# Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions

## Abstract

We derive the necessary boundary conditions required to ensure unique solutions of a new noncompact-kernel integral equation for three-particle scattering. We give an abstract analysis to determine all solutions of this equation. Configuration space boundary conditions are derived to single out the physical solution.

- Authors:

- Publication Date:

- Research Org.:
- Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242

- OSTI Identifier:
- 6257357

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. C; (United States)

- Additional Journal Information:
- Journal Volume: 30:4

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; THREE-BODY PROBLEM; INTEGRAL EQUATIONS; BOUNDARY CONDITIONS; HAMILTONIANS; KERNELS; QUANTUM MECHANICS; WAVE FUNCTIONS; EQUATIONS; FUNCTIONS; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; 653003* - Nuclear Theory- Nuclear Reactions & Scattering; 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics

### Citation Formats

```
Polyzou, W N, Klink, W H, and Payne, G L.
```*Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions*. United States: N. p., 1984.
Web. doi:10.1103/PhysRevC.30.1140.

```
Polyzou, W N, Klink, W H, & Payne, G L.
```*Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions*. United States. doi:10.1103/PhysRevC.30.1140.

```
Polyzou, W N, Klink, W H, and Payne, G L. Mon .
"Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions". United States. doi:10.1103/PhysRevC.30.1140.
```

```
@article{osti_6257357,
```

title = {Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions},

author = {Polyzou, W N and Klink, W H and Payne, G L},

abstractNote = {We derive the necessary boundary conditions required to ensure unique solutions of a new noncompact-kernel integral equation for three-particle scattering. We give an abstract analysis to determine all solutions of this equation. Configuration space boundary conditions are derived to single out the physical solution.},

doi = {10.1103/PhysRevC.30.1140},

journal = {Phys. Rev. C; (United States)},

number = ,

volume = 30:4,

place = {United States},

year = {1984},

month = {10}

}

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