Plausible explanation for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>Δ</mml:mi><mml:mrow><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2000</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>puzzle

Xie, Ju-Jun; Torres, A. Martínez; Oset, E.; González, P.

doi:10.1103/physrevc.83.055204

Cited by 49 publications

(68 citation statements)

References 48 publications

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“…There is substantial work to rely on this model. For instance, the three bodyKN K scattering amplitude [24] was calculated using the FCA to the Faddeev equations and the results of this work are in good agreement with the other theoretical works [25,26] evaluated using variational and Faddeev approaches, respectively. Besides, in [27], using the same model, the authors give a plausible explanation for the ∆ 5 2 + (2000) puzzle.…”

Section: Introductionsupporting

confidence: 73%

“…For instance, the three bodyKN K scattering amplitude [24] was calculated using the FCA to the Faddeev equations and the results of this work are in good agreement with the other theoretical works [25,26] evaluated using variational and Faddeev approaches, respectively. Besides, in [27], using the same model, the authors give a plausible explanation for the ∆ 5 2 + (2000) puzzle. As important as to know the success of the FCA, it is to know the limitation of this procedure, and it was found in [28] that the approximation collapses for the study of resonant states, where there is plenty of phase space for the excitation of intermediate states.…”

Section: Introductionsupporting

confidence: 73%

“…We also calculated theKN N system [21,22] for the S = 0 and S = 1 case, using the Fixed Center Approximation (FCA) to the Faddeev equations taking into account πΣN channel explicitly and also including the charge exchange diagrams. We get a binding of [26][27][28][29][30][31][32][33][34][35] MeV for S = 0 while around 9 MeV for the S = 1 case. The widths are in both cases around 50 MeV.…”

Section: Introductionmentioning

confidence: 99%

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K¯NNabsorption within the framework of the fixed-center approximation to Faddeev equations

Bayar

Oset

2013

Phys. Rev. C

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We present a method to evaluate theK absorption width in the boundKN N system. Most calculations of this system ignore this channel and only consider theKN → πΣ conversion. Other works make a qualitative calculation using perturbative methods. Since the Λ(1405) resonance is playing a role in the process, the same resonance is changed by the presence of the absorption channels and we find that a full nonperturbative calculation is called for, which we present here. We employ the Fixed Center Approximation to Faddeev equations to account forK rescattering on the (N N ) cluster and we find that the width of the states found previously for S = 0 and S = 1 increases by about 30 MeV due to theKN N absorption, to a total width of about 80 MeV.

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Section: Introductionsupporting

confidence: 73%

Section: Introductionsupporting

confidence: 73%

Section: Introductionmentioning

confidence: 99%

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K¯NNabsorption within the framework of the fixed-center approximation to Faddeev equations

Bayar

Oset

2013

Phys. Rev. C

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“…The FCA assumes that there is a cluster of two particles, in this case the DK, which forms the D * s0 (2317) [15][16][17][18][19], and the third particle rescatters multiply with the two particles of the cluster. Direct comparison of the results for the N KK system with the FCA [20], with a variational method [21], or full Faddeev equations [22], confirms the accuracy of the FCA to deal with these problems when we have one couple that clearly binds, like in this case where theKN gives rise to the Λ(1405). The application of the FCA to obtain the K − d scattering length [23] also leads to results comparable to those obtained using a different field theoretical approach [24].…”

Section: Introductionmentioning

confidence: 97%

Binding of the BDD¯ and BDD systems

et al. 2017

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We study theoretically the BDD and BDD systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the Fixed Center Approximation to the Faddeev equations which considers the interaction of a D orD particle with the components of a BD cluster, previously proved to form a bound state. We find an I(J P ) = 1/2(0 − ) bound state for the BDD system at an energy around 8925 − 8985 MeV within uncertainties, which would correspond to a bottom-hidden-charm meson. In contrast, the BDD system, which would be bottom-double-charm and hence manifestly exotic, we have found hints of a bound state in the energy region 8935 − 8985 MeV, but the results are not stable under the uncertainties of the model, and we cannot assure, neither rule out, the possibility of a BDD threebody state.

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“…The study of exotic hadrons is another interesting subject [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. Hadrons having exotic structures are called exotica, such as hybrid states, glueballs, tetraquark states and molecular states, etc.…”

Section: Introductionmentioning

confidence: 99%

The “closed” chiral symmetry and its application to tetraquark

Chen

2012

Eur. Phys. J. C

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We investigate the chiral (flavor) structure of tetraquarks, and study chiral transformation properties of the "non-exotic" [(3, 3) ⊕ (3,3)] and [(8, 1) ⊕ (1, 8)] tetraquark chiral multiplets. We find that as long as this kind of tetraquark states contains one quark and one antiquark having the same chirality, such as q L q LqLqR + q R q RqRqL , they transform in the same way as the lowest levelqq chiral multiplets under chiral transformations. There is only one [(3, 3) ⊕ (3,3)] chiral multiplet whose quark-antiquark pairs all have the opposite chirality (q L q LqRqR + q R q RqLqL ), and it transforms differently from others. Based on these studies, we construct local tetraquark currents belonging to the "non-exotic" chiral multiplet [(3, 3) ⊕ (3,3)] and having quantum numbers J P C = 1 −+ .

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Plausible explanation for theΔ5/2+(2000)puzzle

Cited by 49 publications

References 48 publications

K¯NNabsorption within the framework of the fixed-center approximation to Faddeev equations

K¯NNabsorption within the framework of the fixed-center approximation to Faddeev equations

Binding of the BDD¯ and BDD systems

The “closed” chiral symmetry and its application to tetraquark

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