Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-12-24
Phys.Rev. D67 (2003) 054023; Erratum-ibid. D72 (2005) 099904
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 2 figures, 3 tables, revised to correct errors in original version, Erratum to Phys. Rev. D article included as a se
Scientific paper
10.1103/PhysRevD.67.054023
We calculate the contributions from QED processes involving two virtual photons to the cross sections for e^+ e^- annihilation into two charmonium states with the same C-parity. Generically, the cross sections are three orders of magnitude smaller than those for charmonia with opposite C-parity because they are suppressed by a factor of alpha^2/alpha_s^2. However, if both charmonia have quantum numbers J^{PC} = 1^{--}, then there is a contribution to the cross section that involves the fragmentation of each photon into a charmonium. The fragmentation contribution is enhanced by powers of E_{beam}/m_c, the ratio of the beam energy to the charm-quark mass, and this enhancement can compensate for the suppression factor that is associated with the coupling constants. In particular, the predicted cross section for J/psi + J/psi at the B factories is larger than that for J/psi + eta_c.
Bodwin Geoffrey T.
Braaten Eric
Lee Jungil
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