Change in the behavior of formfactors of compound systems as high transferred momenta are approached asymptotically

Journal Article · Wed Jun 01 04:00:00 EDT 1977 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:6840838

Kudryavtsev, A E; Simonov, Y A

A study is made of the behavior of the elastic formfactor F/sub N/(q) and of the matrix element for virtual decay G/sub N/(q) of a compound system of N strongly interacting particles. On the example of a one-dimensional model with a delta-like attractive potential it is shown that for an arbitrary number of components N at high transferred momenta F/sub N/ and G/sub N/ fall off as a power of the transferred momentum, with F/sub N/approx.G/sub N/approx.q/sup( -2N/-1). Such a power-type fall-off corresponds completely to the quantum asymptotic behavior of the N-body problem. The exact expression for F/sub N/(q) contains N-1 pole singularities. The nature of these poles is discussed. In the domain of low transferred momenta F/sub N/ and G/sub N/ exhibit exponential fall-off with the slope of the exponent being determined by the radius of the soliton solution of the classical nonlinear equation corresponding to the quantum equation. The quasiclassical correction to the soliton formfactor is obtained. A change in the behavior of the functions F/sub N/ and G/sub N/ is observed in the region q/sub cr/=q/sub 0/N, where q/sub 0/ is the characteristic hadron momentum determined by the dynamics of the system and independent of the number of components. Thus, for large N the approach of the form factors to the power-law asymptotic behavior is delayed.

• Research Organization: Institute for Theoretical and Experimental Physics
• OSTI ID: 6840838
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 45:6; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
FORM FACTORS
LINEAR MOMENTUM TRANSFER
MANY-BODY PROBLEM
PARTICLE PROPERTIES
QUASI PARTICLES
SEMICLASSICAL APPROXIMATION
SINGULARITY
SOLITONS