# Momentum-space Argonne V18 interaction

## Abstract

This paper gives a momentum-space representation of the Argonne V18 potential as an expansion in products of spin-isospin operators with scalar coefficient functions of the momentum transfer. Two representations of the scalar coefficient functions for the strong part of the interaction are given. One is as an expansion in an orthonormal basis of rational functions and the other as an expansion in Chebyshev polynomials on different intervals. Both provide practical and efficient representations for computing the momentum-space potential that do not require integration or interpolation. Programs based on both expansions are available as supplementary material. Analytic expressions are given for the scalar coefficient functions of the Fourier transform of the electromagnetic part of the Argonne V18. A simple method for computing the partial-wave projections of these interactions from the operator expressions is also given.

- Authors:

- Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 (United States)

- Publication Date:

- OSTI Identifier:
- 21596727

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. C, Nuclear Physics

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.84.034003; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; EXPANSION; FOURIER TRANSFORMATION; INTERACTIONS; INTERPOLATION; ISOSPIN; MATHEMATICAL MODELS; MOMENTUM TRANSFER; PARTIAL WAVES; SIMULATION; SPIN; ANGULAR MOMENTUM; INTEGRAL TRANSFORMATIONS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PARTICLE PROPERTIES; TRANSFORMATIONS

### Citation Formats

```
Veerasamy, S., and Polyzou, W. N.
```*Momentum-space Argonne V18 interaction*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVC.84.034003.

```
Veerasamy, S., & Polyzou, W. N.
```*Momentum-space Argonne V18 interaction*. United States. doi:10.1103/PHYSREVC.84.034003.

```
Veerasamy, S., and Polyzou, W. N. Thu .
"Momentum-space Argonne V18 interaction". United States. doi:10.1103/PHYSREVC.84.034003.
```

```
@article{osti_21596727,
```

title = {Momentum-space Argonne V18 interaction},

author = {Veerasamy, S. and Polyzou, W. N.},

abstractNote = {This paper gives a momentum-space representation of the Argonne V18 potential as an expansion in products of spin-isospin operators with scalar coefficient functions of the momentum transfer. Two representations of the scalar coefficient functions for the strong part of the interaction are given. One is as an expansion in an orthonormal basis of rational functions and the other as an expansion in Chebyshev polynomials on different intervals. Both provide practical and efficient representations for computing the momentum-space potential that do not require integration or interpolation. Programs based on both expansions are available as supplementary material. Analytic expressions are given for the scalar coefficient functions of the Fourier transform of the electromagnetic part of the Argonne V18. A simple method for computing the partial-wave projections of these interactions from the operator expressions is also given.},

doi = {10.1103/PHYSREVC.84.034003},

journal = {Physical Review. C, Nuclear Physics},

issn = {0556-2813},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}