# Feshbach projection operator method and few-body reaction models in Baer-Kouri-Levin-Tobocman many-body scattering theory

## Abstract

A generalization of the Feshbach projection operator method to include rearrangement in the context of the Baer, Kouri, Levin, and Tobocman many-body scattering theory has been proposed recently. The formalism provides a simplified set of connected kernal equations for an approximate transition operator matrix and an explicit procedure for relating the approximate transition operators to the exact ones. In this paper we extend the flexibility of the aforementioned generalization by making it possible to allow the approximate transition operators to couple fewer partitions than the exact ones. Particular attention is given to the case where the approximate transition operator matrix is the solution of coupled-reaction-channel--type equations for transitions between few cluster configurations of the system. It is also shown that all the equations derived here have connected kernels after iterations.

- Authors:

- Publication Date:

- Research Org.:
- Physics Department, Case Western Reserve University, Cleveland, Ohio 44106

- OSTI Identifier:
- 5922779

- Resource Type:
- Journal Article

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

- Additional Journal Information:
- Journal Volume: 20:3

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; MANY-BODY PROBLEM; PROJECTION OPERATORS; CLUSTER MODEL; COUPLED CHANNEL THEORY; EXCHANGE INTERACTIONS; HAMILTONIANS; PARTITION FUNCTIONS; FUNCTIONS; INTERACTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; QUANTUM OPERATORS; 653003* - Nuclear Theory- Nuclear Reactions & Scattering; 645500 - High Energy Physics- Scattering Theory- (-1987)

### Citation Formats

```
Goldflam, R, and Tobocman, W.
```*Feshbach projection operator method and few-body reaction models in Baer-Kouri-Levin-Tobocman many-body scattering theory*. United States: N. p., 1979.
Web. doi:10.1103/PhysRevC.20.904.

```
Goldflam, R, & Tobocman, W.
```*Feshbach projection operator method and few-body reaction models in Baer-Kouri-Levin-Tobocman many-body scattering theory*. United States. https://doi.org/10.1103/PhysRevC.20.904

```
Goldflam, R, and Tobocman, W. Sat .
"Feshbach projection operator method and few-body reaction models in Baer-Kouri-Levin-Tobocman many-body scattering theory". United States. https://doi.org/10.1103/PhysRevC.20.904.
```

```
@article{osti_5922779,
```

title = {Feshbach projection operator method and few-body reaction models in Baer-Kouri-Levin-Tobocman many-body scattering theory},

author = {Goldflam, R and Tobocman, W},

abstractNote = {A generalization of the Feshbach projection operator method to include rearrangement in the context of the Baer, Kouri, Levin, and Tobocman many-body scattering theory has been proposed recently. The formalism provides a simplified set of connected kernal equations for an approximate transition operator matrix and an explicit procedure for relating the approximate transition operators to the exact ones. In this paper we extend the flexibility of the aforementioned generalization by making it possible to allow the approximate transition operators to couple fewer partitions than the exact ones. Particular attention is given to the case where the approximate transition operator matrix is the solution of coupled-reaction-channel--type equations for transitions between few cluster configurations of the system. It is also shown that all the equations derived here have connected kernels after iterations.},

doi = {10.1103/PhysRevC.20.904},

url = {https://www.osti.gov/biblio/5922779},
journal = {Phys. Rev., C; (United States)},

number = ,

volume = 20:3,

place = {United States},

year = {1979},

month = {9}

}