Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei

TL;DR

This study investigates how core polarization and tensor coupling influence magnetic moments in hypernuclei, revealing that tensor coupling suppresses core polarization effects and significantly reduces spin-orbit splitting.

Contribution

It provides a detailed analysis of tensor coupling effects on magnetic moments and spin-orbit splitting in hypernuclei using the Dirac equation framework.

Findings

Tensor coupling suppresses core polarization effects.

Tensor potential reduces spin-orbit splitting of pΛ states.

Magnetic moments deviate from Schmidt values more with increasing nuclear mass.

Abstract

The effects of core polarization and tensor coupling on the magnetic moments in $^{13}_\Lambda$C, $^{17}_\Lambda$O, and $^{41}_\Lambda$Ca $\Lambda$-hypernuclei are studied in the Dirac equation with scalar, vector and tensor potentials. It is found that the effect of core polarization on the magnetic moments is suppressed by $\Lambda$ tensor coupling. The $\Lambda$ tensor potential reduces the spin-orbit splitting of $p_\Lambda$ states considerably. However, almost the same magnetic moments are obtained using the hyperon wave function obtained via the Dirac equation either with or without the $\Lambda$ tensor potential in the electromagnetic current vertex. The deviations of magnetic moments for $p_\Lambda$ states from the Schmidt values are found to increase with nuclear mass number.