https://doi.org/10.1051/epjconf/202225807005
Equation of state for holographic nuclear matter as instanton gas
1 Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
2 Department of Physics, Saga University, Saga 840-8502, Japan
3 Faculty of Humanity-Oriented Science and Engineering, Kinki University, Iizuka 820-8555, Japan
** e-mail: gouroku@fit.ac.jp
*** e-mail: kashiwa@fit.ac.jp
**** e-mail: ynakano@kyudai.jp
† e-mail: motoi@cc.saga-u.ac.jp
‡ e-mail: f1toyoda@jcom.home.ne.jp
Published online: 11 January 2022
In a holographic model, which was used to investigate the color superconducting phase of QCD, a dilute gas of instantons is introduced to study the nuclear matter. The free energy of the nuclear matter is computed as a function of the baryon chemical potential in the probe approximation. Then the equation of state is obtained at low temperature. Using the equation of state for the nuclear matter, the Tolman-Oppenheimer-Volkov equations for a cold compact star are solved. We find the mass-radius relation of the star, which is similar to the one for quark star. This similarity implies that the instanton gas given here is a kind of self-bound matter.
© The Authors, published by EDP Sciences, 2022
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