Pentaquark $\hat{I}{˜}^{+}$ in nuclear matter and $\hat{I}{˜}^{+}$ hypernuclei

Abstract

We study the properties of the $\hat{I}{˜}^{+}$ in nuclear matter and $\hat{I}{˜}^{+}$ hypernuclei within the quark mean-field (QMF) model, which has been successfully used for the description of ordinary nuclei and $\hat{I}›$ hypernuclei. With the assumption that the non-strange mesons couple only to the $u$ and $d$ quarks inside baryons, a sizable attractive potential of the $\hat{I}{˜}^{+}$ in nuclear matter is achieved as a consequence of the cancellation between the attractive scalar potential and the repulsive vector potential. We investigate the $\hat{I}{˜}^{+}$ single-particle energies in light, medium, and heavy nuclei. More bound states are obtained in $\hat{I}{˜}^{+}$ hypernuclei in comparison with those in $\hat{I}›$ hypernuclei.

16 pages, 5 figures