Quick Search:
Prog. Theor. Phys. Vol. 86 No. 1 (1991) pp. 57-71
Phase Transition of Hot Neutron Matter to π0-Condensed State
Mariko Takahara,
Tatsuyuki Takatsuka* and
Katsuhiko Sato**
Doshisha Women's College of Liberal Arts, Tanabe-cho, Kyoto 610-33
*College of Humanities and Social Sciences, Iwate University, Morioka 020
**Department of Physics, University of Tokyo, Tokyo 113
(Received April 8, 1991)
Abstract:
We investigate the equation of state (EOS) of hot neutron matter with π0-condensed state on the basis of the Alternating-Layer-Spin model by solving the Hartree-Fock equation at finite temperature. We find that the phase transition to π0-condensed state is suppressed considerably with temperature. We first calculate the entropy and specific heat of π0-condensed state and find that they are much lower than those of normal state. We also find that the effective mass of nucleons in normal and π0-condensed state is almost independent of temperature. The application to supernova explosions is discussed in detail, especially the evolution of the collapsing core along the iso-entropy line and its effects on the pressure.
URL :
http://ptp.ipap.jp/link?PTP/86/57/
DOI : 10.1143/PTP.86.57
References:
- A. B. Migdal, Sov. Phys.-JETP 34 (1972), 1184; ibid. 36 (1973), 1052.
-
R. F. Sawyer and D. J. Scalapino, Phys. Rev. D7 (1972), 953[APS].
-
O. V. Maxwell, G. E. Brown, D. K. Campbell, R, F. Dashen and J. T. Manassah, Astrophys. J. 216 (1977), 77[CrossRef].
- T. Tatsumi, Prog. Theor. Phys. 69 (1983), 1137[PTP].
- T. Muto and T. Tatsumi, Prog. Theor. Phys. 79 (1988), 461[PTP].
- S. Tsuruta, Comments on Astrophys. 11 (1986), 151.
- T. Takatsuka and R. Tamagaki, Nucl. Phys. A478 (1988), 785c; Prog. Theor. Phys. 79 (1988), 274[PTP].
- T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 82 (1989), 945[PTP].
-
R. Ramaty, S. Bonazzola, T. L. Cline, D. Kazanas, P. Meszaros and R. E. Lingenfelter, Nature 287 (1980), 122[CrossRef].
- D. C. Ellison and D. K. Kazanas, Astron. Astrophys. 128 (1983), 102.
-
M. Y. Fujimoto and R. E. Taam, Astrophys. J. 305 (1986), 246[CrossRef].
- T. Ebisuzaki, Publ. Astron. Soc. Jpn. 39 (1987), 287.
- T. Takatsuka, Prog. Theor. Phys. 78 (1987), 516[PTP]; ibid. 80 (1988), 361[PTP].
- M. Takahara and K. Sato, Prog. Theor. Phys. 80 (1988), 861[PTP].
-
K. Hirata et al., Phys. Rev. Lett. 58 (1987), 1490[APS].
- M. Takahara and K. Sato, Phys. Lett. 156B (1985), 17.
- E. Baron, J. Cooperstein and S. Kahana, Nucl. Phys. A440 (1985), 744;
Phys. Rev. Lett. 55 (1985), 126[APS].
-
M. Takahara and K. Sato, Astrophys. J. 335 (1988), 301[CrossRef].
-
H. Bethe and J. R. Wilson, Astrophys. J. 295 (1985), 14[CrossRef].
- T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 77 (1987), 362[PTP].
- T. Kunihiro, T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 79 (1988), 120[PTP].
- T. Takatsuka and R. Tamagaki, Prog. Theor. Phys. 58 (1977), 694[PTP].
- T. Takatsuka, K. Tamiya, T. Tatsumi and R. Tamagaki, Prog. Theor. Phys. 59 (1978), 1933[PTP].
- R. Tamagaki, Nucl. Phys. A328 (1979), 352.
- T. Takatsuka and J. Hiura, Prog. Theor. Phys. 79 (1988), 268[PTP].
- T. Takatsuka, Prog. Theor. Phys. 82 (1989), 475[PTP].
- T. Takatsuka, Y. Saito and J. Hiura, Prog. Theor. Phys. 67 (1982), 254[PTP].
-
T. R. Mongan, Phys. Rev. 178 (1969), 1597[APS].
- T. Kunihiro and T. Tatsumi, Prog. Theor. Phys. 65 (1981), 613[PTP].
- B. Friedman and V. R. Pandharipande, Nucl. Phys. A361 (1981), 502.
-
J. H. Taylor and J. M. Weisberg, Astrophys. J. 345 (1989), 434[CrossRef].
- H. A. Bethe and M. B. Johnson, Nucl. Phys. A230 (1974), 1.
- P. Haensel and R. Schaeffer, Nucl. Phys. A381 (1982), 519.
- T. Muto and T. Tatsumi, Prog. Theor. Phys. 83 (1990), 499[PTP].
- T. Muto and T. Tatsumi, Prog. Theor. Phys. 78 (1987), 1405[PTP].
Citing Article(s) :
-
Progress of Theoretical Physics Supplement No.112 (1993) pp. 197-219
:
-
Chapter VII. Neutral Pion Condensation in Hot and Dense Nuclear Matter
-
Teiji Kunihiro, Tatsuyuki Takatsuka and Ryozo Tamagaki