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Amorphous state in the mixed phase of hadron-quark phase transition in protoneutron stars

Yasutake, Nobutoshi*; Maruyama, Toshiki  ; Tatsumi, Toshitaka*

We have studied hadron-quark mixed phase in protoneutron stars, which is a ternary system, i.e., conserves the total baryon number, total charge, and total lepton number. We found that no crystalline "pasta" structure appears in the regime of high lepton number fraction; the size of pasta structure diverges due to the charge screening and the system becomes mechanically unstable. Consequently the whole system is separated into two bulk regions like an amorphous state, where the surface effect is safely neglected. There, the local charge neutrality is approximately attained, so that the equation of state is effectively reduced to that of a binary system. However, since the lepton-number fraction as well as baryon-number density is different for two phases in the amorphous state, we cannot reduce it to a pure system. Hence, we conclude that there is no possibility of a density discontinuity, which is a specific feature in a pure system, to appear in protoneutron-star matter.

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Category:Astronomy & Astrophysics

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