Abstract
We investigate the accuracy of the energy-dependent pole expansion for the (3 + 1) and (2 + 2) subamplitudes in the calculation of the binding energy of the particle, , for separable potentials with tensor components. We employ the truncated -matrix () approximation and compare our results for to those obtained, independent of any separable expansion, by Gibson and Lehman and to the results for obtained with the Hilbert-Schmidt expansion of the subamplitudes. It is shown that the energy-dependent pole expansion is both more economical and converges faster than the Hilbert-Schmidt expansion, even one term of the energy-dependent pole approximation already being accurate to better than 1.5%.
NUCLEAR STRUCTURE Accuracy of energy-dependent pole expansion for calculation of -particle binding energy, compared to Hilbert-Schmidt expansion. Separable nucleon-nucleon potentials with tensor forces. Truncated -matrix approximation.
- Received 29 February 1980
DOI:https://doi.org/10.1103/PhysRevC.22.1772
©1980 American Physical Society