Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
arXiv:1603.02935 · doi:10.1103/PhysRevC.93.055802
Abstract
The isospin-asymmetry dependence of the nuclear matter equation of state obtained from microscopic chiral two- and three-body interactions in second-order many-body perturbation theory is examined in detail. The quadratic, quartic and sextic coefficients in the Maclaurin expansion of the free energy per particle of infinite homogeneous nuclear matter with respect to the isospin asymmetry are extracted numerically using finite differences, and the resulting polynomial isospin-asymmetry parametrizations are compared to the full isospin-asymmetry dependence of the free energy. It is found that in the low-temperature and high-density regime where the radius of convergence of the expansion is generically zero, the inclusion of higher-order terms beyond the leading quadratic approximation leads overall to a significantly poorer description of the isospin-asymmetry dependence. In contrast, at high temperatures and densities well below nuclear saturation density, the interaction contributions to the higher-order coefficients are negligible and the deviations from the quadratic approximation are predominantly from the noninteracting term in the many-body perturbation series. Furthermore, we extract the leading logarithmic term in the isospin-asymmetry expansion of the equation of state at zero temperature from the analysis of linear combinations of finite differences. It is shown that the logarithmic term leads to a considerably improved description of the isospin-asymmetry dependence at zero temperature.
14 pages, 9 figures, 2 tables, some minor changes, references updated, matches published version
References in corpus (8)
- Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
- Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
- Density dependence of the nuclear symmetry energy: a microscopic perspective
- Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
- Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
- Chiral three-nucleon interaction and the carbon-14 dating beta decay
- The High-Density Symmetry Energy and Direct Urca
- Charged-current reactions in the supernova neutrino-sphere
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