Spectrum of the uudc(c)over-bar hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction

We study a few of the lowest states of the pentaquark uudcc over bar 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+ are provided by the first alternative and are located below the 1/2- and the 1/2+ end{document} states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.