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

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arxiv 1901.09215 v1 pith:O24VJIG6 submitted 2019-01-26 hep-ph nucl-th

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

classification hep-ph nucl-th
keywords heavyspinquarkstructuremultipletbasisboundmeson-baryon
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 Schr\"odinger 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.

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