### Projection of angular momentum via linear algebra

Projection of many-body states with good angular momentum from an initial state is usually accomplished by a three-dimensional integral. Here, we show how projection can instead be done by solving a straightforward system of linear equations. We demonstrate the method and give sample applications to $$^{48}$$Cr and $$^{60}$$Fe in the $pf$ shell. This new projection scheme, which is competitive against the standard numerical quadrature, should also be applicable to other quantum numbers such as isospin and particle number.

- Publication Date:

- Grant/Contract Number:
- FG02-03ER41272

- Type:
- Accepted Manuscript

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2469-9985

- Publisher:
- American Physical Society (APS)

- Research Org:
- San Diego State Univ., San Diego, CA (United States)

- Sponsoring Org:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; mean-field; angular momentum projection

- OSTI Identifier:
- 1430220

- Alternate Identifier(s):
- OSTI ID: 1410865

```
Johnson, Calvin W., and O'Mara, Kevin D..
```*Projection of angular momentum via linear algebra*. United States: N. p.,
Web. doi:10.1103/PhysRevC.96.064304.

```
Johnson, Calvin W., & O'Mara, Kevin D..
```*Projection of angular momentum via linear algebra*. United States. doi:10.1103/PhysRevC.96.064304.

```
Johnson, Calvin W., and O'Mara, Kevin D.. 2017.
"Projection of angular momentum via linear algebra". United States.
doi:10.1103/PhysRevC.96.064304.
```

```
@article{osti_1430220,
```

title = {Projection of angular momentum via linear algebra},

author = {Johnson, Calvin W. and O'Mara, Kevin D.},

abstractNote = {Projection of many-body states with good angular momentum from an initial state is usually accomplished by a three-dimensional integral. Here, we show how projection can instead be done by solving a straightforward system of linear equations. We demonstrate the method and give sample applications to $^{48}$Cr and $^{60}$Fe in the $pf$ shell. This new projection scheme, which is competitive against the standard numerical quadrature, should also be applicable to other quantum numbers such as isospin and particle number.},

doi = {10.1103/PhysRevC.96.064304},

journal = {Physical Review C},

number = 6,

volume = 96,

place = {United States},

year = {2017},

month = {12}

}