期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2021)157
关键词
QCD Phenomenology; Non-perturbative renormalization
资金
- National Natural Science Foundation of China (NSFC) [12070131001, 11835015, 12047503, 11961141012, 12035007]
- Deutsche Forschungsgemeinschaft (DFG) [TRR110, 196253076]
- Chinese Academy of Sciences (CAS) [QYZDB-SSW-SYS013, XDPB15, XDB34030000]
- Munich Institute for Astro-and Particle Physics (MIAPP) of the DFG cluster of excellence Origin and Structure of the Universe''
- Spanish Ministerio de Economia y Competitividad (MINECO)
- European Regional Development Fund (ERDF) [FIS2017-84038-C2-1-P]
- EU Horizon 2020 research and innovation programme, STRONG-2020 project [824093]
- Generalitat Valenciana [PROMETEO/2020/023]
- Guangdong Major Project of Basic and Applied Basic Research [2020B0301030008]
- Guangdong Provincial [2019QN01X172]
- Science and Technology Program of Guangzhou [2019050001]
- CAS President's International Fellowship Initiative (PIFI) [2018DM0034]
- VolkswagenStiftung [93562]
- MICINN (Spain) [PID2019-106080GB-C22/AEI]
This study investigates the nature of three narrow hidden-charm pentaquark states, suggesting P-c(4312) as a Sigma(c)D hadronic molecule, P-c(4440) and P-c(4457) as a Sigma(c)D and Sigma(c)D* hadronic molecules respectively, and identifies a new narrow state P-c(4380). The analysis reveals that the data is consistent with the proposed interpretations.
The nature of the three narrow hidden-charm pentaquark P-c states, i.e., P-c (4312), P-c (4440) and P-c (4457), is under intense discussion since their discovery from the updated analysis of the process Lambda(0)(b) -> I ) J/psi pK(-) 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 Sigma(()(c)*()) (D) over bar (()*()) molecules, by including the Lambda(c)(D) over bar (()*()) and eta(c)p as explicit inelastic channels in addition to the J/psi p, 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., Sigma(()(c)*()) (D) over bar (()*()), and inelastic channels and without the Lambda(c)(D) over bar (()*()) interactions, (b) scheme II, where the one-pion exchange (OPE) is added to scheme I, and (c) scheme III, where the Lambda(c)(D) over bar (()*()) 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/psi p invariant mass distribution are consistent with the interpretation of the P-c(4312) and P-c(4440)/P-c(4457) as Sigma(c)(D) over bar and Sigma(c)(D) over bar* hadronic molecules, respectively, and that the data show clear evidence for a new narrow state, P-c(4380), identified as a Sigma(c)*(D) over bar 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 P-c (4440) and P-c (4457) being J(P) = 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 P-c (4440) and the P-c (4457) in the Sigma(()(c)*())<(D)over ( )anf eta(c)p mass distributions from Lambda(0)(b) ->( )Sigma(()(c)*()) (D) over barK(-) and Lambda(0)(b) -> eta(c)pK(-) will shed light on the quantum numbers of those states, once the data are available. We also investigate possible pentaquark signals in the Lambda(c)(D) over bar (()*()) final states.
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