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Prog. Theor. Phys. Vol. 116 No. 3 (2006) pp. 573-599

[ Full Text PDF : FREE ACCESS (362K) ]

Baryonic 3 P2-Dominant Superfluidity under Combined Pion Condensation with Δ Isobar. I

— Formulation —

Ryozo Tamagaki1,* and Tatsuyuki Takatsuka2,**

1Kamitakano Maeda-Cho 26-5, Kyoto 606-0097, Japan
2Faculty of Humanities and Social Sciences, Iwate University,
Morioka 020-8550, Japan

(Received July 1, 2006)

Abstract:

Baryonic superfluidity is studied in the combined pion condensation with the Δ degrees of freedom. We adopt a model previously proposed, in which both condensates of the neutral and charged pions coexist without interference in neutron star matter above the nuclear density. In setting up the most probable pairing correlation in such situation, it is crucial to extract attractive effects of the baryon-baryon spin-orbit interaction playing a decisive role in realizing the superfluid at moderate high densities. To this aim, using the quasi-baryon basis having the good angular-momentum quantum number, we define the quasi-baryon pairs with the stretched two-dimensional angular momentum with mJ = ±2, being the sum of a spin component mS = ±1 and an orbital-angular momemtum mL = ±1 of the quasi-baryon pairs. Pairing interaction is given in terms of the operators of these quasi-baryon pairs. This choice enables us to include the usual 3 P2 pair as a dominant component in the quasi-baryon pairs thus defined. Then we rewrite the quasi-baryon pair operators in terms of the operators of the quasi-particles (denoted as η) describing the single-particle eigenmode in the combined pion condensation. The Bogoliubov transformation is performed according to the scheme previously developed in the study of the neutron 3 P2 pairing, since both cases are similar in formal structure although different in physical content. Finally we obtain a coupled gap equation among three channels corresponding to three different charge states of the quasi-baryon pairs. This paper presents such a formulation. Analysis of the matrix elements of the pairing interaction and numerical results of energy gaps will be reported in a succeeding paper.


URL : http://ptp.ipap.jp/link?PTP/116/573/
DOI : 10.1143/PTP.116.573


*E-mail: tama-ktn@nike.eonet.ne.jp
**E-mail: takatuka@iwate-u.ac.jp

[ Full Text PDF : FREE ACCESS (362K) ] Citation:

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Citing Article(s) :

  1. 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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