Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model

Abstract

We study the spectrum of the isoscalar pentaquark $udsc\overline{c}$, of either positive or negative parity, in a constituent quark model with linear confinement and a flavor-spin hyperfine interaction previously extended to SU(4) and used to describe the spectrum of the $uudc\overline{c}$ pentaquarks observed at LHCb in 2019. For positive parity we make a distinction between the case where one unit of angular momentum is located in the subsystem of four quarks and the case where the angular momentum is located in the relative motion between a ground state four-quark subsystem and the antiquark. The novelty is that we introduce the coupling between different flavor states, due to the breaking of exact SU(4)-flavor symmetry of the Hamiltonian model, both for positive and negative parity states. An important consequence is that the lowest state, located at 4404 MeV, has quantum numbers $J^P$ = $1/2^{-}$ while without coupling the lowest state has $J^P$ = $1/2^{+}$ or $3/2^{+}$.

26 pages, title slightly changed, other minor changes, it matches the published version. arXiv admin note: text overlap with arXiv:1902.07101

References in corpus (8)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory

Cited by in corpus (6)

• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• $P_c$ Resonances in the Compact Pentaquark Picture
• Relations between strong decay widths of the $P_c$ pentaquarks in the SU(4) flavor-spin model
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation