One pion exchange and the quantum numbers of the 
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Valderrama, Manuel Pavón

doi:10.1103/physrevd.100.094028

Cited by 78 publications

(41 citation statements)

References 41 publications

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“…When applied to models of the P c states based on Σ ðÃÞ cD ðÃÞ d.o.f. [56][57][58][59][60], a simultaneous fit to both P c ð4440Þ and P c ð4457Þ requires strong short-range interactions. In contrast, in our model we find that by including the Λ c ð2595ÞD channel, it is possible to fit both states without the need for additional short-range interactions.…”

Section: A Potentialsmentioning

confidence: 99%

“…We have also computed the corresponding potentials using heavy hadron chiral Lagrangians, and our results agree in magnitude with those of Refs. [7,23,24,58,61]; those of Refs. [8,15] are larger by a factor of 2.…”

Section: A Potentialsmentioning

confidence: 99%

“…In terms of the signs, our potentials agree with those of Refs. [7,8,15,58,61], provided g and g 1 are chosen to have the same sign, as is done in most of those papers. By comparison, the potentials in Refs.…”

Section: A Potentialsmentioning

confidence: 99%

“…We thus conclude that the assignment of P c ð4440Þ and P c ð4457Þ as 1=2 − and 3=2 − states (or vice versa) is not tenable in the simplest molecular scenario, where binding is due to the elastic Σ cD Ã − Σ cD Ã one-pion-exchange coupling. The assignment can be made to work if additional, short-range interactions are included in the potential through contact terms fit to data [56][57][58][59][60]65,66], exchange of mesons other than pions [11,16,53,[67][68][69][70], or quarklevel interactions [14,71]. These approaches typically predict the existence of a number of other states which are apparently not observed in experiment, in particular, Σ Ã cD Ã states with 1=2 − , 3=2 − , and 5=2 − quantum numbers.…”

Section: B Elastic Channelsmentioning

confidence: 99%

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Molecular interpretation of the Pc(4440) and Pc(4457) sta

Burns

Swanson

2019

Phys. Rev. D

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A molecular model of the P c ð4457Þ and P c ð4440Þ LHCb states is proposed. The model relies on channels coupled by long-range pion-exchange dynamics with features that depend crucially on the novel addition of the Λ c ð2595ÞD channel. A striking prediction of the model is the unusual combination of quantum numbers J P ð4457Þ ¼ 1=2 þ and J P ð4440Þ ¼ 3=2 −. Unlike in other models, a simultaneous description of both states is achieved without introducing additional short-range interactions. The model also gives a natural explanation for the relative widths of the states. We show that the usual molecular scenarios cannot explain the production rate of P c states in Λ b decays and that this can be resolved by including Λ c ð2595ÞD and related channels. Experimental tests and other states are discussed in the conclusions.

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Section: A Potentialsmentioning

confidence: 99%

Section: A Potentialsmentioning

confidence: 99%

Section: A Potentialsmentioning

confidence: 99%

Section: B Elastic Channelsmentioning

confidence: 99%

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Molecular interpretation of the Pc(4440) and Pc(4457) sta

Burns

Swanson

2019

Phys. Rev. D

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“…, respectively. Nevertheless, in some recent works[59][60][61], a new conjecture, that the J P = 3 for P c (4440) and 1 for P c (4457), is proposed. In this subsection, we investigate the possibility of this spin assignment.…”

mentioning

confidence: 99%

Hidden-charm and hidden-bottom molecular pentaquarks in chiral effective field theory

Wang

Meng

Zhu

2019

J. High Energ. Phys.

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The newly observed P c (4312), P c (4440) and P c (4457) at the LHCb experiment are very close to the Σ cD and Σ cD * thresholds. In this work, we perform a systematic study and give a complete picture on the interactions between the Σ ( * ) c andD ( * ) systems in the framework of heavy hadron chiral perturbation theory, where the short-range contact interaction, long-range one-pion-exchange contribution, and intermediate-range two-pion-exchange loop diagrams are all considered. We first investigate the three P c states without and with considering the Λ c contribution in the loop diagrams. It is difficult to simultaneously reproduce the three P c s unless the Λ c is included. The coupling between the Σ ( * ) cD ( * ) and Λ cD ( * ) channels is crucial for the formation of these P c s. Our calculation supports the P c (4312), P c (4440) and P c (4457) to be the S-wave hidden-charm [Σ cD ] I=1/2 J=1/2 , [Σ cD * ] I=1/2 J=1/2 and [Σ cD * ] I=1/2 J=3/2 molecular pentaquarks, respectively. Our calculation disfavors the spin assignment J P = 1 2 − for P c (4457) and J P = 3 2 − for P c (4440), because the excessively enhanced spin-spin interaction is unreasonable in the present case. We obtain the complete mass spectra of the [Σ ( * ) cD ( * ) ] J systems with the fixed low energy constants. Our result indicates the existence of the [Σ *cD * ] J (J = 1 2 , 3 2 , 5 2 ) hadronic molecules. The previously reported P c (4380) might be a deeper bound one. Additionally, we also study the hidden-bottom Σ ( * ) b B ( * ) systems, and predict seven bound molecular states, which could serve as a guidance for future experiments. Furthermore, we also examine the heavy quark symmetry breaking effect in the hidden-charm and hidden-bottom systems by taking into account the mass splittings in the propagators of the intermediate states. As expected, the heavy quark symmetry in the bottom cases is better than that in the charmed sectors. We notice that the heavy quark symmetry in the Σ cD and Σ * cD systems is much worse for some fortuitous reasons. The heavy quark symmetry breaking effect is nonnegligible in predicting the effective potentials between the charmed hadrons.

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Revisiting the nature of the Pc pentaquarks

Baru

Guo

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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One pion exchange and the quantum numbers of the Pc(4440) and P

Cited by 78 publications

References 41 publications

Molecular interpretation of the Pc(4440) and Pc(4457) sta

Molecular interpretation of the Pc(4440) and Pc(4457) sta

Hidden-charm and hidden-bottom molecular pentaquarks in chiral effective field theory

Revisiting the nature of the Pc pentaquarks

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