https://doi.org/10.1140/epja/s10050-026-01894-5
Regular Article –Theoretical Physics
Study of singly charmed pentaquark using the hypercentral constituent quark model approach
Department of Physics, Sardar Vallabhbhai National Institute of Technology, 395007, Surat, Gujarat, India
a
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Received:
9
March
2026
Accepted:
28
May
2026
Published online:
24
June
2026
Abstract
In the context of the Hypercentral Constituent Quark Model (HCQM), we examine the spin-dependent mass spectra of singly charmed pentaquark systems as
, where
and here
. In this work, the pentaquark is modeled as a three-body system composed of two diquarks and an antiquark. By expressing this diquark-diquark-antiquark configuration in Jacobi coordinates, the three–body dynamics are significantly simplified within the HCQM framework. The Cornell potential is used to describe the inter-quark interaction, and the spin-spin, spin-orbit, and tensor terms are included to account for hyperfine splittings among states with
. The resulting spectra include effective color couplings that result in an overall color singlet and show the anticipated spin-dependent mass ordering. The allowed strong decay channels are identified by comparing the estimated pentaquark masses with the corresponding meson–baryon thresholds under conserved quantum numbers. For each pentaquark state, we calculate the relative partial decay widths of all kinematically allowed meson–baryon channels. States lying below or very close to their thresholds, together with suppressed decay widths, indicate possible stable or narrow near-threshold pentaquark configurations, which may serve as promising candidates for future experimental searches.
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Communicated by Eulogio Oset.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

