SN 2007bi Yoshida, T. & Umeda, H., MNRAS 412, L78-L82 (2011)

Size: px
Start display at page:

Download "SN 2007bi Yoshida, T. & Umeda, H., MNRAS 412, L78-L82 (2011)"

Transcription

1 SN 2007bi Yoshida, T. & Umeda, H., MNRAS 412, L78-L82 (2011)

2 SN 2007bi SN 2007bi (Gal-Yam et al. 2009) Type Ic subluminous dwarf galaxy Z ~ ( ) Z (Young et al. 2010) 36 (Young et al. 2010)

3 SN2007bi SN2007bi Fλ (10-18 erg s -1 cm -2 A -1 ) Rest Wavelength (A ) (Gal-Yam et al. 2009) (Filippenko 1997) SN 2007bi Type Ic CO H,He Ia II Ic Ib

4 type Type Ia MS WD Type II H He O Si Fe Type Ib O He Si Fe Type Ic O Si Fe or binary

5 超新星typeと爆発機構 核燃焼型 Type Ia 未観測 Pair instability超新星 (II,Ib,Ic?) H MS He O WD 重力崩壊型 Type II H He O Fe Type Ib O Type Ic He O O Fe Si Fe Si Si 巨大質量 or binary 吉田敬 CPSセミナー 6月1日神戸大学CPS

6 SN 2007bi SN 2007bi (Gal-Yam et al. 2009) MR,max = mag Absolute MR (mag) SN 2007bi SN 1987A c.f. M( 56 Ni) = 0.07 M Julian date - 2,450,000 (SN 1987A) (Gal-Yam et al. 2009) 56 Ni M( 56 Ni) ~ 3-10 M

7 SN 2007bi Absolute MR (mag) (Gal-Yam et al. 2009) (Moriya et al. 2010) Pair-instability SN (PISN) Core collapse SN (CCSN) Mf ~ M Mf ~ 43 M Ni M( 56 Ni) ~ 3-10 M

8 Pair-Instability or Core Collapse? SN 2007bi Type Ic M( 56 Ni) ~ 3-10 M He Pair-instability (PISN) Mf ~ M (CCSN) Mf ~ 43 M

9 SN 2007bi 100 M < MMS < 500 M, Z0 = 0.2 Z MMS Mf CO core MCO He M(He) SN 2007bi PISN CCSN

10 MMS > 100 M Saio, Nomoto, and Kato 1988 P Mr = GMr 4πr 4 r Mr = 1 4πr 2 ρ ln T ln P = min( ad, rad) Lr Mr = εnucl - ε ν + εgrav 100 M < MMS < 500 M, Z0 = 0.2 Z, n, H~Br(282 ) Opacity OPAL 1995, etc.

11 MMS > 100 M OB Vink et al. (2001); Z Radiation-driven wind de Jager et al. (1988) Z 0.64 Wolf-Rayet (WR) Nugis and Lamers (2000; NL00) wind

12 MMS > 100 M Case A Case B Case C WR 1.5 (Crowther et al. 2007) 1/2 (Hirschi 2008) (Vink et al. 2001; Pulse et al. 2008)

13 MMS > 100 M WNL H H He He+H He (Xs(H) < 0.4) Wolf-Rayet WO O,C WC O,C WNE He O,C (Ns(He) < Ns(C+O)) (Ns(N) < Ns(C), Ns(He) > Ns(C+O)) (Xs(H) < 10-5, Ns(N) > Ns(C))

14 Mass Fraction WNL 1H 4He 12C Total mass WNLWC WO WNE 1H 4He 12C O O Mtotal / M Case A MMS = 100 M tms-c = 3.19 Myr WNL WNE WC WO Time (Year) 10 4 Total mass MMS = 140 M tms-c = 2.86 Myr

15 Mass Fraction at Center WNLWC WO 1H 4He 12C WNLWC WO 1H 4He 12C 10 6 Time (Year) 10 4 Total mass Total mass O 16O Mtotal / M Case A MMS = 200 M tms-c = 2.61 Myr MMS = 300 M tms-c = 2.51 Myr WNL WNE WC WO

16 Mass Fraction He MMS = 200 M M = 91.9 M WNL He 12C 16O 1H 14N 20Ne Mass Fraction M MS / M MMS = 200 M M = 67.8 M WO C 4He 16O 20Ne M MS / M

17 Mass Fraction MMS = 200 M MMS = 300 M Mf = 59.0 M WO Mf = 71.6 M WO C 16O 4He 20Ne Mass Fraction O 12C 20Ne 4He M MS / M M MS / M

18 Mass Fraction MMS = 100 M MMS = 140 M Mf = 40.8 M WNE Mf = 53.1 M WO O 4He 20Ne 12C 14N Mass Fraction O 20Ne 12C 4He M MS / M M MS / M

19 M f / M MMS Mf Case A Case C Case A Case B M MS / M WN WC (He-rich) WC WO Mf ~ M : WO MMS Mf

20 CO core MMS CO core MCO 150 M CO / M Case C Case A Case B M MS / M WN WC (He-rich) WC WO SN 2007bi

21 Pair-Instability 56 Ni Pair-Instability (Heger & Woosley 2002) III He Z0=0 M( 56 Ni) / M M CO / M SN 2007bi 56 Ni (Gal-Yam et al. 2009) PISN MCO ~ M Umeda & Nomoto (2002)

22 56 Ni III (Umeda & Nomoto 2008) 56 Ni M( 56 Ni) / M 10 8 E51 = 30 6 E51 = E51 = 10 E51 = M CO / M E51 = Eexp/(10 51 ergs) SN 2007bi 56 Ni (Gal-Yam et al. 2009) MCO > 35 M ~ MCO > 60 M PISN (Heger & Woosley 2002) CCSN: MCO ~ M

23 CO core M CO / M MMS CO core MCO PISN Case B Case C Case A CCSN PISN CCSN PISN CCSN M MS / M MMS ~ M (MMS ~ M for Case C) MMS ~ M (MMS ~ M for Case B) (MMS ~ M for Case C) M( 56 Ni) = 3-10 M (Gal-Yam et al. 2009) MCO ~ M MCO ~ M (Umeda & Nomoto 2002, 2008; Heger & Woosley 2002)

24 He Type Ic He He?

25 He Type Ic He He? He 56 Ni 56 Co γ He I line (5876A ) (Lucy 1991) He 56 Ni (e.g. Woosley & Eastman 1997) Type Ic He

26 He M(He) / M Z0 = Z0 = Z0 = M MS / M Wellstein & Langer (1999); Yoon et al. (2010) WN WC He Georgy et al. (2009) type : : WN : WC,WO binary Type Ib, Ic M(He) < 0.5 M Type Ic ( > 0.98 M Ib) M(He) < M Type Ic WC,WO M(He) < 0.6 M M(He) < M Type Ic

27 He M(He) / M He SN 2007bi CCSN M MS / M Case C Case A Case B PISN M(He) < M Ic M(He) < 0.5 M SN 2007bi M(He) < 1.5 M CO core SN 2007bi WC, WO Ic

28 rpi/cc : SN 2007bi PISN, CCSN Salpeter IMF ( MMS ) Case PISN (M ) CCSN (M ) rpi/cc A B C M(He) < 1.5 M XS(He) < 0.5 *M(He) < 0.5 M PISN IMF SN2007bi

29 100 M < MMS < 500 M, Z0 = 0.2 Z PISN, CCSN Type Ic SN 2007bi MMS Case PISN (M ) CCSN (M ) rpi/cc A B C M(He) < 0.5 M ( - ) ( - ) - ( - ) M(He) < 1.5 M XS(He) < 0.5 ( ) ( ) ( - ) SN2007bi (CCSN)

H+He H+He M > 10 M He He Wolf-Rayet Minit = 13 ~ 100 M, Zinit = 0.0001 ~ 0.02 CNO SN 2007bi (Type Ic) progenitor Minit > 100 M, Zinit = 0.004 WO star? Core collapse Rotating star model Saio, Nomoto, and

More information

超新星残骸Cassiopeia a と 非球対称爆発

超新星残骸Cassiopeia  a と 非球対称爆発 物理学専攻 松尾康秀 宇宙物理理論 指導教員 : 橋本正章 < 超新星残骸 > 星の外層が超新星爆発により吹き飛ばされ 爆発の際の衝撃波によって周囲の物質 ( 星周物質 ) を加熱し 輝いている天体 かに星雲 Kepler Cas A http://www.spacetelescope.o rg/images/large/heic0515a.j pg http://apod.nasa.gov/apod/i

More information

総研大恒星進化概要.dvi

総研大恒星進化概要.dvi The Structure and Evolution of Stars I. Basic Equations. M r r =4πr2 ρ () P r = GM rρ. r 2 (2) r: M r : P and ρ: G: M r Lagrange r = M r 4πr 2 rho ( ) P = GM r M r 4πr. 4 (2 ) s(ρ, P ) s(ρ, P ) r L r T

More information

[ ] 0.1 lim x 0 e 3x 1 x IC ( 11) ( s114901) 0.2 (1) y = e 2x (x 2 + 1) (2) y = x/(x 2 + 1) 0.3 dx (1) 1 4x 2 (2) e x sin 2xdx (3) sin 2 xdx ( 11) ( s

[ ] 0.1 lim x 0 e 3x 1 x IC ( 11) ( s114901) 0.2 (1) y = e 2x (x 2 + 1) (2) y = x/(x 2 + 1) 0.3 dx (1) 1 4x 2 (2) e x sin 2xdx (3) sin 2 xdx ( 11) ( s [ ]. lim e 3 IC ) s49). y = e + ) ) y = / + ).3 d 4 ) e sin d 3) sin d ) s49) s493).4 z = y z z y s494).5 + y = 4 =.6 s495) dy = 3e ) d dy d = y s496).7 lim ) lim e s49).8 y = e sin ) y = sin e 3) y =

More information

23 1 Section ( ) ( ) ( 46 ) , 238( 235,238 U) 232( 232 Th) 40( 40 K, % ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4

23 1 Section ( ) ( ) ( 46 ) , 238( 235,238 U) 232( 232 Th) 40( 40 K, % ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4 23 1 Section 1.1 1 ( ) ( ) ( 46 ) 2 3 235, 238( 235,238 U) 232( 232 Th) 40( 40 K, 0.0118% ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4 2 ( )2 4( 4 He) 12 3 16 12 56( 56 Fe) 4 56( 56 Ni)

More information

[Ver. 0.2] 1 2 3 4 5 6 7 1 1.1 1.2 1.3 1.4 1.5 1 1.1 1 1.2 1. (elasticity) 2. (plasticity) 3. (strength) 4. 5. (toughness) 6. 1 1.2 1. (elasticity) } 1 1.2 2. (plasticity), 1 1.2 3. (strength) a < b F

More information

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H 199 1 1 199 1 1. Vx) m e V cos x π x π Vx) = x < π, x > π V i) x = Vx) V 1 x /)) n n d f dξ ξ d f dξ + n f = H n ξ) ii) H n ξ) = 1) n expξ ) dn dξ n exp ξ )) H n ξ)h m ξ) exp ξ )dξ = π n n!δ n,m x = Vx)

More information

( ) ,

( ) , II 2007 4 0. 0 1 0 2 ( ) 0 3 1 2 3 4, - 5 6 7 1 1 1 1 1) 2) 3) 4) ( ) () H 2.79 10 10 He 2.72 10 9 C 1.01 10 7 N 3.13 10 6 O 2.38 10 7 Ne 3.44 10 6 Mg 1.076 10 6 Si 1 10 6 S 5.15 10 5 Ar 1.01 10 5 Fe 9.00

More information

untitled

untitled W1A W1B W1C W1D W1E W1F W1G W1H W1I W1J W1K W1L W1N W1O W1P W1Q W1R W2A W2B W2C W2D W2F W2G W2H W2I W2J W2K W2L W2N W2O W2P W2Q W2R W3A W3B W3C W3D W3E W3F W3G W3H W3I W3J W3K W3N W3O W3P W3Q W3R W4A W4B

More information

36 th IChO : - 3 ( ) , G O O D L U C K final 1

36 th IChO : - 3 ( ) , G O O D L U C K final 1 36 th ICh - - 5 - - : - 3 ( ) - 169 - -, - - - - - - - G D L U C K final 1 1 1.01 2 e 4.00 3 Li 6.94 4 Be 9.01 5 B 10.81 6 C 12.01 7 N 14.01 8 16.00 9 F 19.00 10 Ne 20.18 11 Na 22.99 12 Mg 24.31 Periodic

More information

untitled

untitled 1 2 1 1 2 3 1 2 1 2 4 0,76 4 5 0,1 1970 1974 1993 6 7 8 9 4 1920 10 1960 1971 ( ) IC 11 1980 1990 1992 1987 0,269 1996 0,023 2001 2002 1996 1996 1 98 27 70 1 3 7 12 2003 63 2 13 3 5 1 13 5 14 2 14 2 14

More information

技能継承に関するアンケートの結果概要

技能継承に関するアンケートの結果概要 I 1 1 1 1 1 1 2 1 3 1 II 2 1 2 2 2 3 2007 2 4 3 III 4 1 4 4 5 6 2 7 7 8 9 3 10 _10 11 _12 _13 _14 15 4 2007 16 2007 16 17 2007 18 5 19 19 I 2007 1 2005 6 21 8 3 3000 2 292 292 9.7 3 100 1 II 1 86 2 OJT

More information

ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s ( n) + γ wn γ s, γ w γ γ +

ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s ( n) + γ wn γ s, γ w γ γ + σ P σ () n σ () n σ P ) σ ( σ P σ σ σ + u V e m w ρ w gv V V s m s ρ s gv s ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s (

More information

Microsoft Word - 章末問題

Microsoft Word - 章末問題 1906 R n m 1 = =1 1 R R= 8h ICP s p s HeNeArXe 1 ns 1 1 1 1 1 17 NaCl 1.3 nm 10nm 3s CuAuAg NaCl CaF - - HeNeAr 1.7(b) 2 2 2d = a + a = 2a d = 2a 2 1 1 N = 8 + 6 = 4 8 2 4 4 2a 3 4 π N πr 3 3 4 ρ = = =

More information

Contents 1. Ia? 2. Ia 3. WISH Ia cosmology 4. WISH Ia + rate 5.

Contents 1. Ia? 2. Ia 3. WISH Ia cosmology 4. WISH Ia + rate 5. Type Ia Supernova Survey w/ WISH Contents 1. Ia? 2. Ia 3. WISH Ia cosmology 4. WISH Ia + rate 5. Contents 1. Ia? 2. Ia 3. WISH Ia cosmology 4. WISH Ia + rate 5. Type Ia Supernova + +?? (single degenerate)?

More information

- 2 -

- 2 - - 2 - - 3 - (1) (2) (3) (1) - 4 - ~ - 5 - (2) - 6 - (1) (1) - 7 - - 8 - (i) (ii) (iii) (ii) (iii) (ii) 10 - 9 - (3) - 10 - (3) - 11 - - 12 - (1) - 13 - - 14 - (2) - 15 - - 16 - (3) - 17 - - 18 - (4) -

More information

2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4 4 4 2 5 5 2 4 4 4 0 3 3 0 9 10 10 9 1 1

2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4 4 4 2 5 5 2 4 4 4 0 3 3 0 9 10 10 9 1 1 1 1979 6 24 3 4 4 4 4 3 4 4 2 3 4 4 6 0 0 6 2 4 4 4 3 0 0 3 3 3 4 3 2 4 3? 4 3 4 3 4 4 4 4 3 3 4 4 4 4 2 1 1 2 15 4 4 15 0 1 2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4

More information

20 15 14.6 15.3 14.9 15.7 16.0 15.7 13.4 14.5 13.7 14.2 10 10 13 16 19 22 1 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 2,500 59,862 56,384 2,000 42,662 44,211 40,639 37,323 1,500 33,408 34,472

More information

I? 3 1 3 1.1?................................. 3 1.2?............................... 3 1.3!................................... 3 2 4 2.1........................................ 4 2.2.......................................

More information

1 (1) (2)

1 (1) (2) 1 2 (1) (2) (3) 3-78 - 1 (1) (2) - 79 - i) ii) iii) (3) (4) (5) (6) - 80 - (7) (8) (9) (10) 2 (1) (2) (3) (4) i) - 81 - ii) (a) (b) 3 (1) (2) - 82 - - 83 - - 84 - - 85 - - 86 - (1) (2) (3) (4) (5) (6)

More information

untitled

untitled 0. =. =. (999). 3(983). (980). (985). (966). 3. := :=. A A. A A. := := 4 5 A B A B A B. A = B A B A B B A. A B A B, A B, B. AP { A, P } = { : A, P } = { A P }. A = {0, }, A, {0, }, {0}, {}, A {0}, {}.

More information

I ( ) ( ) (1) C z = a ρ. f(z) dz = C = = (z a) n dz C n= p 2π (ρe iθ ) n ρie iθ dθ 0 n= p { 2πiA 1 n = 1 0 n 1 (2) C f(z) n.. n f(z)dz = 2πi Re

I ( ) ( ) (1) C z = a ρ. f(z) dz = C = = (z a) n dz C n= p 2π (ρe iθ ) n ρie iθ dθ 0 n= p { 2πiA 1 n = 1 0 n 1 (2) C f(z) n.. n f(z)dz = 2πi Re I ( ). ( ) () a ρ. f() d ( a) n d n p π (ρe iθ ) n ρie iθ dθ n p { πia n n () f() n.. n f()d πi es f( k ) k n n. f()d n k k f()d. n f()d πi esf( k ). k I ( ). ( ) () f() p g() f() g()( ) p. f(). f() A

More information

Akira MIZUTA(KEK) AM, Nagataki, Aoi (ApJ, , 2011) AM + (in prep)

Akira MIZUTA(KEK) AM, Nagataki, Aoi (ApJ, , 2011) AM + (in prep) Akira MIZUTA(KEK) AM, Nagataki, Aoi (ApJ, 732 26, 2011) AM + (in prep) 2011.12.28 GRB GRB. ex. GRB980425/SN1998bw, GRB030329/SN2003dh XRF060218/SN2006aj. GRB091127/SN2009nz XRF100316D/SN2010bh Spectrum

More information

A 99% MS-Free Presentation

A 99% MS-Free Presentation A 99% MS-Free Presentation 2 Galactic Dynamics (Binney & Tremaine 1987, 2008) Dynamics of Galaxies (Bertin 2000) Dynamical Evolution of Globular Clusters (Spitzer 1987) The Gravitational Million-Body Problem

More information

4‐E ) キュリー温度を利用した消磁:熱消磁

4‐E ) キュリー温度を利用した消磁:熱消磁 ( ) () x C x = T T c T T c 4D ) ) Fe Ni Fe Fe Ni (Fe Fe Fe Fe Fe 462 Fe76 Ni36 4E ) ) (Fe) 463 4F ) ) ( ) Fe HeNe 17 Fe Fe Fe HeNe 464 Ni Ni Ni HeNe 465 466 (2) Al PtO 2 (liq) 467 4G ) Al 468 Al ( 468

More information

富山講義1601.ppt

富山講義1601.ppt 第二回超新星ニュートリノ研究会 @ 富山チュートリアル講演 : 大質量超新星の親星の種類と進化梅田秀之 ( 東大天文 ) 2016 年 1 月 6 日 本講演の目的 本研究領域の研究目的の一つは近傍超新星の爆発前の前兆ニュートリノ放射を観測する体制を整える事である これまで想定している爆発天体候補はベテルギウスなどの赤色超巨星や Wolf- Rayet 星のように一般に良く知られている進化末期の星であった

More information

( ) ( ) 20 11 11-13 15 20 21 ( ) 114cm 100cm 85cm () () 11 18 19 19-25 26 ( 1 ) 1 2 10 ( ) () 11 16 19 21 24-13 20 3 20 ( ) ( ) 14 15 19 20 23 29 13 20 4/15 600 400 5 7 1 8 5 7 20 3 1999 1000 100 86

More information

19 σ = P/A o σ B Maximum tensile strength σ % 0.2% proof stress σ EL Elastic limit Work hardening coefficient failure necking σ PL Proportional

19 σ = P/A o σ B Maximum tensile strength σ % 0.2% proof stress σ EL Elastic limit Work hardening coefficient failure necking σ PL Proportional 19 σ = P/A o σ B Maximum tensile strength σ 0. 0.% 0.% proof stress σ EL Elastic limit Work hardening coefficient failure necking σ PL Proportional limit ε p = 0.% ε e = σ 0. /E plastic strain ε = ε e

More information

BH BH BH BH Typeset by FoilTEX 2

BH BH BH BH Typeset by FoilTEX 2 GR BH BH 2015.10.10 BH at 2015.09.07 NICT 2015.05.26 Typeset by FoilTEX 1 BH BH BH BH Typeset by FoilTEX 2 1. BH 1.1 1 Typeset by FoilTEX 3 1.2 2 A B A B t = 0 A: m a [kg] B: m b [kg] t = t f star free

More information

2.1: n = N/V ( ) k F = ( 3π 2 N ) 1/3 = ( 3π 2 n ) 1/3 V (2.5) [ ] a = h2 2m k2 F h2 2ma (1 27 ) (1 8 ) erg, (2.6) /k B 1 11 / K

2.1: n = N/V ( ) k F = ( 3π 2 N ) 1/3 = ( 3π 2 n ) 1/3 V (2.5) [ ] a = h2 2m k2 F h2 2ma (1 27 ) (1 8 ) erg, (2.6) /k B 1 11 / K 2 2.1? [ ] L 1 ε(p) = 1 ( p 2 2m x + p 2 y + pz) 2 = h2 ( k 2 2m x + ky 2 + kz) 2 n x, n y, n z (2.1) (2.2) p = hk = h 2π L (n x, n y, n z ) (2.3) n k p 1 i (ε i ε i+1 )1 1 g = 2S + 1 2 1/2 g = 2 ( p F

More information

B

B B07557 0 0 (AGN) AGN AGN X X AGN AGN Geant4 AGN X X X (AGN) AGN AGN X AGN. AGN AGN Seyfert Seyfert Seyfert AGN 94 Carl Seyfert Seyfert Seyfert z < 0. Seyfert I II I 000 km/s 00 km/s II AGN (BLR) (NLR)

More information

positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) MeV : thermalization m psec 100

positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) MeV : thermalization m psec 100 positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) 0.5 1.5MeV : thermalization 10 100 m psec 100psec nsec E total = 2mc 2 + E e + + E e Ee+ Ee-c mc

More information

006 11 8 0 3 1 5 1.1..................... 5 1......................... 6 1.3.................... 6 1.4.................. 8 1.5................... 8 1.6................... 10 1.6.1......................

More information

6 2 T γ T B (6.4) (6.1) [( d nm + 3 ] 2 nt B )a 3 + nt B da 3 = 0 (6.9) na 3 = T B V 3/2 = T B V γ 1 = const. or T B a 2 = const. (6.10) H 2 = 8π kc2

6 2 T γ T B (6.4) (6.1) [( d nm + 3 ] 2 nt B )a 3 + nt B da 3 = 0 (6.9) na 3 = T B V 3/2 = T B V γ 1 = const. or T B a 2 = const. (6.10) H 2 = 8π kc2 1 6 6.1 (??) (P = ρ rad /3) ρ rad T 4 d(ρv ) + PdV = 0 (6.1) dρ rad ρ rad + 4 da a = 0 (6.2) dt T + da a = 0 T 1 a (6.3) ( ) n ρ m = n (m + 12 ) m v2 = n (m + 32 ) T, P = nt (6.4) (6.1) d [(nm + 32 ] )a

More information

29

29 9 .,,, 3 () C k k C k C + C + C + + C 8 + C 9 + C k C + C + C + C 3 + C 4 + C 5 + + 45 + + + 5 + + 9 + 4 + 4 + 5 4 C k k k ( + ) 4 C k k ( k) 3 n( ) n n n ( ) n ( ) n 3 ( ) 3 3 3 n 4 ( ) 4 4 4 ( ) n n

More information

B 1 B.1.......................... 1 B.1.1................. 1 B.1.2................. 2 B.2........................... 5 B.2.1.......................... 5 B.2.2.................. 6 B.2.3..................

More information

PowerPoint Presentation

PowerPoint Presentation 2010 KEK (Japan) (Japan) (Japan) Cheoun, Myun -ki Soongsil (Korea) Ryu,, Chung-Yoe Soongsil (Korea) 1. S.Reddy, M.Prakash and J.M. Lattimer, P.R.D58 #013009 (1998) Magnetar : ~ 10 15 G ~ 10 17 19 G (?)

More information

CRA3689A

CRA3689A AVIC-DRZ90 AVIC-DRZ80 2 3 4 5 66 7 88 9 10 10 10 11 12 13 14 15 1 1 0 OPEN ANGLE REMOTE WIDE SET UP AVIC-DRZ90 SOURCE OFF AV CONTROL MIC 2 16 17 1 2 0 0 1 AVIC-DRZ90 2 3 4 OPEN ANGLE REMOTE SOURCE OFF

More information

I-2 (100 ) (1) y(x) y dy dx y d2 y dx 2 (a) y + 2y 3y = 9e 2x (b) x 2 y 6y = 5x 4 (2) Bernoulli B n (n = 0, 1, 2,...) x e x 1 = n=0 B 0 B 1 B 2 (3) co

I-2 (100 ) (1) y(x) y dy dx y d2 y dx 2 (a) y + 2y 3y = 9e 2x (b) x 2 y 6y = 5x 4 (2) Bernoulli B n (n = 0, 1, 2,...) x e x 1 = n=0 B 0 B 1 B 2 (3) co 16 I ( ) (1) I-1 I-2 I-3 (2) I-1 ( ) (100 ) 2l x x = 0 y t y(x, t) y(±l, t) = 0 m T g y(x, t) l y(x, t) c = 2 y(x, t) c 2 2 y(x, t) = g (A) t 2 x 2 T/m (1) y 0 (x) y 0 (x) = g c 2 (l2 x 2 ) (B) (2) (1)

More information

22 21

22 21 20 19 22 21 24 23 26 25 28 27 30 29 32 31 33 34 36 35 WN7501010 WN7502010 WN7503010 WN7506 WN7509 WN7512 WN7515 WN7518 WR3504 WR3508 WR3512 WR3516 WR3520 WR3524 280 550 1,100 1,680 2,500 3,900 WN6501K

More information

03J_sources.key

03J_sources.key Radiation Detection & Measurement (1) (2) (3) (4)1 MeV ( ) 10 9 m 10 7 m 10 10 m < 10 18 m X 10 15 m 10 15 m ......... (isotope)...... (isotone)......... (isobar) 1 1 1 0 1 2 1 2 3 99.985% 0.015% ~0% E

More information

Microsoft PowerPoint - TominagaHokudai.ppt [互換モード]

Microsoft PowerPoint - TominagaHokudai.ppt [互換モード] 2 nd Mar 2011 恒星進化 星形成から探る銀河の形成 進化の研究宇宙最初の星から太陽系形成まで Fe Si NS/BH Massive Star (>10M ) e - -capture SNe (8-10M ) O C He H SN Ic SN Ib SN II Temp [10 8 K] 0.2 1.5 7 15 30 40 50 Burning Stage H He C Ne

More information

1 http://www.manabino-academy.com 1 1 1.1............................................... 1 1.2............................................. 4 1.3............................................. 6 2 8 2.1.............................................

More information

空気の屈折率変調を光学的に検出する超指向性マイクロホン

空気の屈折率変調を光学的に検出する超指向性マイクロホン 23 2 1M36268 2 2 4 5 6 7 8 13 15 2 21 2 23 2 2 3 32 34 38 38 54 57 62 63 1-1 ( 1) ( 2) 1-1 a ( sinθ ) 2J D ( θ ) = 1 (1-1) kaka sinθ ( 3) 1-2 1 Back face hole Amplifier Diaphragm Equiphase wave surface

More information

Microsoft Word - 11問題表紙(選択).docx

Microsoft Word - 11問題表紙(選択).docx A B A.70g/cm 3 B.74g/cm 3 B C 70at% %A C B at% 80at% %B 350 C γ δ y=00 x-y ρ l S ρ C p k C p ρ C p T ρ l t l S S ξ S t = ( k T ) ξ ( ) S = ( k T) ( ) t y ξ S ξ / t S v T T / t = v T / y 00 x v S dy dx

More information

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 2 版 1 刷発行時のものです.

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます.   このサンプルページの内容は, 第 2 版 1 刷発行時のものです. 医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009192 このサンプルページの内容は, 第 2 版 1 刷発行時のものです. i 2 t 1. 2. 3 2 3. 6 4. 7 5. n 2 ν 6. 2 7. 2003 ii 2 2013 10 iii 1987

More information

Z: Q: R: C:

Z: Q: R: C: 0 Z: Q: R: C: 3 4 4 4................................ 4 4.................................. 7 5 3 5...................... 3 5......................... 40 5.3 snz) z)........................... 4 6 46 x

More information

2 Zn Zn + MnO 2 () 2 O 2 2 H2 O + O 2 O 2 MnO 2 2 KClO 3 2 KCl + 3 O 2 O 3 or 3 O 2 2 O 3 N 2 () NH 4 NO 2 2 O + N 2 ( ) MnO HCl Mn O + CaCl(ClO

2 Zn Zn + MnO 2 () 2 O 2 2 H2 O + O 2 O 2 MnO 2 2 KClO 3 2 KCl + 3 O 2 O 3 or 3 O 2 2 O 3 N 2 () NH 4 NO 2 2 O + N 2 ( ) MnO HCl Mn O + CaCl(ClO 1 [1]. Zn + 2 H + Zn 2+,. K Ca Na Mg Al Zn Fe Ni Sn Pb H Cu Hg Ag Pt Au H (H + ),,. [2] ( ) ( ) CO 2, S, SO 2, NH 3 () + () () + () FeS Fe S ( ) + ( ) ( ) + ( ) 2 NH 4 Cl + Ca(OH) 2 Ca O + 2 NH 3,.,,.,,.,.

More information

genron-3

genron-3 " ( K p( pasals! ( kg / m 3 " ( K! v M V! M / V v V / M! 3 ( kg / m v ( v "! v p v # v v pd v ( J / kg p ( $ 3! % S $ ( pv" 3 ( ( 5 pv" pv R" p R!" R " ( K ( 6 ( 7 " pv pv % p % w ' p% S & $ p% v ( J /

More information

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0 1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45

More information

1 9 v.0.1 c (2016/10/07) Minoru Suzuki T µ 1 (7.108) f(e ) = 1 e β(e µ) 1 E 1 f(e ) (Bose-Einstein distribution function) *1 (8.1) (9.1)

1 9 v.0.1 c (2016/10/07) Minoru Suzuki T µ 1 (7.108) f(e ) = 1 e β(e µ) 1 E 1 f(e ) (Bose-Einstein distribution function) *1 (8.1) (9.1) 1 9 v..1 c (216/1/7) Minoru Suzuki 1 1 9.1 9.1.1 T µ 1 (7.18) f(e ) = 1 e β(e µ) 1 E 1 f(e ) (Bose-Einstein distribution function) *1 (8.1) (9.1) E E µ = E f(e ) E µ (9.1) µ (9.2) µ 1 e β(e µ) 1 f(e )

More information

2 1 7 - TALK ABOUT 21 μ TALK ABOUT 21 Ag As Se 2. 2. 2. Ag As Se 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 1 Sb Ga Te 2. Sb 2. Ga 2. Te 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 1 1 2 3 4

More information

PowerPoint プレゼンテーション

PowerPoint プレゼンテーション ICP-AES, AA ppb - 1% ICP-MS ppt - 100ppm SEM-EDX 0.1% - 100% B - U XRF 0.01% - 100% Na - U EMIA ppm - 100% C, S EMGA EMIA : EMGA ppm - 100% O, N, H Carbon Sulfur Nitrigen Oxygen ISO ISO/TC 17/SC ISO 9556

More information

1 r 8, , 238 N, Z 28, 50, 82, 126 r cm cm 3 1,000 1 s s slow s 8 s 2 2 s s * 1 * 2 * 3 1 N 50, 82, s * r

1 r 8, , 238 N, Z 28, 50, 82, 126 r cm cm 3 1,000 1 s s slow s 8 s 2 2 s s * 1 * 2 * 3 1 N 50, 82, s * r r 181 8588 2 21 1 e-mail: shinya.wanajo@nao.ac.jp r r r r r 1. r r r r r 1.1 r 1 10 107 1 7 1 r 8,000 300 232 235, 238 N, Z 28, 50, 82, 126 r 10 7 10 11 cm 3 10 25 cm 3 1,000 1 s s slow s 8 s 2 2 s s *

More information

ito.dvi

ito.dvi 1 2 1006 214 542 160 120 160 1 1916 49 1710 55 1716 1 2 1995 1 2 3 4 2 3 1950 1973 1969 1989 1 4 3 3.1 3.1.1 1989 2 3.1.2 214 542 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

More information

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C602E646F63>

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C602E646F63> スピントロニクスの基礎 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/077461 このサンプルページの内容は, 初版 1 刷発行時のものです. i 1 2 ii 3 5 4 AMR (anisotropic magnetoresistance effect) GMR (giant magnetoresistance

More information

ニュートリノ駆動型 超新星爆発シミュレーション 3Dと2Dの比較

ニュートリノ駆動型 超新星爆発シミュレーション 3Dと2Dの比較 2016/01/05 宇宙の歴史をひもとく地下素粒子原子核研究 第二回超新星ニュートリノ研究会 ニュートリノ観測による超新星爆発メカニズムの探求 滝脇知也 ( 理化学研究所 ) 1 2 Three phases of supernovae Presupernova phase Burst phase Accretion phase Cooling phase Kato+2015 吉田敬さん石徹白さん

More information

2/24

2/24 Dec. 18 20, 2006 in DEX-SMI 2006 DC http://www.smapip.is.tohou.ac.jp/ jun/ in collaboration with M. Yasuda and K. Tanaa 1/24 2/24 scientific papers scientists Glucose 2 Lactate 2 ATP 2-Triose-P 2 P 2 NAD

More information

Formation process of regular satellites on the circumplanetary disk Hidetaka Okada Department of Earth Sciences, Undergraduate school of Scie

Formation process of regular satellites on the circumplanetary disk Hidetaka Okada Department of Earth Sciences, Undergraduate school of Scie Formation process of regular satellites on the circumplanetary disk Hidetaka Okada 22060172 Department of Earth Sciences, Undergraduate school of Science, Hokkaido University Planetary and Space Group

More information

n ξ n,i, i = 1,, n S n ξ n,i n 0 R 1,.. σ 1 σ i .10.14.15 0 1 0 1 1 3.14 3.18 3.19 3.14 3.14,. ii 1 1 1.1..................................... 1 1............................... 3 1.3.........................

More information

cm H.11.3 P.13 2 3-106-

cm H.11.3 P.13 2 3-106- H11.3 H.11.3 P.4-105- cm H.11.3 P.13 2 3-106- 2 H.11.3 P.47 H.11.3 P.27 i vl1 vl2-107- 3 h vl l1 l2 1 2 0 ii H.11.3 P.49 2 iii i 2 vl1 vl2-108- H.11.3 P.50 ii 2 H.11.3 P.52 cm -109- H.11.3 P.44 S S H.11.3

More information

all.dvi

all.dvi 72 9 Hooke,,,. Hooke. 9.1 Hooke 1 Hooke. 1, 1 Hooke. σ, ε, Young. σ ε (9.1), Young. τ γ G τ Gγ (9.2) X 1, X 2. Poisson, Poisson ν. ν ε 22 (9.) ε 11 F F X 2 X 1 9.1: Poisson 9.1. Hooke 7 Young Poisson G

More information

日本目録規則1987年版改訂2版第2章図書改定案

日本目録規則1987年版改訂2版第2章図書改定案 2.0.1 2.0.2 2.0.3 2.0.4 2.0.5 2.0.6 2.1.1 2.1.2 2.1.3 2.1.4 2.1.5 2.2.1 2.2.2 2.2.3 2.2.4 2.4.1 2.4.2 2.4.3 2.4.4 2.5.1 2.5.2 2.5.3 2.5.4 2.6.1 2.6.2 2.6.3 2.6.4 2.6.5 ISSN 2.6.6 2.6.7 2.7.1 2.7.2 2.7.3

More information

茨歯会報1403

茨歯会報1403 No.540 茨城県歯科医師会 Ibar Ib b arr ak a i D De ent e nt n al a l Ass A ss s s oc o cia ia a ti t i on o March 2014 平成26年 3 Contents No.540 http://www.ibasikai.or.jp/ 540 2014.3 540 2014.3 540 2014.3 540 2014.3

More information

茨歯会報1401

茨歯会報1401 No.538 茨城県歯科医師会 Ibar Ib b arr ak a i D De ent e nt n al a l Ass A ss s s oc o cia ia a ti t i on o January 2014 平成26年 1 Contents No.538 http://www.ibasikai.or.jp/ 538 2014.1 538 2014.1 538 538 2014.1 538

More information

c 2009 i

c 2009 i I 2009 c 2009 i 0 1 0.0................................... 1 0.1.............................. 3 0.2.............................. 5 1 7 1.1................................. 7 1.2..............................

More information

Yuzo Nakamura, Kagoshima Univ., Dept Mech Engr. perfect crystal imperfect crystal point defect vacancy self-interstitial atom substitutional impurity

Yuzo Nakamura, Kagoshima Univ., Dept Mech Engr. perfect crystal imperfect crystal point defect vacancy self-interstitial atom substitutional impurity perfect crystal imperfect crystal point defect vacancy self-interstitial atom substitutional impurity atom interstitial impurity atom line defect dislocation planar defect surface grain boundary interface

More information

m d2 x = kx αẋ α > 0 (3.5 dt2 ( de dt = d dt ( 1 2 mẋ kx2 = mẍẋ + kxẋ = (mẍ + kxẋ = αẋẋ = αẋ 2 < 0 (3.6 Joule Joule 1843 Joule ( A B (> A ( 3-2

m d2 x = kx αẋ α > 0 (3.5 dt2 ( de dt = d dt ( 1 2 mẋ kx2 = mẍẋ + kxẋ = (mẍ + kxẋ = αẋẋ = αẋ 2 < 0 (3.6 Joule Joule 1843 Joule ( A B (> A ( 3-2 3 3.1 ( 1 m d2 x(t dt 2 = kx(t k = (3.1 d 2 x dt 2 = ω2 x, ω = x(t = 0, ẋ(0 = v 0 k m (3.2 x = v 0 ω sin ωt (ẋ = v 0 cos ωt (3.3 E = 1 2 mẋ2 + 1 2 kx2 = 1 2 mv2 0 cos 2 ωt + 1 2 k v2 0 ω 2 sin2 ωt = 1

More information

85 4

85 4 85 4 86 Copright c 005 Kumanekosha 4.1 ( ) ( t ) t, t 4.1.1 t Step! (Step 1) (, 0) (Step ) ±V t (, t) I Check! P P V t π 54 t = 0 + V (, t) π θ : = θ : π ) θ = π ± sin ± cos t = 0 (, 0) = sin π V + t +V

More information

I

I I 6 4 10 1 1 1.1............... 1 1................ 1 1.3.................... 1.4............... 1.4.1.............. 1.4................. 1.4.3........... 3 1.4.4.. 3 1.5.......... 3 1.5.1..............

More information

JAJP

JAJP Agilent 7500ce ORS ICP-MS Glenn Woods Agilent Technologies Ltd. 5500 Lakeside, Cheadle Royal Business Park Stockport UK Agilent 7500ce ICP-MS 5 7500ce (ORS) 1 ORS 7500ce ORS ICP-MS ( ) 7500 ICP-MS (27.12

More information

茨歯会報1605

茨歯会報1605 No.5 N o. o. o. o. o. o. o. o. o. o. o 5 5 Ib Ib Ib Ib Ibar ar ar ar arak ak ak ak ak a i De De De De Dent nt nt nt nt n al al al al al al al al Ass ss ss ss ssoc oc oc oc oc ocia ia ia ia iati ti ti ti

More information

茨歯会報1604

茨歯会報1604 No.4 N o. o. o. o. o. o. o. o. o. o. o 5 4 Ib Ib Ib Ib Ibar ar ar ar arak ak ak ak ak a i De De De De Dent nt nt nt nt n al al al al al al al al Ass ss ss ss ssoc oc oc oc oc ocia ia ia ia iati ti ti ti

More information

Contents 1. Ia cosmology 2. Ia / rate 3.

Contents 1. Ia cosmology 2. Ia / rate 3. WISH ( ) Contents 1. Ia cosmology 2. Ia / rate 3. supernova (CC SN) Ia (SN Ia) supernova classification supernova Ia (SN Ia) - : redshift z~1.5 - progenitor system: Single Degenerate? Double Degenerate?

More information

服用者向け_資料28_0623

服用者向け_資料28_0623 1 2 3 1. 2. 4 3. 4. 1. 5 2. 3. 4. 5. 6 6. 7. 8. 7 9. 10. 11. 8 12. 9 10 11 12 Q-1 : OC Q-2 : OC Q-3 : 21 OC 28 OC 13 Q-4 : OC Q-5 : OC Q-6 : OC 14 Q-7 : Q-8 : OC Q-9 : OC Q-10 : OC Q-11 : OC 15 Q-12 :

More information

CAT. No. 1154b 2008 C-9

CAT. No. 1154b 2008 C-9 T CAT. o. 1154b IS SK µm D K mm & Dmp 1 ea µm d CS mm & Bs K ia & dmp V dp & dmp & Hs 1 mm d & ds & & B2s d2s & Hs & A1s d d B C B2 H A1 SjD d2 H d µm d & dmp & d1mp & dmp V dp 1 mm d d d B & dmp & d1mp

More information

.5 z = a + b + c n.6 = a sin t y = b cos t dy d a e e b e + e c e e e + e 3 s36 3 a + y = a, b > b 3 s363.7 y = + 3 y = + 3 s364.8 cos a 3 s365.9 y =,

.5 z = a + b + c n.6 = a sin t y = b cos t dy d a e e b e + e c e e e + e 3 s36 3 a + y = a, b > b 3 s363.7 y = + 3 y = + 3 s364.8 cos a 3 s365.9 y =, [ ] IC. r, θ r, θ π, y y = 3 3 = r cos θ r sin θ D D = {, y ; y }, y D r, θ ep y yddy D D 9 s96. d y dt + 3dy + y = cos t dt t = y = e π + e π +. t = π y =.9 s6.3 d y d + dy d + y = y =, dy d = 3 a, b

More information

-2-

-2- -1-2009 3 2 2 HP http://homepage3.nifty.com/office-wada/ -2- -3-1 01 X Y 100 Y Y 02 A B B C A -4- 2 03 X Y Y X XY Y X Y X Y Z XY Z Z X 261 24 14 49 41 77 1 48 6 21 27 6 712 11 1 53 9 14 906 88 X1 X2 X3

More information

放射線化学, 92, 39 (2011)

放射線化学, 92, 39 (2011) V. M. S. V. 1 Contents of the lecture note by Prof. V. M. Byakov and Dr. S. V. Stepanov (Institute of Theoretical and Experimental Physics, Russia) are described in a series of articles. The first article

More information

( ) ー ( () ) 250 200 150 100 50 0 51 20 54 59 33 35 91 92 93 98 99 94 6 7 7 8 9 11 18 17 18 20 22 23 10 9 8 9 9 9 62 40 66 74 41 47 21 22 23 24 25 26 10 8 6 4 2 0 m3/s 7 41.3 5 5 18.4

More information

数学の基礎訓練I

数学の基礎訓練I I 9 6 13 1 1 1.1............... 1 1................ 1 1.3.................... 1.4............... 1.4.1.............. 1.4................. 3 1.4.3........... 3 1.4.4.. 3 1.5.......... 3 1.5.1..............

More information

2 1 1 α = a + bi(a, b R) α (conjugate) α = a bi α (absolute value) α = a 2 + b 2 α (norm) N(α) = a 2 + b 2 = αα = α 2 α (spure) (trace) 1 1. a R aα =

2 1 1 α = a + bi(a, b R) α (conjugate) α = a bi α (absolute value) α = a 2 + b 2 α (norm) N(α) = a 2 + b 2 = αα = α 2 α (spure) (trace) 1 1. a R aα = 1 1 α = a + bi(a, b R) α (conjugate) α = a bi α (absolute value) α = a + b α (norm) N(α) = a + b = αα = α α (spure) (trace) 1 1. a R aα = aα. α = α 3. α + β = α + β 4. αβ = αβ 5. β 0 6. α = α ( ) α = α

More information

Outline I. Introduction: II. Pr 2 Ir 2 O 7 Like-charge attraction III.

Outline I. Introduction: II. Pr 2 Ir 2 O 7 Like-charge attraction III. Masafumi Udagawa Dept. of Physics, Gakushuin University Mar. 8, 16 @ in Gakushuin University Reference M. U., L. D. C. Jaubert, C. Castelnovo and R. Moessner, arxiv:1603.02872 Outline I. Introduction:

More information

Ando_JournalClub_160708

Ando_JournalClub_160708 Independent discoveries of a tidally disrupting dwarf galaxy around NGC 253! A Tidally Disrupting Dwarf Galaxy in the Halo of NGC 253 Toloba, E. et al. 2016, ApJL, 816, L5 (hereafter T16, accepted 2015.12.07)

More information

QMI_10.dvi

QMI_10.dvi ... black body radiation black body black body radiation Gustav Kirchhoff 859 895 W. Wien O.R. Lummer cavity radiation ν ν +dν f T (ν) f T (ν)dν = 8πν2 c 3 kt dν (Rayleigh Jeans) (.) f T (ν) spectral energy

More information

茨歯会報1402

茨歯会報1402 No.539 茨城県歯科医師会 Ibar Ib b arr ak a i D De ent e nt n al a l Ass A ss s s oc o cia ia a ti t i on o February 2014 平成26年 2 Contents No.539 http://www.ibasikai.or.jp/ 539 2014.2 539 2014.2 539 2014.2 539

More information

茨歯会報1502

茨歯会報1502 No.551 茨城県歯科医師会 Ibar Ib b arr ak a i D De ent e nt n al a l Ass A ss s s oc o cia ia a ti t i on o February 2015 平成27年 2 Contents No.551 http://www.ibasikai.or.jp/ 551 2015.2 551 2015.2 551 2015.2 551

More information

128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds

128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds 127 3 II 3.1 3.1.1 Φ(t) ϕ em = dφ dt (3.1) B( r) Φ = { B( r) n( r)}ds (3.2) S S n( r) Φ 128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds

More information