Sturmian projection and an L/sup 2/ discretization of three-body continuum effects
This paper investigates the ability of an L/sup 2/ discretization procedure to approximate three-body continuum effects using a finite dimensional Sturmian basis. The approximation is tested in three-body connected kernel equations of the Alt-Grassberger-Sandhas--type. The numerical accuracy of the approximate L/sup 2/ discretized equations is tested by solving a model problem of three bosons interacting via S-wave nonseparable potentials. The potentials are either an attractive Yukawa function, or a sum of two Yukawa functions, one attractive and one repulsive. Numerical results are compared with those of three-body calculations for energies below the breakup threshold. It is found that three-body, connected kernel equations respond remarkably well to the L/sup 2/ discretization procedure both on and off shell.
- Research Organization:
- Theoretical Physics Division, National Research Institute for Mathematical Sciences of the Council for Scientific and Industrial Research, Pretoria 0001, Republic of South Africa
- OSTI ID:
- 5367901
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:3; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM OPERATORS
BREAKUP REACTIONS
DISTANCE
EIGENSTATES
ENERGY
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
INTERACTION RANGE
KERNELS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
PARTIAL WAVES
POTENTIALS
QUANTUM OPERATORS
S WAVES
SHELL MODELS
THREE-BODY PROBLEM
THRESHOLD ENERGY
TWO-BODY PROBLEM
WAVE FUNCTIONS
YUKAWA POTENTIAL