Baryonic 3P2 Superfluidity under Charged-Pion Condensation with &#916 Isobar

Details Baryonic 3P2 Superfluidity under Charged-Pion Condensation with &#916 Isobar Baryonic 3P2 Superfluidity under Charged-Pion Condensation with &#916 Isobar

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999pthph.101.1043t&link_type=abstract

Progress of Theoretical Physics, Vol. 101, No. 5, pp. 1043-1081

Physics

2

Scientific paper

Baryonic 3P2 superfluidity under charged-pion (πc) condensation is studied by taking into account the Δ isobar degrees of freedom, in order to seek the possibility of the coexistence of the two hadronic condensates in the high density core of neutron stars. To treat such a coexistence problem, we develop a formulation of the pairing correlation due to the interaction between quasi-baryons under πc condensation. Quasi-baryons are described as a superposition of the quasi-neutron consisting of the neutron plus the isobar Δ- and the quasi-proton consisting of the proton plus the isobar Δ++. In this formulation, effects of Δ-mixing on the 3P2 pairing interaction can be expressed in a compact form as an additional 3P2 potential, which arises from the modification of the isospin and spin-isospin components of realistic nuclear forces due to Δ-mixing. The Δ-mixing brings about significant attractive contributions to the 3P2 pairing potential with moderate dependence on the density ρ. In the nucleon sector, repulsive effects on the pairing potential appear at short distance, growing with ρ. As a result of the competition between the two, the baryonic 3P2 superfluid critical temperature Tc under πc condensation is higher than the internal temperature of neutron stars, and the superfluid exists, up to about (3-5) times the nuclear density ▊. For ρ asim$ 3 ▊, the persistence of the superfluid under πc condensation is regarded as model-dependent: Tc depends largely on the behavior of the condensed-πc momentum and short-range properties of nuclear forces.

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