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$P_{c} (4312)^{+}$ and $P_{c} (4337)^{+}$ as interfering $Σ_{c} \bar{D}$ and $Λ_{c} {\bar{D}}^{*}$ threshold cusps

S. X. Nakamura ^1,2,*, A. Hosaka^3,4, and Y. Yamaguchi ⁴

¹University of Science and Technology of China, Hefei 230026, People’s Republic of China
²State Key Laboratory of Particle Detection and Electronics (IHEP-USTC), Hefei 230036, People’s Republic of China
³Research Center for Nuclear Physics, Osaka University, Ibaraki 567-0047, Japan
⁴Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai 319-1195, Japan

^*satoshi@ustc.edu.cn

Phys. Rev. D 104, L091503 – Published 29 November, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L091503

Abstract

The recent LHCb data on $B_{s}^{0} \to J / ψ p \bar{p}$ revealed a new pentaquark-like $P_{c} (4337)^{+}$ structure, while finding no evidence for $P_{c} (4312)^{+}$ discovered earlier in $Λ_{b}^{0} \to J / ψ p K^{-}$ . Though puzzling, the data actually offer an important hint to understand the nature of the pentaquark candidates. We develop a model to analyze the $B_{s}^{0} \to J / ψ p \bar{p}$ data. We find that a $Σ_{c} \bar{D}$ one-loop mechanism causes a threshold cusp that fits well the $P_{c} (4337)^{+}$ peak. Also, the $Σ_{c} \bar{D}$ and $Λ_{c} {\bar{D}}^{*}$ threshold cusps interfere with each other to reproduce an oscillating behavior in the proton helicity angle distribution. These results combined with our earlier analysis on $Λ_{b}^{0} \to J / ψ p K^{-}$ indicate that $P_{c} (4312)^{+}$ and $P_{c} (4337)^{+}$ are created by different interference patterns between the $Σ_{c} \bar{D}$ and $Λ_{c} {\bar{D}}^{*}$ (anomalous) threshold cusps. The proposed scenario consistently explains why the $P_{c} (4312)^{+}$ and $P_{c} (4337)^{+}$ peaks appear in $Λ_{b}^{0} \to J / ψ p K^{-}$ and $B_{s}^{0} \to J / ψ p \bar{p}$ , respectively, but not vice versa or both.

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References (77)

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Phys. Rev. D 104, L091503– Published 29 November, 2021

Vol. 104, Iss. 9 — 1 November 2021

Received 6 October 2021
Accepted 25 October 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L091503

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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$P_{c} (4312)^{+}$ and $P_{c} (4337)^{+}$ as interfering $Σ_{c} \bar{D}$ and $Λ_{c} {\bar{D}}^{*}$ threshold cusps

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Pc(4312)+ and Pc(4337)+ as interfering ΣcD¯ and ΛcD¯* threshold cusps

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$P_{c} (4312)^{+}$ and $P_{c} (4337)^{+}$ as interfering $Σ_{c} \bar{D}$ and $Λ_{c} {\bar{D}}^{*}$ threshold cusps