Relations between Bound-State Problems and Scattering Theory
- 15 January 1956
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 101 (2) , 877-879
- https://doi.org/10.1103/physrev.101.877
Abstract
An operator that takes an "unperturbed" two-particle eigenvector belonging to the discrete spectrum of a potential well of finite width into that including a short-range interaction is examined in the limit as the well width tends to infinity. It is found to approach the operator, which satisfies the integral equation using the principal value of the kernel. The result sheds light on Brueckner's equations, which can now be formulated entirely in bound-state language. The connection between forward scattering amplitude and energy shift used in a recent paper on the -mesonic atom is also commented on.
Keywords
This publication has 5 references indexed in Scilit:
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- Approximate Reduction of the Many-Body Problem for Strongly Interacting Particles to a Problem of Self-Consistent FieldsPhysical Review B, 1955
- Energy Level Displacements in Pi-Mesonic AtomsPhysical Review B, 1954
- The Elastic Scattering of Particles by Atomic NucleiPhysical Review B, 1953
- Variational Principles for Scattering Processes. IPhysical Review B, 1950