Abstract
We study the pair production of $B_c$ mesons in the photon-photon interaction in the framework of perturbative quantum chromodynamics and the relativistic quark model. The production amplitudes of a pair of pseudoscalar and vector $B_c$ mesons are constructed in the nonrelativistic approximation and taking into account relativistic effects. Relativistic corrections related to the relative motion of heavy quarks in the production amplitude, as well as in the wave function of the bound state of heavy quarks, are taken into account. Analytical expressions are constructed for the relativistic differential and total cross sections for the pair $B_c$ meson production. Based on them, numerical values of the production cross sections are obtained for various energies and scattering angles.
Highlights
Among the various reactions that are studied at modern elementary particle accelerators, the processes of the creation of bound states of heavy quarks ðb; cÞ hold a special place. This is due to the fact that various theoretical methods have been developed to study the properties of heavy quarkonia that have already proven their effectiveness
Interest to exclusive processes of pair production of heavy quarkonia is enhanced by the fact that the effects of quark coupling are manifested here to a greater extent [6,7,8,9,10,11]
In our previous works [20,21], the pair production of Bc mesons in electron-positron annihilation was studied, and we considered both one-photon and two-photon pair production mechanisms
Summary
Samara National Research University, Samara 443086, Russia (Received 20 May 2020; accepted 17 July 2020; published 31 July 2020). We study the pair production of Bc mesons in the photon-photon interaction in the framework of perturbative quantum chromodynamics and the relativistic quark model. The production amplitudes of a pair of pseudoscalar and vector Bc mesons are constructed in the nonrelativistic approximation and taking into account relativistic effects. Relativistic corrections related to the relative motion of heavy quarks in the production amplitude, as well as in the wave function of the bound state of heavy quarks, are taken into account. Analytical expressions are constructed for the relativistic differential and total cross sections for the pair Bc meson production. Numerical values of the production cross sections are obtained for various energies and scattering angles
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