Exact versus Taylor-expanded energy density in the study of the neutron star crust-core transition

Abstract

The importance of the fourth and higher order terms in the Taylor series expansion of the energy of the isospin asymmetric nuclear matter in the study of the neutron star crust-core phase transition is investigated using the finite range simple effective interaction. Analytic expressions for the evaluation of the second and fourth order derivative terms in the Taylor series expansion for any general finite range interaction of Yukawa, exponential or Gaussian form have been obtained. The effect of the nuclear matter incompressibility, symmetry energy and slope parameters on the predictions for the crust-core transition density is examined. The crustal moment of inertia is calculated and the prediction for the radius of the Vela pulsar is analyzed using different equations of state.

35 pages including 4 Tables & 12 figures; The article has been accepted for publication in J.Phys. G

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• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
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• The nuclear symmetry energy and stability of matter in neutron star
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• Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction
• Stability of the $\beta$-equilibrated dense matter and core-crust transition in neutron stars

Cited by in corpus (11)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Higher-order symmetry energy and neutron star core-crust transition with Gogny forces
• Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius and tidal deformability of canonical neutron stars
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Bayesian refinement of covariant energy density functionals
• Effect of Inner Crust EoS on Neutron star properties
• Crust-core interface and bulk neutron star properties
• The finite range simple effective interaction including tensor terms
• Novel features of asymmetric nuclear matter from terrestrial experiments and astrophysical observations of neutron stars
• Imprints of high-density nuclear symmetry energy on the crustal fraction of neutron star moment of inertia
• Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter