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

TL;DR

The work addresses high-energy deuteron breakup on a proton target within the Glauber–Sitenko framework, focusing on the roles of the longitudinal momentum transfer $Q_z$ and transverse pn-pair momentum in the anti-laboratory frame. It extends the standard diffraction approach by incorporating $Q_z$-dependent profile functions and multiple deuteron wave-function parameterizations (Tartakovsky, K2, AV18, Nijm-I) to study how these kinematic factors shape the differential cross section, especially in the high relative-momentum region where quark effects may emerge. The analysis finds that including $Q_z$ and $p_ perp$ modifies cross-section shapes and maxima, but a single-Gaussian model is inadequate to describe data, and no evidence for the dibaryon resonance $d^*(2380)$ is found within the MSDT framework for the realistic potentials examined; however, lower-momentum dibaryon states or strange-quark configurations remain plausible. Overall, the results support a quark-structure interpretation for the observed enhancements in certain kinematic regions and establish a framework to disentangle mesonic versus quark degrees of freedom in deuteron breakup measurements.

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.

Figures (16)

• Figure 1: Dependence of $E_p \, d^3 \sigma / d^3 k$ on $k_z$, calculated using the single-Gaussian "Tartakovsky parametrization" Tartakovsky2005, for $p_x = 0.00001 \, \text{GeV}/c$ and $Q_z = 0.00001 \, \text{GeV}/c$. The point represents the experimental data approximation; the continuous curve corresponds to the calculation based on the Glauber–Sitenko multiple scattering diffraction theory (MSDT).
• Figure 2: Dependence of $E_p \, \frac{d^3 \sigma}{d^3 k}$ on $k$, calculated using the single-Gaussian "Tartakovsky parametrization" Tartakovsky2005, for $p_x = 0.5 \, \text{GeV}/c$ and $Q_z = 0.00001 \, \text{GeV}/c$
• Figure 3: Dependence of $E_p \, \frac{d^3 \sigma}{d^3 k}$ on $k_z$, calculated using the single-Gaussian "Tartakovsky parametrization" Tartakovsky2005, for $p_x = 0.00001 \, \text{GeV}/c$ and $Q_z = 0.5 \, \text{GeV}/c$.
• Figure 4: Within the framework of the Glauber–Sitenko model using wave functions based on the single-Gaussian parametrization Tartakovsky2005, the existence of dibaryon states with energies above 0.25 GeV/$c$ is not supported. The calculation was performed for $p_x = 0.00001$ GeV/$c$, $Q_z = 0.00001$ GeV/$c$
• Figure 5: Dependence of $E_p \, d^3 \sigma / d^3 k$ on $k_z$, obtained using the wave function of the multi-Gaussian "K2 parametrization" at $p_x = 0.000015$ GeV/$c$, $Q_z = -0.015$ GeV/$c$