Unitarity problem in the theory of the Froissaron exchange

Journal Article · Thu Dec 01 04:00:00 EST 1977 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:6686327

Dubovikov, M S; Martirosyan, K A.T.

It is shown that in the theory of multipomeron exchange with ..cap alpha../sub P/(0) = (1+..delta..) >..cap alpha../sub cr/>1 (in the Froissaron theory), which leads to a Froissart growth of the cross section sigma/sup tot/approx.zeta/sup 2/, the problem of s- and t-channel unitarity is connected in radical fashion with the threshold behavior of the pomeron-pole trajectory ..cap alpha../sub P/(t). We investigate the influence of this factor on the t-channel partial amplitude f (..omega..,t), where ..omega..=j--1, and on the asymptotic s-channel profile function F (zeta,b) =1--exp(2idelta (zeta,b)), where b is the impact parameter. It is shown that, subject to some limitations on the threshold singularity of ..cap alpha../sub P/(t), the amplitude f (..omega..,t) does not contradict t-unitarity and, under the same condition at a sufficiently value of the froissaron interaction constant g/sub 00/approx. =..delta../sup 3//a/sup 2/, the function F (zeta,b) is s-unitarity.

• Research Organization: Institute of Theoretical and Experimental Physics
• OSTI ID: 6686327
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 46:6; 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
CROSS SECTIONS
POMERANCHUK POLES
S CHANNEL
SCATTERING AMPLITUDES
T CHANNEL
TOTAL CROSS SECTIONS
UNITARITY