Regular Article - Theoretical Physics
The pentaquark spectrum from Fermi statistics
Dipartimento di Fisica and INFN, Sapienza Universitá di Roma, Piazzale Aldo Moro 2, 00185, Rome, Italy
Accepted: 7 April 2023
Published online: 7 May 2023
We study compact hidden charm pentaquarks in the Born–Oppenheimer approximation, previously introduced for tetraquarks, assuming the heavy pair to be in a color octet. We show that Fermi statistics applied to the complex of the three light quarks, also in color octet, requires S-wave pentaquark ground states to consist of three octets of flavour-SU(3), two with spin 1/2 and one with spin 3/2, in line with the observed, strangeness , spectrum. Additional lines corresponding to decays into and are predicted. In the language of non-relativistic SU(6), ground state pentaquarks form either a or a representation, distinguished by presence or absence of pentaquarks decaying in the spin 3/2 decuplet, e.g. in . Observation of a strangeness or isospin pentaquarks would be a clear signature of compact, QCD bound pentaquarks.
© The Author(s) 2023
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