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

2016/07/27 by T R Routray, T. R. Routray, X Viñas +11 · 25 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Isospin #Moment of inertia #Neutron #Neutron star #Nuclear matter #Nuclear physics research studies #Pulsar #Pulsars and Gravitational Waves Research #RADIUS #Range (aeronautics) #Symmetry (geometry) #nucl-th

paper · pdf · doi:10.1088/0954-3899/43/10/105101

published in Journal of Physics G Nuclear and Particle Physics 43(10), 105101 (IOP Publishing) · 35 pages including 4 Tables & 12 figures; The article has been accepted for publication in J.Phys. G

arxiv created 2016/07/27 · openalex publication_date 2016/08/23 · arxiv updated 2016/08/25 · openalex created_date 2016/09/16 · openalex updated_date 2026/08/05

Abstract

The importance of the fourth and higher order terms in the Taylor series expansion of energy of isospin asymmetric nuclear matter in studies 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.

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