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A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , J. P. Draayer

We introduce the extension of the ab initio no-core shell model with continuum to describe three-body cluster systems. We present results for the ground state of 6He and show improvements with respect to the description obtained within the…

Nuclear Theory · Physics 2016-04-20 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navrátil , Guillaume Hupin

The rich phenomenology of quantum many-body systems such as atomic nuclei is complex to interpret. Often, the behaviour (e.g. evolution with the number of constituents) of measurable/observable quantities such as binding or excitation…

Nuclear Theory · Physics 2024-04-30 Vittorio Somà , Thomas Duguet

The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interactions…

Nuclear Theory · Physics 2017-11-29 Y. Jaganathen , R. M. Id Betan , N. Michel , W. Nazarewicz , M. Ploszajczak

Gamow shell model (GSM) is usually performed within the Woods-Saxon (WS) basis in which the WS parameters need to be determined by fitting experimental single-particle energies including their resonance widths. In the multi-shell case, such…

Nuclear Theory · Physics 2020-01-16 B. S. Hu , Q. Wu , J. G. Li , Y. Z. Ma , Z. H. Sun , N. Michel , F. R. Xu

We apply an {\it ab-initio} approach to the nuclear structure of odd-mass nuclei straddling $^{48}Ca$. Starting with the NN interaction, that fits two-body scattering and bound state data we evaluate the nuclear properties of $A = 47$ and…

Nuclear Theory · Physics 2007-05-23 J. P. Vary , A. G. Negoita , S. Stoica

We report the first no-core shell model results for $^{48}Ca$, $^{48}Sc$ and $^{48}Ti$ with derived and modified two-body Hamiltonians. We use an oscillator basis with a limited $\hbar\Omega$ range around $45/A^{1/3}-25/A^{2/3} = 10.5 MeV$…

Nuclear Theory · Physics 2009-07-24 J. P. Vary , S. Popescu , S. Stoica , P. Navratil

The effect of the two-nucleon excitation from $p$ to $sd$ shell is discussed in $^{12}$C and $^{14}$C in the frame work of shell model. The recently suggested shell-model Hamiltonian YSOX provides an suitable tool to investigate the…

Nuclear Theory · Physics 2016-02-02 Cenxi Yuan , Min Zhang , Nianwu Lan , Youjun Fang

A simple approximation to shell model is proposed in which the low energy excitation spectra corresponds to the identical nucleons occupying the same single particle states where they preferred to form pairs for the ground states. We call…

Nuclear Theory · Physics 2008-10-08 S. Haq , Y. Sadeq , I. M. Hamammu

We merge two successful ab initio nuclear-structure methods, the no-core shell model (NCSM) and the multi-reference in-medium similarity renormalization group (IM-SRG) to define a new many-body approach for the comprehensive description of…

Nuclear Theory · Physics 2017-04-20 Eskendr Gebrerufael , Klaus Vobig , Heiko Hergert , Robert Roth

In the present paper, we have calculated the energy spectra for neutron rich $^{18-22}$N isotopes using no core shell model (NCSM).To calculate the energy spectrum we have used three different $NN$ potentials, inside non-local outside…

Nuclear Theory · Physics 2019-08-06 Archana Saxena , Praveen C. Srivastava

We have adopted the multistep shell model in the complex energy plane to study nuclear excitations occurring in the continuum part of the spectrum. In this method one proceeds by solving the shell model equations in a successive manner.…

Nuclear Theory · Physics 2012-03-09 Z. X. Xu , C. Qi , R. J. Liotta , R. Wyss

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

The complex scaling method is commonly used to describe decaying states, but its applications are limited because the Hamiltonian operator must contain only relative coordinates. This has hindered the use of complex scaling in models…

Nuclear Theory · Physics 2026-01-22 A. T. Kruppa , N. Michel , Xin-le Shang , Wei Zuo

We develop a shell-model Monte Carlo (SMMC) method to calculate densities of states with varying exciton (particle-hole) number. We then apply this method to the doubly closed-shell nucleus 40Ca in a full 0s-1d-0f-1p shell-model space and…

Nuclear Theory · Physics 2009-10-31 D. J. Dean , S. E. Koonin

The present work discusses, from an ab-initio standpoint, the definition, the meaning, and the usefulness of effective single-particle energies (ESPEs) in doubly closed shell nuclei. We perform coupled-cluster calculations to quantify to…

Nuclear Theory · Physics 2015-05-30 T. Duguet , G. Hagen

We report \textit{ab initio} no-core shell model (NCSM) study of $^{18-24}$Ne isotopes for energy spectra, electromagnetic properties, and point-proton radii using three realistic $NN$ interactions. We have used inside nonlocal outside…

Nuclear Theory · Physics 2023-02-08 Chandan Sarma , Praveen C. Srivastava

This contribution reviews a number of applications of the ab initio no-core shell model (NCSM) within nuclear physics and beyond. We will highlight a nuclear-structure study of the A = 12 isobar using a chiral NN + 3NF interaction. In the…

Nuclear Theory · Physics 2009-05-04 C. Forssen , J. Christensson , P. Navratil , S. Quaglioni , S. Reimann , J. Vary , S. Aberg

We have performed shell-model calculations for nuclei with proton particles and neutron holes around 132Sn using a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential. For the proton-neutron channel this is…

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

The spherical Hartree-Fock approximation is applied to the $abinitio$ no-core shell model, with a realistic effective nucleon-nucleon interaction in order to investigate the range of its utility. Hartree-Fock results for binding energies,…

Nuclear Theory · Physics 2009-11-10 M. A. Hasan , J. P. Vary , P. Navratil