Abstract :
[en] We study a few of the lowest states of the pentaquark $uudc\overline{c}$,
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 $1/2^+$ states
with all quarks in the ground state. We compare our
results with the LHCb three narrow pentaquark structures reported in 2019.
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