Systematic study of hypernuclear magnetic moments under a perturb treatment

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^pol._D is found to be approximately proportional to the coupling strength g_ωN · g_ω²Λ. Selfconsistent calculations under a perturb treatment show a semi-linear relationship as μ^pol._D ~ g_ωΛ when g_ωN is fixed.