# Superscaling in a dilute Fermi gas and the nucleon momentum distribution in nuclei

## Abstract

The superscaling observed in inclusive electron scattering is described within the dilute Fermi gas model with interaction between the particles. The comparison with the relativistic Fermi gas (RFG) model without interaction shows an improvement in the explanation of the scaling function f({psi}{sup '}) in the region {psi}{sup '}<-1, where the RFG result is f({psi}{sup '})=0. It is found that the behavior of f({psi}{sup '}) for {psi}{sup '}<-1 depends on the particular form of the general power-law asymptotics of the momentum distribution n(k){approx}1/k{sup 4+m} at large k. The best agreement with the empirical scaling function is found for m{approx_equal}4.5 in agreement with the asymptotics of n(k) in the coherent density fluctuation model where m=4. Thus, superscaling gives information about the asymptotics of n(k) and the NN forces.

- Authors:

- Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784 (Bulgaria)
- (Spain)
- Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)

- Publication Date:

- OSTI Identifier:
- 20995132

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.034319; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COMPARATIVE EVALUATIONS; DENSITY; DISTRIBUTION; ELECTRON-NUCLEON INTERACTIONS; ELECTRONS; FERMI GAS; FERMI GAS MODEL; FLUCTUATIONS; NUCLEAR FORCES; NUCLEI; NUCLEONS; RELATIVISTIC RANGE; SCALING

### Citation Formats

```
Antonov, A. N., Ivanov, M. V., Gaidarov, M. K., Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Guerra, E. Moya de, and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid.
```*Superscaling in a dilute Fermi gas and the nucleon momentum distribution in nuclei*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.034319.

```
Antonov, A. N., Ivanov, M. V., Gaidarov, M. K., Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Guerra, E. Moya de, & Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid.
```*Superscaling in a dilute Fermi gas and the nucleon momentum distribution in nuclei*. United States. doi:10.1103/PHYSREVC.75.034319.

```
Antonov, A. N., Ivanov, M. V., Gaidarov, M. K., Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Guerra, E. Moya de, and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid. Thu .
"Superscaling in a dilute Fermi gas and the nucleon momentum distribution in nuclei". United States.
doi:10.1103/PHYSREVC.75.034319.
```

```
@article{osti_20995132,
```

title = {Superscaling in a dilute Fermi gas and the nucleon momentum distribution in nuclei},

author = {Antonov, A. N. and Ivanov, M. V. and Gaidarov, M. K. and Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid and Guerra, E. Moya de and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid},

abstractNote = {The superscaling observed in inclusive electron scattering is described within the dilute Fermi gas model with interaction between the particles. The comparison with the relativistic Fermi gas (RFG) model without interaction shows an improvement in the explanation of the scaling function f({psi}{sup '}) in the region {psi}{sup '}<-1, where the RFG result is f({psi}{sup '})=0. It is found that the behavior of f({psi}{sup '}) for {psi}{sup '}<-1 depends on the particular form of the general power-law asymptotics of the momentum distribution n(k){approx}1/k{sup 4+m} at large k. The best agreement with the empirical scaling function is found for m{approx_equal}4.5 in agreement with the asymptotics of n(k) in the coherent density fluctuation model where m=4. Thus, superscaling gives information about the asymptotics of n(k) and the NN forces.},

doi = {10.1103/PHYSREVC.75.034319},

journal = {Physical Review. C, Nuclear Physics},

number = 3,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}