Exclusive double $B_c$ meson production from $e^{+}{e}^{-}$ annihilation into two virtual photons

Abstract

We calculate cross sections of a pair $B_c$ meson production on the basis of two-photon mechanism from electron-positron annihilation. We investigate the production cross sections in nonrelativistic approximation and with the account of relativistic corrections. Relativistic production amplitudes of S-wave pair pseudoscalar, vector and pseudoscalar+vector $B_c$-mesons are constructed on the basis of relativistic quark model. Numerical values of the production cross sections are obtained at different center-of-mass energies. The comparison of one-photon and two-photon annihilation contributions is presented.

Comments: 14 pages, 2 figures. arXiv admin note: text overlap with arXiv:1604.07633