Log in

Pion tensor force and nuclear binding energy in the relativistic Hartree-Fock formalism

  • Nuclei
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

The binding energies of several isotopic families are studied within the relativistic Hartree-Fock approximation with the pseudovector coupling for the πN vertex, to find out a suitable strength for the effective pion tensor force (EPTF). An approximation for determining separately the contributions of the central and tensor forces generated by pion is considered. The results for heavy nuclei indicate that a realistic strength for the EPTF is smaller than a half of that appearing in the OPEP. This conclusion also applies to the results for the single-particle energies. Besides, it has been found that there is a genuine relativistic contribution of the EPTF in nuclear matter which is small but significant.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Fl. Stancu, D. M. Brink, and H. Flocard, Phys. Lett. B 68, 108 (1977).

    Article  ADS  Google Scholar 

  2. T. Otsuka, T. Matsuo, and D. Abe, Phys. Rev. Lett. 97, 162501 (2006).

    Article  ADS  Google Scholar 

  3. W. Zou, G. Colo, Z. Ma, et al., Phys. Rev. C 77, 014314 (2008).

    Article  ADS  Google Scholar 

  4. M. Zalewski, P. Olbratowski, M. Rafalski, et al., Phys. Rev. C 80, 064307 (2009).

    Article  ADS  Google Scholar 

  5. M. Angiano, G. Co’, V. De Donno, and A.M. Lallena, Phys. Rev. C 83, 064306 (2011).

    Article  ADS  Google Scholar 

  6. H. Nakada, Phys. Rev. C 81, 051302 (2010).

    Article  ADS  Google Scholar 

  7. Y. Z. Wang, J. Z. Gu, J. M. Dong, and X. Z. Zhang, Phys. Rev. C 83, 054305 (2011).

    Article  ADS  Google Scholar 

  8. T. Otsuka, Nucl. Phys. A 734, 365 (2004).

    Article  ADS  Google Scholar 

  9. T. Otsuka, T. Suzuki, R. Fujimoto, et al., Phys. Rev. Lett. 95, 232502 (2005).

    Article  ADS  Google Scholar 

  10. D.M. Brink and Fl. Stancu, Phys. Rev. C 75, 064311 (2007).

    Article  ADS  Google Scholar 

  11. L. N. Savushkin and V. N. Fomenko, Sov. J. Part. Nucl. 8, 371 (1977); Sov. J. Nucl. Phys. 28, 29 (1978).

    Google Scholar 

  12. M. López-Quelle, N. Van Giai, S. Marcos, and L. N. Savushkin, Phys. Rev. C 61, 064321 (2000).

    Article  ADS  Google Scholar 

  13. S. Marcos, M. López-Quelle, R. Niembro, and L. N. Savushkin, Phys. At. Nucl. 75, 1486 (2012).

    Article  Google Scholar 

  14. S. Marcos, M. López-Quelle, R. Niembro, and L. N. Savushkin, Phys. At. Nucl. 76, 562 (2013).

    Article  Google Scholar 

  15. A. Bouyssy, J.-F. Mathiot, Nguyen Van Giai, and S. Marcos, Phys. Rev. C 36, 380 (1987).

    Article  ADS  Google Scholar 

  16. P. Bernardos, V. N. Fomenko, Nguyen Van Giai, M. López-Quelle, S. Marcos, R. Niembro, and L. N. Savushkin, Phys. Rev. C 48, 2665 (1993).

    Article  ADS  Google Scholar 

  17. P. Bernardos, S. Marcos, R. Niembro, and M. López-Quelle, Phys. Lett. B 356, 175 (1995).

    Article  ADS  Google Scholar 

  18. L. N. Savushkin, S. Marcos, M. López-Quelle, P. Bernardos, V. N. Fomenko, and R. Niembro, Phys. Rev. C 55, 167 (1997).

    Article  ADS  Google Scholar 

  19. W.-H. Long, J. Meng, N. Van Giai, and S.-G. Zhou, Phys. Rev. C 69, 034319 (2004).

    Article  ADS  Google Scholar 

  20. W-H. Long, H. Sagawa, N. Van Giai, and J. Meng, Phys. Rev. C 76, 034314 (2007).

    Article  ADS  Google Scholar 

  21. A. Bouyssy, S. Marcos, and P. Van Thieu, Nucl. Phys. A 422, 541 (1984).

    Article  ADS  Google Scholar 

  22. R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989).

    Article  Google Scholar 

  23. R. Niembro, S. Marcos, M. López-Quelle, and L. N. Savushkin, Phys. At. Nucl. 75, 269 (2012).

    Article  Google Scholar 

  24. V. I. Isakov, Phys. Part. Nucl. 38, 269 (2007).

    Article  Google Scholar 

  25. C. Mahaux and H. Ngô, Nucl. Phys. A 378, 205 (1982).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Marcos.

Additional information

The text was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marcos, S., López-Quelle, M., Niembro, R. et al. Pion tensor force and nuclear binding energy in the relativistic Hartree-Fock formalism. Phys. Atom. Nuclei 77, 299–309 (2014). https://doi.org/10.1134/S1063778814020136

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778814020136

Keywords

Navigation