The equation of state and some key parameters of neutron stars: constraints from GW170817, the nuclear data and the low mass X-ray binary data

and then set the combined constraints with the data of GW 170817 and the data of 6 Low Mass X-ray Binaries (LMXBs) with thermonuclear burst or alternatively the symmetry energy of the nuclear interaction. We find that the nuclear data effectively narrow down the possible range of

\hat{p}_1

, the gravitational wave data plays the leading role in bounding

\hat{p}_2

, and the LMXB data as well as the lower bound on maximal gravitational mass of non-rotating NSs govern the constraints on

\hat{p}_3

and

\hat{p}_4

. Using posterior samples of pressure parameters and some universal relations, we further investigate how the current data sets can advance our understanding of tidal deformability (

\Lambda

), moment of inertia (

I

) and binding energy (

BE

) of NSs. For a canonical mass of

1.4M_\odot

, we have

I_{1.4} = {1.43}^{+0.30}_{-0.13} \times 10^{38}~{\rm kg \cdot m^2}

,

\Lambda_{1.4} = 390_{-210}^{+280}

,

R_{1.4} = 11.8_{-0.7}^{+1.2}~{\rm km}

and

BE_{1.4} = {0.16}^{+0.01}_{-0.02} M_{\odot}

if the constraints from the nuclear data and the gravitational wave data have been jointly applied. For the joint analysis of gravitational wave data and the LMXB data, we have

I_{1.4} = {1.28}^{+0.15}_{-0.08} \times 10^{38}~{\rm kg \cdot m^2}

,

\Lambda_{1.4} = 220_{-90}^{+90}

,

R_{1.4} = 11.1_{-0.6}^{+0.7}~{\rm km}

and

BE_{1.4} = {0.18}^{+0.01}_{-0.01} M_{\odot}

. These results suggest that the current constraints on

\Lambda

and

R

still suffer from significant systematic uncertainties, while

I_{1.4}

and

BE_{1.4}

are better constrained.

Note:

12 pages, 5 figures, 6 tables, ApJ published. Corrected the typo error between source frame masses and detector frame masses in section 2.5

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