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Astroparticles I

O. L. G. Peres1

1Instituto de Fisica Gleb Wataghin UNICAMP

Fifth Class 16 January 2009 XV Jorge André Swieca Summer School-Particles and Fields

Orlando Luis Goulart Peres Astroparticles I Supernova Seminar’s plan

1 Supernova

Orlando Luis Goulart Peres Astroparticles I Supernova Supernova

Supernova: An energetic outburst resulting in the disruption of a

Orlando Luis Goulart Peres Astroparticles I Supernova Supernovae produces γ and neutrinos

99 % of SN energy to neutrinos and < 1% go to photons and kinetic energy.

Orlando Luis Goulart Peres Astroparticles I Supernova Supernovae produces γ and neutrinos

99 % of SN energy to neutrinos and < 1% go to photons and kinetic energy.

Orlando Luis Goulart Peres Astroparticles I Supernova Some facts about supernova

Evolution time scale: ∼ 107 years; Collapse: < second Explosion brightness: ∼ 109 stars ( 1 average ) Typical 2  2   3GN M 53 M 10km values: Eb ∼ ∼ 1.6 10 ergs . 5R M R Density range: 10−8 < ρ < 1014 g/cm3. High Energy Cosmic Ray Injection in Intergalactic Medium

Orlando Luis Goulart Peres Astroparticles I Supernova Some facts about supernova

Evolution time scale: ∼ 107 years; Collapse: < second Explosion brightness: ∼ 109 stars ( 1 average galaxy) Typical 2  2   3GN M 53 M 10km values: Eb ∼ ∼ 1.6 10 ergs . 5R M R Density range: 10−8 < ρ < 1014 g/cm3. High Energy Cosmic Ray Injection in Intergalactic Medium

Orlando Luis Goulart Peres Astroparticles I Supernova Some facts about supernova

Evolution time scale: ∼ 107 years; Collapse: < second Explosion brightness: ∼ 109 stars ( 1 average galaxy) Typical 2  2   3GN M 53 M 10km values: Eb ∼ ∼ 1.6 10 ergs . 5R M R Density range: 10−8 < ρ < 1014 g/cm3. High Energy Cosmic Ray Injection in Intergalactic Medium

Orlando Luis Goulart Peres Astroparticles I Supernova Some facts about supernova

Evolution time scale: ∼ 107 years; Collapse: < second Explosion brightness: ∼ 109 stars ( 1 average galaxy) Typical 2  2   3GN M 53 M 10km values: Eb ∼ ∼ 1.6 10 ergs . 5R M R Density range: 10−8 < ρ < 1014 g/cm3. High Energy Cosmic Ray Injection in Intergalactic Medium

Orlando Luis Goulart Peres Astroparticles I Supernova Known Supernova

Supernova Name Distance (kpc) SN 1006 3,3 SN 1054 Crab 2,0 SN 1181 3C58 8 SN 1572 5 SN 1604 Kepler 7 SN 1680 Cas A 2,8

Orlando Luis Goulart Peres Astroparticles I Supernova How often does a galactic core collapse occur

Estimatives vary for the mean interval in yr Core collapse All SNae Visible SNae in history 30-60 Extragalactic SNae 35-60 30-50 γ ray remnants 16-25 Radio remnants < 18 − 42 Pulsars 4-120 Iron abundance > 19 >16 Stellar death rates 20-125 Overal can expect 3 ± 1 per century.

Orlando Luis Goulart Peres Astroparticles I Supernova SN1987A

In 1987A was seen the light from supernova explosion. At this time there was a experiment Kamiokande that measured the rate. The measured total energy and duration was in agreement with expectations. Totsuka, chairman of experiment win the NobeL Prize.

Orlando Luis Goulart Peres Astroparticles I Supernova Evolution of supernova

Orlando Luis Goulart Peres Astroparticles I Supernova Neutrino trapping

In the innermost region we have ρ ∼ 6 × 1011 g/cm3, that correspond for a typical neutrino cross section to a mean free path of 1 km.

Orlando Luis Goulart Peres Astroparticles I have the highSupernova densities where neutrinos can cross. Density of supernova

Orlando Luis Goulart Peres Astroparticles I Supernova Spectrum for supernova

For stars with masses between 8 < M < 70M we have a

spectrum like

Orlando Luis Goulart Peres Astroparticles I Supernova Neutrino Spectrum

From simulation (Woosley and Janka, ), predicted a quasi-thermal spectrum −η dN (E) (ρ )ρw   E  w e−(E/Ew )(ρw ) ρw = w dE Γ(ρw ) Ew Ew

where Ew are the different temperatures.

Eνe ∼ 9 − 16 MeV Eν¯e ∼ 12 − 18 MeV

Eνµντ ∼ 15 − 22 MeV ρw ∼ 4 , ..., 5 and ηw = 1 + ρw . Large variation: different simulations did not agree and most of simulations cannot explode a supernova

Orlando Luis Goulart Peres Astroparticles I Supernova Rates for supernova formation

The rate of supernovas change along the time. We have few information about direct supernova rate.

Orlando Luis Goulart Peres Astroparticles I Supernova Relic supernova

The rate of supernovas that explode in the past is called diffuse neutrinos from relic supernova. Due the universe behaviour the spectrum of neutrinos in this ways it is redshifted.

Orlando Luis Goulart Peres Astroparticles I Supernova History of supernova

TIME AXIS

TODAY Physics involved z=0

1. Neutrino spectrum from each supernova

2. Neutrino oscillation during propagation ν inside SN envelope ν ν ν 3. Supernova rate formation z=1

ν

z=5

Orlando Luis Goulart Peres Astroparticles I Supernova Past supernova rate

We need to compute

dφ R dz P dNρw (E(1 + z)) ∼ RSN (z) Pxe(E, z) p 3 x 0 dE Ωm(1 + z) + ΩΛ dE

where E’=E(1+z), H0 = 70 Km/(s*Mpc), Ωm = 0.3, ΩΛ = 0.7 RSN (z) is the past supernova rate. Pxe(E, z)(z) is the survival probability for the neutrino at redshift z

Orlando Luis Goulart Peres Astroparticles I Supernova Spectrum for relic supernova

Due the Universe expansion the neutrino supernova spectrum

is displaced to lower energies.

Orlando Luis Goulart Peres Astroparticles I

Supernova N Fluxes from past supernovae ¦

10 7 6 Constant SN rate (Totani et al., 1995) 10 Population synthesis (Totani et al., 1996) 5 10 Cosmic gas infall (Malaney, 1997) Cosmic chemical evolution (Hartmann et al, 1997) 10 4 Heavy metal abundance (Kaplinghat et al., 2000) 3 10 LMA neutrino oscillation (Ando et al., 2002) 10 2 -2 -1 10 1 -1 10 -2 10 -3 10 -4 10 Neutrino Flux (cm second MeV ) -5 10 -6 10 -7 10 0 10 20 30 40 50 60 70 80 90 100

Neutrino Energy (MeV)

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Orlando Luis Goulart Peres Astroparticles I

Typical fluxes: 2 - 54 cm−2 s−1 Fluxes used by Super-Kamiokande experiment. Supernova SuperKamiokande as a supernova detector

Orlando Luis Goulart Peres Astroparticles I Supernova

SK limit for ν¯e

+ ν¯e: σ(¯νep → e n) no charge ID

Orlando Luis Goulart Peres Astroparticles I