Possible<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>molecular structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>B</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:mrow><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>5725</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>in the Be

Gao, Feng; Xie, Zhen-Xing; Guo, Xin-Heng

doi:10.1103/physrevd.83.016003

Cited by 27 publications

(66 citation statements)

References 50 publications

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“…The unitary chiral approach deals with the divergence in the so-called on-shell factorization approach [3,20,24]. In the Bethe-Salpeter technique, this divergence can be avoided which will be shown below [25][26][27][28]. Besides, we solve Bethe-Salpeter amplitude from the Bethe-Salpeter equation, while the scattering amplitude is solved in the unitary chiral approach.…”

Section: Introductionmentioning

confidence: 99%

“…Besides, we solve Bethe-Salpeter amplitude from the Bethe-Salpeter equation, while the scattering amplitude is solved in the unitary chiral approach. The dependence of the Bethe-Salpeter amplitude on the momentum transform reveals the structure of the bound states [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

“…We assume that the bound state exists and its mass is M. We denote it by Λ * . In this picture, the Bethe-Salpeter amplitude can be defined as [23,[25][26][27][28][29][30][31]:…”

Section: Introductionmentioning

confidence: 99%

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Studying the bound state of the K−p system in the Bethe-Salpeter formalism

2017

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We study the s-wave kaon-nucleon bound state with the strangeness S = −1 in the BetheSalpeter formalism in the ladder and instantaneous approximations. We solve the Bethe-Salpeter equation of the bound state and obtain the Bethe-Salpeter amplitude. It is shown that the K − p bound state exists in this formalism. We also study the decay width of the bound state based on the Bethe-Salpeter techniques. The mass of this bound state is 1422 MeV and its decay width is obviously smaller than that of Λ(1405). These results indicate that there may be some other structures in the observed resonance. *

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Studying the bound state of the K−p system in the Bethe-Salpeter formalism

2017

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“…[32,33] the isospin factor can be obtained. For the B 0 π + molecule, the corresponding isospin factor C I.I 3 appearing in Eqs.…”

Section: The Bethe-salpeter (B-s) Equation For 0 + Molecular Statementioning

confidence: 99%

The possible $$B\pi $$ B π molecular state and its radiative decay

Gao

2017

Eur. Phys. J. C

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Recently, several exotic bosons have been confirmed as multi-quark states. However, there are violent disputes about their inner structures, namely if they are molecular states or tetraquarks, or even mixtures of the two structures. It would be interesting to search experimentally for non-strange four-quark states with open charm or bottom which are lighter than c or b . Reasonable arguments indicate that they are good candidates of pure molecular states Dπ or Bπ because pions are the lightest boson. Both Bπ and Dπ bound states do not decay via the strong interaction. The Bπ molecule may decay into B * by radiating a photon, whereas the Dπ molecule can only decay via weak interaction. In this paper we explore the mass spectra of the Bπ molecular states by solving the corresponding instantaneous B-S equation. Then the rate of radiative decay | 3 2 , 1 2 → B * γ is calculated and our numerical results indicate that the processes can be measured by the future experiment. We also briefly discuss the Dπ case. Due to the constraint of the final state phase space it can only decay via weak interaction.

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“…We use the central [58]. The coupling constant g K * K π is 4.61 [59]. About the coupling constants g B * Bπ , g K * Bs B and g B * Bs K one cannot fix them from the corresponding physical processes at present but it is natural to conjecture that they would be equal to g D * Dπ , g K * Ds D and g D * Ds K respectively under the heavy quark limit and then they are set as 17.9 [59], 3.787 [60] and 2.02 [61] respectively.…”

Section: For X (5568) → B S π +mentioning

confidence: 99%

Estimating decay rate of $$X^{{\pm }}(5568)\rightarrow B_s\pi ^{{\pm }}$$ X ± ( 5568 ) → B

2018

Eur. Phys. J. C

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Discovery of X (5568) brings up a tremendous interest because it is very special, i.e. made of four different flavors. The D0 collaboration claimed that they observed this resonance through portal X (5568) → B s π , but unfortunately, later the LHCb, CMS, CDF and ATLAS collaborations' reports indicate that no such state was found. Almost on the Eve of 2017, the D0 collaboration reconfirmed existence of X (5568) via the semileptonic decay of B s . To further reveal the discrepancy, supposing X (5568) as a molecular state, we calculate the decay rate of X (5568) → B s π + in an extended light front model. Numerically, the theoretically predicted decay width of (X (5568) → B s π + ) is 20.28 MeV which is consistent with the result of the D0 collaboration ( = 18.6 +7.9 −6.1 (stat) +3.5 −3.8 (syst) MeV). Since the resonance is narrow, signals might be drowned in a messy background. In analog, two open-charm molecular states DK and B D named as X a and X b , could be in the same situation. The rates of X a → D s π 0 and X b → B c π 0 are estimated as about 30 and 20 MeV respectively. We suggest the experimental collaborations round the world to search for these two modes and accurate measurements may provide us with valuable information.

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PossibleBK¯molecular structure ofBs0*(5725)in the Be

Cited by 27 publications

References 50 publications

Studying the bound state of the K−p system in the Bethe-Salpeter formalism

Studying the bound state of the K−p system in the Bethe-Salpeter formalism

The possible $$B\pi $$ B π molecular state and its radiative decay

Estimating decay rate of $$X^{{\pm }}(5568)\rightarrow B_s\pi ^{{\pm }}$$ X ± ( 5568 ) → B

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