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Prog. Theor. Phys. Vol. 98 No. 2 (1997) pp. 393-417

[ Full Text PDF : FREE ACCESS (1337K) ]

Quasi-Neutron 3 P2-Dominant Superfluidity under π0 Condensation with Δ Isobar

Tatsuyuki Takatsuka and Ryozo Tamagaki*,*)

Faculty of Humanities and Social Sciences, Iwate University, Morioka 020
*Kamitakano Maeda-Cho 26-5, Kyoto 606

(Received March 17, 1997)

Abstract:

To seek the possibility of baryonic superfluidity persisting at high density in neutron stars, the 3 P2-dominant superfluidity under developed neutral-pion (π0) condensation, i.e., the coexistence of two hadronic condensates, is investigated by taking into account the Δ isobar degrees of freedom. The problem is formulated as the 3 P2-dominant pairing of the quasi-neutrons, described by a superposition of the neutron and the Δ0, in the alternating-layer-spin (ALS) structure equivalent to the π0 condensation. Formulation given in previous papers is extended to that explicitly including Δ-mixing on the basis of the SU(4) quark model. Effects of Δ-mixing to the pairing potential are expressed in a compact form as a modification of the spin-isospin terms of nuclear forces. We find the possibility that the coexistence is likely up to the density region higher than 6ρ0 (ρ0 being the nuclear density) in neutron star interior, with the superfluid critical temperature much higher than the internal temperature of neutron stars, if a type of nuclear forces with a gentle odd-state core is adopted. The conclusion depends on the features of the spin-isospin terms of nuclear forces enhanced by Δ-mixing, especially at short distances. For a type of nuclear forces with a steep odd-state core, the existence of the superfluid is limited to the density region less than about 4ρ0. Discussion is given concerning the dependence of the results on the interaction, the parameters of the ALS structure, effective mass and so forth.


URL : http://ptp.ipap.jp/link?PTP/98/393/
DOI : 10.1143/PTP.98.393


*)Professor Emeritus, Kyoto University.

[ Full Text PDF : FREE ACCESS (1337K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 1043-1081 :
    Baryonic 3 P2 Superfluidity under Charged-Pion Condensation with Δ Isobar
    Tatsuyuki Takatsuka and Ryozo Tamagaki
  2. Progress of Theoretical Physics Vol. 105 No. 6 (2001) pp. 1059-1064 :
    Dependence on Spin and Isospin of Short-Range Nuclear Forces in Modified OPEG
    Ryozo Tamagaki and Tatsuyuki Takatsuka
  3. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 245-250 :
    Baryonic 3P2-Dominant Superfluidity under Combined Pion Condensation with Δ-Mixing
    Ryozo Tamagaki and Tatsuyuki Takatsuka
  4. Progress of Theoretical Physics Vol. 115 No. 2 (2006) pp. 355-379 :
    Occurrence of Hyperon Superfluidity in Neutron Star Cores
    Tatsuyuki Takatsuka, Shigeru Nishizaki, Yasuo Yamamoto and Ryozo Tamagaki
  5. Progress of Theoretical Physics Vol. 116 No. 3 (2006) pp. 573-599 :
    Baryonic 3 P2-Dominant Superfluidity under Combined Pion Condensation with Δ Isobar. I
    Ryozo Tamagaki and Tatsuyuki Takatsuka
  6. Progress of Theoretical Physics Vol. 117 No. 5 (2007) pp. 861-901 :
    Baryonic 3 P2-Dominant Superfluidity under Combined Pion Condensation with Δ Isobar. II
    Ryozo Tamagaki and Tatsuyuki Takatsuka

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