Gribov Inelastic Shadowing in the Dipole Representation

Abstract

The dipole phenomenology, which has been quite successful applied to various hard reactions, especially on nuclear targets, is applied for calculation of Gribov inelastic shadowing. This approach does not include ad hoc procedures, which are unavoidable in calculations done in hadronic representation. Several examples of Gribov corrections evaluated within the dipole description are presented.

Nuclear effects in leading neutron production

“…It is well known that the Glauber approximation is subject to Gribov inelastic shadowing corrections [6], which are known to make the nuclear matter more transparent for hadrons [7,8] and affect both factors in (4), suppressing σ πA tot and increasing S N A (b A ). We calculate the Gribov corrections to all orders of multiple interactions by employing the dipole representation, as is described in [7][8][9][10].…”

“…Therefore the eikonal approximation employed in the Glauber model, Eqs. ( 5)- (7) should not be used for hadrons, but for their Fock components, and then the whole exponential terms should be averaged [7,10]. This corresponds to the following replacements in Eqs.…”