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#### Constraining neutron star properties with a new equation of state insensitive approach

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2112.10824.pdf

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##### Citation

Biswas, B., & Datta, S. (2022). Constraining neutron star properties with a new
equation of state insensitive approach.* Physical Review D,* *106*(4):
043012. doi:10.1103/PhysRevD.106.043012.

Cite as: https://hdl.handle.net/21.11116/0000-000A-EEAC-9

##### Abstract

Instead of parameterizing the pressure-density relation of a neutron star

(NS), one can parameterize its macroscopic properties such as mass ($M$),

radius ($R$), and dimensionless tidal deformability ($\Lambda$) to infer the

equation of state (EoS) combining electromagnetic and gravitational wave (GW)

observations. We present a new method to parameterize $R(M)$ and $\Lambda(M)$

relations, which approximate the candidate EoSs with accuracy better than 5\%

for all masses and span a broad region of $M-R-\Lambda$ plane. Using this

method we combine the $M-\Lambda$ measurement from GW170817 and GW190425, and

simultaneous $M-R$ measurement of PSR J0030+0451 and PSR J0740+6620 to place

joint constraints on NS properties. At 90 \% confidence, we infer

$R_{1.4}=12.05_{-0.87}^{+0.98}$ km and $\Lambda_{1.4}=372_{-150}^{+220}$ for a

$1.4 M_{\odot}$ NS, and $R_{2.08}=12.65_{-1.46}^{+1.36}$ km for a $2.08

M_{\odot}$ NS. Furthermore, we use the inferred values of the maximum mass of a

nonrotating NS $M_{\rm max}=2.52_{-0.29}^{+0.33} M_{\odot}$ to investigate the

nature of the secondary objects in three potential neutron star-black hole

merger (NSBH) system.

(NS), one can parameterize its macroscopic properties such as mass ($M$),

radius ($R$), and dimensionless tidal deformability ($\Lambda$) to infer the

equation of state (EoS) combining electromagnetic and gravitational wave (GW)

observations. We present a new method to parameterize $R(M)$ and $\Lambda(M)$

relations, which approximate the candidate EoSs with accuracy better than 5\%

for all masses and span a broad region of $M-R-\Lambda$ plane. Using this

method we combine the $M-\Lambda$ measurement from GW170817 and GW190425, and

simultaneous $M-R$ measurement of PSR J0030+0451 and PSR J0740+6620 to place

joint constraints on NS properties. At 90 \% confidence, we infer

$R_{1.4}=12.05_{-0.87}^{+0.98}$ km and $\Lambda_{1.4}=372_{-150}^{+220}$ for a

$1.4 M_{\odot}$ NS, and $R_{2.08}=12.65_{-1.46}^{+1.36}$ km for a $2.08

M_{\odot}$ NS. Furthermore, we use the inferred values of the maximum mass of a

nonrotating NS $M_{\rm max}=2.52_{-0.29}^{+0.33} M_{\odot}$ to investigate the

nature of the secondary objects in three potential neutron star-black hole

merger (NSBH) system.