Neutrino luminosities and heat capacities of neutron stars in analytic form

2017/08/03 by D. D. Ofengeim, M. Fortin, P. Haensel +2 · 17 citations
Physics and Astronomy · #Astrophysics #Atomic and Subatomic Physics Research #Blanketing #Gamma-ray bursts and supernovae #Neutrino #Neutron star #Nuclear physics #Nucleon #Physics #Pulsars and Gravitational Waves Research #RADIUS #Stars #astro-ph.HE

paper · pdf · doi:10.1103/physrevd.96.043002

published in Physical review. D/Physical review. D. 96(4) (American Physical Society) · 15 pages, 9 figures, 5 tables

openalex publication_date 2017/08/03 · arxiv created 2017/08/28 · arxiv updated 2017/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive analytic approximations for the neutrino luminosities and the heat capacities of neutron stars with isothermal nucleon cores as functions of the mass and radius of stars. The neutrino luminosities are approximated for the three basic neutrino emission mechanisms, and the heat capacities for the five basic combinations of the partial heat capacities. The approximations are valid for a wide class of equations of state of dense nucleon matter. The results significantly simplify the theoretical interpretation of observations of cooling neutron stars as well as of quasistationary thermal states of neutron stars in x-ray transients. For illustration, we present an analysis of the neutrino cooling functions of nine isolated neutron stars taking into account the effects of their magnetic fields and of the presence of light elements in their heat blanketing envelopes. These results allow one to investigate the superfluid properties of neutron star cores.

Citations

• The neutron star in HESS J1731−347: Central compact objects as laboratories to study the equation of state of superdense matter
• Nuclear composition and heating in accreting neutron-star crusts
• DISCOVERY OF A 112 ms X-RAY PULSAR IN PUPPIS A: FURTHER EVIDENCE OF NEUTRON STARS WEAKLY MAGNETIZED AT BIRTH
• A two-solar-mass neutron star measured using Shapiro delay
• A unified equation of state of dense matter and neutron star structure
• Thermal Structure and Cooling of Superfluid Neutron Stars with Accreted Magnetized Envelopes
• Enhanced cooling of neutron stars via Cooper-pairing neutrino emission
• Analytical representations of unified equations of state for neutron-star matter
• The cooling of Akmal--Pandharipande--Ravenhall neutron star models
• Neutron Stars—Cooling and Transport
• First X-Ray Observations of the Young Pulsar J1357-6429
• A Massive Pulsar in a Compact Relativistic Binary
• Cooling of neutron stars with diffusive envelopes
• Neutron Star Cooling