PRODUCTION OF PION PAIRS BY A PHOTON IN THE COULOMB FIELD OF A NUCLEUS

Journal Article · Sun Apr 01 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys.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.126.345· OSTI ID:4831240

Kim, Y

The possibility is studied of measuring the pi - pi interaction by means of electromagnetic pion-pair production in the Coulomb field of a nucleus. The Mandelstam representation is set up for the process gamma (virtual) + gamma yields pi + pi , and partial-wave dispersion relations are derived. Solutions for the ensuing integral equations are obtained within the approximation of retaining only the one-pion exchange contribution to the unphysical cut. It is sufficient to consider only the pi - pi S-wave interaction, for which a current estimate with a virtual I = O state near threshold is utilized. Results indicate that the effects of the pi - pi final- state interaction on the Coulomb process may be observed in the presence of nuclear pair production, provided that the momentum transfers to the nucleus are small (smaller than approximates 70 Mev/c in the illustrative case of an incident photon of 6 Bev). (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-16-018365
• OSTI ID: 4831240
• Report Number(s): UCRL-9734; 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• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 126; ISSN PHRVA
• Country of Publication: United States
• Language: English

Related Subjects

DIFFERENTIAL EQUATIONS
DISPERSION THEORY
ELECTRIC FIELDS
FIELD THEORY
INTERACTIONS
MANDELSTAM REPRESENTATION
MEASURED VALUES
NUCLEI
PAIR PRODUCTION
PHOTONS
PHYSICS
PIONS
QUANTUM MECHANICS
S-WAVE
SCATTERING