https://doi.org/10.1140/epjc/s10052-023-11492-0
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
b
antonio.polosa@roma1.infn.it
Received:
14
March
2023
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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