Electron-pair-production cross section in the tip region of the positron spectrum

Journal Article · Thu Nov 01 00:00:00 EST 1984 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.30.2311· OSTI ID:6262383

Sud, K K; Sharma, D K

The radial integrals for electron-pair production in a point Coulomb potential have been expressed by Sud, Sharma, and Sud in terms of the matrix generalization of the GAMMA function. Two new partial differential equations in photon energy satisfied by the matrix GAMMA function are obtained. We have obtained, on integrating the partial differential equations, accurate radial integrals as a function of photon energy for the pair production by intermediate-energy photons. The cross section in the tip region of the spectrum are calculated for photons of energy 5.0 to 10.0 MeV for /sup 92/U. The new technique results in extensive saving in computer time as the basic radial integrals in terms of the hypergeometric function F/sub 2/ are computed at one photon energy for each pair of partial waves. The results of our calculations are compared with plane-wave Born-approximation results and with the calculations of Dugne and of Deck, Moroi, and Alling.

• Research Organization: Physics Department, University of Jodhpur, Jodhpur 342001, Rajasthan, India
• OSTI ID: 6262383
• Journal Information: Phys. Rev. A; (United States), Vol. 30:5
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
PHOTON-ATOM COLLISIONS
PAIR PRODUCTION
POSITRONS
ENERGY SPECTRA
URANIUM
COULOMB FIELD
CROSS SECTIONS
DWBA
ELECTRON PAIRS
MEV RANGE 01-10
PHOTON BEAMS
ACTINIDES
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
ATOM COLLISIONS
BEAMS
BORN APPROXIMATION
COLLISIONS
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY RANGE
FERMIONS
INTERACTIONS
LEPTONS
METALS
MEV RANGE
PHOTON COLLISIONS
SPECTRA
640304* - Atomic
Molecular & Chemical Physics- Collision Phenomena