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A new look at the P_(cs) states from a molecular perspective

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arxiv 2212.12223 v2 pith:JPVINE4V submitted 2022-12-23 hep-ph hep-exhep-latnucl-th

A new look at the P_(cs) states from a molecular perspective

classification hep-ph hep-exhep-latnucl-th
keywords stateschannelslambdafindmostlyassociationattractioncoupling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We have a look at the $P_{cs}$ states generated from the interaction of $\bar D^{(*)} \Xi^{(\prime*)}_c$ coupled channels. We consider the blocks of pseudoscalar-baryon $({\frac12}^+, {\frac32}^+)$ and vector-baryon $({\frac12}^+, {\frac32}^+)$, and find $10$ resonant states coupling mostly to $\bar D \Xi_c, \bar D^* \Xi_c,\bar D \Xi'_c, \bar D^* \Xi'_c,\bar D \Xi^*_c$ and $\bar D^* \Xi^*_c$. A novel aspect of the work is the realization that the $\bar D \Xi_c,\bar D_s\Lambda_c$ or $\bar D^* \Xi_c,\bar D^*_s\Lambda_c$ channels, with a strong transition potential, collaborate to produce a larger attraction than the corresponding states $\bar D \Sigma_c,\bar D\Lambda_c$ or $\bar D^* \Sigma_c,\bar D^*\Lambda_c$ appearing in the generation of the strangenessless $P_{c}$ states, since in the latter case the transition potential between those channels is zero. The extra attraction obtained in the $\bar D \Xi_c,\bar D^* \Xi_c$ pairs preclude the association of these channels to the $P_{cs}(4338)$ and $P_{cs}(4459)$ states respectively. Then we find a natural association of the $P_{cs}(4338)$ state coupling mostly to $\bar D^* \Xi_c$ while the $P_{cs}(4459)$ is associated to the state found that couples mostly to $\bar D \Xi'_c$. Four more states appear, like in other molecular pictures, and some of the states are degenerate in spin. Counting different spin states we find $10$ states, which we hope can be observed in the near future.

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Forward citations

Cited by 3 Pith papers

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    Introduces a hybrid loop function in Bethe-Salpeter unitarization within the local hidden gauge approach to generate hidden-charm pentaquarks, reproducing six known states and predicting new ones in the S=-1, I=1 sector.

  3. Study of the molecular Properties of the $P_c$ and $P_{cs}$ States

    hep-ph 2026-04 unverdicted novelty 5.0

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