H. F. Lu | Searcharxiv

arXiv2009

Odd-even mass difference and isospin dependent pairing interaction

The neutron and proton odd-even mass differences are studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction, which is recently derived from a microscopic nucleon-nucleon interaction. To this end, we perform HFBCS calculations for even and odd semi-magic Tin and Lead isotopes together with even and odd Z isotones with $N$= 50 and 82. The filling approximation is applied to the last unoccupied particle in odd nuclei. Comparisons with the experimental data show a clear manifestation of the isospin dependent pairing correlations in both proton and neutron pairing gaps.

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arXiv2008

Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei

The effects of core polarization and tensor coupling on the magnetic moments in $^{13}_Λ$C, $^{17}_Λ$O, and $^{41}_Λ$Ca $Λ$-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 $Λ$ tensor coupling. The $Λ$ tensor potential reduces the spin-orbit splitting of $p_Λ$ 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 $Λ$ tensor potential in the electromagnetic current vertex. The deviations of magnetic moments for $p_Λ$ states from the Schmidt values are found to increase with nuclear mass number.

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