Accession Number : AD0667212

Title :   APPROACH TO THE THREE-BODY SCATTERING PROBLEM.

Descriptive Note : Physical sciences research papers no. 347,

Corporate Author : AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s) : Jasperse,John R.

Report Date : DEC 1967

Pagination or Media Count : 19

Abstract : The 'partial wavefunction approach' to the three-body scattering problem is used to derive some new equations for the wavefunction. All scattering processes are solutions of inhomogeneous coupled integral equations for the scattered parts of the total wavefunction. The Pauli principle is incorporated when two or all of the particles are identical. This leads to a reduction in the number of independent scattered partial wavefunctions when two or all of the particles are identical. The kernels in the integral equations contain no delta functions but each scattered partial wavefunction does have a selfcoupling term. Applied to the scattering of three identical bosons interacting through zero-range pair potentials, the method gives the same equation as obtained by the Faddeev T-matrix approach. (Author)

Descriptors :   (*NUCLEAR SCATTERING, WAVE FUNCTIONS), POTENTIAL THEORY, INTEGRAL EQUATIONS, MATRICES(MATHEMATICS), BOSONS, INTERACTIONS, QUANTUM STATISTICS

Subject Categories : Physical Chemistry
      Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE