Doubly-logarithmic asymptotic of the quark scattering amplitude with nonvacuum exchange in the t-channel

Journal Article · Sun Aug 01 04:00:00 EDT 1982 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:6047600

Kirschner, R; Lipatov, L N

Nonlinear differential equations of the Riccati type for the t-channel partial waves f/sub j/(t) describing the scattering of quarks on the mass shell are derived by employing the dispersion relations. The derivation applies to high energies s/sup 1/2/ in the region ..cap alpha../sub s/ln/sup 2/(s/..mu../sup 2/)approx.1, where ..mu.. is the infrared cutoff parameter with respect to the transverse momenta of the virtual particles. For colorless channels the solutions are found in explicit form. It is shown that the singularities of partial waves with negative signature are in all cases located to the right of the singularities of partial waves with positive signature, i.e., the negative signature dominates in the asymptotic region ..cap alpha../sub s/ln/sup 2/(s/..mu../sup 2/)>>1.

• Research Organization: Leningrad Institute of Nuclear Physics, USSR Academy of Sciences
• OSTI ID: 6047600
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 56:2; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
DISPERSION RELATIONS
INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
QUARK-QUARK INTERACTIONS
SCATTERING AMPLITUDES
SINGULARITY
T CHANNEL