## Baryon scattering at high energies: wave function, impact factor, and gluon radiation

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Bartels, J.

Motyka, L.

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The scattering of a baryon consisting of three massive quarks is investigated
in the high energy limit of perturbative QCD. A model of a relativistic
proton-like wave function, dependent on valence quark longitudinal and
transverse momenta and on quark helicities, is proposed, and we derive the
baryon impact factors for two, three and four t-channel gluons. We find that
the baryonic impact factor can be written as a sum of three pieces: in the
first one a subsystem consisting of two of the three quarks behaves very much
like the quark-antiquark pair in gamma* scattering, whereas the third quark
acts as a spectator. The second term belongs to the odderon, whereas in the
third (C-even) piece all three quarks participate in the scattering. This term
is new and has no analogue in gamma* scattering. We also study the small x
evolution of gluon radiation for each of these three terms. The first term
follows the same pattern of gluon radiation as the gamma*-initiated
quark-antiquark dipole, and, in particular, it contains the BFKL evolution
followed by the 2-->4 transition vertex (triple Pomeron vertex). The
odderon-term is described by the standard BKP evolution, and the baryon couples
to both known odderon solutions, the Janik-Wosiek solution and the BLV
solution. Finally, the t-channel evolution of the third term starts with a
three reggeized gluon state which then, via a new 3-->4 transition vertex,
couples to the four gluon (two-Pomeron) state. We briefly discuss a few
consequences of these findings, in particular the pattern of unitarization of
high energy baryon scattering amplitudes.

Comment: 36 pages, 16 figures

Comment: 36 pages, 16 figures

##### Keywords

High Energy Physics - Phenomenology