Year: 1965
Type: article
Abstract: Work supported by the U. S. Atomic ELrgy Commissionreletivistic lhlt to solving the Schroecinger equzkllon for a Lsotential Pi5th matrix. A further advantage of the q?roac'n glven '3eiow is that It leads t:, a non-singular integral equatloz fer t'r._e Se'navior of;ke scatterins matrix off the energy shell, ~kose kernel Is e:mllcitly ie';eel-mIz?l. by tke (off-shell) Born a2proximation for thn interacklon, axf'. ir;hic'n Is ec;Jlvnlent to @the Schroedinger eqcation in t'ne con-relctivistic cese. 3 5 s of?-she,l behavior is eqlLcitly seprated Pron the two-boljr scatterlcg imt~ix CE cSe eser,T shell, giving a sinqle rep-esentation:or the T mati-lx neeckd to construct the kerzels for the Faedeev ec_uetions " for the tkree-body>rcble-n+-i- three-body problem coming from the (experimentally determinable) two-body T matrix, and those due to the (model dependent) off-shell behavior. If we denote the usual non-relativistic wave function in N of-mass system by Y&) Yk(g) = G(2-k)-I- cp kg = exp(ik * r)-I- Gk(~), or in momentum (), and make the partial wave expansion (Pk(g) = (l/2rr2)Z4(2&1)P4( $- ".i)<(p), it is easy to show that r w
Source: Physical Review Letters
Author: H. Pierre Noyes
Institutions: SLAC National Accelerator Laboratory, Stanford University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2000002073