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Chen, H. X., & Oset, E. (2013). pi pi interaction in the rho channel in finite volume. Phys. Rev. D, 87(1), 016014–15pp.
Abstract: The aim of this paper is to investigate an efficient strategy that allows one to obtain pi pi phase shifts and rho meson properties from QCD lattice data with high precision. For this purpose we evaluate the levels of the pi pi system in the rho channel in finite volume using chiral unitary theory. We investigate the dependence on the pi mass and compare this with other approaches which use QCD lattice calculations and effective theories. We also illustrate the errors induced by using the conventional Luscher approach instead of a more accurate one that was recently developed that takes into account exactly the relativistic two-meson propagators. Finally, we make use of this latter approach to solve the inverse problem, getting pi pi phase shifts from “synthetic” lattice data, providing an optimal strategy and showing which accuracy is needed in these data to obtain the rho properties with a desired accuracy.
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Chen, H. X., Geng, L. S., Liang, W. H., Oset, E., Wang, E., & Xie, J. J. (2016). Looking for a hidden-charm pentaquark state with strangeness S =-1 from Xi(-)(b) decay into J/Psi K- Lambda. Phys. Rev. C, 93(6), 065203–9pp.
Abstract: Assuming that the recently observed hidden-charm pentaquark state, P-c(4450), is of molecular nature as predicted in the unitary approach, we propose to study the decay of Xi(-)(b) -> J/psi K-Lambda to search for the strangeness counterpart of the P-c(4450). There are three ingredients in the decay mechanism: the weak decay mechanism, the hadronization mechanism, and the final state interactions in the meson-baryon system of strangeness S = -2 and isospin I = 1/2 and of the J/psi Lambda. All these have been tested extensively. As a result, we provide a genuine prediction of the invariant mass distributions where a strangeness hidden-charm pentaquark state, the counterpart of the P-c(4450), can be clearly seen. The decay rate is estimated to be of similarmagnitude as the Lambda(0)(b) -> J/psi K(-)p measured by the LHCb Collaboration.
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Chen, H. X., Dmitrasinovic, V., & Hosaka, A. (2012). Baryon fields with U-L(3) x U-R(3) chiral symmetry. IV. Interactions with chiral (8,1) circle plus (1,8) vector and axial-vector mesons and anomalous magnetic moments. Phys. Rev. C, 85(5), 055205.
Abstract: We construct all SUL(3) x SUR(3) chirally invariant anomalous magnetic, i.e., involving a Pauli tensor and one-derivative, interactions of one chiral [(8, 1) circle plus (1, 8)] meson fieldwith chiral [(6, 3) circle plus (3, 6)], [(3, (3) over bar) circle plus ((3) over bar), 3], and [(8, 1) circle plus (1, 8)] baryon fields and their “mirror” images. We find strong chiral selection rules; e. g., there is only one off-diagonal chirally symmetric anomalous magnetic interaction between J = 1/2 fields belonging to the [(6, 3) circle plus (3, 6)] and the [(3, (3) over bar) circle plus ((3) over bar), 3] chiral multiplets. We also study the chiral selection rules for the anomalous magnetic interactions of the [(3, (3) over bar) circle plus ((3) over bar), 3] and the [(8, 1) circle plus (1, 8)] baryon fields. Again, no diagonal and only one off-diagonal chiral SUL(3) x SUR(3) interaction of this type is allowed, that turns out also to conserve the U-A(1) symmetry. We calculate the F/D ratios for the baryons' anomalous magnetic moments predicted by these interactions in the SU(3) symmetry limit and find that only the [(6, 3) circle plus (3, 6)]-[(3, (3) over bar) circle plus ((3) over bar), 3] one reproduces F/D = 1/3, in close proximity to the value extracted from experiment.
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