# Center-of-mass correction in a relativistic Hartree approximation including meson degrees of freedom

## Abstract

We use the Peierls-Yoccoz projection method to study the motion of a relativistic system of nucleons interacting with sigma and omega mesons, generalizing a method developed for the alpha particle. The nuclear system is described in a mean-field Hartree approach, including explicitly the meson contribution. The formalism is applied to {sup 4}He, {sup 16}O, and {sup 40}Ca. The center-of-mass correction makes the system too much bounded. It turns out that a new set of model parameters is needed when the center-of-mass motion is consistently treated with respect to the traditional approaches. An appropriate refitting of the model brings the radii and binding energies to reasonable values for the oxygen and calcium.

- Authors:

- Center for Computational Physics and Physics Department, University of Coimbra, P-3004-516 Coimbra (Portugal)
- Depto de Fisica, CFM, Universidade Federal de Santa Catarina, Florianopolis, SC, CP. 476, CEP 88.040-900 (Brazil)

- Publication Date:

- OSTI Identifier:
- 20995286

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.054324; (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; ALPHA PARTICLES; BINDING ENERGY; CALCIUM; CALCIUM 40; CENTER-OF-MASS SYSTEM; CORRECTIONS; DEGREES OF FREEDOM; HARTREE-FOCK METHOD; HELIUM 4; MESONS; NUCLEONS; OXYGEN; OXYGEN 16; RELATIVISTIC RANGE

### Citation Formats

```
Alberto, P., Fiolhais, M., Avancini, S. S., and Marinelli, J. R.
```*Center-of-mass correction in a relativistic Hartree approximation including meson degrees of freedom*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.054324.

```
Alberto, P., Fiolhais, M., Avancini, S. S., & Marinelli, J. R.
```*Center-of-mass correction in a relativistic Hartree approximation including meson degrees of freedom*. United States. doi:10.1103/PHYSREVC.75.054324.

```
Alberto, P., Fiolhais, M., Avancini, S. S., and Marinelli, J. R. Tue .
"Center-of-mass correction in a relativistic Hartree approximation including meson degrees of freedom". United States.
doi:10.1103/PHYSREVC.75.054324.
```

```
@article{osti_20995286,
```

title = {Center-of-mass correction in a relativistic Hartree approximation including meson degrees of freedom},

author = {Alberto, P. and Fiolhais, M. and Avancini, S. S. and Marinelli, J. R.},

abstractNote = {We use the Peierls-Yoccoz projection method to study the motion of a relativistic system of nucleons interacting with sigma and omega mesons, generalizing a method developed for the alpha particle. The nuclear system is described in a mean-field Hartree approach, including explicitly the meson contribution. The formalism is applied to {sup 4}He, {sup 16}O, and {sup 40}Ca. The center-of-mass correction makes the system too much bounded. It turns out that a new set of model parameters is needed when the center-of-mass motion is consistently treated with respect to the traditional approaches. An appropriate refitting of the model brings the radii and binding energies to reasonable values for the oxygen and calcium.},

doi = {10.1103/PHYSREVC.75.054324},

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

number = 5,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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