Rigorous phase-modulus correlations for forward scattering amplitude at high energies

Journal Article · Thu Jan 01 04:00:00 EST 1976 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.13.133· OSTI ID:4040662

Fischer, Jan; Kolář, Pavel; Vrkoč, Ivo

Starting from the basic results of axiomatic field theory a series of new asymptotic theorems for the symmetric F/subS/(E) and the antisymmetric F/subA/ (E) forward scattering amplitudes are derived, E being the laboratory energy. The spins are neglected. Assuming that the phase of F/subS/ or F/subA/ is asymptotically bounded within a certain range of values the corresponding bounds on absolute F/subS/ or absolute F/subA/, respectively, are obtained. Further, it is shown that certain conditions on the ratio ReF/subS/(E)/ImF/subS/(E) and on the signs of ReF/subS/(E) and Im F/subS/(E) for large enough energies can be formulated as criteria for the asymptotic behavior of the symmetric total cross section sigma/subS/(E). Analogous results are obtained for the antisymmetric forward scattering amplitude. Finally, useful necessary and sufficient conditions for the asymptotic rise or boundedness of sigma/subS/(E) and sigma/ subA/(E) are derived. The results obtained are discussed in light of existing high-energy models and high-energy experiments. (AIP)

• Research Organization: Institute of Physics, Czechoslovak Academy of Sciences, Prague, Czechoslovakia
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-024621
• OSTI ID: 4040662
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 13; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*SCATTERING AMPLITUDES-- ASYMPTOTIC SOLUTIONS
641400*
BOUNDARY CONDITIONS
CORRELATIONS
DISPERSION RELATIONS
FIELD THEORIES
N64500* --Physics (High Energy)--Scattering Theory
TOTAL CROSS SECTIONS