Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation

Abstract

Theoretical predictions for the spectrum of heavy meson-baryon bound states are a fundamental tool for disentangling the nature of the different pentaquark states that have been observed in experimental facilities. Here we explore this spectrum in a phenomenological model that describes the heavy meson-baryon interaction in terms of a contact-range interaction, where the coupling strength is saturated by the exchange of light scalar and vector mesons, i.e. $\sigma$, $\rho$ and $\omega$ exchanges. Saturation determines the couplings modulo an unknown proportionality constant that can be calibrated from a molecular candidate. If we use the $P_{\psi }^N(4312)$ as input, we predict a series of molecular pentaquarks including the $P_{\psi }^N(4440)$ and $P_{\psi }^N(4457)$, the recent $P_{\psi s}^{\Lambda }(4338)$ and the $P_{\psi s}^{\Lambda }(4459)$.

15 pages, 7 tables, 1 figure; corresponds to published version

References in corpus (18)

• 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
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• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Power Counting of Contact-Range Currents in Effective Field Theory
• Measurement of the J/$\psi$ photoproduction cross section over the full near-threshold kinematic region
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• New strange pentaquarks
• Strange hidden-charm $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ pentaquarks and additional $P_{\psi s}^{\Lambda }$, $P_{\psi s}^{\Sigma }$ and $P_{\psi ss}^N$ candidates in a quark model approach
• Hidden-charm pentaquarks with triple strangeness due to the ${\Omega }_c^{(\ast )}{\bar{D}}_s^{(\ast )}$ interactions
• Experimental constraints on the properties of $P_c$ states
• Search for prompt production of pentaquarks in charm hadron final states

Cited by in corpus (5)

• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules