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Prog. Theor. Phys. Vol. 69 No. 4 (1983) pp. 1137-1145

[ Full Text PDF : FREE ACCESS (348K) ]

A Realistic Calculation of the Cooling Rate of Neutron Stars with the Charged Pion Condensate

Toshitaka Tatsumi

Faculty of Education and Liberal Arts, Yamanashi University, Kofu 400

(Received June 9, 1982)

Abstract:

In the charged-pion condensed phase, the pion-induced β-decay of baryons is allowed. For this process formulae are derived in order to calculate the cooling rate of neutron stars realistically by using the formalism developed earlier, where the effects of Δ-isobars, baryon-baryon short-range correlations and p-wave form factors in the pion-baryon vertex are included. Particular attention is paid to clarifying the characteristic roles of these effects on the matrix elements of the β-decay process; they are included not only in the strong interaction process but also in the weak interaction process in a consistent way. Moreover a typical numerical result of the neutrino emissivity is given for the weak condensate. It is shown that our result is about one tenth of that given by Maxwell et al., who used a simple model for pion condensation.


URL : http://ptp.ipap.jp/link?PTP/69/1137/
DOI : 10.1143/PTP.69.1137

[ Full Text PDF : FREE ACCESS (348K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 516-520 :
    Pion-Condensed Neutron Star and Supernova 1987A
    Tatsuyuki Takatsuka
  2. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1405-1427 :
    On the Existence of Combined Condensation of Neutral and Charged Pions in Neutron Matter
    Takumi Muto and Toshitaka Tatsumi
  3. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 461-479 :
    Extra Neutrino Emissivity of Neutron Stars under the Combined Condensation of Neutral and Charged Pions
    Takumi Muto and Toshitaka Tatsumi
  4. Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 22-27 :
    K-on Condensation and Cooling of Neutron Stars
    Toshitaka Tatsumi
  5. Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 28-33 :
    On the Cooling of Neutron Stars under the Neutral Pion Condensed Phase
    Takumi Muto and Toshitaka Tatsumi
  6. Progress of Theoretical Physics Vol. 82 No. 5 (1989) pp. 945-964 :
    Postglitch Timing Behavior of Vela and Crab Pulsars in an Extended Starquake Model for Neutron Stars with Pion-Condensed Core
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  7. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 499-521 :
    Static and Dynamical Properties of Neutron Stars with Combined π0-πc Condensation
    Takumi Muto and Toshitaka Tatsumi
  8. Progress of Theoretical Physics 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
  9. Progress of Theoretical Physics Vol. 98 No. 2 (1997) pp. 393-417 :
    Quasi-Neutron 3 P2-Dominant Superfluidity under π0 Condensation with Δ Isobar
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  10. Progress of Theoretical Physics Vol. 112 No. 1 (2004) pp. 37-72 :
    Baryon Superfluidity and Neutrino Emissivity of Neutron Stars
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  11. Progress of Theoretical Physics Supplement No.91 (1987) pp. 299-313 :
    Pion Condensations and Neutron Star Phenomena
    Toshitaka Tatsumi
  12. Progress of Theoretical Physics Supplement No.112 (1993) pp. 221-275 :
    Chapter VIII. Implications of Various Hadron Phases to Neutron Star Phenomena
    Takumi Muto, Tatsuyuki Takatsuka, Ryozo Tamagaki and Toshitaka Tatsumi
  13. Progress of Theoretical Physics Supplement No.120 (1995) pp. 111-133 :
    Kaon Condensation and Neutron Stars
    Toshitaka Tatsumi

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