Equation of state of nuclear matter using AV8’ and AV6’ potentials

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Rectorate (University of Sofia)


University of Sofia

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Ms zahra Asadi Aghbolaghi (zanjan University)


Equation of state of nuclear matter using AV8’ and AV6’ potentials

Z. Asadi and M. Bigdeli

Department of Physics, University of Zanjan, Zanjan, Iran

   The equation of state (EOS) of asymmetric nuclear matter have long been realized as a crucial parameter to understand the structural properties of neutron-rich nuclei and neutron stars. The behavior of the EOS of nuclear matter extremely depends on both nucleon-nucleon (NN) interactions and calculation methods and there is still no completely satisfactory solutions [1]. 
   In this work, we have calculated the equation of state of asymmetric nuclear matter using lowest order constrained variational (LOCV) [2] approach and by employing re-projected Argonne nucleon-nucleon potentials namely AV8’ [3] and AV6’ [4]. The AV8’ potential is a re-projection of AV18 on to eight operators and AV6’ is acquired after eliminating spin-orbit terms from AV8’.  They are reformulated to maintain the deuteron binding structures. We analyze our results by showing the energy per nucleon, as a function of the total baryon density (ρ) for each potential. We find that the energy contributions of these potentials are approximately same for lower densities, while in higher densities difference of total energy increased. The AV18 and AV8' potentials result approximately same energy for all relevant densities [5]. We have found the saturation density ρs ≈ 0.30 fm^−3 and the corresponding energy E0 ≈ −16.61 MeV for AV8’ and saturation points [0.45 fm^−3, -25.68 MeV] for AV6’.

[1] S. Gandol, A. Lovato, J. Carlson, and Kevin E. Schmidt Phys. Rev. C 90,061306(R) (2014).

[2] J. C. Owen, R. F. Bishop and J. M. Irvine, Nucl. Phys. A 277 (1977) 45.

[3] B. S. Pudlineret al., Phys. Rev. C56, 1720 (1997).

[4] R. B. Wiringa and S. C. Pieper, Phys. Rev. Lett. 89, 182501 (2002).

[5] Z. Asadi, M. Bigdeli, Submitted to PRC.

Primary authors

Ms zahra Asadi Aghbolaghi (zanjan University) Dr mohsen Bigdeli (zanjan University )

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