# Effect of Tensor Range in Nuclear Two-Body Problems

## Abstract

The interaction between neutron and proton in the triplet state has been investigated. The central and tensor potentials have been assumed to be of the ''meson'' type but of possibly different ranges. The variational-iterational method has been utilized to determine V{sub o}, the strength of the central potential, and {gamma}V{sub o}, the strength of the tensor potential. A wide variation in the values of both central and tensor ranges were included. Calculations of this type have proved difficult in the past principally because of the sensitivity of the results to the quadrupole moment Q of the deuteron for which accurate wave functions are necessary. It would be desirable to have a more accurate value of Q deduced from experiment. The percent D state in the deuteron and the effective triplet range have also been computed. The results are applied to the discussion of the magnetic moment of the deuteron, the photoelectric disintegration of the deuteron, and neutron-proton scattering. It is concluded that experimental information on neutron-proton interaction at their present accuracy does not determine the range of the tensor forces except within rather broad limits. A decrease in the uncertainty in the triplet range by an order of magnitude wouldmore »

- Authors:

- Publication Date:

- Research Org.:
- Computational Laboratory of Harvard University, Cambridge, MA (US)

- Sponsoring Org.:
- US Atomic Energy Commission (AEC) (US)

- OSTI Identifier:
- 4395389

- Report Number(s):
- HUX-5

TRN: US200506%%318

- DOE Contract Number:
- AT(30-1)-497

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 1 Nov 1949

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ACCURACY; CENTRAL POTENTIAL; D STATES; NUCLEAR FORCES; QUADRUPOLE MOMENTS; TENSOR FORCES; TRIPLETS; TWO-BODY PROBLEM; WAVE FUNCTIONS; CHARGE INDEPENDENCE; DECAY; DEUTERONS; ERRORS; INTERACTIONS; MAGNETIC MOMENTS; MATHEMATICS; MESONS; NEUTRONS; NUCLEAR MODELS; PHOTOELECTRIC EFFECT; PROTONS; QUADRUPOLES; SCATTERING; SENSITIVITY; TENSORS; VARIATIONAL METHODS; VARIATIONS; VECTORS

### Citation Formats

```
Feshbach, H., Schwinger, J., and Harr, J.A.
```*Effect of Tensor Range in Nuclear Two-Body Problems*. United States: N. p., 1949.
Web. doi:10.2172/4395389.

```
Feshbach, H., Schwinger, J., & Harr, J.A.
```*Effect of Tensor Range in Nuclear Two-Body Problems*. United States. doi:10.2172/4395389.

```
Feshbach, H., Schwinger, J., and Harr, J.A. Tue .
"Effect of Tensor Range in Nuclear Two-Body Problems". United States.
doi:10.2172/4395389. https://www.osti.gov/servlets/purl/4395389.
```

```
@article{osti_4395389,
```

title = {Effect of Tensor Range in Nuclear Two-Body Problems},

author = {Feshbach, H. and Schwinger, J. and Harr, J.A.},

abstractNote = {The interaction between neutron and proton in the triplet state has been investigated. The central and tensor potentials have been assumed to be of the ''meson'' type but of possibly different ranges. The variational-iterational method has been utilized to determine V{sub o}, the strength of the central potential, and {gamma}V{sub o}, the strength of the tensor potential. A wide variation in the values of both central and tensor ranges were included. Calculations of this type have proved difficult in the past principally because of the sensitivity of the results to the quadrupole moment Q of the deuteron for which accurate wave functions are necessary. It would be desirable to have a more accurate value of Q deduced from experiment. The percent D state in the deuteron and the effective triplet range have also been computed. The results are applied to the discussion of the magnetic moment of the deuteron, the photoelectric disintegration of the deuteron, and neutron-proton scattering. It is concluded that experimental information on neutron-proton interaction at their present accuracy does not determine the range of the tensor forces except within rather broad limits. A decrease in the uncertainty in the triplet range by an order of magnitude would be required. Finally it is concluded that charge independence of nuclear forces can be maintained with the meson well.},

doi = {10.2172/4395389},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Nov 01 00:00:00 EST 1949},

month = {Tue Nov 01 00:00:00 EST 1949}

}