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We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in $^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference…

Nuclear Theory · Physics 2021-12-16 Z. H. Sun , G. Hagen , G. R. Jansen , T. Papenbrock

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction is derived from the free nucleon-nucleon potential. The significant progress made in this field…

Nuclear Theory · Physics 2008-12-18 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

Background: Effective interactions, either derived from microscopic theories or based on fitting selected properties of nuclei in specific mass regions, are widely used inputs to shell-model studies of nuclei. Until recently, most…

Nuclear Theory · Physics 2015-06-17 Naofumi Tsunoda , Kazuo Takayanagi , Morten Hjorth-Jensen , Takaharu Otsuka

In the present work, we have reported comprehensive study of the $sd$-shell nuclei Si and P with neutron number varying from $N = 9$ to $N = 20$ using the microscopic effective valence shell interactions, namely, N3LO, JISP16 and DJ16A.…

Nuclear Theory · Physics 2023-04-05 Priyanka Choudhary , Praveen C. Srivastava

We perform \textit{ab initio} no-core shell-model calculations for $A=18$ and $19$ nuclei in a $4\hbar\Omega$, or $N_{\rm max}=4$, model space by using the effective JISP16 and chiral N3LO nucleon-nucleon potentials and transform the…

Nuclear Theory · Physics 2015-06-09 E. Dikmen , A. F. Lisetskiy , B. R. Barrett , P. Maris , A. M. Shirokov , J. P. Vary

Shell-model calculations for several mass 16-19 nuclei are performed using the N$^3$LO two-nucleon potential $V_{2N}$ with and without the addition of an in-medium three-nucleon potential $V_{3N}^{med}$, which is a density-dependent…

Nuclear Theory · Physics 2011-05-24 Huan Dong , T. T. S. Kuo , J. W. Holt

The neutron rich isotopes with Z<20, in particular those with neutron numbers around N=28,have been at the focus of a lot experimental and theoretical scrutiny during the last few years.Shell model calculations using the effective…

Nuclear Theory · Physics 2009-02-18 F. Nowacki , A. Poves

We present a quantitative study of the role played by different components characterizing the nucleon-nucleon interaction in the evolution of the nuclear shell structure. It is based on the spin-tensor decomposition of an effective two-body…

Nuclear Theory · Physics 2015-05-18 N. A. Smirnova , B. Bally , K. Heyde , F. Nowacki , K. Sieja

The present paper is comprised of two parts. First, we give a brief survey of the theoretical framework for microscopic nuclear structure calculations starting from a free nucleon-nucleon potential. Then, we present some selected results of…

Nuclear Theory · Physics 2007-05-23 A. Covello , L. Coraggio , A. Gargano , N. Itaco

We have performed realistic shell-model calculations for nuclei around doubly magic 100Sn and 132Sn using an effective interaction derived from the Bonn A nucleon-nucleon potential. The results are in remarkably good agreement with the…

Nuclear Theory · Physics 2022-03-02 A. Covello , L. Coraggio , A. Gargano

The nuclear shell model has been perhaps the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been predominantly used in a phenomenological context,…

Nuclear Theory · Physics 2019-10-25 S. Ragnar Stroberg , Scott K. Bogner , Heiko Hergert , Jason D. Holt

This paper starts with a brief historical overview of pairing in nuclei, which fulfills the purpose of properly framing the main subject. This concerns the pairing properties of a realistic shell-model effective interaction which has proved…

Nuclear Theory · Physics 2017-08-23 A. Covello , A. Gargano , T. T. S Kuo

Large-scale shell-model calculations have been performed for the study of two neutrino double-beta ($2\nu\beta\beta$) decay in $^{82}$Se, $^{94}$Zr, $^{108}$Cd, $^{124}$Sn, $^{128}$Te, $^{130}$Te, $^{136}$Xe, and $^{150}$Nd. We have…

Nuclear Theory · Physics 2023-12-07 Deepak Patel , Praveen C. Srivastava , V. K. B. Kota , R. Sahu

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

In this paper, we present some results of shell-model calculations employing effective interactions derived from the CD-Bonn free nucleon-nucleon potential. These concern 18O, 134Te, and 210Po, and are part of a comprehensive study of…

Nuclear Theory · Physics 2009-11-07 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We present an approach to derive effective shell-model interactions from microscopic nuclear forces. The similarity-transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with…

Nuclear Theory · Physics 2018-12-05 Z. H. Sun , T. D. Morris , G. Hagen , G. R. Jansen , T. Papenbrock

The microscopic structure of neutron-rich sd-shell nuclei is investigated by using the spherical shell-model in the sd-pf valence space with the extended pairing plus quadrupole-quadrupole forces accompanied by the monopole interaction…

Nuclear Theory · Physics 2015-03-17 Kazunari Kaneko , Yang Sun , Takahiro Mizusaki , Munetake Hasegawa

Odd-odd nuclei around double shell closures are a direct source of information on the proton-neutron interaction between valence nucleons. We have performed shell-model calculations for doubly odd nuclei close to $^{208}$Pb, $^{132}$Sn and…

Nuclear Theory · Physics 2009-11-10 A. Covello , L. Coraggio , A. Gargano , N. Itaco

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual…

Nuclear Theory · Physics 2018-11-13 Lukas Huth , Victoria Durant , Johannes Simonis , Achim Schwenk

In this work we present $ab~initio$ shell-model calculations for electric quadrupole moments and magnetic dipole moments of $sd$ shell nuclei using valence-space Hamiltonians derived with two $ab~initio$ approaches: the in-medium similarity…

Nuclear Theory · Physics 2017-08-30 Archana Saxena , Praveen C. Srivastava
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