Skip to main content
Log in

S-matrix approach to the equation of state of dilute nuclear matter

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

Based on the general analysis of the grand canonical partition function in the S-matrix framework, a method is presented to calculate the equation of state of dilute warm nuclear matter. The result is a model-independent virial series for the pressure and density that systematically includes contributions from all the ground and excited states of all the stable nuclear species and their scattering channels. The multiplicity distribution of these species to keep the matter in statistical equilibrium is found out and then the pressure, incompressibility and the symmetry energy of the system are evaluated. The calculated symmetry energy coefficients are found to be in fair agreement with the recent experimental data.

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.

Figure 1
Figure 2
Figure 3
Figure 4

Similar content being viewed by others

References

  1. P Möller et al, Phys. Rev. Lett. 108, 052501 (2012)

  2. J P Blaizot, Phys. Rep. 64, 171 (1980)

    Google Scholar 

  3. H Jiang, G J Fu, Y M Zhao and A Arima, Phys. Rev. C 85, 024301 (2012)

  4. M Centelles, X Roca-Maza, X Viñas and M Warda, Phys. Rev. Lett. 102, 122502 (2009)

    Google Scholar 

  5. B K Agrawal, J N De and S K Samaddar, Phys. Rev. Lett. 109, 262501 (2012)

  6. B K Agrawal, J N De, S K Samaddar, G Col̀o and A Sulaksono, Phys. Rev. C 87, 151306(R) (2013)

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

    Google Scholar 

  8. A Akmal, V R Pandharipande and D G Ravenhall, Phys. Rev. C 58, 1804 (1998)

    Google Scholar 

  9. E Beth and G E Uhlenbeck, Physica 4, 915 (1937)

  10. A Pais and G E Uhlenbeck, Phys. Rev. 116, 250 (1959)

  11. C J Horowitz and A Schwenk, Nucl. Phys. A 776, 55 (2006); Phys. Lett. B 638, 153 (2006)

    Google Scholar 

  12. E O’Connor, D Gazit, C J Horowitz, A Schwenk and M Barnea, Phys. Rev. C 75, 055803 (2007)

  13. R Dashen, S-K Ma and H J Bernstein, Phys. Rev. 187, 345 (1969)

  14. R Dashen and R Rajaraman, Phys. Rev. D 10, 694 (1974)

  15. R Dashen and R Rajaraman, Phys. Rev. D 10, 708 (1974)

  16. A Bohr and B R Mottelson, Nuclear structure (W.A. Benjamin Inc., 1969) Vol. I

  17. S Mallik, J N De, S K Samaddar and Sourav Sarkar, Phys. Rev. C 77, 032201(R) (2008)

  18. J N De and S K Samaddar, Phys. Rev. C 78, 065204 (2008)

    Google Scholar 

  19. S K Samaddar, J N De, X Viñas and M Centelles, Phys. Rev. C 80, 035803 (2009)

    Google Scholar 

  20. WD Myers andWJ Swiatecki, Nucl Phys. A 601, 141 (2003) (Lawrence Berkeley Laboratory Report, LBL-36803)

    Google Scholar 

  21. H-Th. Janka et al, Phys. Rep. 442, 38 (2007)

  22. A W Steiner, M Prakash, J M Lattimer and P J Ellis, Phys. Rep. 411, 325 (2005)

  23. J N De, S K Samaddar and B K Agrawal, Phys. Rev. C 82, 045201 (2010)

    Google Scholar 

  24. S Kowalski et al, Phys. Rev.C 75, 014601 (2007)

  25. J B Natowitz et al, Phys. Rev. Lett. 104, 202501 (2010)

  26. A Ono et al, Phys. Rev. C 68, 051601(R) (2003)

  27. S Albergo, S Costa, E Costanzo and A Rubbino, Nuovo Cimento A 89, 1 (1985)

    Google Scholar 

  28. S K Samaddar and J N De, Phys. Rev. C 79, 051602(R) (2009)

  29. S K Samaddar and J N De, Phys. Rev. C 81, 041601(R) (2010)

Download references

Acknowledgements

JND and SKS acknowledge the support from the Department of Science & Technology, Government of India.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J N DE.

Rights and permissions

Reprints and permissions

About this article

Cite this article

DE, J.N., SAMADDAR, S.K. & AGRAWAL, B.K. S-matrix approach to the equation of state of dilute nuclear matter. Pramana - J Phys 82, 625–635 (2014). https://doi.org/10.1007/s12043-014-0711-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-014-0711-z

Keywords

PACS Nos

Navigation