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1 超新星爆発メカニズムの現状 固武慶 ( 国立天文台 ) 超新星爆発とニュートリノ原子核反応 阪大 RCNP 研究会 2007 年 2 月

2 目次及び時刻表 第 1 章 Introduction (~5 分 ) 第 2 章超新星の物理 (~5 分 ) (standard supernova scenario) 第 3 章超新星爆発メカニズム最前線 (~30 分 ) Asymmetry と爆発メカニズム その1: 流体不安定性その2: 自転その3:acoustic mechanism その4: 磁場第 4 章まとめと展望

3 1.Introduction 問題意識は何?

4 Jim Wilson の爆発から およそ 20 年 リバモアシミュレーション (Wilson 1982) 鉄コア表面 ~1500km ~200km Neutrino heating

5 Neutrino heating mechanism の energetics 爆発時に開放されるエネルギー as neutrino 99% as kinetic energy 1% as radiation 0.01% 中性子星の重力エネルギー Confirmed from SN1987A 観測と一致 ニュートリノ加熱メカニズムを成功させるためには 1 パーセントのエネルギー輸送を行えれば良い 数値計算の誤差を 1% 以内に収めないといけない Supernova simulation は数値天文学の一つの grand challenge

6 Wilson の爆発後の 20 年を振り返って Surface of iron core~1000km (Wilson 1982) ~200km Neutrino heating Cardall (2006)

7 2. ごく手短な Standard Supernova Physics From gravitational collapse to the explosion

8 The fate of massive stars. Heger et al. 03 Solar metalicity metalicity Zero metalicity 10Ms 25Ms Initial stellar mass

9 Standard scenario of core-collapse SNe core collapse trapping core bounce H He C+O Si Fe SN explosion shock in envelope shock propagation in core NS

10 Standard scenario of core-collapse SNe core collapse trapping core bounce H He C+O Si Fe SN explosion shock in envelope shock propagation in core NS

11 Standard scenario of core-collapse SNe core collapse trapping core bounce H He C+O Si Fe SN explosion Stiff!! shock in envelope shock propagation in core NS

12 Bounce 付近の速度場の時間発展

13 ニュートリノ trapping の重要性 Iron core = 1.4 Ms Mch ~ 0.8(Yl/0.38)^{2}Ms Yl = Ye + Y Inner core ~ 0.8 Ms (unshocked core) Neutrino trapping のお陰で 鉄の光分解で失う熱エネルギー ~1.7 10^{51} erg /Ms が小さくてすむ

14 Neutrino Heating Mechanism (Wilson 85) Protoneutron star Neutrino Sphere 1second Delayed Explosion

15 Wilson の爆発後の 20 年を振り返って 一次元球対称モデルにおける入力物理の精密化

16 ニュートリノ + 電子非弾性散乱の効果 (Bruenn & Mezzacappa 93, 97 ~) Downscattering of high energy neutrino Mean neutrino energy neutrino Ye (bad for explosion) Rms energy of neutrino 太線 : 弾性散乱細線 : 非弾性散乱 radius

17 原子核への電子捕獲反応の見直し (Langanke et al. 03, Hix et al. 04) weak interaction coupling constant cosϑ = p p l l p p lepton momentum and energy σ CC 2 G 2π + 1 ( E ) = d( cos ) ( E E + E E ) ϑ δ i f l 1 p l E l M 2 neutrino energy initial, final nuclear energies Nuclear structure information; needed f H W i lepton traces + nuclear matrix elements Fuller,Fowler, Neuman in the 80 s 第一励起状態のみのGT 遷移を考えていた SMMC calculation by Hix et al, 02 N=40 shell closure.

18 Nuclear physics impact: changes in supernova dynamics e-capture on nuclei dominates e-capture on protons Spherical; Newtonian Reduces e-capture in outer region; Increases e-capture in interior region Shock forms deeper, but propagates farther before stalling

19 Detailed Interactions in Proto Neutron Star (PNS)

20 核子 核子間同士の nuclear interaction の効果 (e.g.,burrows&sawer 98, 99, Yamada&Toki 00) density correlation spin correlation At high density regime (~nuclear density), the scattering rate is surpressed.

21 一次元球対称モデルにおける入力物理の精密化 New sources for mu/tau neutrinos Nucleon bremmsstrahlung & Flavor changing reactions (Suzuki, 97Hannested etal 98) (Buras et al. 03,06) Standard neutrino reactions Including new neutrino reactions (Rampp et al 02) (Rampp et al 02) Still no explosions! Time after bounce Time after bounce

22 超新星コアにおける現実的状態方程式 つい最近まで 一つの状態方程式しかなかった 原子核グループの努力により 詳細な状態方程式が手に入るようになった (Lattimer & Swesty 91) (Shen Toki,Sumiyoshi, Toki 98) Shen et al. 98 (52citations, yesterday) All the major supernova groups use it.

23 詳細なニュートリノ反応の分析をまとめると ニュートリノ + 電子非弾性散乱の効果 ニュートリノの平均エネルギーが下がるので opacity も下がる Bounce 前の Ye が小さくなるので 爆発を起こすには良くないセンス 原子核への電子捕獲反応の見直し (Langanke et al 02 ~) SMMCによればN>40で Gamow-Tellar transitionがclose されない 爆発を起こすには良くないセンス 原子核同士の静電相互作用(ion-correlation), (Marek et al. 05) 核子 核子間同士の nuclear interaction の効果 (Bruenn & Mezzacappa 93, 97 ~) Neutrino opacity が下がるので PNSからのluminosity が上がり 爆発を起こすには良いセンス (Burrows & Sawyer, Yamada & Toki 98) Nucleon bremsstrahlung & Flavor changing reactions 爆発を起こすには良いセンス (Suzuki 97, Buras et al. 2003)

24 1D models, 一次元球対称モデルの現状 さまざまなグループにおける結果 AGILE-BOLTZMANN (Oak Ridge) Hydro: implicit GR Neutrino transport; 1D, Sn method (Mezzacappa & Bruenn 1993) VERTEX (MPA) Hydro; explicit Newtonian Neutrino transport: VEF method (Rampp & Janka 2002) Sumiyoshi-Yamada code (Japan) Hydro: implicit GR Neutrino: Featrier method (Yamada 97,99, Sumiyoshi et al.05,07) Shock Radius VERTEX AGILE Time Shock stalls. (Liebendoefer et al. 2003) cannot produce explosions.

25 Supernova Explosions are aspherical SN1987A

26 球対称モデルを越えて 2 超新星爆発メカニズム最前線 取り組むべき問題は 何が非対称性をつくるのか? 非対称性のニュートリノ加熱メカニズムに及ぼす効果は? (17/85)

27 多次元の効果その 1: 対流 Heating domintated Stalled shock Cooing domintated PNS ~200km ~ 100 km (Gain Radius) Heating rate &cooling rate Cooling rate ~ R^{-6} Heating rate ~ R^{-2} 10 km Stellar radius

28 対流によるニュートリノ加熱率の上昇 ショックの半径Janka&Mueller(96) Neutrino の照射時間 (s) (Janka et al. 96) 対流により shock が勢いを増している

29 多次元モデルにおけるニュートリノ輸送の扱い Type I ニュートリノ球の外側だけを解く Standing shock クーラン条件が緩いので 長いタイムスケール追える PNS 50km M L r 次元方向だけ解く ( 一例 :Scheck et al.03) 全く解かない ( その他全部 ) Type II 鉄コア全域を解く 流体二次元 マイクロ物理全部入り Boltzmann transfer but by Ray by ray で解く (2003 年 ~) 流体二次元 マイクロ物理省略 ( 後述 ) 拡散近似 (2005 年夏 ~) 流体二次元 マイクロ物理全部いり 拡散近似 (2006 年冬 ~)

30 鉄のコア全域の数値計算による対流の効果の検証 Time evolution of shock in 1D and 2D models Buras et al. ( 03, 05) 対流だけでは 十分に爆発しない ( ようだ )

31 SASI = Standing Accretion-Shock Instability Blondin et al. (02,05) Foglizzo et al, 05 Ohnishi,KK,Yamada, (06) Blondin et al. found that adding the non-radial perturbation to the stalled shock wave, Blondin et al. (02,05) In their computations, no neutrino/heating are included. We are interested whether SASI really develops in more realistic situations.

32 Contracting neutron star interior is replaced by the fixed boundary Changing the neutrino luminosity, we can systematically investigate the development of SASI. M Standing shock Basic equations Neutrino heating/cooling Bruenn (1985) Burrows et al. (01) PNS 10km L Animation!

33 radius Tangential velocity Surface of PNS Pressure perturbation Ohnishi, KK, Yamda,06

34 SASI とニュートリノ加熱メカニズムの関係 (Ohnishi, KK, Yamada 06) SASI が働くことによって ニュートリノ加熱領域が広がりより爆発に良いセンスが働く しかし スイッチが入るのに十分な luminosity がコアから放出されるかどうかは分かっていない

35 Can inelastic neutrino-nucleus scatterings lower the critical luminosities? Ohnishi, KK, Yamada (2006) Fe -> n, p PNS Haxton (1988) Preheating material at the moment of neutronization. This may be good because the Fe is dissociated before the shock-arrival. Bruenn & Haxton, (1991), Nu_e energy cannot be high for preheat the matter. Alternatively, they investigated that inelastic scatterings will help the neutrino reheating. But the result is negative due to the smaller radius at the shock-stall. The helium fraction is too small. But in the multid case, does it work?

36 Ohnishi, KK, Yamada (2006) But please note that in the panels, the heating rate is made to be 10 times larger than Haxton ( 88). Inelastic scattering will not be a pivotal factor to enhance SASI.

37 First 3D simulations of SASI Blondin & Mezzacappa (Nature, 2006)

38 Velocity fields in the equatorial plane Continue d

39 First 3D detailed simulations of SASI L=1 perturbations Iwakami, KK, Ohnishi, Yamada in prep.

40 First 3D detailed simulations of SASI Random perturbations Iwakami, KK, Ohnishi, Yamada in prep.

41 First 3D detailed simulations of SASI M= 1 perturbations Iwakami, KK, Ohnishi, Yamada in prep.

42 Random Perturbations Iwakami, KK, Ohnishi, Yamada in prep Meridian plane Equatorial plane

43 Random Perturbations Iwakami, KK, Ohnishi, Yamada in prep Velocity fields in Equatorial plane Animation!

44 Short summary: Effect of Hydrodynamic instabilities Convection enhances the neutrino heating,but only with convections, successful explosions may be difficult. (Buras et al. 2003,5) Alternatively, SASI is expected to produce the large asymmetry, and (Blondin et al. 03,05, Ohnishi, KK, Yamada. 2006) (Foglizzio et al. 06) Could be/not be the origin of the pulsar kick. Blondin & Mezzacappa (2007), Iwakami et al. in prep with realistic SN simulations

45 Another possible cause of Asymmetry :Rotation KK et al. 2003~ (39/80)

46 転軸2D rotational core-collapse simulations 水平面 Entropy の contour 自KK et al. (2003)

47 3D view of rotating model To see the combined effects of rotation and the neutrino heating mechanism, we should tackle with the Multidimensional neutrino transport problems. : 2D Multi-energy Flux-Limited Diffusion with Magnetohydrodynamics Kotake, Ohnishi, Yamada, Sato In prep

48 Code Tests in a static background Spatial distribution of mu&tau neutrinos (with each energy bin) Mu & tau neutrinos Green:MonteCarlo sim

49 Comparison with other full 1D calculations Shock wave KK et al.(05) Liebendoerfer et al ( 04) Ye Our code can also produce the 1D Boltzman Liebendoerfer calculation. et ( 04) KK et al.(05)

50 Radiation-hydrodynamical Simulations: KK et al. in prep 15 Msolar mass progenitor (Heger 00) Average energy of electron neutrino (MeV)

51 Radiation flux of electron neutrino 15 Msolar mass progenitor (Heger 00) Radiation flux is preferentially towards the pole.

52 Net heating rate (Heating cooling rate) (MeV/nuc/s) Neutrino-cooling dominated region is found to become narrower near the poles than the equators, with ~20% enhancements of net heating rate near the poles.

53 Late time evolution near PNS (~150msec after bounce)

54 Why convection occurs near equatorial plane?? Criterion for (Solberg & Hoiland) instability for rotating star, j;specific ang.mom X:distance from rotational axis Ledoux part If the convection Ledoux unstable in the vicinity Specific of equatorial plane could angular persist, we may it helpful to produce the explosion in momentum the equatorial plane. Yl Stay tuned! We are continuing the simulations. Surface of PNS

55

56 Another possible cause of Asymmetry :Acoustic Waves Burrows et al 2005~

57 2006 年 ~ 11Ms の星で ~600 msec dynamics を追って爆発 Entropy の時間発展 Acoustic driven Supernovae? ( 爆発エネルギーはいくらか不明 ~10^{50}erg?? )

58 バロウズの計算本当かいな? ( その1) Yoshida, et al. (2007) astro-ph/ Accretion with SASI modes PNS G-mode? Yoshida et al. (2007) performed an eigen mode analysis, in which a response of the PNS towards a given pressure perturbation on the surface of the PNS.

59 Yoshida, et al. (2007) astro-ph/ G-mode excitations have typical frequencies of 200~500 Hz. Input of the pressure perturbation There is a severe impedance mismatch between the typical frequency of SASI (~30Hz) and the excited g-modes (~200~500) Hz!! Data from Numerical simulations by Ohnishi et al. (2006),

60 Yoshida, et al. (2007) astro-ph/ Mode energy is at most 10^{50} erg and even smaller.

61 Burrows et al. (2006) では 10^{50} ergs.. Seems good

62 Burrows et al. (2006) では We don t know why the pulsation energy suddenly begins to rise!

63 Show us Animation!! G-mode induced calculations on surface of the PNS Standing shock M Ohnishi, KK, Yamada in prep PNS 50km L Pressure perturbations are added to the surface of PNS by hand. Left panel: Without g-mode Right panel: With g-mode (Delta P)/P = 10%

64 Another possible cause of Asymmetry :Magnetic field 超新星コア ニュートリノ KK et al. 04,05 (46/85)

65 10^16G 一般に中性子星の観測的に磁場は 10^12G ぐらい 10^14G 10^12G 最近 Soft gamma-ray repeater (SGR) Anomalous X-ray Pulsar (AXP) などの強磁場天体 (10^15G) が観測されており その Formation を研究するためにも強磁場超新星の研究は不可欠である (Zhang et al. 02) Zhang et al. 00

66 Numer of papers 磁場超新星数値計算の歴史 和達先生の退官記念講演 教訓 : 困ったときは 磁場をかけろ Sawai et al. KK et al. Ardeljan et al. Takiwaki et al. KK et al. Yamada et al. KK et al. Symbalisty et al. Ohnishi et al. Mueller & Hillebrandt Bisnovati-Kogan et al LeBlanc & Wilson 年 年

67 Magnetohydrodynamics Binitial = 10^{9} G Ωinitial = 4 rad/s

68 強磁場超新星では 磁場の巻き込みで 爆発がジェット状になる

69 The very first SRMHD numerical simulation from onset of collapse to jet propagation to the stellar surface. (Takiwaki, KK, Sato to be submitted)

70

71 爆発時間(秒どんなモデルが一番早く爆発するのか? ( 磁場を固定 ) 高速回転ほど 早く爆発 )T/W=1.0% T/W=4.0% 初期の磁場の強さ Takiwaki,KK,Sato in prep T/W=0.25% ( 回転を固定 ) 強磁場ほど 早く爆発

72 爆発の強さの比較のまとめ Takiwaki,KK,Nagataki,Sato(2005) 場( ガウス) 最大磁T/ W 弱磁場でも爆発に寄与 1% 2% 4% 爆発のエネルギー (10^50 erg) 回転 細い衝撃波爆発のエネルギー 磁場 細い衝撃波爆発のエネルギー 爆発のエネルギーは Shock Front が 1500km に達したときにエネルギーが正の部分の和 爆発は回転が弱く磁場が強いほうが強い

73 超新星研究の応用 : ガンマ線バースト中心天体の解明 BH と高速自転 強磁場が不可欠 穴あけコラプサーモデル Zhang et al. 2004, Aloy et al.2004,2002 MacFadyen & Woosley 1999 Proga et al. 2005, 2004 ジェットが出た後 極方向に密度が薄い領域ができる 密度が薄くなっている 10^5 g/cm^3 10^{15} (G) (Takiwaki, KK, Sato in prep) この穴は GRB の誕生場所として好都合? 2000km

74 Summary Why Multidimensional modeling of supernovae?? Spherical models have not produced explosion yet, although all the known microphysical process are included. But of course, ambiguity of neutrino reactions should be clarified and newly taken into account to the simulations one by one.

75 Asymmetric supernovae Convection & Hydrodynamic instability Good for enhancing neutrino heating, however, only with it, successful explosions are not obtained yet.(buras et al. 2005) Importance of SASI (Blondin et al 02, Ohnishi et al, 06) G-mode excitations inside PNS (Burrows et al,06) Rotation Rotation-induced anisotopic neutrino radiation heats the matter near the pole (KK et al. 2003, Walder et al. Convective motions may be enhanced in the vicinity of the equatorial plane. (KK et al. in prep 2007) Magnetic fields: Jet like explosions may be naturally accompanied with the magnetar s formations.(kk et al.04,bisnovayi- Kogan ) Relevance to GRBs are exciting issues..(takiwaki et at 2005, 07)

76 展望 超新星の爆発メカニズムの解明 まだ重力波天文学 多次元効果 ( 自転 磁場 流体不安定性 ) SN1987A Talk by Nakahata, Kajino,Hayakawa, Yoshida, Kawagoe,Yoshiwara ニュートリノ天文学 KK et al. 03, PRD, 04 PRD 06,07.APJ まだ マグネターガンマ線バースト第一世代星 まだ High energy neutrino 我々の狙うところは 上記の事柄を統一的に理解すること

77 Collaborators: Katsuhiko Sato (Tokyo Univ), Tomoya Takiwaki (Tokyo Univ), Hidetomo Sawai (Waseda), Yudai Suwa (Tokyo Univ.), Wakana Iwakami (Tohoku univ.), Shoichi Yamada(Waseda), Naofumi Ohnishi (Tohoku Univ.) Thank you very much!

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