# ON THE THEORY OF THE POLARIZATION OF NUCLEONS BY DEUTERONS

## Abstract

In anticipation of the availability of the phase-shifts and mixing parameters, which are being calculated by Bransden, Smith, and Tate for the elastic scattering of nucleons by deuterons (with tensor forces), the von Neuman density matrix and Racah algebra were used to derive expressions for the average value of the spin operator in the emerging beam of nucleons after single and double scattering from unpolarized deuterons. The values of the geometrical factors which appear in these expressions were calculated on an IBM-650 digital computing machine and are given in the form of tables. The range of the angular momentum quantum numbers was chosen to cover nucleon-nucleon and nucleon-deuteron prolems up to J, the total angular momentum, equal to five. (auth)

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab., Lemont, Ill.

- OSTI Identifier:
- 4244139

- Report Number(s):
- ANL-5910

- NSA Number:
- NSA-13-012045

- DOE Contract Number:
- W-31-109-ENG-38

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-59

- Country of Publication:
- United States

- Language:
- English

- Subject:
- PHYSICS AND MATHEMATICS; ANGULAR MOMENTUM; DEUTERONS; MATHEMATICS; MATRICES; MOMENTUM; NUCLEAR THEORY; NUCLEONS; POLARIZATION; PROGRAMMING; QUANTUM MECHANICS; SCATTERING; SPECTRAL SHIFT; SPIN

### Citation Formats

```
Smith, K., and Peshkin, M.
```*ON THE THEORY OF THE POLARIZATION OF NUCLEONS BY DEUTERONS*. United States: N. p., 1959.
Web. doi:10.2172/4244139.

```
Smith, K., & Peshkin, M.
```*ON THE THEORY OF THE POLARIZATION OF NUCLEONS BY DEUTERONS*. United States. doi:10.2172/4244139.

```
Smith, K., and Peshkin, M. Wed .
"ON THE THEORY OF THE POLARIZATION OF NUCLEONS BY DEUTERONS". United States. doi:10.2172/4244139. https://www.osti.gov/servlets/purl/4244139.
```

```
@article{osti_4244139,
```

title = {ON THE THEORY OF THE POLARIZATION OF NUCLEONS BY DEUTERONS},

author = {Smith, K. and Peshkin, M.},

abstractNote = {In anticipation of the availability of the phase-shifts and mixing parameters, which are being calculated by Bransden, Smith, and Tate for the elastic scattering of nucleons by deuterons (with tensor forces), the von Neuman density matrix and Racah algebra were used to derive expressions for the average value of the spin operator in the emerging beam of nucleons after single and double scattering from unpolarized deuterons. The values of the geometrical factors which appear in these expressions were calculated on an IBM-650 digital computing machine and are given in the form of tables. The range of the angular momentum quantum numbers was chosen to cover nucleon-nucleon and nucleon-deuteron prolems up to J, the total angular momentum, equal to five. (auth)},

doi = {10.2172/4244139},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1959},

month = {4}

}