Cluster expansion of the three-body problem: Nonseparable interactions

Journal Article · Fri Oct 01 00:00:00 EDT 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.1369· OSTI ID:6693778

Eyre, D; Osborn, T A

This paper investigates the ability of a cluster expansion to construct accurate approximate solutions for the three-body problem where the pairwise interactions are nonseparable potentials. Our approach is to employ the Karlsson-Zeiger integral equation formalism and the decoupling scheme of Bolle and Kuzmichev to construct an effective intercluster potential for the three-body problem. This effective potential takes into account all virtual excitations of the three-body breakup channel. It is found that a simplifying approximation to the effective potential, utilizing only the first few terms of a cluster expansion, yields accurate numerical solutions in the bound state and low energy elastic scattering sectors. In this paper we give numerical results for a system composed of three bosons interacting via the S-wave projection of a Yukawa potential.

• Research Organization: National Research Institute for Mathematical Sciences of the Council of Scientific and Industrial Research, Pretoria 0001, Republic of South Africa
• OSTI ID: 6693778
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 26:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645200* -- High Energy Physics-- Particle Interactions & Properties-Theoretical
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
BOUND STATE
CLUSTER EXPANSION
EFFECTIVE RANGE THEORY
ELASTIC SCATTERING
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUMERICAL SOLUTION
PARTIAL WAVES
POTENTIALS
S WAVES
SCATTERING
SERIES EXPANSION
THREE-BODY PROBLEM
YUKAWA POTENTIAL