Recently we (Prof. M. A. Braun and me) have proposed a microscopic model of the cumulative
phenomena in nuclei, i.e. the processes kinematically forbidden for scattering from a free nucleon,
including the nuclear structure functions and particle production at values of the BjorkenFeynman
scaling variable x>1 in high energy hAcollisions: [Braun M.A. and Vechernin V.V. Nuclear Structure
Functions and Particle Production in the Cumulative Region in the Parton Model. Nucl. Phys. B (1994)
B427 614640]. See also [Braun M.A. and Vechernin V.V. Structure Functions and Particle Production
in the Cumulative Region: two different exponentials. Physics of Atomic Nuclei (1997) 60 no.2;
Epreprint: hepph 9601315, 1996, 14p.], [Braun M.A. and Vechernin V.V. Cumulative Phenomena
through the QuarkParton Diagram Summation at Thresholds. Epreprint: hepph 9612273, 1996, 13p.]
The model is based on perturbative lightfront QCD calculations of the corresponding quarkparton
Feynman diagrams near the thresholds, where some partons turn soft. To sum all diagrams like these
he has developed the special technique based on the recurrence relations.
Proposing this model we have used the observation of the paper [S.J.Brodsky, P.Hoyer, A.H.Mueller
and W.K.Tang New QCD production mechanisms for hard processes at large x. Nucl. Phys. B369 (1992)
519] on the possibility to construct a QCD based microscopic theory for the cumulative phenomena
near the threshold has been pointed out. It was stressed there that at kinematical conditions near
the threshold application of perturbative treatment in QCD interactions between quarks becomes
possible. Cumulative production is then described by a series of the socalled intrinsic diagrams
in which the standard QCD factorization breaks down and several partons from the projectile and
target conspire to produce a particle with high x.
Now we plan to develop our model to calculate the formation rates of the fast quarks of different
flavors and to take into account the presence of sea quarks in a nucleus.
To calculate the production rates of the hadrons of different flavors in the cumulative region
we plan also to study the process of fragmentation of one (or several) fast quark(s) into hadrons
of different flavors. In principle the different versions of hadronization mechanisms of the
produced fast cumulative quarks into colorless states (hadrons) have to be analyzed. It seems
that in the case of the production of cumulative protons the hadronization through the
coalescence of three cumulative quarks is favorable than the usual hadronization through one
cumulative quark fragmentation into proton.
The idea that in QCD a quark can hadronize by coalescing with a comoving spectator parton was
suggested in the paper [Brodsky S.J., Gunion J.F. and Soper D.E. Phys. Rev. D (1987) D36 2710].
It was used later for the description of the fragmentation of protons and pions into charm and
beauty hadrons at large x [Vogt R., Brodsky S.J. and Hoyer P. Nucl. Phys. B (1992) B383 643;
Vogt R. and Brodsky S.J. Nucl. Phys. B (1995) B438 261]. It was shown that the coalescence or
recombination of one or both intrinsic charm quarks with spectator valence quarks of the
Fock state leads in a natural way to leading charm and beauty production.
Note that the theoretical investigations of the nuclear fragmentation processes in this cumulative
x>1 region are of great physical importance as they enable to study multinucleon shortrange
correlations in nuclei (so called fluctons) and to get the information on highdensity nuclear
matter clusters which always are being in nucleus.
From the modern point of view these compact multiquark dense hadronic matter clusters in nuclei
can be also considered as the quarkgluon plasma clusters at zero temperature, which investigation
is of interest also in the light of recent efforts to detect the signs of a deconfinement phase
of nuclear matter and to interpret them as the indications of high temperature quarkgluon plasma
formation in heavyion collisions at super high energies.
The evaluation of the probability of the fast (with x>1) quark formation in the nucleus can also
be of a practical importance. In ultrarelativistic AAcollisions at the RHIC and LHC colliders
the collision of such fast (with x>1) cumulative quarks from colliding nuclei can lead to the
production of the superheavy particles with the masses larger than admitted by the kinematics
of NNscattering
