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Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry

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arxiv 1906.09010 v1 pith:LZQUHBHZ submitted 2019-06-21 hep-ph

classification hep-ph
keywords statescharmhiddeninteractionisoscalarsectoranotherheavy
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We have studied the meson-baryon $S-$wave interaction, using coupled channels, in the isoscalar hidden-charm strange sector and $J^P = 1/2^-,3/2^-$ and $5/2^-$. We impose constraints of heavy quark spin symmetry in the interaction and obtain the non vanishing matrix elements from an extension of the local hidden gauge approach to the charm sector. The ultraviolet divergences are renormalized using the same meson-baryon-loops regulator previously employed in the non-strange hidden charm sector, where a good reproduction of the properties of the newly discovered pentaquark states is obtained. We obtain five states of $1/2^-$, four of $3/2^-$ and one of $5/2^-$, which could be compared in the near future with forthcoming LHCb experiments. The $5/2^-$, three of the $3/2^-$ and another three of the $1/2^-$ resonances are originated from isoscalar $\bar D^{(*)}\Xi_c^\prime$ and $\bar D^{(*)}\Xi_c^*$ interactions. They should be located just few MeV below the corresponding thresholds (4446, 4513, 4588 and 4655 MeV), and would be SU(3)-siblings of the isospin 1/2 $\bar D^{(*)} \Sigma_c^{(*)}$ quasi-bound states previously found, and that provided a robust theoretical description of the $P_c(4440)$, $P_c(4457)$ and $P_c(4312)$ LHCb exotic states. The another two $1/2^-$ and $3/2^-$ states obtained in this work are result of the $\bar D^{(*)}\Xi_c-D^{(*)}_s\Lambda_c$ coupled-channels isoscalar interaction, are significantly broader than the others, with widths of the order of 15 MeV, being $\bar D^{(*)}_s\Lambda_c$ the dominant decay channel.

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  1. Bridging correlation and spectroscopy measurements to access the hadron interaction behind molecular states: the case of the $\Xi$(1620) and $\Xi$(1690) in the $K^- \Lambda$ system

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A model constrained by ALICE correlation data reproduces the LHCb K−Λ mass spectrum above 1680 MeV but overshoots the threshold region dominated by the Xi(1620).

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