Sun, Z. F., & Vicente Vacas, M. J. (2016). Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme. Phys. Rev. D, 93(9), 094002–8pp.
Abstract: In this work, we investigate the mass corrections of the doubly charmed baryons up to (NLO)-L-2 in the extended-on-mass-shell (EOMS) renormalization scheme, comparing with the results of heavy baryon chiral perturbation theory. We find that the terms from the heavy baryon approach are a subset of those obtained in the EOMS scheme. By fitting the lattice data, we can determine the parameters (m) over tilde, alpha, c(1) and c(7) from the Lagrangian, while in the heavy baryon approach no information on c(1) can be obtained from the baryons mass. Correspondingly, the masses of m(Xi cc) and m(Omega cc) are predicted, in the EOMS scheme, extrapolating the results from different values of the charm quark and the pion masses of the lattice QCD calculations.
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Hiller Blin, A. N., Ledwig, T., & Vicente Vacas, M. J. (2016). Delta(1232) resonance in the (gamma)over-right-arrowp -> p pi(0) reaction at threshold. Phys. Rev. D, 93(9), 094018–19pp.
Abstract: We calculate the neutral pion photoproduction on the proton near threshold in covariant baryon chiral perturbation theory, including the Delta(1232) resonance as an explicit degree of freedom, up to chiral order p(7/2) in the delta counting. We compare our results with recent low-energy data from the Mainz Microtron for angular distributions and photon asymmetries. The convergence of the chiral series of the covariant approach is found to improve substantially with the inclusion of the Delta(1232) resonance.
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Gutsche, T., Hiller Blin, A. N., Kovalenko, S., Kuleshov, S., Lyubovitskij, V. E., & Vicente Vacas, M. J. (2017). CP-violating decays of the pseudoscalars eta and eta' and their connection to the electric dipole moment of the neutron. Phys. Rev. D, 95(3), 036022–9pp.
Abstract: Using the present upper bound on the neutron electric dipole moment, we give an estimate for the upper limit of the CP-violating couplings of the eta(eta') to the nucleon. Using this result, we then derive constraints on the CP-violating eta(eta')pi pi couplings, which define the two-pion CP-violating decays of the eta and eta' mesons. Our results are relevant for the running and planned measurements of rare decays of the. eta and eta' mesons by the GlueX Collaboration at JLab and the LHCb Collaboration at CERN.
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Yao, D. L., Alvarez-Ruso, L., & Vicente Vacas, M. J. (2017). Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory. Phys. Rev. D, 96(11), 116022–11pp.
Abstract: We calculate the nucleon axial form factor up to the leading one-loop order in a covariant chiral effective field theory with the Delta(1232) resonance as an explicit degree of freedom. We fit the axial form factor to the latest lattice QCD data and pin down the relevant low-energy constants. The lattice QCD data, for various pion masses below 400 MeV, can be well described up to a momentum transfer of similar to 0.6 GeV. The Delta(1232) loops contribute significantly to this agreement. Furthermore, we extract the axial charge and radius based on the fitted values of the low-energy constants. The results are g(A) = 1.237(74) and < r(A)(2)> = 0.263(38) fm(2). The obtained coupling g(A) is consistent with the experimental value if the uncertainty is taken into account. The axial radius is below but in agreement with the recent extraction from neutrino quasielastic scattering data on deuterium, which has large error bars. Up to our current working accuracy, r(A) is predicted only at leading order, i.e., the one-loop level. A more precise determination might need terms of O(p(5)).
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Hiller Blin, A. N., Sun, Z. F., & Vicente Vacas, M. J. (2018). Electromagnetic form factors of spin-1/2 doubly charmed baryons. Phys. Rev. D, 98(5), 054025–13pp.
Abstract: We study the electromagnetic form factors of the doubly charmed baryons, using covariant chiral perturbation theory within the extended on-mass-shell scheme. Vector-meson contributions are also taken into account. We present results for the baryon magnetic moments, charge, and magnetic radii. While some of the chiral Lagrangian parameters could be set to values determined in previous works, the available lattice results for Xi(+)(CC) and Omega(+)(CC) only allow for robust constraints on the low-energy constant combination, c(89) (= -1/3 c(8) + 4c(9)). The couplings of the doubly charmed baryons to the vector mesons have been estimated assuming the Okubo-Zweig-Iizuka rule. We also give the expressions for the form factors of the double-beauty baryons considering the masses predicted in the framework of quark models. A comparison of our results with those obtained in heavy baryon chiral perturbation theory at the same chiral order is made.
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