Abstract
We present the spectrum of ground state heavy-light mesons. Our analysis is provided by a symmetry preserving Schwinger-Dyson Bethe-Salpeter Equation (SDBSE) approach of a vector-vector contact interaction model. This model offers a simple-to-implement alternative to perform exploratory studies of QCD. Despite the simplicity of this model, our results for D are in agreement within 9%, and for B within 2% when we compare them with experimental data.
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References
Jain, P., Munczek, H.J.: q anti-q bound states in the Bethe-Salpeter formalism. Phys. Rev. D 48, 5403 (1993)
Roberts, C.D., Williams, A.G.: Dyson-Schwinger equations and their application to hadronic physics. Prog. Part. Nucl. Phys. 33, 477 (1994)
Bashir, A., Chang, L., Cloet, I.C., El-Bennich, B., Liu, Y.X., Roberts, C.D., Tandy, P.C.: Collective perspective on advances in Dyson-Schwinger Equation QCD. Commun. Theor. Phys. 58, 79 (2012)
Maris, P., Tandy, P.C.: The pi, K+, and K0 electromagnetic form-factors. Phys. Rev. C 62, 055204 (2000)
Chen J., Ding, M., Chang, L. Liu, Y.X.: Two photon transition form factor of \(\bar{c}c \) Quarkonia. Phys. Rev. D 95(1), 016010 (2017)
Nguyen, T., Souchlas, N.A., Tandy, P.C.: Soft and Hard scale QCD dynamics in mesons. AIP Conf. Proc. 1361, 142 (2011)
Fischer, C.S., Kubrak, S., Williams, R.: Spectra of heavy mesons in the Bethe-Salpeter approach. Eur. Phys. J. A 51, 10 (2015)
Gómez, M., Rocha, T., Hilger, Krassnigg, A.: Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of the \(B_c^*\) meson mass. Phys. Rev. D 93(7), 074010 (2016)
Hilger, T., Gómez-Rocha, M., Krassnigg A., Lucha, W.: Aspects of open-flavour mesons in a comprehensive DSBSE study. Eur. Phys. J. A 53(10), 213 (2017)
Gutierrez-Guerrero, L.X., Bashir, A., Cloet, I.C., Roberts, C.D.: Pion form factor from a contact interaction. Phys. Rev. C 81, 065202 (2010)
Roberts, H.L.L., Roberts, C.D., Bashir, A., Gutierrez-Guerrero, L.X., Tandy, P.C.: Abelian anomaly and neutral pion production. Phys. Rev. C 82, 065202 (2010)
Roberts, H.L.L., Chang, L., Cloet, I.C., Roberts, C.D.: Masses of ground and excited-state hadrons. Few Body Syst. 51, 1 (2011)
Roberts, H.L.L., Bashir, A., Gutierrez-Guerrero, L.X., Roberts, C.D., Wilson, D.J.: pi- and rho-mesons, and their diquark partners, from a contact interaction. Phys. Rev. C 83, 065206 (2011)
Chen, C., Chang, L., Roberts, C.D., Wan, S., Wilson, D.J.: Spectrum of hadrons with strangeness. Few Body Syst. 53, 293 (2012)
Bedolla, M.A., Cobos-Martínez J.J., Bashir, A.: Charmonia in a contact interaction. Phys. Rev. D 92(5), 054031 (2015)
Bedolla, M.A., Raya, K., Cobos-Martínez J.J., Bashir, A.: \(\eta _c\) elastic and transition form factors: contact interaction and algebraic model. Phys. Rev. D 93(9), 094025 (2016)
Raya, K., Bedolla, M.A., Cobos-Martínez, J.J., Bashir, A.: Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors. Few Body Syst. 59(6), 133 (2018)
Boucaud, P., Leroy, J.P., Yaouanc, A.L., Micheli, J., Pene, O., Rodriguez-Quintero, J.: The Infrared Behaviour of the pure Yang-Mills green functions. Few Body Syst. 53, 387 (2012)
Binosi, D., Mezrag, C., Papavassiliou, J., Roberts, C.D., Rodriguez-Quintero, J.: Process-independent strong running coupling. Phys. Rev. D 96(5), 054026 (2017)
Deur, A., Brodsky, S.J., de Teramond, G.F.: The QCD running coupling. Prog. Part. Nucl. Phys. 90, 1 (2016)
Ebert, D., Feldmann, T., Reinhardt, H.: Extended NJL model for light and heavy mesons without q - anti-q thresholds. Phys. Lett. B 388, 154 (1996)
Roberts, C.D.: Hadron properties and Dyson-Schwinger equations. Prog. Part. Nucl. Phys. 61, 50 (2008)
Patrignani, C., et al. [Particle Data Group].: Review of particle physics. Chin. Phys. C 40(10), 100001 (2016)
Bedolla, M.A., Santopinto, E.: Heavy-light mesons spectra in a contact interaction. arXiv:1810.04391 [hep-ph]
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Bedolla, M.A., Santopinto, E. (2020). Meson Studies with a Contact Interaction. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_118
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DOI: https://doi.org/10.1007/978-3-030-32357-8_118
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