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Peaks within peaks and the possible two-peak structure of the Pc (4457): The effective field theory perspective

The LHCb pentaquarks-the Pc(4312), Pc (4440), and Pc (4457)-have been theorized to be ΣcD and ΣcD∗ S-wave molecules. Here, we explore the possibility that two of these pentaquarks-the Pc (4440) and Pc (4457) -contain in addition a Λc(2595)D component in the P-wave. We will analyze the effects of thi...

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Bibliographic Details
Published in:Physical review. D 2021-01, Vol.103 (1), p.1
Main Authors: Peng, Fang-Zheng, Lu, Jun-Xu, Sánchez, Mario Sánchez, Yan, Mao-Jun, Valderrama, Manuel Pavon
Format: Article
Language:English
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Summary:The LHCb pentaquarks-the Pc(4312), Pc (4440), and Pc (4457)-have been theorized to be ΣcD and ΣcD∗ S-wave molecules. Here, we explore the possibility that two of these pentaquarks-the Pc (4440) and Pc (4457) -contain in addition a Λc(2595)D component in the P-wave. We will analyze the effects of this extra channel within two effective field theories: the first one will be a standard contact-range effective field theory, and the second one will include the nondiagonal pion dynamics connecting the ΣcD∗ and Λc (2595) D channels, which happens to be unusually long ranged. The impact of the coupled-channel dynamics between the ΣcD∗ and Λc (2595) D components is modest at best for the Pc (4440) and Pc (4457), which will remain predominantly ΣcD∗ molecules. However, if the quantum numbers of the Pc(4457) are JP = 1/2−, the coupled-channel dynamics is likely to induce the binding of a Λ(2595)D S-wave molecule (coupled to ΣcD∗ in the P-wave) with JP = 1/2+ and a mass similar to the Pc (4457). If this is the case, the Pc (4457) could actually be a double peak containing two different pentaquark states.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.103.014023