Research Note

Stellar core collapse with hadron-quark phase transition

¹ Department of PhysicsFaculty of Science & Technology, Tokyo University of Science, 2641 Yamazaki, Noda, 278-8510 Chiba, Japan
e-mail: nakazato@rs.tus.ac.jp
² Numazu College of Technology, Ooka 3600, Numazu, 410-8501 Shizuoka, Japan
³ Department of Physics, Faculty of Science & Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, 169-8555 Tokyo, Japan
⁴ Advanced Research Institute for Science & Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, 169-8555 Tokyo, Japan

Received: 9 July 2013
Accepted: 7 September 2013

Abstract

Context. Hadronic matter undergoes a deconfinement transition to quark matter at high temperature and/or high density. It would be realized in collapsing cores of massive stars.

Aims. In the framework of the MIT bag model, the ambiguities of the interaction are encapsulated in the bag constant. Some progenitor stars that invoke the core collapses explode as supernovae, and other ones become black holes. The fates of core collapses are investigated for various cases.

Methods. Equations of state including the hadron-quark phase transition are constructed for the cases of the bag constant B = 90, 150, and 250 MeV fm^-3. To describe the mixed phase, the Gibbs condition is used. Adopting the equations of state with different bag constants, the core collapse simulations are performed for the progenitor models with 15 and 40 M_⊙.

Results. If the bag constant is small, for example B = 90 MeV fm^-3, the interval between the bounce and black hole formation is shortened drastically for the model with 40 M_⊙, and the second bounce revives the shock wave leading to explosion for the model with 15 M_⊙.