Abstract
The cross sections for exclusive D + D − and D 0 ¯ D0 meson pair production in peripheral nucleus - nucleus collisions are calculated and several differential distributions are presented. The calculation of the elementary ! D ¯ D cross section is done within the heavy-quark approximation and in the Brodsky- Lapage formalism with distribution amplitudes describing recent CLEO data on leptonic D + decay. Absorption effects are discussed and quantified. The cross sections of a few nb are predicted for RHIC and of a few hundreds of nb for LHC with details depending on the approximation made in calculating elementary ! D ¯ D cross sections.
Highlights
Heavy quark meson pair production was studied theoretically only in Ref.[1] where formulas have been derived in the heavy quark approximation with Dirac delta-like distribution amplitudes
The calculation of the elementary γγ → DDcross section is done within the heavy-quark approximation and in the Brodsky- Lapage formalism with distribution amplitudes describing recent CLEO data on leptonic D+ decay
We have calculated for the first time in the literature total and differential cross sections for AA → AADDreactions assuming that the reaction is driven by the γγ → DDsubproceess
Summary
Heavy quark meson pair production was studied theoretically only in Ref.[1] where formulas have been derived in the heavy quark approximation with Dirac delta-like distribution amplitudes. On the other hand both lattice QCD and the CLEO collaboration extracted the D-meson distribution amplitude which turned out to differ considerably from the delta-like distribution amplitude assumed in heavy quark approximation. In the present studies we will use the more realistic distribution amplitudes. We consider both D+D− and D0D0 production.
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