Effects of Magnetic Field and Rotation
3on P2 Superfluidity in Neutron Stars
Kota Masuda (U. Tokyo / RIKEN)
with Muneto Nitta (Keio Univ.)

熱場の量子論とその応用, 3rd Sep., 2014

3P2 Superfluidity in Neutron Stars

Nuclear physics⇢0 < ⇢ : 3P2ペアに強い引力

Astrophysics (NS)Glitch

1.44M
1S0 pairs

3P2 pairs

Reichley et.al. (1969)

Tamagaki (1970)

Key Questions• NS内で3P2の基底状態は？
• 観測量への影響は？

Cooling
Heinke et.al. (2010)

1/3

Method

2/3

Ginzburg-Landau Free Energy Density (4次):
3P2 Phase Diagram

1.44M

Sauls et. al. (1978)

Spin2-BEC Phase Diagram
Kawaguchi and Ueda (2010)

4次の範囲で基底状態は縮退している
3P2 運動項、磁場、回転どの状態が選ばれる？

Main Results
Phase
UniaxialM̃

G/H[U (1) ⇥ S 4 ]/Z2 U (1) ⇥ S 2 /Z2

6th✔

3/3

Main Results
Phase
UniaxialM̃

G/H

6th B-ﬁeld

U (1) ⇥ S 2 /Z2

4[U(1)⇥S]/Z2 U (1) ⇥ SO(3)/D2
Dihedral-2

Biaxial[U (1) ⇥ SO(3)]/D4✔

3/3

gradient 3P2✔

✔
✔

Dihedral-2, Biaxal相で非自明なトポロジカル欠陥
強磁場、転移温度付近、 3P2 運動項
半整数量子渦の実現
トロイダル磁場の安定化✔

Effects of Magnetic Field and Rotation on 3P2 Superfluidity in Neutron Stars
!
! Abstract!It!is!generally!believed!that!the!superﬂuid!state!is!realized!in!the!neutron!stars,!which!are!high!density!fermionic!systems.!Due!to!the!repulsive!core!in!the!1S !
0!
parbal!wave,!the!eﬀects!of!pairing!in!the!3P2!aZracbve!interacbon!becomes!comparable!to!that!of!the!1S0!case!at!about!the!normal!nuclear!maZer!density.!!
!
3P !superﬂuid!state.!In!BCS!limit,!degenerate!ground!states!can!be!parameterized!by!one!
In!this!poster!presentabon,!we!ﬁrstly!introduce!GL!equabon!for!
2!
3!parameter.!We!show!eﬀects!of!gradient!term!and!magnebc!ﬁeld!on!ground!states!and!half(quanbzed! P2!vorbces!are!the!most!stable!states!under!certain!
3P !vorbces!and!compare!results!with!that!of!integer!vorbces.!
condibons.!!We!also!discuss!a!spontaneous!magnebzabon!caused!by!half(quanbzed!
!
2!!
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!! Introduction [1,2,3]! Results!!
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˜ : deformed S(b) M[6]!!!!!!!!!!!!!!!!!
U(1)U orbit!!
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Astrophysics!(Neutron!Star)!!!!
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!! References!!
[1]!R.!Tamagaki!and!T.!Takatsuka,!PTP!44!(1970),!46!(1971)!and!47!(1972)!
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[2]!P.!E.!Reichley!and!G.S.!Downs,!Nature!222!(1969)!
!!
[3]!C.!O.!Heinke!and!W.!C.!G.!Ho,!ApJ!LeZers!719!(2010)!
!!
[4]!J.!A.!Sauls!and!J.!W.!Serene,!Phys.!Rev.!D.!17!(1978)!
!!
[5]!R.!W.!Richardson,!Phys.!Rev.!D.!5!(1972)!!!
!
[6]!S.!Uchino,!M.!Kobayashi,!M.!NiZa!and!M.!Ueda!Phys.!Rev.!LeZ.!105!(2010)!!
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ありがとうございました