Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction

Abstract

Abstract We study a few of the lowest states of the pentaquark $$uudc\overline{c}$$ uudcc¯ , of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $$1/2^+, 3/2^+$$ 1/2+,3/2+ are provided by the first alternative and are located below the $$1/2^-$$ 1/2- and the $$1/2^+$$ 1/2+ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.