Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei

Abstract

The effects of core polarization and tensor coupling on the magnetic moments in ${}_{\Lambda }^{13}$C, ${}_{\Lambda }^{17}$O, and ${}_{\Lambda }^{41}$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.

10 pages, 2 figures, 2 tables

References in corpus (5)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Density-Dependent Relativistic Hartree-Fock Approach
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Exchange Currents for Hypernuclear Magnetic Moments

Cited by in corpus (8)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Description of single-Lambda hypernuclei with relativistic point coupling model
• Spin Symmetry for Anti-Lambda Spectrum in atomic nucleus
• Triaxially deformed relativistic point-coupling model for $\Lambda$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
• Lambda and Anti-Lambda Hypernuclei in Relativistic Mean-field Theory
• Tensor coupling effects on spin symmetry in anti-Lambda spectrum of hypernuclei
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Structure of hypernuclei in relativistic approaches