# Tensor Forces and the Ground-State Structure of Nuclei

## Abstract

Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number A {le} 8, using accurate variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of 'np' pairs is found to be much larger than that of 'pp' pairs for values of the relative momentum in the range (300--600) MeV/c and vanishing total momentum. This large difference, more than an order of magnitude, is seen in all nuclei considered, and has a universal character originating from the tensor components present in any realistic nucleon-nucleon potential. The correlations induced by the tensor force strongly influence the structure of 'np' pairs, which are known to be predominantly in deuteron-like states, while they are ineffective for 'pp' pairs, which are mostly in {sup 1}S{sub 0} states. These features should be easily observable in two-nucleon knock-out processes, for example in A(e,e{prime} np) and A(e,e{prime} pp) reactions.

- Authors:

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility, Newport News, VA

- Sponsoring Org.:
- USDOE - Office of Energy Research (ER)

- OSTI Identifier:
- 894644

- Report Number(s):
- JLAB-THY-06-562; DOE/ER/40150-4105

TRN: US0700189

- DOE Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys.Rev.Lett.; Journal Volume: 98

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DISTRIBUTION; GROUND STATES; HAMILTONIANS; MASS NUMBER; NUCLEI; NUCLEON-NUCLEON POTENTIAL; TENSOR FORCES; WAVE FUNCTIONS

### Citation Formats

```
Rocco Schiavilla.
```*Tensor Forces and the Ground-State Structure of Nuclei*. United States: N. p., 2007.
Web. doi:10.1103/PhysRevLett.98.132501.

```
Rocco Schiavilla.
```*Tensor Forces and the Ground-State Structure of Nuclei*. United States. doi:10.1103/PhysRevLett.98.132501.

```
Rocco Schiavilla. Thu .
"Tensor Forces and the Ground-State Structure of Nuclei". United States.
doi:10.1103/PhysRevLett.98.132501. https://www.osti.gov/servlets/purl/894644.
```

```
@article{osti_894644,
```

title = {Tensor Forces and the Ground-State Structure of Nuclei},

author = {Rocco Schiavilla},

abstractNote = {Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number A {le} 8, using accurate variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of 'np' pairs is found to be much larger than that of 'pp' pairs for values of the relative momentum in the range (300--600) MeV/c and vanishing total momentum. This large difference, more than an order of magnitude, is seen in all nuclei considered, and has a universal character originating from the tensor components present in any realistic nucleon-nucleon potential. The correlations induced by the tensor force strongly influence the structure of 'np' pairs, which are known to be predominantly in deuteron-like states, while they are ineffective for 'pp' pairs, which are mostly in {sup 1}S{sub 0} states. These features should be easily observable in two-nucleon knock-out processes, for example in A(e,e{prime} np) and A(e,e{prime} pp) reactions.},

doi = {10.1103/PhysRevLett.98.132501},

journal = {Phys.Rev.Lett.},

number = ,

volume = 98,

place = {United States},

year = {Thu Mar 01 00:00:00 EST 2007},

month = {Thu Mar 01 00:00:00 EST 2007}

}