Localized $N,\Lambda ,\Sigma$, and $\Xi$ Single-Particle Potentials in Finite Nuclei Calculated with $S{U}_6$ Quark-Model Baryon-Baryon Interactions

Abstract

Localized single-particle potentials for all octet baryons, $N$, $\Lambda$, $\Sigma$, and $\Xi$, in finite nuclei, ${}^{12}$C, ${}^{16}$O, ${}^{28}$Si, ${}^{40}$Ca, ${}^{56}$Fe, and ${}^{90}$Zr, are calculated using the quark-model baryon-baryon interactions. $G$-matrices evaluated in symmetric nuclear matter in the lowest order Brueckner theory are applied to finite nuclei in local density approximation. Non-local potentials are localized by a zero-momentum Wigner transformation. Empirical single-particle properties of the nucleon and the $\Lambda$ hyperon in nuclear medium have been known to be explained semi-quantitatively in the LOBT framework. Attention is focused in the present consideration on predictions for the $\Sigma$ and $\Xi$ hyperons. The unified description for the octet baryon-baryon interactions by the SU${}_6$ quark-model enables us to obtain less ambiguous extrapolation to the $S=-1$ and $S=-2$ sectors based on the knowledge in the $NN$ sector than other potential models. The $\Sigma$ mean field is shown to be weakly attractive at the surface, but turns to be repulsive inside, which is consistent with the experimental evidence. The $\Xi$ hyperon s.p. potential is also attractive at the nuclear surface region, and inside fluctuates around zero. Hence $\Xi$ hypernuclear bound states are unlikely. We also evaluate energy shifts of the ${\Sigma }^{-}$ and ${\Xi }^{-}$ atomic levels in ${}^{28}$Si and ${}^{56}$Fe, using the calculated s.p. potentials.

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Cited by in corpus (15)

• Strangeness in nuclear physics
• In-medium properties of a $\Xi N$ interaction derived from chiral effective field theory
• Single-particle potential of the $\Lambda$ hyperon in nuclear matter with chiral effective field theory NLO interactions including effects of YNN three-baryon interactions
• Comparative study of hyperon-nucleon interactions of quark model and chiral effective field theory by low-momentum equivalent interactions and $G$ matrices
• $\Xi$ hyperons in the nuclear medium described by chiral NLO interactions
• Production of multi-strangeness hypernuclei and the YN-interaction
• Strange Nuclear Physics from QCD on Lattice
• Medium effects in $\Lambda K^{+}$ pair production by 2.83 GeV protons on nuclei
• Multi-Strangeness Production in Hadron Induced Reactions
• Near-threshold $K^{\ast }(892{)}^{+}$ meson production in the interaction of ${\pi }^{-}$ mesons with nuclei
• Medium effects in antikaon-induced ${\Xi }^{-}$ hyperon production on nuclei near threshold
• Antikaon-induced $K_1(1270{)}^{+}$ meson production on nuclei near threshold
• Momentum dependence of near-threshold photoproduction of ${\Xi }^{-}$ hyperons off nuclei and their properties in the nuclear medium
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• A Study of Multi$\Lambda$ hypernuclei within Spherical Relativistic Mean-field Approach