Short-Range Correlations and the Three-Body Binding Energy
- 11 January 1965
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 137 (1B), B75-B79
- https://doi.org/10.1103/PhysRev.137.B75
Abstract
The separable-potential approach of Mitra is extended by introducing an additional interaction which yields two-nucleon -wave phase shifts to 340 MeV. A calculation of the exact binding energy and wave function of a simplified three-body system is used to determine the role of short-range correlations and the associated off-energy-shell matrix elements of the interaction. We find that the three-body binding energy ranges from 9.33 to 8.40 MeV; the larger value is calculated using a two-body interaction fitting low-energy data only, while the smaller value results from including a hard-shell repulsion. A smooth repulsion, which is equivalent to the hard shell in the two-body problem, yields a three-body binding energy of 8.79 MeV.
Keywords
This publication has 23 references indexed in Scilit:
- Practical Theory of Three-Particle States. I. NonrelativisticPhysical Review B, 1964
- On the binding and scattering of the three-nucleon systemNuclear Physics, 1963
- The triton problem with tensor forcesNuclear Physics, 1963
- Three-Body Problem with Separable Potentials. II.ScatteringPhysical Review B, 1963
- Three-Particle Unitarity in Potential ScatteringPhysical Review B, 1963
- Simulation of the Hard Core by a Velocity DependencePhysical Review B, 1963
- Nuclear Matter Calculations and Phenomenological PotentialsPhysical Review B, 1962
- A potential model representation of two-nucleon data below 315 MeVNuclear Physics, 1962
- Three-body problem with separable potentialsNuclear Physics, 1962
- On the Nucleon-Nucleon InteractionPhysical Review B, 1951