Analysis of hidden-charm pentaquark molecular states with and without strangeness via the QCD sum rules *

Wang, Zhigang; Qi, Xin

doi:10.1088/1674-1137/ac2a1d

Cited by 29 publications

(24 citation statements)

References 70 publications

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“…and Λ QCD = 213 MeV, 296 MeV, 339 MeV for the flavors n f = 5, 4, 3, respectively [3,32], In this paper, we choose the flavor number n f = 4 for all the pentaquark molecular states, and apply the energy scale formula to determine the best energy scales of the QCD spectral densities [12,14,20,21,23,24,25,26],…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…where the M c is the effective charm quark mass, we choose the updated value M c = 1.85 ± 0.01 GeV [21].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The QCD sum rules approach is a powerful theoretical tool in studying the exotic states, the P c (4312), P c (4380), P c (4440) and P c (4457) have been studied with the QCD sum rules, irrespective of assigning as pentaquark states [12,13,14,15] or pentaquark molecular states [16,17,18,19,20,21,22].…”

mentioning

confidence: 99%

“…where the U ± (p, s), U ± µ (p, s) and U ± µν (p, s) are the Dirac and Rarita-Schwinger spinors, for all the technical details, one can consult Refs. [12,13,14,15,20,21].…”

mentioning

confidence: 99%

“…If we prefer interpretations of the pentaquark molecular states and the theoretical approach of the QCD sum rules, we should distinguish their isospins and investigate their properties in an unambiguous way, however, in previous works, the isospins of the interpolating currents were not specified [16,17,18,19,20,21,22], the currents couple potentially not only to the molecular states with the isospin I = 1 2 but also to the ones with the isospin I = 3 2 , there are unknown uncertainties. Since those P c states were discovered in the J/ψp invariant mass spectrum, their isospins should be I = 1 2 considering for conservation of the isospins in the strong interactions, and we should specify the isospins of the interpolating currents to make robust predictions, it is the key issue to solve the puzzle of those P c states.…”

mentioning

confidence: 99%

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Isospin eigenstates of the color singlet-singlet type pentaquark states

Wang,

et al. 2022

Preprint

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In this article, we construct the color-singlet-color-singlet type five-quark currents with the isospins (I, I3) = ( 12 , 1 2 ) and ( 32 , 1 2 ) unambiguously to explore the DΣc, DΣ * c , D * Σc and D * Σ * c molecular states via the QCD sum rules for the first time. The numerical results support assigning the Pc(4312), Pc(4380), Pc(4440) and Pc(4457) as the DΣc, DΣ * c , D * Σc and D * Σ * c pentaquark molecular states with the isospin I = 1 2 , respectively. The corresponding DΣc, DΣ * c , D * Σc and D * Σ * c pentaquark molecular states with the isospin I = 32 have slightly larger masses, the observations of the higher pentaquark molecule candidates in the J/ψ∆ invariant mass spectrum would shed light on the nature of the Pc states, and make contributions in distinguishing the scenarios of pentaquark states and pentaquark molecular states.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…where the M c is the effective charm quark mass, we choose the updated value M c = 1.85 ± 0.01 GeV [21].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

“…where the U ± (p, s), U ± µ (p, s) and U ± µν (p, s) are the Dirac and Rarita-Schwinger spinors, for all the technical details, one can consult Refs. [12,13,14,15,20,21].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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