An estimation of non-valence contributions to form factors of heavy-light mesons

Authors

  • María Gómez-Rocha Universidad de Granada
  • O. Heger ILF Consulting Engineers
  • W. Schweiger University of Graz

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308087

Keywords:

form factors, few-body systems, particle decays, heavy-light mesons, relativistic quantum mechanics

Abstract

We study the influence of non-valence quark-pair contributions in weak transition form factors of heavy-light mesons. Form factors are first calculated for spacelike momentum transfers in a reference frame where such contributions are suppressed. Analytic continuation to the timelike region and a comparison with the direct decay calculation, done with pure valence degrees of freedom, provides an estimate of the role that quark-pair contributions may play. We use the point form of relativistic quantum mechanics, which is particularly useful when treating heavy-light systems.

References

Paul A.M. Dirac. Forms of Relativistic Dynamics. Rev. Mod. Phys., 21:392–399, 1949.

E.P. Biernat, K. Fuchsberger, W. Schweiger, and W.H. Klink. Point-form quantum field theory and meson form-factors. Few Body Syst., 44:311–314, 2008.

Elmar P. Biernat and Wolfgang Schweiger. Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics.

Phys. Rev. C, 89(5):055205, 2014.

Elmar P. Biernat. Electromagnetic Properties of Few-Body Systems Within a Point-Form Approach. PhD thesis, Graz U., 2011.

Elmar P. Biernat, William H. Klink, and Wolfgang Schweiger. Point-Form Hamiltonian Dynamics and Applications. Few Body Syst., 49:149–161, 2011.

Elmar P. Biernat, Wolfgang Schweiger, Kajetan Fuchsberger, and William H. Klink. Electromagnetic meson form factor from a relativistic coupled-channel approach. Phys. Rev. C, 79:055203, 2009.

Mar´ıa G´omez-Rocha. Semileptonic meson decays in pointform relativistic quantum mechanics: unambiguous extraction of weak form factors. Phys. Rev. D, 90(7):076003, 2014.

Oliver Heger, Mar´ıa G´omez-Rocha, and Wolfgang Schweiger. Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers. Phys. Rev. D, 104(11):116005, 2021.

Maria Gomez-Rocha and Wolfgang Schweiger. Electroweak form factors of heavy-light mesons: A relativistic point-form approach. Phys. Rev. D, 86(5):053010, 2012. [Erratum: Phys. Rev. D 102, 119901 (2020)].

Mar´ıa G´omez-Rocha. Electroweak hadron structure within a relativistic point-form approach. PhD thesis, Graz U., 2013.

Maria Gomez-Rocha and Wolfgang Schweiger. Electroweak hadron structure within a point-form approach. Acta Phys. Polon. Supp., 6:365–370, 2013.

Maria Gomez-Rocha, Elmar P. Biernat, and Wolfgang Schweiger. Form Factors of Few-Body Systems: Point Form Versus Front Form. Few Body Syst., 52:397–401, 2012.

B. Bakamjian and L. H. Thomas. Relativistic particle dynamics. 2. Phys. Rev., 92:1300–1310, 1953.

W. H. Klink. Relativistic simultaneously coupled multiparticle states. Phys. Rev. C, 58:3617–3626, 1998.

W. H. Klink. Constructing Point Form Mass Operators from Interaction Lagrangians. Nucl. Phys. A, 716:123–135, 2003.

B. D. Keister. Heavy quark symmetry and Dirac’s point form dynamics. Phys. Rev. D, 46:3188–3194, 1992.

Matthias Neubert. Heavy quark symmetry. Phys. Rept., 245:259–396, 1994.

Matthias Neubert and Volker Rieckert. New approach to the universal form-factors in decays of heavy mesons. Nucl. Phys. B, 382:97–119, 1992.

B. D. Keister and W. N. Polyzou. Relativistic Hamiltonian dynamics in nuclear and particle physics. Adv. Nucl. Phys., 20:225–479, 1991.

Hai-Yang Cheng, Chi-Yee Cheung, and Chien-Wen Hwang. Mesonic form factors and the isgur-wise function on the light

front. Phys. Rev. D, 55(3):1559–1577, Feb 1997.

Yasmine Sara Amhis et al. Averages of b-hadron, c-hadron, and tau-lepton properties as of 2018. Eur. Phys. J. C, 81(3):226, 2021.

Chi-Yee Cheung, Chien-Wen Hwang, and Wei-Min Zhang. B --> pi lepton neutrino form-factors calculated on the light front. Z. Phys. C, 75:657–664, 1997.

B. D. Keister and W. N. Polyzou. Model Tests of Cluster Separability In Relativistic Quantum Mechanics. Phys. Rev. C, 86:014002, 2012.

Downloads

Published

2022-08-01

How to Cite

1.
Gómez-Rocha M, Heger O, Schweiger W. An estimation of non-valence contributions to form factors of heavy-light mesons. Supl. Rev. Mex. Fis. [Internet]. 2022 Aug. 1 [cited 2022 Dec. 7];3(3):0308087 1-5. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6166