Regularities in low-lying states of atomic nuclei with random interactions

G. J. Fu, J. J. Shen, Y. M. Zhao, and A. Arima

Phys. Rev. C 91, 054319 – Published 19 May 2015

Abstract

In this paper we study low-lying states of atomic nuclei with random interactions, within the framework of the nuclear shell model. The distributions of $R_{6}$ versus $R_{4}$ (where $R_{I} \equiv E_{I_{1}^{+}} / E_{2_{1}^{+}}$ ), empirical proton-neutron interaction, and charge radius are investigated by using a two-body random ensemble. The Mallmann plot exhibits statistical correlations between $R_{6}$ and $R_{4}$ . The proton-neutron interaction between the last proton and the last neutron in even- $A$ nuclei is found to be stronger than that in odd- $A$ nuclei, and that in $N = Z$ nuclei is even stronger. Simple relations of nuclear charge radii for neighboring nuclei are found to survive remarkably for the random ensemble.

Received 15 January 2015
Revised 6 April 2015

DOI:https://doi.org/10.1103/PhysRevC.91.054319

Authors & Affiliations

G. J. Fu¹, J. J. Shen², Y. M. Zhao^1,3,*, and A. Arima^1,4

¹INPAC, Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
²Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
³IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
⁴Musashi Gakuen, 1-26-1 Toyotama-kami Nerima-ku, Tokyo 176-8534, Japan

^*Corresponding author: ymzhao@sjtu.edu.cn

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Vol. 91, Iss. 5 — May 2015

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Physical Review C

covering nuclear physics