20}$C isotopes. For this purpose, we employ charge-dependent Bonn 2000 (CDB2K), inside non-local outside Yukawa (INOY) and chiral next-to-next-to-next-to-leading order (N${}^3$LO) nucleon-nucleon interactions. Low-lying energy spectra, electromagnetic properties and point-proton radii for these nuclei up to basis space $N_{\max }$ = 4 are calculated. Binding energies obtained with INOY interaction are in better agreement with the experimental values as compared to other \textit{ab initio} interactions. We also show the behavior of ground state energy and point-proton radii with the NCSM parameters, $\hslash$$\Omega$ and $N_{\max }$. We report a strong sensitivity of the B(E2) values from the first excited $2^{+}$ to the ground state of ${}^{18}$C and ${}^{20}$C to the nuclear interaction. Shell model calculations with YSOX interaction are also performed, and corresponding results are compared with ab initio one.

Nuclear Physics A 1029, 122565 (2023)

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Cited by in corpus (1)

• Study of S, Cl and Ar isotopes with $N\ge Z$ using microscopic effective $sd$-shell interactions