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.
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P Möller et al, Phys. Rev. Lett. 108, 052501 (2012)
J P Blaizot, Phys. Rep. 64, 171 (1980)
H Jiang, G J Fu, Y M Zhao and A Arima, Phys. Rev. C 85, 024301 (2012)
M Centelles, X Roca-Maza, X Viñas and M Warda, Phys. Rev. Lett. 102, 122502 (2009)
B K Agrawal, J N De and S K Samaddar, Phys. Rev. Lett. 109, 262501 (2012)
B K Agrawal, J N De, S K Samaddar, G Col̀o and A Sulaksono, Phys. Rev. C 87, 151306(R) (2013)
B Friedman and V R Pandharipande, Nucl. Phys. A 361, 502 (1981)
A Akmal, V R Pandharipande and D G Ravenhall, Phys. Rev. C 58, 1804 (1998)
E Beth and G E Uhlenbeck, Physica 4, 915 (1937)
A Pais and G E Uhlenbeck, Phys. Rev. 116, 250 (1959)
C J Horowitz and A Schwenk, Nucl. Phys. A 776, 55 (2006); Phys. Lett. B 638, 153 (2006)
E O’Connor, D Gazit, C J Horowitz, A Schwenk and M Barnea, Phys. Rev. C 75, 055803 (2007)
R Dashen, S-K Ma and H J Bernstein, Phys. Rev. 187, 345 (1969)
R Dashen and R Rajaraman, Phys. Rev. D 10, 694 (1974)
R Dashen and R Rajaraman, Phys. Rev. D 10, 708 (1974)
A Bohr and B R Mottelson, Nuclear structure (W.A. Benjamin Inc., 1969) Vol. I
S Mallik, J N De, S K Samaddar and Sourav Sarkar, Phys. Rev. C 77, 032201(R) (2008)
J N De and S K Samaddar, Phys. Rev. C 78, 065204 (2008)
S K Samaddar, J N De, X Viñas and M Centelles, Phys. Rev. C 80, 035803 (2009)
WD Myers andWJ Swiatecki, Nucl Phys. A 601, 141 (2003) (Lawrence Berkeley Laboratory Report, LBL-36803)
H-Th. Janka et al, Phys. Rep. 442, 38 (2007)
A W Steiner, M Prakash, J M Lattimer and P J Ellis, Phys. Rep. 411, 325 (2005)
J N De, S K Samaddar and B K Agrawal, Phys. Rev. C 82, 045201 (2010)
S Kowalski et al, Phys. Rev.C 75, 014601 (2007)
J B Natowitz et al, Phys. Rev. Lett. 104, 202501 (2010)
A Ono et al, Phys. Rev. C 68, 051601(R) (2003)
S Albergo, S Costa, E Costanzo and A Rubbino, Nuovo Cimento A 89, 1 (1985)
S K Samaddar and J N De, Phys. Rev. C 79, 051602(R) (2009)
S K Samaddar and J N De, Phys. Rev. C 81, 041601(R) (2010)
Acknowledgements
JND and SKS acknowledge the support from the Department of Science & Technology, Government of India.
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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
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DOI: https://doi.org/10.1007/s12043-014-0711-z