Separable pole expansions in four-nucleon bound state calculations

Journal Article · Thu Jul 01 04:00:00 EDT 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.228· OSTI ID:5077009

Sofianos, S A; Fiedeldey, H; Haberzettl, H; Sandhas, W

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), Journal Name: Phys. Rev. C; (United States) Vol. 26:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BINDING ENERGY
BOUND STATE
ENERGY
ENERGY DEPENDENCE
FOUR-BODY PROBLEM
HADRON-HADRON INTERACTIONS
INTERACTIONS
ISOSPIN
MANY-BODY PROBLEM
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
SPIN
UNITARY POLE APPROXIMATION