On equivalence of gluon-loop exchange in the inelastic processes in perturbative QCD to pion exchange in

We consider the hadron–hadron inelastic scattering in the framework of QCD perturbation theory. It is shown that in QCD, due to conservation of color, the tree-level diagrams of inelastic scattering are prohibited and one has to deal with the diagrams with loops. We examine the simplest type of such diagrams, where the diagram can be split into blocks, so that the integration over four-momenta of virtual particles in each block can be done independently. It is shown that for these diagrams the squared absolute value of scattering amplitude has a maximum point, similar to that observed earlier in ɸ3 model, if one takes into account the relations between the arguments of scattering amplitude, imposed by the energy-momentum conservation law. This enables to apply the Laplace’s method for the calculation of cross section of hadron–hadron inelastic scattering. It is shown that the diagrams of gluon-loop exchange in QCD are equivalent to the diagrams of pion exchange in ɸ3 theory, whereby the new mechanism of cross section growth, discovered earlier in ɸ3 theory, takes place also in the perturbative QCD. The latter may explain the origin of experimentally-observed growth of cross section of hadron–hadron inelastic scattering as function of energy of colliding hadrons. The discovered mechanism can’t emerge in any Regge-based model due to the premises on the particle kinematics, made in these models

On equivalence of gluon-loop exchange in the inelastic processes in perturbative QCD to pion exchange in ɸ3 theory

We consider the hadron–hadron inelastic scattering in the framework of QCD perturbation theory. It is shown that in QCD, due to conservation of color, the tree-level diagrams of inelastic scattering are prohibited and one has to deal with the diagrams with loops. We examine the simplest type of such diagrams, where the diagram can be split into blocks, so that the integration over four-momenta of virtual particles in each block can be done independently. It is shown that for these diagrams the squared absolute value of scattering amplitude has a maximum point, similar to that observed earlier in ɸ3 model, if one takes into account the relations between the arguments of scattering amplitude, imposed by the energy-momentum conservation law. This enables to apply the Laplace’s method for the calculation of cross section of hadron–hadron inelastic scattering. It is shown that the diagrams of gluon-loop exchange in QCD are equivalent to the diagrams of pion exchange in ɸ3 theory, whereby the new mechanism of cross section growth, discovered earlier in ɸ3 theory, takes place also in the perturbative QCD. The latter may explain the origin of experimentally-observed growth of cross section of hadron–hadron inelastic scattering as function of energy of colliding hadrons. The discovered mechanism can’t emerge in any Regge-based model due to the premises on the particle kinematics, made in these models

Gluon Loops in the Inelastic Processes in QCD

Sharf IV, Merkotan KK, Podolyan NA, et al. Gluon Loops in the Inelastic Processes in QCD. 2012.It is shown that inelastic process of the exchange with two massless gluonsis formally equivalent to the process of the exchange with one massiveparticle. Thus, using the Laplace's method, a new mechanism of mass generationin inelastic processes is discovered, which is described by the non-Abeliangauge theory. Furthermore, it is shown that in the QCD perturbation theory, thesame mechanisms of cross-sections growth take place, similar to the onesdiscovered before in the effective scalar theories

Transformation of the nonrelativistic quantum system under transition from one inertial reference frame to another

Sharph IV, Deliyergiyev MA, Kotanzhyan AG, et al. Transformation of the nonrelativistic quantum system under transition from one inertial reference frame to another. 2013.We consider the problem of internal particle state transformation, which is abound state of several particles, from the rest frame of a composite particleto the system in which it is relativistic. It is assumed that in the rest frameof the composite particle, its internal state could be considered in thenonrelativistic approximation. It has been shown, that this internal state isunchanged during the transition from one reference frame to another. Namely,the spherically symmetric particle in the rest frame stays sphericallysymmetric in any other reference frame. We discuss the possible application ofthese results for description of the hadrons scattering processes like boundstates of quarks

The state of nonrelativistic quantum system in a relativistic reference frame

Sharph IV, Deliyergiyev MA, Kotanzhyan AG, et al. The state of nonrelativistic quantum system in a relativistic reference frame. 2014.We consider the problem of internal particle state transformation, which is abound state of several constituents, from the particle's rest frame to thesystem in which this particle is relativistic. It is assumed that in the restframe of the composite particle, its internal state can be considered in thenonrelativistic approximation. It is shown, that this internal state isunchanged during the transition from one reference frame to another. Namely,given the particle is spherically symmetric in the rest frame, it remainsspherically symmetric in any other reference frame, and does not undergoLorentz contraction along the direction of motion of moving reference framewith respect to the rest frame. We discuss a possible application of theseresults to the description of hadron-hadron scattering, considering hadrons asa bound states of quarks