Strength of pairing interaction for hyperons in multistrangeness hypernuclei

Abstract

Pairing correlations play a very important role in atomic nuclei. Although several effective pairing interactions have been used in mean field calculations for nucleons, little is known about effective pairing interactions for hyperons. Based on the quark model, we propose a relationship between effective pairing interactions for hyperons and for nucleons; e.g., for $\Lambda$s, the strength of the pairing interaction is 4/9 of that for nucleons. A separable pairing force of finite range which has been widely applied to describing pairing correlations in normal nuclei is used to investigate pairing effects in multi-$\Lambda$ Ca, Sn and Pb hypernuclei.

arXiv comment17 pages, 3 figures; Phys. Lett. B, in press

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• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Density-dependent relativistic mean field approach and its application to single-$\Lambda$ hypernuclei in Oxygen isotopes
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• Implication of odd-even staggering in the charge radii of calcium isotopes