<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mi>K</mml:mi></mml:math>molecule in the Bethe-Salpeter equation approach in the heavy quark limit

We study the S-wave DΞ bound state in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. With the kernel generated by the hadronic effective Lagrangian, two open-charmed bound states, which quantum numbers are I = 0, J P = (1 2) − and I = 1, J P = (1 2) − , respectively, are predicted as new candidates of hadronic pentaquark molecules in our formalism. If existing, they could contribute to the broad 3188 MeV structure near the five new narrow Ω c states observed recently by the LHCb Collaboration.

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“…Following Ref. [36], we have g D DV = βg V / √ 2 where g V is determined by the KSRF relation, g V = m ρ / f π ( 5.8) and β = √…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In the chiral limit and the heavy quark limit, the propagator of the D meson can be expressed at the leading order of the 1/m D expansion as follows [36]:…”

Section: The Bethe-salpeter Equation For the Dξ Bound Statementioning

confidence: 99%

Possible open-charmed pentaquark molecule $$\varOmega _c(3188)$$ Ω c ( 3188 ) – the

et al. 2018

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“…In our earlier work [29] we found that the term K abαβ (P, p, q) in brackets is negligible, so that now we ignore it as done in Ref. [41].…”

Section: B Normalization Condition For the B-s Wave Functionmentioning

confidence: 99%

Study on possible molecular states composed of ΛcD¯ (
Ke
¹
,
Li
²
,
Liu
³

et al. 2020
Phys. Rev. D
20
1
21
0
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Recently a vector charmonium-like state Y (4626) was observed in the portal of D + s D s1 (2536) − . It intrigues an active discussion on the structure of the resonance because it has obvious significance for gaining a better understanding on its hadronic structure with suitable inner constituents. It indeed concerns the general theoretical framework about possible structures of exotic states. Since the mass of Y (4626) is slightly above the production threshold of D + sDs1 (2536) − whereas below that of D * sD s1 (2536) with the same quark contents as that of D + sD s1 (2536) − , it is natural to conjecture Y (4626) to be a molecular state of D * sDs1 (2536), as suggested in literature. Confirming or negating this allegation would shed light on the goal we concern. We calculate the mass spectrum of a system composed of a vector meson and an axial vector i.e. D * sD s1 (2536) within the framework of the Bethe-Salpeter equations. Our numerical results show that the dimensionless parameter λ in the form factor which is phenomenologically introduced to every vertex, is far beyond the reasonable range for inducing an even very small binding energy ∆E. It implies that the D * sDs1 (2536) system cannot exist in the nature as a hadronic molecule in this model, so that we may not think the resonance Y (4626) to be a bound state of D * sD s1 (2536), but something else, for example a tetraquark and etc.

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“…In Refs. [29][30][31][32] the B-S equation was used to study the spectra of the mesonmeson molecular states and then deal with their decays. The method was extended to explore some other systems in our early papers [17][18][19]33].…”

Section: The Bethe-salpeter Formalismmentioning

confidence: 99%

Possible Molecular States of $D^{()}D^{()}$ and $B^{()}B^{()}$ within the Bethe-Salpeter framework

Ke,

Liu,

2021

Preprint

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Recently the LHCb collaboration reported a new exotic state T + cc which possesses ccū d flavor structure. Since its mass is very close to the threshold of D 0 D * + (or D * 0 D + ) and its width is very narrow, it is inclined to conjecture that T + cc is a molecular state of D 0 D * + (or D * 0 D + ). In this paper we study the possible Molecular structures of D ( * ) D ( * ) and B ( * ) B ( * ) within the Bethe-Salpeter (B-S) framework. We employ one boson exchange model to stand the interaction kernels in the B-S equations. With reasonable input parameters we find the isospin eigenstate 1 √ 2 (D 0 D * + − D * 0 D + ) (J P = 1 + ) constitutes a solution, which supports the ansatz of T + cc being a molecular state of D 0 D * + (or D * 0 D + ). With the same parameters we also find that the isospin-1 state 1 √ 2 (D * 0 D * + +D * 0 D * + ) (J P = 0 + ) can exist. Moreover, we also study the systems of B ( * ) B ( * ) and their counterparts exist as possible molecular states. Consistency of theoretical computations based on such states with the data of the future experiments may consolidate the molecular structure of the exotic state T + cc .

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DKmolecule in the Bethe-Salpeter equation approach in the heavy quark limit

Cited by 12 publications

References 64 publications

Possible open-charmed pentaquark molecule $$\varOmega _c(3188)$$ Ω c ( 3188 ) – the

Possible open-charmed pentaquark molecule $$\varOmega _c(3188)$$ Ω c ( 3188 ) – the

Study on possible molecular states composed of ΛcD¯ (
Ke
¹
,
Li
²
,
Liu
³

et al. 2020
Phys. Rev. D
20
1
21
0
View full text Add to dashboard Cite

Possible Molecular States of $D^{()}D^{()}$ and $B^{()}B^{()}$ within the Bethe-Salpeter framework

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DKmolecule in the Bethe-Salpeter equation approach in the heavy quark limit

Cited by 12 publications

References 64 publications

Possible open-charmed pentaquark molecule $$\varOmega _c(3188)$$ Ω c ( 3188 ) – the

Possible open-charmed pentaquark molecule $$\varOmega _c(3188)$$ Ω c ( 3188 ) – the

Study on possible molecular states composed of ΛcD¯ ( Ke1, Li2, Liu3 et al. 2020Phys. Rev. D201210View full textAdd to dashboardCite

Possible Molecular States of $D^{(*)}D^{(*)}$ and $B^{(*)}B^{(*)}$ within the Bethe-Salpeter framework

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Study on possible molecular states composed of ΛcD¯ (
Ke
¹
,
Li
²
,
Liu
³

et al. 2020
Phys. Rev. D
20
1
21
0
View full text Add to dashboard Cite

Possible Molecular States of $D^{()}D^{()}$ and $B^{()}B^{()}$ within the Bethe-Salpeter framework