Abstract
In this study, we have considered the contribution of the higher-twist (HT) effects of the subprocesses to inclusive pion pair production cross section in the high energy proton-antiproton collisions by using various pion distribution amplitudes (DAs) within the frozen coupling constant approach and compared them with the leading-twist contributions. The feature of the HT effects may help the theoretical interpretation of the future PANDA experiment. The dependencies of the HT contribution on the transverse momentum $p_T$, the center of mass energy $\sqrt s$, and the variable $x_T$ are discussed numerically with special emphasis put on DAs. Moreover, the obtained analytical and numerical results for the differential cross section of the pion pair production are compared with the elastic backward scattering of the pion on the proton. We show that the main contribution to the inclusive cross section comes from the HT direct production process via gluon-gluon fusion. Also, it is strongly dependent on the pion DAs, momentum cut-off parameter $\triangle p$ and $<{q_{T}^2}>$ which is the mean square of the intrinsic momentum of either initial parton.
Highlights
It is well known that quantum chromodynamics (QCD) is the fundamental theory of strong interactions
We have considered the contribution of the higher-twist (HT) effects of the subprocesses to inclusive pion pair production cross section in the high energy proton-antiproton collisions by using various pion distribution amplitudes (DAs) within the frozen coupling constant approach and compared them with the leading-twist contributions
We examine the contribution of the HT effects to inclusive charged pion pair production at proton-antiproton collisions by using different pion DAs obtained within holographic and perturbative QCD which can be helpful for an explanation of the PANDA experiment
Summary
It is well known that quantum chromodynamics (QCD) is the fundamental theory of strong interactions. QCD describes the strong interactions between quarks and gluons, the structure and dynamics of hadrons at the amplitude level. The hadronic distribution amplitude (DA) in terms of internal structure degrees of freedoms is important in QCD process predictions. Understanding of the hadronic structure in terms of the fundamental degrees of freedom of QCD is one of the fascinating questions of the popular research area in physics. The important processes of the perturbative quantum chromodynamics (pQCD) are hadron pair production at large transverse momenta in hadron-hadron collisions.
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