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二倍太阳质量中子星的计算研究
赵先锋
滁州学院
机械与电子工程学院
10/7/2019

2. Main Content The RMF theory and the mass of a neutron star
Introduction
The RMF theory and the mass of a neutron star
Approximate limitation of the hyperon coupling constants
Four of the possible models for the neutron star PSR J
Summary
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3. Ⅰ. Introduction
1. The discovery of the two-times solar mass neutron star PSR J
The neutron star PSR J , which mass is 1.97 M⊙ and may be the heaviest by now, was observed in Obviously, it will be meaningful to describe its mass theoretically.
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4. 2. In the hadronic level, the mass of neutron star 1
2. In the hadronic level, the mass of neutron star 1.97 M ⊙ can be obtained if the suitable EOS and the coupling constants are chosen
Based on EOS-independent analytic solutions of Einstein’s equations, Demorest et al calculated the mass of the neutron star and found that the calculations, which is in the hadronic level, can not obtain the mass of the neutron star PSR J because of its too smaller mass.
But we think that this may be questionable.
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5. 1985, considering the octet, the mass of neutron star calculated by Glendenning is in the range of 1.5~1.8 M⊙ in the framework of relativistic mean field (RMF) theory.
But if only nucleons being included in the neutron star, the mass of neutron star he obtained would be 2.36 M⊙.
It is obvious that considering the hyperons within neutron star would reduce the mass.
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6. In the interior of a neutron star, the hyperons would be produced with the baryon number density increase. So it is reasonable to think that neutron stars containing hyperons.
Calculations show that the neutron-star mass is very sensitive to the hyperon coupling constants One of the parameter selection methods is to choose the coupling constants of meson ω by the constituent quark model [SU(6) symmetry] and to choose the couplings constants of meson σ by fitting the Λ,Σ and Ξ well depth in nuclear matter Because the energy density of neutron star matter is several times larger than the saturation nucleon density, the prior parameter selection methods to a great extent is extrapolative.
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7. From the results above it can be seen that, considering nucleons within neutron stars, the mass of neutron star which is greater than 1.97 M⊙ may be obtained if the suitable EOS and the coupling constants are chosen.
In this work, we apply the RMF theory to describe the mass of the neutron star PSR J by adjusting the hyperon coupling constants.
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8. Ⅱ.The RMF theory and the mass of a neutron star
The Lagrangian density of hadron matter reads as follows
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9. The energy density and pressure of a neutron star are given by
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10. where, m* is the effective mass of baryons
We use the O-V equation to obtain the mass and the
radius of neutron stars
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11. Ⅲ. Approximate limitation of the hyperon coupling constants
In this work, we choose the GL97 set listed in Table Ⅰ.
We define the ratios
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17. Ⅳ. Four of the possible models for the
neutron star PSR J
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21. Ⅴ. Summary
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23. Thank you very much!
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