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Dai, L. R., Roca, L., & Oset, E. (2019). tau decay into a pseudoscalar and an axial-vector meson. Phys. Rev. D, 99(9), 096003–14pp.
Abstract: We study theoretically the decay tau(-) -> nu(tau)P(-)A, with P- a pi(-) or K- and A an axial-vector resonance b(1)(1235), h(1) (1170), h(1) (1380), a(1) (1260), f(1) (1285) or any of the two poles of the K-1 (1270). The process proceeds through a triangle mechanism where a vector meson pair is first produced from the weak current and then one of the vectors produces two pseudoscalars, one of which reinteracts with the other vector to produce the axial resonance. For the initial weak hadronic production we use a recent formalism to account for the hadronization after the initial quark-antiquark pair produced from the weak current, which explicitly filters G-parity states and obtain easy analytic formulas after working out the angular momentum algebra. The model also takes advantage of the chiral unitary theories to evaluate the vector-pseudoscalar (VP) amplitudes, where the axial-vector resonances were obtained as dynamically generated from the vector-pseudoscalar interaction. We make predictions for invariant mass distribution and branching ratios for the channels considered.
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Dai, L. R., Song, J., & Oset, E. (2023). Evolution of genuine states to molecular ones: The Tcc(3875) case. Phys. Lett. B, 846, 138200–6pp.
Abstract: We address the issue of the compositeness of hadronic states and demonstrate that starting with a genuine state of nonmolecular nature, but which couples to some meson-meson component to be observable in that channel, if that state is blamed for a bound state appearing below the meson-meson threshold it gets dressed with a meson cloud and it becomes pure molecular in the limit case of zero binding. We discuss the issue of the scales, and see that if the genuine state has a mass very close to threshold, the theorem holds, but the molecular probability goes to unity in a very narrow range of energies close to threshold. The conclusion is that the value of the binding does not determine the compositeness of a state. However, in such extreme cases we see that the scattering length gets progressively smaller and the effective range grows indefinitely. In other words, the binding energy does not determine the compositeness of a state, but the additional information of the scattering length and effective range can provide an answer. We also show that the consideration of a direct attractive interaction between the mesons in addition to having a genuine component, increases the compositeness of the state. Explicit calculations are done for the Tcc(3875) state, but are easily generalized to any hadronic system.
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Dai, L. R., Toledo, G., & Oset, E. (2020). Searching for a D(D)over-bar bound state with the psi(3770) -> gamma D-0(D)over-bar(0) decay. Eur. Phys. J. C, 80(6), 510–8pp.
Abstract: We perform a calculation of the mass distribution in the psi(3770) -> gamma D (D) over bar decay, studying both the D+D- and D-0(D) over bar (0) decays. The electromagnetic interaction is such that the tree level amplitude is null for the neutral channel, which forces the psi(3770) -> gamma D-0(D) over bar (0) transition to go through a loop involving the D+D- -> D-0(D) over bar (0) scattering amplitude. We take the results for this amplitude from a theoretical model that predicts a D (D) over bar bound state and find a D-0(D) over bar (0) mass distribution in the decay drastically different than phase space. The rates obtained are relatively large and the experiment is easily feasible in the present BESIII facility. The performance of this experiment could provide an answer to the issue of this much searched for state, which is the analogue of the f(0)(980) resonance.
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Dai, L. R., Wang, G. Y., Chen, X., Wang, E., Oset, E., & Li, D. M. (2019). The B+ -> J/phi omega K+ reaction and D*(D)over-bar* molecular states. Eur. Phys. J. A, 55(3), 36–7pp.
Abstract: We study the B+J/K+ reaction, and show that it is driven by the presence of two resonances, the X(3940) and X(3930), that are of molecular nature and couple most strongly to D*D*, but also to J/. Because of that, in the J/ mass distribution we find a peak related to the excitation of the resonances and a cusp with large strength at the D*D* threshold.
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Dai, L. R., Xie, J. J., & Oset, E. (2016). B-0 -> D-0 D-0 K-0, B+ -> D-0 D-0 K+, and the scalar DD bound state. Eur. Phys. J. C, 76(3), 121–9pp.
Abstract: We study the B-0 decay to D-0 D-0 K-0 based on the chiral unitary approach, which generates the X(3720) resonance, and we make predictions for the D D invariant mass distribution. From the shape of the distribution, the existence of the resonance below threshold could be induced. We also predict the rate of production of the X(3720) resonance to the D D mass distribution with no free parameters.
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