# Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy

## Abstract

This paper obtains expressions for recovering the central interaction potential of charged particles in the case when the interaction leads to multiplication of the S matrix defined in the complex plane of the Coulomb coupling constant by a rational S function. A study is made of the influence of the sign of the potential on the position of the poles of the S function and of the behavior of the phase shift.

- Authors:

- Publication Date:

- Research Org.:
- Odessa Constructional Engineering Institute

- OSTI Identifier:
- 5872860

- Resource Type:
- Journal Article

- Journal Name:
- Theor. Math. Phys.; (United States)

- Additional Journal Information:
- Journal Volume: 63:3; Other Information: Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 63, No. 3, pp. 340-346, June, 1985

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHARGED PARTICLES; INVERSE SCATTERING PROBLEM; ANGULAR MOMENTUM; COULOMB FIELD; COUPLING; JOST FUNCTION; ORBITAL ANGULAR MOMENTUM; PARTICLE INTERACTIONS; PARTICLE MODELS; PHASE SHIFT; POTENTIAL SCATTERING; ELASTIC SCATTERING; ELECTRIC FIELDS; FUNCTIONS; INTERACTIONS; MATHEMATICAL MODELS; SCATTERING; 645500* - High Energy Physics- Scattering Theory- (-1987)

### Citation Formats

```
Popushoi, M N.
```*Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy*. United States: N. p., 1985.
Web. doi:10.1007/BF01017500.

```
Popushoi, M N.
```*Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy*. United States. https://doi.org/10.1007/BF01017500

```
Popushoi, M N. Sun .
"Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy". United States. https://doi.org/10.1007/BF01017500.
```

```
@article{osti_5872860,
```

title = {Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy},

author = {Popushoi, M N},

abstractNote = {This paper obtains expressions for recovering the central interaction potential of charged particles in the case when the interaction leads to multiplication of the S matrix defined in the complex plane of the Coulomb coupling constant by a rational S function. A study is made of the influence of the sign of the potential on the position of the poles of the S function and of the behavior of the phase shift.},

doi = {10.1007/BF01017500},

url = {https://www.osti.gov/biblio/5872860},
journal = {Theor. Math. Phys.; (United States)},

number = ,

volume = 63:3,

place = {United States},

year = {1985},

month = {12}

}

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