Inclusion of the Longitudinal Momentum-Transfer Component and Kinematic Factors in a diffraction approach for H(d,p)X Reactions

TL;DR

This paper analyzes the differential cross section of the H(d,p)X reaction using a diffraction approach, emphasizing the effects of longitudinal momentum transfer and kinematic factors within the Glauber-Sitenko approximation.

Contribution

It incorporates the longitudinal momentum transfer component and kinematic factors into the diffraction model for deuteron breakup reactions, improving agreement with experimental data.

Findings

Cross section decreases with increasing transverse momentum.

Inclusion of longitudinal component Qz causes a small shift and growth of the cross-section maximum.

Model comparisons show effects of different deuteron wave function parameterizations.

Abstract

In this work, within the framework of the Glauber-Sitenko approximation, an analysis of the differential cross section for deuteron breakup into a proton in the reaction H(d,p)X is presented. The study is carried out using various parameterizations of the deuteron wave function, including the single-Gaussian parametrization, the multi-Gaussian K2 parametrization, and models based on the Av18 and NijmI nucleon-nucleon potentials. Special attention is given to the effects of small longitudinal components of the transferred momentum (Qz < 0.5 GeV/c) and the transverse momentum of the proton-neutron pair (p_perp < 0.5 GeV/c) in the anti-laboratory reference frame. The results are compared with experimental data, particularly in the region of longitudinal momenta p\_3 = 0.25-0.5 GeV/c, where quark effects are expected to manifest. Preliminary estimates show a decrease in the cross section with increasing transverse momentum, as well as a relatively small shift (and growth) of the cross-section maximum due to the inclusion of the longitudinal component Qz.