# Study of resonant structures in a deformed mean field by the contour deformation method in momentum space

## Abstract

Solution of the momentum space Schroedinger equation in the case of deformed fields is being addressed. In particular it is shown that a complete set of single-particle states that includes bound, resonant, and complex continuum states may be obtained by the contour deformation method. This generalized basis in the complex energy plane is known as a Berggren basis. The momentum space Schroedinger equation is an integral equation that is easily solved by matrix diagonalization routines even for the case of deformed fields. The method is demonstrated for axial symmetry and a fictitious ''deformed {sup 5}He'' but may be extended to more general deformation and applied to truly deformed halo nuclei.

- Authors:

- Department of Physics and Technology, University of Bergen, N-5007 Bergen (Norway)

- Publication Date:

- OSTI Identifier:
- 20771344

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.034321; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; AXIAL SYMMETRY; HELIUM 5; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; NUCLEAR DEFORMATION; NUCLEAR HALOS; SCHROEDINGER EQUATION

### Citation Formats

```
Hagen, G., and Vaagen, J.S..
```*Study of resonant structures in a deformed mean field by the contour deformation method in momentum space*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevC.73.034321.

```
Hagen, G., & Vaagen, J.S..
```*Study of resonant structures in a deformed mean field by the contour deformation method in momentum space*. United States. doi:10.1103/PhysRevC.73.034321.

```
Hagen, G., and Vaagen, J.S.. Wed .
"Study of resonant structures in a deformed mean field by the contour deformation method in momentum space". United States.
doi:10.1103/PhysRevC.73.034321.
```

```
@article{osti_20771344,
```

title = {Study of resonant structures in a deformed mean field by the contour deformation method in momentum space},

author = {Hagen, G. and Vaagen, J.S.},

abstractNote = {Solution of the momentum space Schroedinger equation in the case of deformed fields is being addressed. In particular it is shown that a complete set of single-particle states that includes bound, resonant, and complex continuum states may be obtained by the contour deformation method. This generalized basis in the complex energy plane is known as a Berggren basis. The momentum space Schroedinger equation is an integral equation that is easily solved by matrix diagonalization routines even for the case of deformed fields. The method is demonstrated for axial symmetry and a fictitious ''deformed {sup 5}He'' but may be extended to more general deformation and applied to truly deformed halo nuclei.},

doi = {10.1103/PhysRevC.73.034321},

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

number = 3,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}

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