ASYMPTOTIC PION-PION ELASTIC SCATTERING AMPLITUDE

Journal Article · Sun Sep 15 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.131.2704· OSTI ID:4638289

Zimmerman, R L

The elastic scattering amplitude for neutral pseudoscalar particles is calculated in the limit of high energies and small momentum transfer. All inelastic channels are kept in the intermediate state by exchanging only two particles. This resulting expression gives the upper and lower bounds on the total cross section b/s < sigma (s) < a/s/sup epsilon / where epsilon > 0 and a, b are real constants. A special case of this elastic scattering amplitude is shown to be of the form suggested on the basis of the Regge theory of complex angular momentum. If the slope of the Regge trajectory is taken to be a approx equal /50 we obtain a total cross section which decreases very slowly sigma (s) = (k/16 pi )s/sup -9.005/, where k is some real constant. (auth)

• Research Organization: Univ. of Washington, Seattle
• NSA Number: NSA-17-036607
• OSTI ID: 4638289
• Report Number(s): TID-19005; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
ELEMENTARY PARTICLES
FIELD THEORY
MOMENTUM
PHYSICS
PSEUDOSCALAR
REGGE POLES
VECTORS