Introduction to the-Quantum Approximation for Bound States: the Deuteron in Pseudoscalar-Meson Theory
- 28 October 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 150 (4), 1070-1076
- https://doi.org/10.1103/physrev.150.1070
Abstract
The -quantum approximation for bound states in relativistic quantum field theory is described by applying it to the deuteron in pseudoscalar-meson theory. Some properties of the covariant, single-time, -quantum amplitude which plays the role of the deuteron wave function are given. A manifestly covariant single-time equation for this amplitude is derived. In the weak-binding, nonrelativistic limit, this equation is reduced to a Pauli-Schrödinger equation with the correct reduced mass and the usual second-order perturbation-theory central and tensor potentials. The interpretation of the -quantum bound-state amplitude in the weak-binding, nonrelativistic limit is discussed. It is pointed out that a higher approximation will lead to a short-range force between nucleons.
Keywords
This publication has 2 references indexed in Scilit:
- Introduction to the-Quantum Approximation in Quantum Field TheoryPhysical Review B, 1965
- Bound States and Dispersion RelationsPhysical Review B, 1960