Electromagnetic form factors in a contact interaction: scalar and pseudoscalar mesons

Authors

  • Roger Hernández Pinto Universidad Autónoma de Sinaloa
  • L. X. Gutiérrez-Guerrero CONAHCyT-Mesoamerican Centre for Theoretical Physics, Universidad Autonoma de Chiapas
  • M. A. Bedolla Hernández Universidad Autónoma de Chiapas
  • I. M. Higuera-Angulo Universidad Michoacana de San Nicolás de Hidalgo

DOI:

https://doi.org/10.31349/SuplRevMexFis.4.021113

Keywords:

Hadron physics; form factors; pseudoscalar mesons; scalar mesons

Abstract

The determination of fundamental properties of hadrons is important to clearly understand the experimental measurements such as the anomalous magnetic moment of the muon. However, since a first principle approach is hard to find, several groups among the world are approaching phenomenologically to such description of hadrons. In this poster, we present a comprehensive survey of electromagnetic form factors of all light, heavy and heavy-light ground-state pseudoscalar and scalar mesons. Specifically, in this work we are interested on the determination of Elastic Meson Form Factors (EFF) for Scalar (S) and Pseudoscalar (PS) mesons. However, the calculation of all EFF requires the computation of the quark propagator, the Bethe-Salpeter (BS) equation and the Bethe-Salpeter Amplitudes (BSA) of mesons, their masses as well as the knowledge of the quark-photon interaction at different probing momenta.

References

R. J. Hernández-Pinto et al., Electromagnetic form factors and charge radii of pseudoscalar and scalar mesons: A comprehensive contact interaction analysis, Phys. Rev. D 107 (2023) 054002, https://doi.org/10.1103/PhysRevD.107.054002

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

C. D. Roberts and A. G. Williams, Dyson-Schwinger equations and their application to hadronic physics, Prog. Part. Nucl. Phys. 33 (1994) 477, https://doi.org/10.1016/0146-6410(94)90049-3

C. D. Roberts and S. M. Schmidt, Dyson-Schwinger equations: Density, temperature and continuum strong QCD, Prog. Part. Nucl. Phys. 45 (2000) S1, https://doi.org/10.1016/S0146-6410(00)90011-5

P. O. Bowman, et al., Unquenched gluon propagator in Landau gauge, Phys. Rev. D 70 (2004) 034509, https://doi.org/10.1103/PhysRevD.70.034509

L. X. Gutiérrez-Guerrero et al., Pion form factor from a contact interaction, Phys. Rev. C 81 (2010) 065202, https://link.aps.org/doi/10.1103/PhysRevC.81.065202

L. X. Gutiérrez-Guerrero, et al., Masses of Light and Heavy Mesons and Baryons: A Unified Picture, Phys. Rev. D 100 (2019) 114032, https://doi.org/10.1103/PhysRevD.100.114032

P. Boucaud, et al., The Infrared Behaviour of the Pure YangMills Green Functions, Few Body Syst. 53 (2012) 387, https://doi.org/10.1007/s00601-011-0301-2

A. C. Aguilar, et al., Evidence of ghost suppression in gluon mass scale dynamics, Eur. Phys. J. C 78 (2018) 181, https://doi.org/10.1140/epjc/s10052-018-5679-2

D. Binosi and J. Papavassiliou, Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex, Phys. Rev. D 97 (2018) 054029, https://doi.org/10.1103/PhysRevD.97.054029

F. Gao, et al., Locating the Gribov horizon, Phys. Rev. D 97 (2018) 034010, https://doi.org/10.1103/PhysRevD.97.034010

L. X. Gutiérrez-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

P.-L. Yin, et al., Masses of ground-state mesons and baryons, including those with heavy quarks, Phys. Rev. D 100 (2019) 034008, https://doi.org/10.1103/PhysRevD.100.034008

K. Raya et al., Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors, FewBody Syst. 59 (2018) 133, https://doi.org/10.1007/s00601-018-1455-y

C. H. Llewellyn-Smith, A relativistic formulation for the quark model for mesons, Annals Phys. 53 (1969) 521, https://doi.org/10.1016/0003-4916(69)90035-9

S. Amendoliav et al., A measurement of the space-like pion electromagnetic form factor, Nuclear Physics B 277 (1986) 168, https://doi.org/10.1016/0550-3213(86)90437-2

J. Volmer et al., Measurement of the Charged Pion Electromagnetic Form-Factor, Phys. Rev. Lett. 86 (2001) 1713, https://link.aps.org/doi/10.1103/PhysRevLett.86.1713

T. Horn et al., Determination of the Charged Pion Form Factor at Q**2 = 1.60 and 2.45-(GeV/c)**2, Phys. Rev. Lett. 97 (2006) 192001, https://link.aps.org/doi/10.1103/PhysRevLett.97.192001

M. A. Bedolla, J. J. Cobos-Mart´ınez, and A. Bashir, Charmonia in a contact interaction, Phys. Rev. D 92 (2015) 054031, https://doi.org/10.1103/PhysRevD.92.054031

M. A. Bedolla, et al., ηc elastic and transition form factors: Contact interaction and algebraic model, Phys. Rev. D 93 (2016) 094025, https://doi.org/10.1103/PhysRevD.93.094025

Downloads

Published

2023-09-18

How to Cite

1.
Hernández Pinto R, Gutiérrez-Guerrero LX, Bedolla Hernández MA, Higuera-Angulo IM. Electromagnetic form factors in a contact interaction: scalar and pseudoscalar mesons. Supl. Rev. Mex. Fis. [Internet]. 2023 Sep. 18 [cited 2024 May 29];4(2):021113 1-4. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/7159