Eur. Phys. J. A (2013) 49: 101
https://doi.org/10.1140/epja/i2013-13101-1

Regular Article - Theoretical Physics

Systematic study of hypernuclear magnetic moments under a perturb treatment

¹ College of Science, China Agriculture University, 100083, Beijing, China
² School of Physical Science and Technology, Southwest University, Chongqing, 400715, China
³ Center for Mathematical Sciences, University of Aizu, Ikki-machi, Aizu-Wakamatsu, Fukushima, 965-8580, Japan

^* e-mail: hongfeng@cau.edu.cn

Received: 25 March 2013
Revised: 26 June 2013
Accepted: 15 July 2013
Published online: 6 August 2013

Abstract

Hypernuclei ranged from light to heavy mass are systematically investigated using a relativistic mean-field (RMF) model with a novel proposed ωΛΛ tensor coupling interaction PK1-Y1. The tensor coupling effect on core polarization, and the orbital contribution to hyperon current are discussed. Contributions to the magnetic moment from pΛ and n ⁻¹ Λ systems are found to be opposite. An expression of the magnetic moment under perturb treatment is improved with an ωΛΛ tensor coupling and the core-polarized magnetic moment μ _D ^pol. is found to be approximately proportional to the coupling strength g _ωN · g _ωλ ² . Self-consistent calculations under a perturb treatment show a semi-linear relationship as μ _D ^pol. ∼ g _ωλ when g _ωN is fixed.