Pole analysis on the hadron spectroscopy of $$\Lambda _b\rightarrow J/\Psi p K^-$$

Kuang, Shi-Qing; Dai, L.; Kang, Xian-Wei; Yao, De-Liang

doi:10.1140/epjc/s10052-020-8008-5

“…[35][36][37] for the scalar mesons and in Ref. [38] for the pentaquark states, we conclude that the (2012) is a molecular hadronic state, dynamically generated from the interactions ofK * (1530) and η in s-wave andK in d-wave.…”

Section: Numerical Resultssupporting

confidence: 66%

Revisiting the $$\Omega (2012)$$ as a hadronic molecule and its strong decays

Lu

¹

,

Zeng

²

,

Wang

³

et al. 2020

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Recently, the Belle collaboration measured the ratios of the branching fractions of the newly observed (2012) excited state. They did not observe significant signals for the (2012) →K * (1530) →K π decay, and reported an upper limit for the ratio of the three body decay to the two body decay mode of (2012) →K . In this work, we revisit the newly observed (2012) from the molecular perspective where this resonance appears to be a dynamically generated state with spin-parity 3/2 − from the coupled channels interactions of theK * (1530) and η in s-wave and K in d-wave. With the model parameters for the d-wave interaction, we show that the ratio of these decay fractions reported recently by the Belle collaboration can be easily accommodated.

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“…However, the verification of the broad P c (4380) reported in 2015 awaits a complete amplitude analysis. Numerous theoretical interpretations of the nature of the pentaquarks followed these discoveries, including hadronic molecules , compact pentaquarks states [43,[49][50][51][52][53][54], hadro-charmonia [55][56][57], and cusp effects [43].…”

Section: Introductionmentioning

confidence: 99%

“…In ref. [43], final state interactions are constructed based on a K-matrix including the channels J/ψp-Σ cD -Σ cD * . The analysis suggests that the P c (4312) is a Σ cD molecule, while the P c (4440) could be a compact pentaquark state, and the P c (4457) could be caused by the cusp effect.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the nature of the Pc pentaquarks

Du

¹

,

Baru

²

,

Guo

³

et al. 2021

J. High Energ. Phys.

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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 $$ {\Lambda}_b^0\to J/\psi {pK}^{-} $$ Λ b 0 → J / ψ 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 $$ {\Sigma}_c^{\left(\ast \right)}{\overline{D}}^{\left(\ast \right)} $$ Σ c ∗ D ¯ ∗ molecules, by including the $$ {\Lambda}_c{\overline{D}}^{\left(\ast \right)} $$ Λ c D ¯ ∗ 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., $$ {\Sigma}_c^{\left(\ast \right)}{\overline{D}}^{\left(\ast \right)} $$ Σ c ∗ D ¯ ∗ , and inelastic channels and without the $$ {\Lambda}_c{\overline{D}}^{\left(\ast \right)} $$ Λ c D ¯ ∗ interactions, (b) scheme II, where the one-pion exchange (OPE) is added to scheme I, and (c) scheme III, where the $$ {\Lambda}_c{\overline{D}}^{\left(\ast \right)} $$ Λ c D ¯ ∗ 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 $$ {\Lambda}_c\overline{D} $$ Λ c D ¯ and $$ {\Sigma}_c{\overline{D}}^{\ast } $$ Σ c D ¯ ∗ hadronic molecules, respectively, and that the data show clear evidence for a new narrow state, Pc(4380), identified as a $$ {\Sigma}_c^{\ast}\overline{D} $$ Σ c ∗ D ¯ 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 $$ {\Sigma}_c^{\left(\ast \right)}\overline{D} $$ Σ c ∗ D ¯ and ηcp mass distributions from $$ {\Lambda}_b^0\to {\Sigma}_c^{\left(\ast \right)}\overline{D}{K}^{-} $$ Λ b 0 → Σ c ∗ D ¯ K − and $$ {\Lambda}_b^0\to {\eta}_c{pK}^{-} $$ Λ b 0 → η 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 $$ {\Lambda}_c{\overline{D}}^{\left(\ast \right)} $$ Λ c D ¯ ∗ final states.

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“…Analyzing the J=ψp spectroscopy with the K-matrix method, Ref. [82] assigns the P c ð4312Þ as aDΣ c molecule, P c ð4440Þ a S-wave compact pentaquark state, and P c ð4457Þ as a cusp effect. In the present work, based on the results of Ref.…”

Section: Introductionmentioning

confidence: 99%

How to reveal the nature of three or more pentaquark states

Xiao

¹

,

Lu

²

,

Wu

³

et al. 2020

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Within the chiral unitary approach and with the constraints of heavy quark spin symmetry, we study the coupled channel interactions ofD ðÃÞ Σ ðÃÞ c channels, close to whose thresholds three pentaquarklike P c states have been reported by the LHCb Collaboration. In the present work, we take into account the contributions of pion exchanges via box diagrams to the interaction potentials, and therefore lift the degeneracy in the masses ofD Ã Σ ðÃÞ c spin multiplets. Fitting the J=ψp invariant mass distributions in the Λ 0 b → J=ψK − p decay, we find that the LHCb pentaquark states cannot be reproduced in the direct J=ψp production in the Λ 0 b decay, and can only be indirectly produced in the final state interactions of the Λ 0 b decay products,D ðÃÞ Σ ðÃÞ c , which further supports the nature of these states asD ðÃÞ Σ c molecules. Based on the fit results obtained, we study the partial decay widths/branching ratios to the other decay channels,D Ã Λ c ,DΛ c , and η c N, and the corresponding invariant mass distributions. The resonances with J P ¼ 1 2 − , P c ð4312Þ, P c ð4440Þ and the one ofD Ã Σ Ã c around 4500 MeV, have large partial decay width into η c N, and thus can be easily seen in the η c N invariant mass distributions. By contrast, the states with J P ¼ 3 2 − , P c ð4457Þ, the (predicted) narrow P c ð4380Þ, and the bound state ofD Ã Σ Ã c with a mass of about 4520 MeV do not decay into η c N. Therefore, the η c N channel should be studied in the future to provide further insights into the nature of these states, especially that of P c ð4440Þ and P c ð4457Þ.

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Pole analysis on the hadron spectroscopy of $$\Lambda _b\rightarrow J/\Psi p K^-$$

Cited by 38 publications

References 44 publications

Revisiting the $$\Omega (2012)$$ as a hadronic molecule and its strong decays

Revisiting the $$\Omega (2012)$$ as a hadronic molecule and its strong decays

Revisiting the nature of the Pc pentaquarks

How to reveal the nature of three or more pentaquark states

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