Skip to main content
Log in

Equation of state of asymmetric nuclear matter: a VMC study

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

A Variational Monte Carlo (VMC) method is employed to investigate the properties of symmetric and asymmetric nuclear matter. The realistic Urbana V 14 twonucleon interaction potential of Lagaris and Pandharipande was used to describe the microscopic interactions. Also, many body interactions are included as a density dependent term in the potential. Total kinetic and potential energies per particle are calculated for asymmetric nuclear matter by VMC method at various densities and isospin asymmetry parameters. The results are compared with data found in literature, and it was observed that the results obtained in this study reasonably agree with the results found in the literature. Also, the symmetry energy and incompressibility factor of the nuclear matter were obtained. The results obtained are in good agreement with those obtained by various authors with different methods and techniques.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Manisa, U. Atav, R. Oğul, Int. J. Mod. Phys. E14, 255 (2005)

    ADS  Google Scholar 

  2. K. A. Brueckner, S. A. Coon, J. Dabrowski, Phys. Rev. 168, 1148 (1968)

    Article  Google Scholar 

  3. J. D. Walecka, Ann. Phys.-New York 83, 491 (1974)

    Article  ADS  Google Scholar 

  4. J. C. Owen, R. F. Bishop, J. M. Irvine, Nucl. Phys. A 177, 45 (1976)

    Google Scholar 

  5. J. C. Owen, R. F. Bishop, J. M. Irvine, Ann. Phys.-New York 102, 170 (1976)

    Article  ADS  Google Scholar 

  6. R. A. Freedman, Phys. Lett. 71B, 369 (1977)

    ADS  Google Scholar 

  7. J. M. Lattimer, D. G. Revenhall, Astrophys. J. 223, 314 (1978)

    Article  ADS  Google Scholar 

  8. B. D. Day, Rev. Mod. Phys. 50, 495 (1978)

    Article  ADS  Google Scholar 

  9. V. R. Pandharipande, R. B. Wiringa, Rev. Mod. Phys. 51, 821 (1979)

    Article  ADS  Google Scholar 

  10. I. E. Lagaris, V. R. Pandharipande, Nucl. Phys. A 359, 331 (1981)

    Article  ADS  Google Scholar 

  11. I. E. Lagaris, V. R. Pandharipande, Nucl. Phys. A 359, 349 (1981)

    Article  ADS  Google Scholar 

  12. B. Friedman, V. R. Pandharipande, Nucl. Phys. A 361, 502 (1981)

    Article  ADS  Google Scholar 

  13. I. E. Lagaris, V. R. Pandharipande, Nucl. Phys. A 369, 470 (1981)

    Article  ADS  Google Scholar 

  14. M. Prakash, T. L. Ainsworth, Phys. Rev. C 36, 346 (1987)

    Article  ADS  Google Scholar 

  15. H. Shen, H. Toki, K. Oyamatsu, K. Sumiyoshi, Nucl. Phys. A 637, 435 (1998)

    Article  ADS  Google Scholar 

  16. H. R. Moshfegh, M. Modarres, Nucl. Phys. A 759, 79 (2005)

    Article  ADS  Google Scholar 

  17. B. D. Serot, J. D. Walecka, Adv. Nucl. Phys. 16, 1 (1986)

    Google Scholar 

  18. M. Prakash, L. Ainsworth, Phys. Rev. C 36, 1052 (1987)

    Article  Google Scholar 

  19. J. M. Lattimer et al., Nucl. Phys. A 432, 646 (1985)

    Article  ADS  Google Scholar 

  20. F. Weber, M. K. Wigel, Nucl. Phys. A 493, 549 (1989)

    Article  ADS  Google Scholar 

  21. C. J. Pethick, D. G. Ravenhall, C. P. Lorentz, Nucl. Phys. A 584, 675 (1995)

    Article  ADS  Google Scholar 

  22. H. A. Bethe, Rev. Mod. Phys. 62, 801 (1990)

    Article  ADS  Google Scholar 

  23. I. Tanihata, Prog. Part. Nucl. Phys. 35, 505 (1995)

    Article  ADS  Google Scholar 

  24. P. G. Hansen, A. S. Jensen, B. Jonson, Annu. Rev. Nucl. Part. S. 45, 591 (1995)

    Article  ADS  Google Scholar 

  25. A. E. L. Dieperink et al., Phys. Rev. C 68, 0643307 (2003)

    Article  Google Scholar 

  26. B.-A. Li, C. M. Ko, Z. Ren, Phys. Rev. Lett. 78, 1644 (1997)

    Article  ADS  Google Scholar 

  27. W. L. McMillan, Phys. Rev. A 442, 138 (1965)

    Google Scholar 

  28. D. Ceperley, G. V. Chester, M. H. Kalos, Phys. Rev. B 16, 3081 (1977)

    Article  ADS  Google Scholar 

  29. M. A. Lee, K. E. Schmidt, M. H. Kalos, G. V. Chester, Phys. Rev. Lett. 46, 728 (1981)

    Article  ADS  Google Scholar 

  30. J. Lomnitz-Adler, V. R. Pandharipande, R. A. Smith, Nucl. Phys. A 361, 399 (1981)

    Article  ADS  Google Scholar 

  31. J. Carlson, Phys. Rev. C 38, 1879 (1988)

    Article  ADS  Google Scholar 

  32. K. Oyamatsu, K. Lida, Nucl. Phys. A 718, 363 (2003)

    Article  ADS  Google Scholar 

  33. D. N. Basu, P. Roy Chowdhury, C. Samanta, Acta Phys. Pol. B 37, 2869 (2006)

    ADS  Google Scholar 

  34. A. Akmal, V.R. Pandharipande, Phys. Rev. C 56, 2261 (1997)

    Article  ADS  Google Scholar 

  35. R. Jastrow, Phys. Rev. 98, 1479 (1955)

    Article  MATH  ADS  Google Scholar 

  36. K. Oyamatsu, I. Tanihata, Y. Sugahara, K. Sumiyoshi, H. Toki, Nucl. Phys. A 634, 3 (1998)

    Article  ADS  Google Scholar 

  37. I. Tanihata et al., Phys. Lett. B 160, 380 (1985)

    Article  ADS  Google Scholar 

  38. I. Tanihata et al., Phys. Rev. Lett. 55, 2676 (1985)

    Article  ADS  Google Scholar 

  39. J. Carlson, J. Morales Jr., V. R. Pandharipande, D. G. Ravenhall, Phys. Rev. C 68, 025802 (2003)

    Article  ADS  Google Scholar 

  40. P. Finelli, N. Kaiser, D. Vretenar, W. Weise, Nucl. Phys. A 735, 449 (2004)

    Article  ADS  Google Scholar 

  41. D. V. Shetty, S. J. Yennello, G. A. Souliotis, Phys. Rev. C 76, 024606 (2007)

    Article  ADS  Google Scholar 

  42. T. Li et al., Phys. Rev. Lett. 99, 162503 (2007)

    Article  ADS  Google Scholar 

  43. H. Muller, B. D. Serot, Phys. Rev. C 52, 2072 (1995)

    Article  ADS  Google Scholar 

  44. S. Zaryouni, H. R. Moshfegh, Nucl. Phys. A 734, 108 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kaan Manisa.

About this article

Cite this article

Manisa, K., Atav, Ü. & Sarıaydın, S. Equation of state of asymmetric nuclear matter: a VMC study. centr.eur.j.phys. 8, 587–595 (2010). https://doi.org/10.2478/s11534-009-0129-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11534-009-0129-2

Keywords

PACS (2008)

Navigation