Table 2 Stellar properties of the 12 equilibrium models constructed by the XNS code.

From: Oscillations of highly magnetized non-rotating neutron stars

Model

ρc

M

Rcirc

re

rp/re

\({{{{{{{\mathscr{H}}}}}}}}/{{{{{{{\mathscr{W}}}}}}}}\)

\({B}_{\max }\)

 

(1014 g cm−3)

 (M⊙)

 (km)

 (km)

  

(1017 G)

REF

8.56

1.55

14.25

11.85

1.00

0.00

0.00

T1K1

8.56

1.55

14.25

11.85

1.00

3.97 × 10−6

3.45 × 10−2

T1K2

8.56

1.55

14.25

11.85

1.00

1.58 × 10−5

6.89 × 10−2

T1K3

8.57

1.55

14.25

11.85

1.00

3.95 × 10−4

3.44 × 10−1

T1K4

8.63

1.55

14.32

11.92

1.01

6.21 × 10−3

1.36

T1K5

8.81

1.56

14.54

12.15

1.02

2.35 × 10−2

2.63

T1K6

9.10

1.58

16.79

14.43

1.09

1.23 × 10−1

5.52

T1K7

8.81

1.59

18.55

16.21

1.12

1.69 × 10−1

6.01

T1K8

8.27

1.60

20.97

18.64

1.15

2.14 × 10−1

6.14

T1K9

7.53

1.61

24.28

21.97

1.17

2.58 × 10−1

5.96

T1K10

6.64

1.62

28.92

26.62

1.21

3.02 × 10−1

5.53

T1K11

5.69

1.63

35.48

33.19

1.24

3.44 × 10−1

4.93

  1. All numerical values are rounded off to two decimal places. ρc is the central density, M is the gravitational mass, Rcirc is the circumferential radius, re is the equatorial radius, rp/re is the ratio of polar radius rp to equatorial radius re (a purely toroidal field elongates the NS along the z-axis), \({{{{{{{\mathscr{H}}}}}}}}/{{{{{{{\mathscr{W}}}}}}}}\) is the ratio of total magnetic energy \({{{{{{{\mathscr{H}}}}}}}}\) to total binding energy \({{{{{{{\mathscr{W}}}}}}}}\), and \({B}_{\max }\) is the maximum field strength achievable inside the star. These quantities are defined according to the work from Pili et al.3. All the 12 models share the same rest mass M0 = 1.68M⊙, polytropic constant K = 1.6 × 105 cm5 g−1 s−2, and adiabatic index γ = 2. The 11 magnetized models also share the same toroidal magnetization index m = 1.
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