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Main Authors: Saha, Asim Kumar, Mallick, Ritam
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.13149
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author Saha, Asim Kumar
Mallick, Ritam
author_facet Saha, Asim Kumar
Mallick, Ritam
contents Simultaneous measurement of mass and radius with high precision is essential to unravel the equation of state of matter at the centre of neutron stars. Measurement of massive pulsars indicates that the equation of state has to be stiff at low densities. The radius measurement of PSR J0030+0451 has rejected several relatively softer equations of state. In this work, an ensemble of agnostically constructed EoS was studied for the mass and radius measurement. The range of radius of neutron stars obtained from the ensemble was confined within a radius bound from 10.5 - 14.5 km. It is seen that higher masses prefer stiffer EoS. However, the slope of the speed of sound (the stiffness of the EoS) is very sensitive to the radius measurement. Assuming the radius measurement to be precise up to 2 km, then a higher radius indicates sharp stiffening of the equation of state at low density; however, it also indicates a sharp fall after the peak, indicating a relatively softer core for massive neutron stars. On the other hand, for the same precision, a lower radius measurement indicates a relatively softer equation of state.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13149
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The prospect of confining the equation of state of neutron star with future mass and radius measurement
Saha, Asim Kumar
Mallick, Ritam
Solar and Stellar Astrophysics
Simultaneous measurement of mass and radius with high precision is essential to unravel the equation of state of matter at the centre of neutron stars. Measurement of massive pulsars indicates that the equation of state has to be stiff at low densities. The radius measurement of PSR J0030+0451 has rejected several relatively softer equations of state. In this work, an ensemble of agnostically constructed EoS was studied for the mass and radius measurement. The range of radius of neutron stars obtained from the ensemble was confined within a radius bound from 10.5 - 14.5 km. It is seen that higher masses prefer stiffer EoS. However, the slope of the speed of sound (the stiffness of the EoS) is very sensitive to the radius measurement. Assuming the radius measurement to be precise up to 2 km, then a higher radius indicates sharp stiffening of the equation of state at low density; however, it also indicates a sharp fall after the peak, indicating a relatively softer core for massive neutron stars. On the other hand, for the same precision, a lower radius measurement indicates a relatively softer equation of state.
title The prospect of confining the equation of state of neutron star with future mass and radius measurement
topic Solar and Stellar Astrophysics
url https://arxiv.org/abs/2407.13149