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 potentials in chiral effective field theory and possible molecular states

Xu, Hao; Wang, Bo; Liu, Zhanwei; Liu, Xiang

doi:10.1103/physrevd.99.014027

Cited by 79 publications

(55 citation statements)

References 132 publications

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“…Regarding the doubly charmed sector, we find that the I = 0, J P = 1 + D * D and D * D * systems form molecules with binding energies of B 2 = 3 +15 −4 MeV and 2 +13 −3 MeV, respectively. This type of hadron with ccqq quark content has indeed been predicted in the quark model [72][73][74][75][76][77][78] (as a compact tetraquark, with large uncertainties regarding its location though), in a molecular model that includes two-pion exchange [79] (with a binding energy of B 2 = 20 MeV) and recently in the lattice [75], with B 2 = 22 ± 11 MeV. The HFS partners in the charm-bottom (cbqq) and doubly bottom (bbqq) sectors are also predicted, with binding energies of B 2 = 15 +30 −20 MeV and 60 +60 −50 MeV, respectively.…”

Section: Discussionmentioning

confidence: 59%

Heavy-quark spin and flavor symmetry partners of the X(3872) revisited: What can we learn from the one boson exchange model?

et al. 2019

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Heavy-quark symmetry as applied to heavy hadron systems implies that their interactions are independent of their heavy-quark spin (heavy-quark spin symmetry) and heavy flavour contents (heavy flavour symmetry). In the molecular hypothesis the X(3872) resonance is a 1 ++ D * D bound state. If this is the case, the application of heavy-quark symmetry to a molecular X(3872) suggests the existence of a series of partner states, the most obvious of which is a possible 2 ++ D * D * bound state for which the two-body potential is identical to that of the 1 ++ D * D system, the reason being that these two heavy hadron-antihadron states have identical light-spin content. As already discussed in the literature this leads to the prediction of a partner state at 4012 MeV, at least in the absence of other dynamical effects which might affect the location of this molecule. However the prediction of further heavy-quark symmetry partners cannot be done solely on the basis of symmetry and requires additional information. We propose to use the one boson exchange model to fill this gap, in which case we will be able to predict or discard the existence of other partner states. Besides the isoscalar 2 ++ D * D * bound state, we correctly reproduce the location and quantum numbers of the isovector hidden-bottom Z b (10610) and Z b (10650) molecular candidates. We also predict the hidden-bottom 1 ++ B * B * and 2 ++ B * B * partners of the X(3872), in agreement with previous theoretical speculations, plus a series of other states. The isoscalar, doubly charmed 1 + DD * and D * D * molecules and their doubly bottomed counterparts are likely to bind, providing a few instances of explicitly exotic systems.2 −D * Σ * c state. Yet, with the exception of the doubly charmed pentaquark family, heavyquark symmetry alone is in general not able to determine the

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Section: Discussionmentioning

confidence: 59%

Heavy-quark spin and flavor symmetry partners of the X(3872) revisited: What can we learn from the one boson exchange model?

et al. 2019

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“…As in refs. [35][36][37]58], we set n = 2. The cutoff value Λ is commonly chosen to be smaller than ρ meson mass in the N -N system [58].…”

Section: ( * ) Systemsmentioning

confidence: 99%

“…The (ω, f 0 ) and (ρ, a 0 ) mesons account for the isospin-isospin unrelated D a and related E a , respectively [e.g., see eq. (2.14)] [35]. Meanwhile, the ω and ρ mesons couple to the matter fields via the P -wave interaction due to the parity conservation.…”

Section: The Binding Energies Of the [σmentioning

confidence: 99%

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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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“…With the chiral Lagrangians involving heavy-light mesons, a wide range of problems can be studied [13][14][15][16][17][18][19][20][21][22][23][24][25], such as properties of heavy-light mesons, mass difference between heavy-light mesons in the same doublet, interactions between the Goldstone bosons and the heavy-light mesons, interactions between heavy-light mesons, properties of new open-flavor particles [26], and so on. Up to now, the chiral Lagrangian in the sector of light pseudoscalar mesons has been constructed up to the O(p 8 ) order [27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Chiral Lagrangians for mesons with a single heavy quark

2019

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We construct the relativistic chiral Lagrangians for heavy-light mesons (Qq) to the O(p 4 ) order. From O(p 2 ) to O(p 4 ), there are 17, 67, and 404 independent terms in the flavor SU (2) case and 20, 84, and 655 independent terms in the flavor SU (3) case. The Lagrangians in the heavy quark limit are also obtained. From O(p 2 ) to O(p 4 ), there are 7, 25, and 136 independent terms in the flavor SU (2) case and 8, 33, and 212 independent terms in the flavor SU (3) case. The relations between low-energy constants based on the heavy quark symmetry are also given up to the O

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DD* potentials in chiral effective field theory and possible molecular states

Cited by 79 publications

References 132 publications

Heavy-quark spin and flavor symmetry partners of the X(3872) revisited: What can we learn from the one boson exchange model?

Heavy-quark spin and flavor symmetry partners of the X(3872) revisited: What can we learn from the one boson exchange model?

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

Chiral Lagrangians for mesons with a single heavy quark

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