Double triangle cusps relevant to Pc(4312)+ , Pc(4380)+, and Pc(4457)+

Authors

  • Satoshi Nakamura University of Science and Technology of China

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308037

Keywords:

Pentaquark, kinematical singularities

Abstract

A novel scenario is proposed for hidden charm pentaquark (Pc)-like structures in Λ 0 b → J/ψpK−. The scenario is based on kinematical singularities arising from double triangle mechanisms. Anomalous threshold cusps due to the singularities are, compared with ordinary P(∗) c D¯(∗) one-loop thresh-old cusp, significantly more singular. It is demonstrated that an interference among the double triangle mechanisms and other common mechanisms generates peaks very similar to the Pc(4312)+, Pc(4380)+, and Pc(4457)+ peak structures. While hadron molecules and compact pentaquarks have been common models to explain the Pc states, the present model is a completely different one. The present model includes only one pentaquark state Pc(4440)+. However, we find that the Pc(4440)+ width and strength are significantly smaller than those from the LHCb analysis. The P + c signals are searched for in J/ψ photoproduction but not found. A search was also made in Λ 0 b → J/ψpπ− data, finding only a possible P c(4440)+-like signal. The present model is consistent with the experimental situation

References

i. The hadron naming scheme of Ref. [2] will be used. However, we often use abbreviations such as Σc, Σ ∗ c , Λ ∗ c , and Λ ∗∗ c for Σc(2455)+(++) , Σc(2520)+(++) , Λc(2595)+, and Λc(2625)+, respectively; Yc refers to Λ (∗,∗∗) c and Σ (∗) c collectively. The notation BM(J P ) stands for a baryon (B) and a meson (M) paired in a spin-parity J P .

R. Aaij et al., Observation of a Narrow Pentaquark State, P c(4312)+, and of the Two-Peak Structure of the P c(4450)+, Phys. Rev. Lett. 122 (2019) 222001.

P.A. Zyla et al. (Particle Data Group), The Review of Particle Physics, Prog. Theor. Exp. Phys. 2020 (2020) 083C01.

A. Ali et al. (GlueX Collaboration), First measurement of nearthreshold J/ψ exclusive photoproduction off the proton, Phys. Rev. Lett. 123 (2019) 072001.

S.X. Nakamura, P c(4312)+, P c(4380)+, and P c(4457)+ as double triangle cusps, Phys. Rev. D 103 (2021) L111503.

R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The Analytic S-Matrix, Cambridge University Press, Cambridge, England, 1966.

R. Aaij et al., Evidence for exotic hadron contributions to Λ 0 b → J/ψpπ− decays, Phys. Rev. Lett. 117 (2016) 082003.

R. Aaij et al., Evidence for a new structure in the J/ψp and J/ψp¯ systems in B 0 s → J/ψφpp¯ decays, arXiv:2108.04720.

S.X. Nakamura, A. Hosaka, and Y. Yamaguchi, Pc(4312)+ and Pc(4337)+ as interfering P c D¯ and ΛcD¯ ∗ threshold cusps, Phys. Rev. D 104 (2021) L091503.

S.X. Nakamura, X structures in B + → J/ψφK+ as ordinary and anomalous threshold cusps, arXiv:2111.05115.

Downloads

Published

2022-04-30

How to Cite

1.
Nakamura S. Double triangle cusps relevant to Pc(4312)+ , Pc(4380)+, and Pc(4457)+. Supl. Rev. Mex. Fis. [Internet]. 2022 Apr. 30 [cited 2024 Dec. 21];3(3):0308037 1-4. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6103

Issue

Vol. 3 No. 3 (2022): Suplemento de la Revista Mexicana de Física. 19th International conference on hadron spectroscopy and structure in memoriam Simon Eidelman

Section

Exotic hadrons and candidates

License

Copyright (c) 2022 Satoshi Nakamura (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Suplemento de la Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.