https://doi.org/10.1140/epjc/s10052-019-7474-0
Regular Article - Theoretical Physics
Spectrum of the 
hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
Université de Liège, Institut de Physique, B.5, Sart Tilman, 4000, Liège 1, Belgium
* e-mail: fstancu@ulg.ac.be
Received:
1
July
2019
Accepted:
9
November
2019
Published online:
21
November
2019
We study a few of the lowest states of the pentaquark 
, 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 
are provided by the first alternative and are located below the 
and the 
states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.
© The Author(s), 2019
