Bayar, M., Liang, W. H., Uchino, T., & Xiao, C. W. (2014). Description of rho(1700) as a rho Kappa(sic) system with the fixed-center approximation. Eur. Phys. J. A, 50(4), 67–10pp.
Abstract: We study the system with the aim to describe the rho(1700) resonance. The chiral unitary approach has achieved success in the description of systems of the light hadron sector. With this method, the system in the isospin sector I = 0, is found to be a dominant component of the f (0)(980) resonance. Therefore, by regarding the system as a cluster, the f (0)(980) resonance, we evaluate the system applying the fixed-center approximation to the Faddeev equations. We construct the rho K unitarized amplitude using the chiral unitary approach. As a result, we find a peak in the three-body amplitude around 1732 MeV and a width of about 161 MeV. The effect of the width of the rho and f (0)(980) is also discussed. We associate this peak to the rho(1700) which has a mass of 1720 +/- 20MeV and a width of 250 +/- 100 MeV.
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Bayar, M., Fernandez-Soler, P., Sun, Z. F., & Oset, E. (2016). States of rho B*(B)over-bar* with J=3 within the fixed center approximation to Faddeev equations. Eur. Phys. J. A, 52(4), 106–8pp.
Abstract: In this work we stu dy the rho B*(B) over bar* three-body system solving the Faddeev equations in the fixed center approximation. We assume the B*B* system forming a cluster, and in terms of the two-body rho B* unitarized scattering amplitudes in the local hidden gauge approach we find a new I(J(PC)) = 1(3(--)) state. The mass of the new state corresponds to a two-particle invariant mass of the rho B* system close to the resonant energy of the B-2(*) (5747), indicating that the role of this J = 2 resonance is important in the dynamical generation of the new state.
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Ikeno, N., Bayar, M., & Oset, E. (2021). Combined theoretical study of the D+ -> pi(+) eta eta and D+ -> pi(+)pi(0) eta reactions. Eur. Phys. J. C, 81(4), 377–10pp.
Abstract: We study the D+ -> pi(+) eta eta and D+ -> pi(+)pi(0) eta reactions, which are single Cabibbo suppressed and can proceed both through internal and external emission. The primary mechanisms at quark level are considered, followed by hadronization to produce three mesons in the D+ decay, and after that the final state interaction of these mesons leads to the production of the a(0)(980) resonance, seen in the pi(+)eta, pi(0)eta mass distributions. The theory has three unknown parameters to determine the shape of the distributions and the ratio between the D+ -> pi(+) eta eta and D+ -> pi(+)pi(0) eta rates. This ratio restricts much the sets of parameters but there is still much freedom leading to different shapes in the mass distributions. We call for a measurement of these mass distributions that will settle the reaction mechanism, while at the same time provide relevant information on the way that the a(0)(980) resonance is produced in the reactions.
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Martinez Torres, A., Bayar, M., Jido, D., & Oset, E. (2012). Strategy to find the two Lambda (1405) states from lattice QCD simulations. Phys. Rev. C, 86(5), 055201–13pp.
Abstract: Theoretical studies within the chiral unitary approach, and recent experiments, have provided evidence of the existence of two isoscalar states in the region of the Lambda(1405). In this paper we use the same chiral approach to generate energy levels in a finite box. In a second step, assuming that these energies correspond to lattice QCD results, we devise the best strategy of analysis to obtain the two states in the infinite-volume case, with sufficient precision to distinguish them. We find out that by using energy levels obtained with asymmetric boxes and/or with a moving frame, with reasonable errors in the energies, one has a successful scheme to get the two Lambda(1405) poles.
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Bayar, M., Ren, X. L., & Oset, E. (2015). States of rho D*(D)over-bar* with J=3 within the fixed center approximation to the Faddeev equations. Eur. Phys. J. A, 51(5), 61–9pp.
Abstract: We study the interaction of rho, D* and (D) over bar* with spins aligned using the fixed center approximation to the Faddeev equations. We select a cluster of D*(D) over bar*, which is found to be bound in I = 0 and can be associated to the X(3915), and let the rho meson orbit around the D* and (D) over bar*. In this case we find an I = 1 state with mass around 4340 MeV and narrow width of about 50MeV. We also investigate the case with a cluster of rho D* and let the (D) over bar * orbit around the system of the two states. The rho D* cluster is also found to bind and leads to the D-2*(2460) state. The addition of the extra (D) over bar* produces further binding and we find, with admitted uncertainties, a state of I = 0 around 4000MeV, and a less bound narrow state with I = 1 around 4200 MeV.
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