# THEORY OF MULTIPLE COULOMB SCATTERING FROM EXTENDED NUCLEI

## Abstract

Two independent methods are described for calculating the multiple scattering distribution for projected angle scattering resulting when very high energy charged particles traverse a thick scatterer. The single scattering law for projected angle scattering is taken to be the Rutherford scattering law for projected angle scattering modified at small angles by electron shielding and at large angles by a nuclear form factor F{sub n}({phi}/{phi}{sub o}) which gives the effect of the finite nuclear size. The calculations can be carried through for any reasonable choice of F{sub n} and have been carried through for two suggested choices of F{sub n} for the examples of fast {mu}-meson scattering in 2 cm and 5 cm thick lead slabs, with good agreement for the two methods of calculation. The results are compared with the theories of Moliere and Olbert.

- Authors:

- Publication Date:

- Research Org.:
- Nevis Cyclotron Labs., Columbia Univ. (US)

- Sponsoring Org.:
- US Atomic Energy Commission (AEC) and Office of Naval Research (ONR) (US)

- OSTI Identifier:
- 4404609

- Report Number(s):
- CU-70-54-ONR-110-1-Ph; NEVIS-4

TRN: US200509%%73

- DOE Contract Number:
- N6-ORI-110, TASK NO. 1

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 1 Aug 1954

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; COULOMB SCATTERING; DISTRIBUTION; ELECTRONS; FORM FACTORS; RUTHERFORD SCATTERING; SHIELDING; ANGULAR DISTRIBUTION; ATOMIC MODELS; CHARGED PARTICLES; CONFIGURATION; ELECTRIC FIELDS; ENERGY RANGE; LEAD; MOLIERE THEORY; MULTIPLE SCATTERING; MUONS; NUCLEAR MODELS; NUCLEI; SCATTERING; THICKNESS

### Citation Formats

```
Cooper, L.N., and Rainwater, J..
```*THEORY OF MULTIPLE COULOMB SCATTERING FROM EXTENDED NUCLEI*. United States: N. p., 1954.
Web. doi:10.2172/4404609.

```
Cooper, L.N., & Rainwater, J..
```*THEORY OF MULTIPLE COULOMB SCATTERING FROM EXTENDED NUCLEI*. United States. doi:10.2172/4404609.

```
Cooper, L.N., and Rainwater, J.. Sun .
"THEORY OF MULTIPLE COULOMB SCATTERING FROM EXTENDED NUCLEI". United States.
doi:10.2172/4404609. https://www.osti.gov/servlets/purl/4404609.
```

```
@article{osti_4404609,
```

title = {THEORY OF MULTIPLE COULOMB SCATTERING FROM EXTENDED NUCLEI},

author = {Cooper, L.N. and Rainwater, J.},

abstractNote = {Two independent methods are described for calculating the multiple scattering distribution for projected angle scattering resulting when very high energy charged particles traverse a thick scatterer. The single scattering law for projected angle scattering is taken to be the Rutherford scattering law for projected angle scattering modified at small angles by electron shielding and at large angles by a nuclear form factor F{sub n}({phi}/{phi}{sub o}) which gives the effect of the finite nuclear size. The calculations can be carried through for any reasonable choice of F{sub n} and have been carried through for two suggested choices of F{sub n} for the examples of fast {mu}-meson scattering in 2 cm and 5 cm thick lead slabs, with good agreement for the two methods of calculation. The results are compared with the theories of Moliere and Olbert.},

doi = {10.2172/4404609},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sun Aug 01 00:00:00 EDT 1954},

month = {Sun Aug 01 00:00:00 EDT 1954}

}