  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.
