Elastic meson form factors in a unified scheme

Authors

  • Roger Hernández Pinto Universidad Autónoma de Sinaloa
  • Marco Bedolla-Hernandez
  • Laura Gutierrez-Guerrero
  • Adnan Bashir

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308106

Keywords:

Quantum chromodynamics, mesons, elastic form factors

Abstract

The extraction of elastic form factors for mesons in the context of the contact interaction model is revisited in this manuscript. The dressed masses of quarks and mesons are determined through the gap and Bethe-Salpeter equations. The generic elastic scattering process $M\gamma \to M$ is studied for the meson $M$ formed of two differently flavored quarks. The charge radii of scalar, pseudoscalar, vector and axial-vector mesons are also extracted by virtue of explicit calculation of the meson elastic form factors.

References

G. P. Lepage and S. J. Brodsky, Exclusive Processes in Quantum Chromodynamics: Evolution Equations for Hadronic Wave Functions and the Form-Factors of Mesons, Phys. Lett. B 87(1979) 359, https://doi.org/10.1016/0370-2693(79)90554-9.

L. X. Gutierrez-Guerrero, A. Bashir, I. C. Cloet and C. D. Roberts, Pion form factor from a contact interaction, Phys. Rev. C 81 (2010) 065202, https://doi.org/10.1103/PhysRevC.81.065202. [arXiv:1002.1968 [nuclth]].

G. Krein, C. D. Roberts and A. G. Williams, On the implications of confinement, Int. J. Mod. Phys. A 7 (1992) 5607, https://doi.org/10.1142/S0217751X92002544.

C. D. Roberts, Hadron Properties and Dyson-Schwinger Equations, Prog. Part. Nucl. Phys. 61 (2008) 50, https://doi.org/10.1016/j.ppnp.2007.12.034. [arXiv:0712.0633 [nucl-th]].

E. E. Salpeter and H. A. Bethe, A Relativistic equation for bound state problems, Phys. Rev. 84 (1951) 1232, https://doi.org/10.1103/PhysRev.84.1232.

F. Gao, S. X. Qin, C. D. Roberts and J. Rodriguez Quintero, Locating the Gribov horizon, Phys. Rev. D 97 (2018) 034010, https://doi.org/10.1103/PhysRevD.97.034010. [arXiv:1706.04681 [hep-ph]].

C. Chen, L. Chang, C. D. Roberts, S. Wan and D. J. Wilson, Spectrum of hadrons with strangeness, Few Body Syst. 53 (2012) 293, https://doi.org/10.1007/s00601-012-0466-3. [arXiv:1204.2553 [nucl-th]].

S. x. Qin, L. Chang, Y. x. Liu, C. D. Roberts and D. J. Wilson, Investigation of rainbow-ladder truncation for excited and exotic mesons, Phys. Rev. C 85 (2012) 035202, https://doi.org/10.1103/PhysRevC.85.035202. [arXiv:1109.3459 [nucl-th]].

S. x. Qin, L. Chang, Y. x. Liu, C. D. Roberts and D. J. Wilson, Interaction model for the gap equation, Phys. Rev. C 84 (2011) 042202, https://doi.org/10.1103/PhysRevC.84.042202. [arXiv:1108.0603 [nucl-th]].

P. Maris, Hadron Physics and the Dyson-Schwinger Equations of QCD, AIP Conf. Proc. 892 (2007) 65, https://doi.org/10.1063/1.2714348. [arXiv:nucl-th/0611057 [nuclth]].

I. C. Cloet, A. Krassnigg and C. D. Roberts, Dynamics, symmetries and hadron properties, eConf C070910 (2007) 125, [arXiv:0710.5746 [nucl-th]].

R. Bermudez, L. Albino, L. X. Gutierrez-Guerrero, M. E. Tejeda-Yeomans and A. Bashir, Quark-gluon Vertex: A Perturbation Theory Primer and Beyond, Phys. Rev. D 95 (2017) 034041, https://doi.org/10.1103/PhysRevD.95.034041. [arXiv:1702.04437 [hep-ph]].

A. Bashir, R. Bermudez, L. Chang and C. D. Roberts, Dynamical chiral symmetry breaking and the fermion–gaugeboson vertex, Phys. Rev. C 85 (2012) 045205, https://doi.org/10.1103/PhysRevC.85.045205. [arXiv:1112.4847 [nucl-th]].

L. Chang, Y. X. Liu and C. D. Roberts, Dressed-quark anomalous magnetic moments, Phys. Rev. Lett. 106 (2011) 072001, https://doi.org/10.1103/PhysRevLett.106.072001. [arXiv:1009.3458 [nucl-th]].

L. Chang and C. D. Roberts, Tracing masses of ground-state light-quark mesons, Phys. Rev. C 85 (2012) 052201, https://doi.org/10.1103/PhysRevC.85.052201. [arXiv:1104.4821 [nucl-th]].

L. Chang and C. D. Roberts, Hadron Physics: The Essence of Matter, AIP Conf. Proc. 1361 (2011) 91, https://doi.org/10.1063/1.3622689. [arXiv:1003.5006 [nucl-th]].

L. X. Gutierrez-Guerrero, G. Paredes-Torres and A. Bashir, Mesons and baryons: Parity partners, Phys. Rev. D 104 (2021) 094013, https://doi.org/10.1103/PhysRevD.104.094013. [arXiv:2109.09058 [hep-ph]].

P. Maris and P. C. Tandy, The Quark photon vertex and the pion charge radius, Phys. Rev. C 61 (2000) 045202, https://doi.org/10.1103/PhysRevC.61. 045202. [arXiv:nucl-th/9910033 [nucl-th]].

M. S. Bhagwat and P. Maris, Vector meson form factors and their quark-mass dependence, Phys. Rev. C 77 (2008) 025203, https://doi.org/10.1103/PhysRevC.77.025203. [arXiv:nucl-th/0612069 [nucl-th]].

P. T. P. Hutauruk, I. C. Cloet and A. W. Thomas, Flavor dependence of the pion and kaon form factors and parton distribution functions, Phys. Rev. C 94 (2016) 035201, https://doi.org/10.1103/PhysRevC.94.035201. [arXiv:1604.02853 [nucl-th]].

Downloads

Published

2022-06-08

How to Cite

1.
Hernández Pinto R, Bedolla-Hernandez M, Gutierrez-Guerrero L, Bashir A. Elastic meson form factors in a unified scheme. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 8 [cited 2024 Mar. 29];3(3):0308106 1-5. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6280