Abstract

We study Cr and Ni isotopes by using Monte Carlo shell model (MCSM) cal- culations in a p fg9d5 model space. In the MCSM, a wave function is represented as a linear combination of angular-momentum- and parity-projected deformed Slater determi- nants (MCSM bases) and we can obtain eigenstates in a large model space such as p fg9d5 space. We study intrinsic shapes of nuclei by using deformations of MCSM bases before projection. We show results of MCSM calculations in Cr and Ni isotopes and a level scheme of 68 Ni and discuss the magicity of N = 40 in Cr and Ni isotopes and shape coexistence in 68 Ni.

Highlights

  • An exotic nucleus is a nucleus whose neutron number is much larger or smaller than its proton number and shows various phenomena such as the shell evolution

  • Conventional shell-model calculations are difficult in this large model space and we use the Monte Carlo shell model (MCSM) [1]

  • The high excitation energy at N = 40 in Ni isotopes suggests the magicity of N = 40

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Summary

Introduction

An exotic nucleus is a nucleus whose neutron number is much larger or smaller than its proton number and shows various phenomena such as the shell evolution. The exotic nucleus has different shell structure from that of ordinary nucleus and can show different magic numbers. We use a p f g9d5 model space, which consists of the 0 f 1p shell, 0g9/2 and 1d5/2 orbits, in order to treat magic numbers 28, 50 and a submagic number 40. Conventional shell-model calculations are difficult in this large model space and we use the Monte Carlo shell model (MCSM) [1]. We discuss the strength of the magicity of N = 40 in Cr (Z = 24) and Ni (Z = 28) isotopes and shape coexistence in a doubly magic nucleus 68Ni

Monte Carlo Shell Model
Effective Interaction
Results
Summary
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