Separable pole expansions in four-nucleon bound state calculations
We compare the utility of the generalized unitary pole expansion and the energy-dependent pole expansion for the three-body subsystem amplitudes in four-body bound state calculations for a variety of separable and local nucleon-nucleon interactions. It is found that, with the energy-dependent pole expansion, the four-body binding energy is well reproduced with only two terms each for the (2+2) and the (3+1) subsystems, respectively, while the generalized unitary pole expansion requires three terms for the (3+1) channel and four terms for the (2+2) channel. We thus conclude that pole dominance is of greater importance for the generalized unitary pole expansion than for the energy-dependent pole expansion, which works equally well for both types of subsystems. It is found that both methods, in particular the energy-dependent pole expansion, converge more rapidly with increasing repulsion in the two-body interaction, i.e., the more realistic the interaction becomes. Both expansions require similar computing times for a converged calculation and are about 15--20 times faster than the widely used Hilbert-Schmidt expansion. The respective merits of the two pole expansions are discussed and compared with the Hilbert-Schmidt expansion.
- Research Organization:
- Physics Department, University of South Africa, P. O. Box 392, Pretoria, South Africa
- OSTI ID:
- 5077009
- Journal Information:
- Phys. Rev. C; (United States), Vol. 26:1
- Country of Publication:
- United States
- Language:
- English
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BINDING ENERGY
ENERGY DEPENDENCE
ISOSPIN
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ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
ENERGY
HADRON-HADRON INTERACTIONS
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MANY-BODY PROBLEM
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653001* - Nuclear Theory- Nuclear Structure
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Spin
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