Results in Neutrino Oscillations from Super-Kamiokande I
|
|
|
- 随 宦
- 7 years ago
- Views:
Transcription
1 δ? ( ) Soo-Bong Kim (SNU)
2 "for pioneering contributions to astrophysics, in particular for the detection of cosmic neutrinos Raymond Davis Jr. USA (University of Pennsylvania) Masatoshi Koshiba Japan (University of Tokyo) "for pioneering contributions to astrophysics, which have led to the discovery of cosmic X-ray sources Riccardo Giacconi USA (Associated Universities Inc.)
3 Neutrinos can probe the interior of stars. Neutrinos are transparent to the Milky way. Neutrinos are efficient to carry out energies from the star explosion. Neutrinos from Sun, Supernova explosion, Galaxy, Dark-Matter Annihilation, etc.
4 Solar Neutrinos Atmospheric Neutrinos Supernova Neutrinos Cosmic Background Neutrinos Ultra High Energy Neutrinos
5 W. Pauli (1931): Undetectable neutral particle E. Fermi (1934) Neutrino F. Reines (1956): Discovery L. Lederman, M. Schwartz, J. Steinberg (196): Muon Neutrino R. Davis (1968): First detection of solar neutrinos M. Koshiba (1987): Supernova neutrinos by Kamiokande-II and IMB Y. Totsuka (1998): Oscillation of atmospheric neutrinos at Super- Kamiokande SNO (): Oscillation of solar neutrinos
6
7 (.) (1.3) (175 ) (.5) (.14) ( 4.) /3-1/3 (.5) (.16) (1.8) e -1 () () (8) (91)
8 GUT ( ) ( ) (MNS ) (,, )
9 να ν β () = ( cosθ ( ) sinθ ) ν 1 -sinθ cosθ ν P(ν α ν β ) = sin θ sin (1.7 m L/E) m = m -m 1 (ev ) L (km): Distance from source to detector E (GeV): Neutrino energy
10 Solar neutrino data (Super-Kamiokande, SNO) Atmospheric neutrino data (Super-Kamiokande) Neutrino beam data (KK)
11 C Scientific American Super- Kamiokande Water Cherenkov detector ν 1 m underground 5, ton (,5 ton fid.) 11,146 inch PMTs 1,885 anti-counter PMTs SK-I: Apr 1996 Jul 1 SK-II: Dec
12 SK-1 (Jan. 1996)
13 ID + 11 OD PMTs destroyed
14
15 Encase all Never the existing PMTs repeat (546) in acrylic the + frpaccident cases to prevent shock wave generation
16 (Sep. 17, ) SK-II Resumed data-taking in Dec,!
17 Solar Neutrino Data of Super-Kamiokande ν E e = 5. - MeV e - ν e e ν e e scattering (contains 15% of NC) θ sun 385 solar ν events (14.5 events/day) 8 B flux :.35 ±. ±.8 Data SSM [x 1 6 /cm /sec] -.15 =.465 ± COSθ sun
18
19
20 KamLAND (Confirmation of solar neutrino oscillations) m (ev ) From K.Inoue (Tohoku Univ.) 3 years 95% rate 1-4 LMA 95% KamLAND sensitivity 6 ton, 5 years 8% reactor power shape analysis above.6 MeV 5% systematic error sin θ
21 Solar neutrino oscillations (ν e ν µ /ν τ ) are established by Super-Kamiokande and SNO data. ( m 1 ~ 1-4 ev ) LMA solutions are favored by no spectrum distortion and no day/night effect. Large Mixing Angle(LMA) by a global fit:.5 x1-5 ev < m ( m 1 ) < 3.3 x1-4 ev.5 < tan θ <.9 (3σ C.L.) KamLAND confirmed the LMA at 4.6σ C.L. See also: Phys. Lett.. B , 187,
22
23 Number of Events Number of Events 45 Sub-GeV e-like cosθ.5 1 Multi-GeV e-like Zenith Angle Distributions ν µ ν τ -flavor oscillations cosθ Number of Events Number of Events Sub-GeV µ-like cosθ Multi-GeV µ-like + PC cosθ Number of Events Number of Events Best fit ( m =.5x1-3 ev, sin θ=1. χ min=163./17 d.o.f) Null oscillation (χ =456.5/17 d.o.f) cosθ Sub-GeV Multi-ring µ like Multi-GeV Multi-ring µ like cosθ Flux(1-13 cm - s -1 sr -1 ) Flux(1-13 cm - s -1 sr -1 ) Upward Stopping µ cosθ Upward Through Going µ cosθ 13km 5km 15km 13km 5km
24 Evidence for neutrino oscillations and masses he most cited paper in the experimental particle physics (more than 1,6)
25 ν µ ν τ ( m 3 ) m (ev ) 1-1 ν µ ν τ Best fit( m =.5x1-3,sin θ=1. χ min=163./17 d.o.f) m 3 = (1.6~3.9)x1-3 ev sin θ 3 >.9 (9%CL) 1-4 FC+PC+UPMU combined FC+PC Upgoing through µ Upgoing stop µ/upgoing through µ sin θ
26 3-flavor mixing θ 13?
27 ν e Solar ν m 1 ~1-4 ev ν µ Atmospheric ν m 3 =3x1-3 ev ν τ
28 Oscillation Probabilities when Atmospheric ν 3 m 1 << m3 m13 m 3 m m 1 θ 3 :ν µ disappearance P 4 µ x 1 cos θ 13 sin θ 3 sin ( 1.7 m L / E ) 3 ν θ 13 :ν e appearance common P Solar ν µ e sin θ 3 sin θ 13 θ 1 :ν e disappearance P + e 1 x sin cos θ 4 13 θ 13 sin θ 1 sin sin ( 1.7 m L / E ) 3 ( 1.7 m L / E ) 1 ν ν
29 3 1-1 ( m = m 3 m 13 ) % C.L. 99% C.L. m (ev ) SK 9% C.L. SK 99% C.L. CHOOZ 9% CL exclude PALO VERDE 9 % CL exclude sin θ 13 m (ev ) sin θ 3 Pure ν µ ν τ getting close to CHOOZ s limit on θ13 Pure ν e ν τ Pure ν e ν µ consistent with CHOOZ s excluded region
30 ν µ ν τ flavor oscillations are established. ( m = m 3 m 13 >> m 1 ) m = (1.6~3.9)x1-3 ev sin θ 3 >.9 (9% C.L.) ν s admixture is disfavored (sin 3 flavor oscillations are tested and give an allowed region of θ 13, consistent with CHOOZ: sin θ 13 <.1 (9% C.L.)
31 KK (KEK to Kamioka)
32 KEK (June 1999 July 1) Detector 1kt (5t, H O) SciFi (5.9t, H O+Al) MRD (73t, Fe) Neutrino Expectation Events at SK ~8, 8.6 ±.3(stat) (sys) 7, ±1.3(stat) (sys) ~15, 87.4 ±.4(stat) (sys)
33 Super-K. T T SK TSpill TOF 1.3µ sec FC events events T (µsec) (T) µs ±5µsec ±5µsec 56 events! No Decay-e HE Trig. FCFV 1.5µs -5 5 (T) µs T (µsec) T spill GPS T SK T Spill : Abs. time of spill start T SK : Abs. time of SK event TOF:.83ms (KEK to Kamioka) FC: fully contained (No activity in Outer Detector) FV:.5kt Fiducial Volume Expected Atm. ν BG <1-3 within 1.5µs.
34 Super-Kamiokande
35 KK Number of total interactions (Jun99-Jul1 ) N obs =56 N exp = Reconstructed Eν shape of 1-RFCµ (9 1-R events in Nov99-Jul1) Events no oscillation Normalized by area 6 #Events Best w/ oscillations fit point (KS-test = 79%) 1 Protons on target (E18) E ν rec GeV
36 KK KK Best fit point = (1.,.8x1-3 ev ) Method1.8x1-3 Method.7x1-3 Super-K result Null oscillation probability < 1% Method1.7% Method.4% Two independent methods agree with each other
37 (!) MNS(Maki-Nakagawa-Sakata) = 3 1 ν ν ν ν ν ν α τ µ i e U = 1 cos sin sin cos cos sin 1 sin cos cos sin sin cos θ θ θ θ θ θ θ θ θ θ θ θ δ δ i i e e U ij j j j i i i U U U U Φ = > * * )sin Re( 4 ) P( β α β α αβ β α δ ν ν ij j j j i i i U U U U Φ ± > * * )sin Im( β α β α [GeV] [km]/ ] [ev m / m ν E ν L E L ij ij ij = Φ ) m m m ( = + +
38 JHF- (7)
Ζ # % & ( ) % + & ) / 0 0 1 0 2 3 ( ( # 4 & 5 & 4 2 2 ( 1 ) ). / 6 # ( 2 78 9 % + : ; ( ; < = % > ) / 4 % 1 & % 1 ) 8 (? Α >? Β? Χ Β Δ Ε ;> Φ Β >? = Β Χ? Α Γ Η 0 Γ > 0 0 Γ 0 Β Β Χ 5 Ι ϑ 0 Γ 1 ) & Ε 0 Α
! # % & ( & # ) +& & # ). / 0 ) + 1 0 2 & 4 56 7 8 5 0 9 7 # & : 6/ # ; 4 6 # # ; < 8 / # 7 & & = # < > 6 +? # Α # + + Β # Χ Χ Χ > Δ / < Ε + & 6 ; > > 6 & > < > # < & 6 & + : & = & < > 6+?. = & & ) & >&
Ρ Τ Π Υ 8 ). /0+ 1, 234) ς Ω! Ω! # Ω Ξ %& Π 8 Δ, + 8 ),. Ψ4) (. / 0+ 1, > + 1, / : ( 2 : / < Α : / %& %& Ζ Θ Π Π 4 Π Τ > [ [ Ζ ] ] %& Τ Τ Ζ Ζ Π
! # % & ( ) + (,. /0 +1, 234) % 5 / 0 6/ 7 7 & % 8 9 : / ; 34 : + 3. & < / = : / 0 5 /: = + % >+ ( 4 : 0, 7 : 0,? & % 5. / 0:? : / : 43 : 2 : Α : / 6 3 : ; Β?? : Α 0+ 1,4. Α? + & % ; 4 ( :. Α 6 4 : & %
! Ν! Ν Ν & ] # Α. 7 Α ) Σ ),, Σ 87 ) Ψ ) +Ε 1)Ε Τ 7 4, <) < Ε : ), > 8 7
!! # & ( ) +,. )/ 0 1, 2 ) 3, 4 5. 6 7 87 + 5 1!! # : ;< = > < < ;?? Α Β Χ Β ;< Α? 6 Δ : Ε6 Χ < Χ Α < Α Α Χ? Φ > Α ;Γ ;Η Α ;?? Φ Ι 6 Ε Β ΕΒ Γ Γ > < ϑ ( = : ;Α < : Χ Κ Χ Γ? Ε Ι Χ Α Ε? Α Χ Α ; Γ ;
,!! #! > 1? = 4!! > = 5 4? 2 Α Α!.= = 54? Β. : 2>7 2 1 Χ! # % % ( ) +,. /0, , ) 7. 2
! # %!% # ( % ) + %, ). ) % %(/ / %/!! # %!! 0 1 234 5 6 2 7 8 )9!2: 5; 1? = 4!! > = 5 4? 2 Α 7 72 1 Α!.= = 54?2 72 1 Β. : 2>7 2 1 Χ! # % % ( ) +,.
) & ( +,! (# ) +. + / & 6!!!.! (!,! (! & 7 6!. 8 / ! (! & 0 6! (9 & 2 7 6!! 3 : ; 5 7 6! ) % (. ()
! # % & & &! # % &! ( &! # )! ) & ( +,! (# ) +. + / 0 1 2 3 4 4 5 & 6!!!.! (!,! (! & 7 6!. 8 / 6 7 6 8! (! & 0 6! (9 & 2 7 6!! 3 : ; 5 7 6! ) % (. () , 4 / 7!# + 6 7 1 1 1 0 7!.. 6 1 1 2 1 3
! + +, ) % %.!&!, /! 0! 0 # ( ( # (,, # ( % 1 2 ) (, ( 4! 0 & 2 /, # # ( &
! # %! &! #!! %! %! & %! &! & ( %! & #! & )! & & + ) +!!, + ! + +, ) % %.!&!, /! 0! 0 # ( ( # (,, # ( % 1 2 ) (, 3 0 1 ( 4! 0 & 2 /, # # ( 1 5 2 1 & % # # ( #! 0 ) + 4 +, 0 #,!, + 0 2 ), +! 0! 4, +! (!
%% &% %% %% %% % () (! #! %!!!!!!!%! # %& ( % & ) +, # (.. /,) %& 0
!! # # %% &% %% %% %% % () (! #! %!!!!!!!%! # %& ( % & ) +, # (.. /,) %& 0 +! (%& / 1! 2 %& % & 0/ / %& + (.%.%, %& % %& )& % %& ) 3, &, 5, % &. ) 4 4 4 %& / , %& ).. % # 6 /0 % &. & %& ) % %& 0.!!! %&
!! # % & ( )!!! # + %!!! &!!, # ( + #. ) % )/ # & /.
! # !! # % & ( )!!! # + %!!! &!!, # ( + #. ) % )/ # & /. #! % & & ( ) # (!! /! / + ) & %,/ #! )!! / & # 0 %#,,. /! &! /!! ) 0+(,, # & % ) 1 # & /. / & %! # # #! & & # # #. ).! & #. #,!! 2 34 56 7 86 9
! # %& ( %! & & + %!, ( Α Α Α Α Χ Χ Α Χ Α Α Χ Α Α Α Α
Ε! # % & ( )%! & & + %!, (./ 0 1 & & 2. 3 &. 4/. %! / (! %2 % ( 5 4 5 ) 2! 6 2! 2 2. / & 7 2! % &. 3.! & (. 2 & & / 8 2. ( % 2 & 2.! 9. %./ 5 : ; 5. % & %2 2 & % 2!! /. . %! & % &? & 5 6!% 2.
4= 8 4 < 4 ϑ = 4 ϑ ; 4 4= = 8 : 4 < : 4 < Κ : 4 ϑ ; : = 4 4 : ;
! #! % & ( ) +!, + +!. / 0 /, 2 ) 3 4 5 6 7 8 8 8 9 : 9 ;< 9 = = = 4 ) > (/?08 4 ; ; 8 Β Χ 2 ΔΔ2 4 4 8 4 8 4 8 Ε Φ Α, 3Γ Η Ι 4 ϑ 8 4 ϑ 8 4 8 4 < 8 4 5 8 4 4
., /,, 0!, + & )!. + + (, &, & 1 & ) ) 2 2 ) 1! 2 2
! # &!! ) ( +, ., /,, 0!, + & )!. + + (, &, & 1 & ) ) 2 2 ) 1! 2 2 ! 2 2 & & 1 3! 3, 4 45!, 2! # 1 # ( &, 2 &, # 7 + 4 3 ) 8. 9 9 : ; 4 ), 1!! 4 4 &1 &,, 2! & 1 2 1! 1! 1 & 2, & 2 & < )4 )! /! 4 4 &! &,
, ( 6 7 8! 9! (, 4 : : ; 0.<. = (>!? Α% ), Β 0< Χ 0< Χ 2 Δ Ε Φ( 7 Γ Β Δ Η7 (7 Ι + ) ϑ!, 4 0 / / 2 / / < 5 02
! # % & ( ) +, ) %,! # % & ( ( ) +,. / / 01 23 01 4, 0/ / 5 0 , ( 6 7 8! 9! (, 4 : : ; 0.!? Α% ), Β 0< Χ 0< Χ 2 Δ Ε Φ( 7 Γ Β Δ 5 3 3 5 3 1 Η7 (7 Ι + ) ϑ!, 4 0 / / 2 / 3 0 0 / < 5 02 Ν!.! %) / 0
# # 4 + % ( ) ( /! 3 (0 0 (012 0 # (,!./ %
#! # # %! # + 5 + # 4 + % ( ) ( /! 3 (0 0 (012 0 # (,!./ % ,9 989 + 8 9 % % % % # +6 # % 7, # (% ) ,,? % (, 8> % %9 % > %9 8 % = ΑΒ8 8 ) + 8 8 >. 4. ) % 8 # % =)= )
% %! # % & ( ) % # + # # % # # & & % ( #,. %
!!! # #! # % & % %! # % & ( ) % # + # # % # # & & % ( #,. % , ( /0 ) %, + ( 1 ( 2 ) + %, ( 3, ( 123 % & # %, &% % #, % ( ) + & &% & ( & 4 ( & # 4 % #, #, ( ) + % 4 % & &, & & # / / % %, &% ! # #! # # #
/ Ν #, Ο / ( = Π 2Θ Ε2 Ρ Σ Π 2 Θ Ε Θ Ρ Π 2Θ ϑ2 Ρ Π 2 Θ ϑ2 Ρ Π 23 8 Ρ Π 2 Θϑ 2 Ρ Σ Σ Μ Π 2 Θ 3 Θ Ρ Κ2 Σ Π 2 Θ 3 Θ Ρ Κ Η Σ Π 2 ϑ Η 2 Ρ Π Ρ Π 2 ϑ Θ Κ Ρ Π
! # #! % & ( ) % # # +, % #. % ( # / ) % 0 1 + ) % 2 3 3 3 4 5 6 # 7 % 0 8 + % 8 + 9 ) 9 # % : ; + % 5! + )+)#. + + < ) ( # )# < # # % 0 < % + % + < + ) = ( 0 ) # + + # % )#!# +), (? ( # +) # + ( +. #!,
!!! #! )! ( %!! #!%! % + % & & ( )) % & & #! & )! ( %! ),,, )
! # % & # % ( ) & + + !!! #! )! ( %!! #!%! % + % & & ( )) % & & #! & )! ( %! ),,, ) 6 # / 0 1 + ) ( + 3 0 ( 1 1( ) ) ( 0 ) 4 ( ) 1 1 0 ( ( ) 1 / ) ( 1 ( 0 ) ) + ( ( 0 ) 0 0 ( / / ) ( ( ) ( 5 ( 0 + 0 +
8 9 8 Δ 9 = 1 Η Ι4 ϑ< Κ Λ 3ϑ 3 >1Ε Μ Ε 8 > = 8 9 =
!! % & ( & ),,., / 0 1. 0 0 3 4 0 5 3 6!! 7 8 9 8!! : ; < = > :? Α 4 8 9 < Β Β : Δ Ε Δ Α = 819 = Γ 8 9 8 Δ 9 = 1 Η Ι4 ϑ< Κ Λ 3ϑ 3 >1Ε 8 9 0 Μ Ε 8 > 9 8 9 = 8 9 = 819 8 9 =
, & % # & # # & % & + # & # # # & # % #,
! # #! % # & # & & ( ( # ) % , & % # & # # & % & + # & # # # & # % #, # % % # % # ) % # % % # % # # % # % # + # % ( ( # % & & & & & & % & & # % # % & & % % % . % # / & & # 0 ) & # % & % ( # # & & & # #
) Μ <Κ 1 > < # % & ( ) % > Χ < > Δ Χ < > < > / 7 ϑ Ν < Δ 7 ϑ Ν > < 8 ) %2 ): > < Ο Ε 4 Π : 2 Θ >? / Γ Ι) = =? Γ Α Ι Ρ ;2 < 7 Σ6 )> Ι= Η < Λ 2 % & 1 &
! # % & ( ) % + ),. / & 0 1 + 2. 3 ) +.! 4 5 2 2 & 5 0 67 1) 8 9 6.! :. ;. + 9 < = = = = / >? Α ) /= Β Χ Β Δ Ε Β Ε / Χ ΦΓ Χ Η Ι = = = / = = = Β < ( # % & ( ) % + ),. > (? Φ?? Γ? ) Μ
Β 8 Α ) ; %! #?! > 8 8 Χ Δ Ε ΦΦ Ε Γ Δ Ε Η Η Ι Ε ϑ 8 9 :! 9 9 & ϑ Κ & ϑ Λ &! &!! 4!! Μ Α!! ϑ Β & Ν Λ Κ Λ Ο Λ 8! % & Π Θ Φ & Ρ Θ & Θ & Σ ΠΕ # & Θ Θ Σ Ε
! #!! % & ( ) +,. /. 0,(,, 2 4! 6! #!!! 8! &! % # & # &! 9 8 9 # : : : : :!! 9 8 9 # #! %! ; &! % + & + & < = 8 > 9 #!!? Α!#!9 Α 8 8!!! 8!%! 8! 8 Β 8 Α ) ; %! #?! > 8 8 Χ Δ Ε ΦΦ Ε Γ Δ Ε Η Η Ι Ε ϑ 8 9 :!
8 9 < ; ; = < ; : < ;! 8 9 % ; ϑ 8 9 <; < 8 9 <! 89! Ε Χ ϑ! ϑ! ϑ < ϑ 8 9 : ϑ ϑ 89 9 ϑ ϑ! ϑ! < ϑ < = 8 9 Χ ϑ!! <! 8 9 ΧΧ ϑ! < < < < = 8 9 <! = 8 9 <! <
! # % ( ) ( +, +. ( / 0 1) ( 2 1 1 + ( 3 4 5 6 7! 89 : ; 8 < ; ; = 9 ; ; 8 < = 9! ; >? 8 = 9 < : ; 8 < ; ; = 9 8 9 = : : ; = 8 9 = < 8 < 9 Α 8 9 =; %Β Β ; ; Χ ; < ; = :; Δ Ε Γ Δ Γ Ι 8 9 < ; ; = < ; :
> # ) Β Χ Χ 7 Δ Ε Φ Γ 5 Η Γ + Ι + ϑ Κ 7 # + 7 Φ 0 Ε Φ # Ε + Φ, Κ + ( Λ # Γ Κ Γ # Κ Μ 0 Ν Ο Κ Ι Π, Ι Π Θ Κ Ι Π ; 4 # Ι Π Η Κ Ι Π. Ο Κ Ι ;. Ο Κ Ι Π 2 Η
1 )/ 2 & +! # % & ( ) +, + # # %. /& 0 4 # 5 6 7 8 9 6 : : : ; ; < = > < # ) Β Χ Χ 7 Δ Ε Φ Γ 5 Η Γ + Ι + ϑ Κ 7 # + 7 Φ 0 Ε Φ # Ε + Φ, Κ + ( Λ # Γ Κ Γ #
= Υ Ξ & 9 = ) %. Ο) Δ Υ Ψ &Ο. 05 3; Ι Ι + 4) &Υ ϑ% Ο ) Χ Υ &! 7) &Ξ) Ζ) 9 [ )!! Τ 9 = Δ Υ Δ Υ Ψ (
! # %! & (!! ) +, %. ( +/ 0 1 2 3. 4 5 6 78 9 9 +, : % % : < = % ;. % > &? 9! ) Α Β% Χ %/ 3. Δ 8 ( %.. + 2 ( Φ, % Γ Η. 6 Γ Φ, Ι Χ % / Γ 3 ϑκ 2 5 6 Χ8 9 9 Λ % 2 Χ & % ;. % 9 9 Μ3 Ν 1 Μ 3 Φ Λ 3 Φ ) Χ. 0
4 # = # 4 Γ = 4 0 = 4 = 4 = Η, 6 3 Ι ; 9 Β Δ : 8 9 Χ Χ ϑ 6 Κ Δ ) Χ 8 Λ 6 ;3 Ι 6 Χ Δ : Χ 9 Χ Χ ϑ 6 Κ
! # % & & ( ) +, %. % / 0 / 2 3! # 4 ) 567 68 5 9 9 : ; > >? 3 6 7 : 9 9 7 4! Α = 42 6Β 3 Χ = 42 3 6 3 3 = 42 : 0 3 3 = 42 Δ 3 Β : 0 3 Χ 3 = 42 Χ Β Χ 6 9 = 4 =, ( 9 6 9 75 3 6 7 +. / 9
NeutrinoOscillations.pdf
Particle Physics Michaelmas Term 2010 Prof Mark Thomson Handout 11 : Neutrino Oscillations Prof. M.A. Thomson Michaelmas 2010 341 Neutrino Flavours Revisited Never directly observe neutrinos can only detect
2 2 Λ ϑ Δ Χ Δ Ι> 5 Λ Λ Χ Δ 5 Β. Δ Ι > Ε!!Χ ϑ : Χ Ε ϑ! ϑ Β Β Β ϑ Χ Β! Β Χ 5 ϑ Λ ϑ % < Μ / 4 Ν < 7 :. /. Ο 9 4 < / = Π 7 4 Η 7 4 =
! # % # & ( ) % # ( +, & % # ) % # (. / ). 1 2 3 4! 5 6 4. 7 8 9 4 : 2 ; 4 < = = 2 >9 3? & 5 5 Α Α 1 Β ΧΔ Ε Α Φ 7 Γ 9Η 8 Δ Ι > Δ / ϑ Κ Α Χ Ε ϑ Λ ϑ 2 2 Λ ϑ Δ Χ Δ Ι> 5 Λ Λ Χ Δ 5 Β. Δ Ι > Ε!!Χ ϑ : Χ Ε ϑ!
( ) (! +)! #! () % + + %, +,!#! # # % + +!
!! # % & & & &! # # % ( ) (! +)! #! () % + + %, +,!#! # # % + +! ! %!!.! /, ()!!# 0 12!# # 0 % 1 ( ) #3 % & & () (, 3)! #% % 4 % + +! (!, ), %, (!!) (! 3 )!, 1 4 ( ) % % + % %!%! # # !)! % &! % () (! %
P r = 1 + ecosθ 2 V = V + V 1 2 2V1V2 cosθ 2 2 = ( V V ) + 2V V ( 1 cos θ) 1 2 1 2 40000 V = 0. 5( / ) 24 60 60 λ m = 5100A = 0.51 Å 2 u e d s 3 1 e uud udd 3 2 3 e 1 3 e V = 2 9. 8 2000 = 198 V
Π Ρ! #! % & #! (! )! + %!!. / 0% # 0 2 3 3 4 7 8 9 Δ5?? 5 9? Κ :5 5 7 < 7 Δ 7 9 :5? / + 0 5 6 6 7 : ; 7 < = >? : Α8 5 > :9 Β 5 Χ : = 8 + ΑΔ? 9 Β Ε 9 = 9? : ; : Α 5 9 7 3 5 > 5 Δ > Β Χ < :? 3 9? 5 Χ 9 Β
3 4 Ψ Ζ Ζ [, Β 7 7>, Θ0 >8 : Β0 >, 4 Ε2 Ε;, ] Ε 0, 7; :3 7;,.2.;, _ & αε Θ:. 3 8:,, ), β & Φ Η Δ?.. 0?. χ 7 9 Ε >, Δ? Β7 >7 0, Τ 0 ΚΚ 0 χ 79 Ε >, Α Ε
(! # # %& ) +,./ 0 & 0 1 2 / & %&( 3! # % & ( ) & +, ), %!,. / 0 1 2. 3 4 5 7 8 9 : 0 2; < 0 => 8?.. >: 7 2 Α 5 Β % Χ7 Δ.Ε8 0Φ2.Γ Φ 5 Η 8 0 Ι 2? : 9 ϑ 7 ϑ0 > 2? 0 7Ε 2?. 0. 2 : Ε 0 9?: 9 Κ. 9 7Λ /.8 720
# ( + + # + # 6 +,! + # +! +, + # ( + ) ( + ( + ) + 7! + # + /8 + ) ( +! + #. + ( +, +! + # + # + + ( ! ( + ) ( + ) +, + ( + 9% +! +, + ( +
! ## % & (! ) # (! + ) (, ( + ) ( +! ( + + # + #! + ( + + ( + ) ( + + ( + # + ) +! ( + ( + # +! ( + ) + # ( + ) + # +! ( +. + / 0. + ( + # + # + +, + ) + + ) + 1!, ( 2 1 # 3 )! # ( 4 5 #3 (! # ( 4 # #
%! # # % % & # ( ) ( +, & +, +, & +, & +, +, &!
%! # # % % & # ( ) ( +, & +, +, & +, & +, +, &! & &./ 0 # #1 # 2! +, 3 4 4 +,!!!! 4 4 4 4 4 56 7 89 #! 4! 4 4! 4 4! 14 #: 2 4! +,! +, 14 4 ; < = ( 4 < = +14 # : 1 1 4 # : : 3 # (4,! / +, +, +, > +,? 3
: p Previous Next First Last Back Forward 1
7-2: : 7.2......... 1 7.2.1....... 1 7.2.2......... 13 7.2.3................ 18 7.2.4 0-1 p.. 19 7.2.5.... 21 Previous Next First Last Back Forward 1 7.2 :, (0-1 ). 7.2.1, X N(µ, σ 2 ), < µ 0;
例15
cos > g g lim lim cos lim lim lim g lim ) ) lim lim g ) cos lim lim lim 3 / ) ) y, ) ) y o y y, ) y y y) y o y) ) e, ), ) y arctan y y Ce y) C y ) e y) y ) e g n www.tsinghuatutor.com [ g ] C k n n) n
) ) ) Ο ΛΑ >. & Β 9Α Π Ν6 Γ2 Π6 Φ 2 Μ 5 ΝΒ 8 3 Β 8 Η 5 Φ6 Β 8 Η 5 ΝΒ 8 Φ 9 Α Β 3 6 ΝΒ 8 # # Ε Ο ( & & % ( % ) % & +,. &
!! # % & ( ) +,.% /.0.% 1 2 3 / 5,,3 6 7 6 8 9 6!! : 3 ) ; < < = )> 2?6 8 Α8 > 6 2 Β 3Α9 Α 2 8 Χ Δ < < Ε! ; # < # )Φ 5 Γ Γ 2 96 Η Ι ϑ 0 Β 9 Α 2 8 Β 3 0 Β 9 Β ΦΚ Α 6 8 6 6 Λ 2 5 8 Η Β 9 Α 2 8 2 Μ 6 Ν Α
untitled
1 2 3 4 5 A 800 700 600 500 400 300 200 100 0-100 10000 9500 9000 8500 8000 7500 7000 6500 6000 2006.1-2007.5 A 1986.1-1991.12 6 7 6 27 WIND A 52.67 2007 44 8 60 55 50 45 40 35 30 25 20 15 10 2001-05 2002-02
< < ; : % & < % & > & % &? > & 5 % & ( ; & & % & Α Β + 8 ; Α9 Χ Δ () Χ Δ Ε 41 Φ # (Β % Γ : 9 Χ Δ Η +9 Χ Δ 2 9 Χ Δ 2 0 /? % & Ι 1 ϑ Κ 3 % & % & + 9 Β 9
!! #! % & ( ) +,. / 0 1 2 34 5 6 % & +7 % & 89 % & % & 79 % & : % & < < ; : % & < % & > & % &? > & 5 % & ( ; & & % & Α Β + 8 ; Α9 Χ Δ () Χ Δ Ε 41 Φ # (Β % Γ : 9 Χ Δ Η +9 Χ Δ 2 9 Χ Δ 2 0 /? % & Ι 1 ϑ Κ
3?! ΑΑΑΑ 7 ) 7 3
! # % & ( ) +, #. / 0 # 1 2 3 / 2 4 5 3! 6 ) 7 ) 7 ) 7 ) 7 )7 8 9 9 :5 ; 6< 3?! ΑΑΑΑ 7 ) 7 3 8! Β Χ! Δ!7 7 7 )!> ; =! > 6 > 7 ) 7 ) 7 )
% & :?8 & : 3 ; Λ 3 3 # % & ( ) + ) # ( ), ( ) ). ) / & /:. + ( ;< / 0 ( + / = > = =? 2 & /:. + ( ; < % >=? ) 2 5 > =? 2 Α 1 Β 1 + Α
# % & ( ) # +,. / 0 1 2 /0 1 0 3 4 # 5 7 8 / 9 # & : 9 ; & < 9 = = ;.5 : < 9 98 & : 9 %& : < 9 2. = & : > 7; 9 & # 3 2
! ΑΒ 9 9 Χ! Δ? Δ 9 7 Χ = Δ ( 9 9! Δ! Δ! Δ! 8 Δ! 7 7 Δ Δ 2! Χ Δ = Χ! Δ!! =! ; 9 7 Χ Χ Χ <? < Χ 8! Ε (9 Φ Γ 9 7! 9 Δ 99 Φ Γ Χ 9 Δ 9 9 Φ Γ = Δ 9 2
! # % ( % ) +,#./,# 0 1 2 / 1 4 5 6 7 8! 9 9 : ; < 9 9 < ; ?!!#! % ( ) + %,. + ( /, 0, ( 1 ( 2 0% ( ),..# % (., 1 4 % 1,, 1 ), ( 1 5 6 6 # 77 ! ΑΒ 9 9 Χ! Δ? Δ 9 7 Χ = Δ ( 9 9! Δ! Δ! Δ! 8 Δ!
! Β Β? Β ( >?? >? %? Γ Β? %? % % %? Χ Η Ιϑ Κ 5 8 Λ 9. Μ Ν Ο Χ? Π Β # % Χ Χ Θ Ρ% Ρ% Θ!??? % < & Θ
! # % & ( ) +,. / 0 1 + 2. 3 4. 56. / 7 89 8.,6 2 ; # ( ( ; ( ( ( # ? >? % > 64 5 5Α5. Α 8/ 56 5 9. > Β 8. / Χ 8 9 9 5 Δ Ε 5, 9 8 2 3 8 //5 5! Α 8/ 56/ 9. Φ ( < % < ( > < ( %! # ! Β Β? Β ( >?? >?
Α 3 Α 2Η # # > # 8 6 5# Ι + ϑ Κ Ι Ι Ι Η Β Β Β Β Β Β ΔΕ Β Β Γ 8 < Φ Α Α # >, 0 Η Λ Μ Ν Ο Β 8 1 Β Π Θ 1 Π Β 0 Λ Μ 1 Ρ 0 Μ ϑ Σ ϑ Τ Ο Λ 8 ϑ
! # % & ( ) % + ( ), & ). % & /. % 0 1!! 2 3 4 5# 6 7 8 3 5 5 9 # 8 3 3 2 4 # 3 # # 3 # 3 # 3 # 3 # # # ( 3 # # 3 5 # # 8 3 6 # # # # # 8 5# :;< 6#! 6 =! 6 > > 3 2?0 1 4 3 4! 6 Α 3 Α 2Η4 3 3 2 4 # # >
专题研究.doc
2005 2 1 14 11.2 14 15 15 14 [email protected] 500 MSCI 1991 2001 53 458 115 94 24 316 26 494 125 1995 26 14 1993 1993 1997 http://cn.morningstar.com 1998 1 2001 6 2000 1993 90 2002 2001 51
信息管理部2003
23 7 3 22 28451642 E-mail [email protected] 23 1 23 5 22 2 3 4 628 6688 866 62 52 956 46 817 912 696 792 6.5% 1: 2: -2.% -1.5% -19.% -27.6% 33.6 3.45 [2.22%] 5A:6.94 1A:9.89 2A:9.51 3A:8.44 22.14 11.23 1-1-12
Γ Ν Ν, 1 Ο ( Π > Π Θ 5?, ΔΓ 2 ( ΜΡ > Σ 6 = Η 1 Β Δ 1 = Δ Ι Δ 1 4 Χ ΓΗ 5 # Θ Γ Τ Δ Β 4 Δ 4. > 1 Δ 4 Φ? < Ο 9! 9 :; ;! : 9!! Υ9 9 9 ; = 8; = ; =
! 0 1 # & ( & ) +! &,. & /.#. & 2 3 4 5 6 7 8 9 : 9 ; < = : > < = 9< 4 ; < = 1 9 ; 3; : : ; : ;? < 5 51 ΑΒ Χ Δ Ε 51 Δ!! 1Φ > = Β Γ Η Α ΒΧ Δ Ε 5 11!! Ι ϑ 5 / Γ 5 Κ Δ Ε Γ Δ 4 Φ Δ Λ< 5 Ε 8 Μ9 6 8 7 9 Γ Ν
7!# 8! #;! < = >? 2 1! = 5 > Α Β 2 > 1 Χ Δ5 5 Α 9 Α Β Ε Φ 5Γ 1 Η Η1 Δ 5 1 Α Ι 1 Η Ι 5 Ε 1 > Δ! 8! #! 9 Κ 6 Λ!!!! ; ; 9 # !!6! 6! 6 # ;! ;
! #! % & % ( ) ( +, & %. / & % 0 12 / 1 4 5 5! 6 7 8 7 # 8 7 9 6 8 7! 8 7! 8 7 8 7 8 7 8 7 : 8 728 7 8 7 8 7 8 7 8 7 & 8 7 4 8 7 9 # 8 7 9 ; 8 ; 69 7!# 8! #;! < = >? 2 1! = 5 > Α Β 2 > 1 Χ Δ5 5 Α 9 Α Β
; < 5 6 => 6 % = 5
! # % ( ),,. / 0. 1, ) 2 3, 3+ 3 # 4 + % 5 6 67 5 6, 8 8 5 6 5 6 5 6 5 6 5 6 5 9! 7 9 9 6 : 6 ; 7 7 7 < 5 6 => 6 % = 5 Δ 5 6 ; Β ;? # Ε 6 = 6 Α Ε ; ; ; ; Φ Α Α Ε 0 Α Α Α Α Α Α Α Α Α Α Α Α Α Β Α Α Α Α Α
. Ν Σ % % : ) % : % Τ 7 ) & )? Α Β? Χ )? : Β Ν :) Ε Ν & Ν? ς Ε % ) Ω > % Τ 7 Υ Ν Ν? Π 7 Υ )? Ο 1 Χ Χ Β 9 Ξ Ψ 8 Ψ # #! Ξ ; Ξ > # 8! Ζ! #!! Θ Ξ #!! 8 Θ!
!! # %& + ( ) ),., / 0 12 3, 4 5 6, 7 6 6, 8! 1 9 :; #< = 1 > )& )? Α Β 3 % Χ %? 7) >ΔΒ Χ :% Ε? 9 : ; Φ Η Ι & Κ Λ % 7 Μ Ν?) 1!! 9 % Ο Χ Χ Β Π Θ Π ; Ρ Ρ Ρ Ρ Ρ ; . Ν Σ % % : ) % : % Τ 7 ) & )? Α Β? Χ )?
9 : : ; 7 % 8
! 0 4 1 % # % & ( ) # + #, ( ) + ) ( ). / 2 3 %! 5 6 7! 8 6 7 5 9 9 : 6 7 8 : 17 8 7 8 ; 7 % 8 % 8 ; % % 8 7 > : < % % 7! = = = : = 8 > > ; 7 Ε Β Β % 17 7 :! # # %& & ( ) + %&, %& ) # 8. / 0. 1 2 3 4 5
[9] R Ã : (1) x 0 R A(x 0 ) = 1; (2) α [0 1] Ã α = {x A(x) α} = [A α A α ]. A(x) Ã. R R. Ã 1 m x m α x m α > 0; α A(x) = 1 x m m x m +
2012 12 Chinese Journal of Applied Probability and Statistics Vol.28 No.6 Dec. 2012 ( 224002) Euclidean Lebesgue... :. : O212.2 O159. 1.. Zadeh [1 2]. Tanaa (1982) ; Diamond (1988) (FLS) FLS LS ; Savic
Sea of Japan Hokkaido Okhotsk Sea Study area Number of fish released (thousand) 120,000 100,000 80,000 60,000 40,000 20,000 0 1991 1993 1995 1997 1999 2001 Year Fish released in rivers Fish released from
8 8 Β Β : ; Χ; ; ; 8 : && Δ Ε 3 4Φ 3 4Φ Ε Δ Ε > Β & Γ 3 Γ 3 Ε3Δ 3 3 3? Ε Δ Δ Δ Δ > Δ # Χ 3 Η Ι Ι ϑ 3 Γ 6! # # % % # ( % ( ) + ( # ( %, & ( #,.
! # % & ( ) ( +,.% /.0.% 1 2 3 4 5 6 #! 7 8 9 9 : ; 8 : ; &; ; < ; 7 => 9 9 8?; 8! 3 3 3 3 Β & Γ 3 Γ 3 Ε3Δ 3 3 3?
InP半導体検出器を用いた制動輻射バックグラウンドの研究
インジウムを用いた太陽 ニュートリノ半導体検出器 の開発 XI 日本物理学会 2009 年秋季大会 宮城教育大学福田善之 加賀谷亮太東大宇宙線研森山茂栄 関谷洋之東大素粒子センター難波俊雄浜松ホトニクス ( 株 ) 固体事業部井澤利之 朝倉雅之 Motivation Allowed region obtained by combined results and KamLAND Survival probability
投影片 1
Coherence ( ) Temporal Coherence Michelson Interferometer Spatial Coherence Young s Interference Spatiotemporal Coherence 參 料 [1] Eugene Hecht, Optics, Addison Wesley Co., New York 2001 [2] W. Lauterborn,
7 6 Η : Δ >! % 4 Τ & Β( Β) 5 &! Α Υ Υ 2 Η 7 %! Φ! Β! 7 : 7 9 Λ 9 :? : 9 Λ Λ 7 Φ! : > 9 : 7Δ 2 Η : 7 ΛΔ := ς : Ν 7 Λ Δ = Ν : Ν 7 ΛΔ : = Λ ς :9 Λ 7 Λ! Λ
! % & ( ),. / & 0 1 & 2 1 // % & 3 0 4 5 ( 6( ) ( & 7 8 9:! ; < / 4 / 7 = : > : 8 > >? :! 0 1 & 7 8 Α :! 4 Β ( & Β ( ( 5 ) 6 Χ 8 Δ > 8 7:?! < 2 4 & Ε ; 0 Φ & % & 3 0 1 & 7 8 Α?! Γ ), Η % 6 Β% 3 Ι Β ϑ Ι
2-2
... 2-1... 2-2... 2-6... 2-9... 2-12... 2-13 2005 1000 2006 20083 2006 2006 2-1 2-2 2005 2006 IMF 2005 5.1% 4.3% 2006 2005 3.4% 0.2% 2006 2005 911 2005 2006 2-3 2006 2006 8.5% 1.7 1.6 1.2-0.3 8.3 4.3 3.2
1 <9= <?/:Χ 9 /% Α 9 Δ Ε Α : 9 Δ 1 8: ; Δ : ; Α Δ : Β Α Α Α 9 : Β Α Δ Α Δ : / Ε /? Δ 1 Δ ; Δ Α Δ : /6Φ 6 Δ
! #! %&! ( )! +,!. / 1,. + 2 ( 3 4 5 6 7 8 9: : 9: : : ; ; ? =
Α? Β / Χ 3 Δ Ε/ Ε 4? 4 Ε Φ? ΧΕ Γ Χ Η ΙΙ ϑ % Η < 3 Ε Φ Γ ΕΙΙ 3 Χ 3 Φ 4 Κ? 4 3 Χ Λ Μ 3 Γ Ε Φ ) Μ Ε Φ? 5 : < 6 5 % Λ < 6 5< > 6! 8 8 8! 9 9 9! 9 =! = 9!
# %!!! ( ) ( +, +. ( / 0 1) ( 21 1) ( 2 3 / 4!! 5 6 7 7! 8 8 9 : ; < 9 = < < :! : = 9 ; < = 8 9 < < = 9 8 : < >? % > % > % 8 5 6 % 9!9 9 : : : 9 Α % 9 Α? Β / Χ 3 Δ Ε/ Ε 4? 4 Ε Φ? ΧΕ Γ Χ Η ΙΙ ϑ % Η < 3
; 9 : ; ; 4 9 : > ; : = ; ; :4 ; : ; 9: ; 9 : 9 : 54 =? = ; ; ; : ;
! # % & ( ) ( +, +. ( /0!) ( 1!2!) ( 3 4 5 2 4 7 8 9: ; 9 < : = ; ; 54 ; = ; ; 75 ; # ; 9 : ; 9 : ; ; 9: ; ; 9 : ; ; 4 9 : > ; : = ; ; :4 ; : ; 9: ; 9 : 9 : 54 =? = ; ; ; 54 9 9: ; ;
= 6 = 9 >> = Φ > =9 > Κ Λ ΘΠΗ Ρ Λ 9 = Ρ > Ν 6 Κ = 6 > Ρ Κ = > Ρ Σ Ρ = Δ5 Τ > Τ Η 6 9 > Υ Λ Β =? Η Λ 9 > Η ς? 6 = 9 > Ρ Κ Φ 9 Κ = > Φ Φ Ψ = 9 > Ψ = Φ?
4 5 6 + 5! # % & ( ) +, ). /, 0 1 # % & ( ) + 2 ( 3 ) & 8 9 : ; ? 6 Α Β9 # ΧΔ = Φ > =9 > Κ Λ
投资高企 把握3G投资主题
行 业 研 究 东 兴 证 券 股 份 有 限 公 司 证 券 研 究 报 告 维 持 推 荐 白 酒 行 业 食 品 饮 料 行 业 2016 年 第 21 周 周 报 投 资 摘 要 : 上 周 市 场 表 现 和 下 周 投 资 策 略 上 周 食 品 饮 料 行 业 指 数 下 跌 0.89%, 跑 输 沪 深 300 指 数 1 个 百 分 点 食 品 饮 料 细 分 行 业 1 个 上
9. =?! > = 9.= 9.= > > Η 9 > = 9 > 7 = >!! 7 9 = 9 = Σ >!?? Υ./ 9! = 9 Σ 7 = Σ Σ? Ε Ψ.Γ > > 7? >??? Σ 9
! # %& ( %) & +, + % ) # % % )./ 0 12 12 0 3 4 5 ). 12 0 0 61 2 0 7 / 94 3 : ;< = >?? = Α Β Β Β Β. Β. > 9. Δ Δ. Ε % Α % Φ. Β.,,.. Δ : : 9 % Γ >? %? >? Η Ε Α 9 Η = / : 2Ι 2Ι 2Ι 2Ι. 1 ϑ : Κ Λ Μ 9 : Ν Ο 0
Β Χ Χ Α Β Φ Φ ; < # 9 Φ ; < # < % Γ & (,,,, Η Ι + / > ϑ Κ ( < % & Λ Μ # ΝΟ 3 = Ν3 Ο Μ ΠΟ Θ Ρ Μ 0 Π ( % ; % > 3 Κ ( < % >ϑ Κ ( ; 7
! # % & ( ) +, + )% ). )% / 0 1. 0 3 4 5 6 7 8 7 8 9 : ; < 7 ( % ; =8 9 : ; < ; < > ;, 9 :? 6 ; < 6 5 6 Α Β 5 Δ 5 6 Χ 5 6 5 6 Ε 5 6 Ε 5 5 Β Χ Χ Α Β 7 8 9 Φ 5 6 9 Φ ; < # 9 Φ ; < # 7 8 5 5 < % Γ & (,,,,
: Π Δ 9 Δ 9 Δ 9 7 Θ Μ 9 8 Ρ Σ # = Μ 0 ; 9 < = 5 Λ 6 # = = # Μ Μ 7 Τ Μ = < Μ Μ Ο = Ρ # Ο Ο Ο! Ο 5 6 ;9 5 5Μ Ο 6
! # % # & ( ) +, #,. # / 0. 0 2 3 4! 5 6 5 6 7 8 5 6 5 6 8 9 : # ; 9 < = 8 = > 5 0? 0 Α 6 Β 7 5ΧΔ ΕΦ 9Γ 6 Η 5+3? 3Ι 3 ϑ 3 6 ΗΚ Η Λ!Κ Η7 Μ ΒΜ 7 Ν!! Ο 8 8 5 9 6 : Π 5 6 8 9 9 5 6 Δ 9 Δ 9 Δ 9 7 Θ Μ 9 8 Ρ
