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The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity

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arxiv 2208.05106 v1 pith:MINYBNSC submitted 2022-08-10 hep-ph

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

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abstract

We present a model for the $J/\psi\Lambda$ spectrum in $B^-\to J/\psi \Lambda \bar{p}$ decays, including the $P_{\psi s}^\Lambda(4338)$ baryon recently observed by the LHCb collaboration. We assume production via triangle diagrams which couple to the final state via non-perturbative interactions which are constrained by heavy-quark and $SU_3$-flavor symmetry. The bulk of the distribution is described by a triangle diagram with a color-favored electroweak vertex, while the sharp $P_{\psi s}^\Lambda(4338)$ enhancement is due to the triangle singularity in another diagram featuring a $1/2^-$ baryon consistent with $\Sigma_c(2800)$. We predict a comparable $P_{\psi s}^\Lambda(4338)$ signal in $\eta_c \Lambda$, and anticipate possible large isospin mixing effects through decays to $J/\psi \Sigma^0$ and $\eta_c \Sigma^0$

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Cited by 2 Pith papers

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    hep-ph 2025-08 reject novelty 6.0 of 10

    A model calculation predicts fourteen double-heavy molecular pentaquark states, but their existence and binding energies depend critically on an unconstrained regularization parameter.

  2. On the possible existence of a $S=-3, \, I=1$ pentaquark

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A unitarized chiral calculation with next-to-leading-order terms generates a possible I=1 triply strange pentaquark near the Kbar-Xi threshold for one LEC set.

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