Photonic production of the pair of $B_c$ mesons

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.

arXiv comment18 pages, 4 figures

References in corpus (32)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Heavy quarkonium: progress, puzzles, and opportunities
• FORM version 4.0
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into a Virtual Photon
• Spectroscopy of B_c Mesons in the Relativized Quark Model
• Masses of heavy baryons in the relativistic quark model
• Physics of B_c mesons
• Problems of Double Charm Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• The QCD Potential at $O(1/m)$
• TESLA Technical Design Report, Part VI, Chapter 1: The Photon Collider at TESLA
• Order-v^4 Corrections to S-wave Quarkonium Decay
• Potential model calculations and predictions for heavy quarkonium
• Exclusive J/ψProductions at e^+ e^- Colliders
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• Observation of an excited $B_c^{+}$ state
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into Two Virtual Photons
• Heavy Quarkonium Potential Model and the ${}^1{P}_1$ State of Charmonium
• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
• Semi-Relativistic Hamiltonians of Apparently Nonrelativistic Form
• Photonic production of B_c-mesons
• Relativistic corrections to double charmonium production in high energy proton-proton interaction
• Relativistic effects in the double S- and P-wave charmonium production in e^+e^- annihilation
• Relativistic description of the double charmonium production in $e^{+}{e}^{-}$ annihilation
• Pair double heavy diquark production in high energy proton-proton collisions
• Relativistic effects in the processes of heavy quark fragmentation
• $B_c$ excitations at LHC experiments
• Relativistic corrections to the pair $B_c$-meson production in $e^{+}{e}^{-}$ annihilation
• Photonic production of P-wave states of B_c mesons
• NLO QCD corrections to $B_c$-pair production in photon-photon collision
• Exclusive double $B_c$ meson production from $e^{+}{e}^{-}$ annihilation into two virtual photons

Cited by in corpus (4)

• Higgs boson decay to paired $B_c$: relativistic and one-loop corrections
• Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson
• Higgs boson decay to the pair of S- and P-wave $B_c$ mesons
• Associated charmonium-bottomonium production in a single boson $e^{+}{e}^{-}$ annihilation