Journal Article

FZJ-2021-04932

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Revisiting the nature of the Pc pentaquarks

Du, M.-L. (Corresponding author) ; Baru, V. ; Guo, F.-K. ; Hanhart, C.FZJ* ; Meissner, U.-G.FZJ* ; Oller, J. A. ; Wang, Q.

2021
SISSA [Trieste]

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Please use a persistent id in citations: http://hdl.handle.net/2128/29359  doi:10.1007/JHEP08(2021)157

Abstract: The nature of the three narrow hidden-charm pentaquark Pc states, i.e., Pc(4312), Pc(4440) and Pc(4457), is under intense discussion since their discovery from the updated analysis of the process Λ0b→J/ψpK− by LHCb. In this work we extend our previous coupled-channel approach [Phys. Rev. Lett. 124, 072001 (2020)], in which the Pc states are treated as Σ(∗)cD¯¯¯¯(∗) molecules, by including the ΛcD¯¯¯¯(∗) and ηcp as explicit inelastic channels in addition to the J/ψp, as required by unitarity and heavy quark spin symmetry (HQSS), respectively. Since inelastic parameters are very badly constrained by the current data, three calculation schemes are considered: (a) scheme I with pure contact interactions between the elastic, i.e., Σ(∗)cD¯¯¯¯(∗), and inelastic channels and without the ΛcD¯¯¯¯(∗) interactions, (b) scheme II, where the one-pion exchange (OPE) is added to scheme I, and (c) scheme III, where the ΛcD¯¯¯¯(∗) interactions are included in addition. It is shown that to obtain cutoff independent results, OPE in the multichannel system is to be supplemented with S-wave-to-D-wave mixing contact terms. As a result, in line with our previous analysis, we demonstrate that the experimental data for the J/ψp invariant mass distribution are consistent with the interpretation of the Pc(4312) and Pc(4440)/Pc(4457) as ΛcD¯¯¯¯ and ΣcD¯¯¯¯∗ hadronic molecules, respectively, and that the data show clear evidence for a new narrow state, Pc(4380), identified as a Σ∗cD¯¯¯¯ molecule, which should exist as a consequence of HQSS. While two statistically equally good solutions are found in scheme I, only one of these solutions with the quantum numbers of the Pc(4440) and Pc(4457) being JP = 3/2− and 1/2−, respectively, survives the requirement of regulator independence once the OPE is included. Moreover, we predict the line shapes in the elastic and inelastic channels and demonstrate that those related to the Pc(4440) and the Pc(4457) in the Σ(∗)cD¯¯¯¯ and ηcp mass distributions from Λ0b→Σ(∗)cD¯¯¯¯K− and Λ0b→ηcpK− will shed light on the quantum numbers of those states, once the data are available. We also investigate possible pentaquark signals in the ΛcD¯¯¯¯(∗) final states.

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Theorie der starken Wechselwirkung (IKP-3)

Research Program(s):

1. 5111 - Domain-Specific Simulation Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Appears in the scientific report 2021

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