Heavy quark spin multiplet structure of $P_c$-like pentaquark as P-wave hadronic molecular state

Abstract

We study the heavy quark spin (HQS) multiplet structure of P-wave $Q\bar{Q}qqq$-type pentaquarks treated as molecules of a heavy meson and a heavy baryon. We define the light-cloud spin (LCS) basis decomposing the meson-baryon spin wavefunction into the LCS and HQS parts. Introducing the LCS basis, we find HQS multiplets classified by the LCS; five HQS singlets, two HQS doublets, and three HQS triplets. We construct the one-pion exchange potential respecting the heavy quark spin and chiral symmetries to demonstrate which HQS multiplets are realized as a bound state. By solving the coupled channel Schrödinger equations, we study the heavy meson-baryon systems with $I=1/2$ and $J^P=(1/2^{+},3/2^{+},5/2^{+},7/2^{+})$. The bound states which have same LCS structure are degenerate at the heavy quark limit, and the degeneracy is resolved for finite mass. This HQS multiplet structure will be measured in the future experiments.

arXiv comment13 pages, 8 figures

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• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
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• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
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• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED