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Light curves and Spectra. SN Light Curves. A SN shines for different reasons, and different types of SN may only show some of the various mechanisms Some SN classification is done on the basis of the Light curve properties
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Light curves and Spectra Tsinghua Transient Workshop
SN Light Curves • A SN shines for different reasons, and different types of SN may only show some of the various mechanisms • Some SN classification is done on the basis of the Light curve properties • The only phase common to all SNe is the radioactive phase, with 56Ni56Co56Fe Tsinghua Transient Workshop
SN Light Curves Tsinghua Transient Workshop
4 main phases • Shock breakout - star is hot, L~R*, rapid • Recombination phase (H-rich SNe) • envelope recombines, Light emitted: L, t ~ M(env), R(env) • Radioactive heating (long diffusion times) • 56Ni, 56Co decay: ’s, deposition, optical photons L ~ M(56Ni), M*, ; t ~ M*, , KE • Radioactive tail (short diffusion times) • 56Co decay: prompt optical photons L ~ M(56Ni); t ~ M*, , KE Tsinghua Transient Workshop
Different types of SNe have different light curves Tsinghua Transient Workshop
Type II SNe 79C: IIL (small H env. - no Rec. Phase) 93J: Ib (very small H env.: He lines) 87A: IIP-pec (BSG prog - small R) 97D: IIP (faint) (large envelope, small KE - long plateau) Tsinghua Transient Workshop
SN 1987A : contributions to the LC Radioactive Heating Shock breakout Radioactive Tail Tsinghua Transient Workshop
Shock breakout • Explosion KE of SN ~ , >> binding En of star Expansion velocity is supersonic: Shock Wave • When this reaches the surface, the star gets hot and bright • Thermal En.: • If (1 ‘foe’), RSG progenitor T~106K • But • Very bright! Tsinghua Transient Workshop
Shock breakout /2 • But this phase is very short-lived (~1day): • Adiabatic cooling: • Radiation dominates: • • Gas cools before it can contribute radiation to the LC Tsinghua Transient Workshop
Adiabatic Cooling • But some luminosity does escape • If no other heating form, • Where • If E(rad) ~ 1/2 E(SN), • Luminosity in this phase Tsinghua Transient Workshop
Recombination Phase • H envelope recombines when T~ 6000 K (T~12000 K for He envelope) • Most opacity in H-rich SNe is Thomson scattering on free electrons • When H recombines, opacity drops • Recombined envelope ~ transparent to photons • Photosphere follows ionization front • Recombination wave moves inwards in vel space • During Recombination phase, both Rph and L ~ constant: PLATEAU • This is only true if H-envelope is massive Tsinghua Transient Workshop
Plateau phase can last for months Tsinghua Transient Workshop
Radioactive heating • Adiabatic and recombination Luminosity only high if R large, E/M large (M small), H-envelope present. • Otherwise, need other source of energy • In SNe, 56Ni is produced: this is radioactive =8.8d =111d 56Ni 56Co 56Fe e+ e+ Tsinghua Transient Workshop
Radioactive decay/2 • Energy produced: • 56Ni: 3.9 1010 erg/s/g • 56Co: 6.8 109 erg/s/g • ~96% of energy carried by ’s, rest by e+ • ’s are efficiently trapped: k ~ 0.3 cm2/g • Thermalisation to optical photons • Optical photons must random-walk their way out in a large optical depth environment: kopt~0.1cm2/g Tsinghua Transient Workshop
Radioactive part of LC • When photons escape SN becomes bright • But the SN ejecta expand: density decreases and so does opacity • Basic property: Maximum light occurs when heating = cooling (Arnett’s Rule) • L(Max) M(56Ni) • Radioactive heating dominates LC if R* small, no H-envelope: Type I SNe (also SN1987A after shock breakout) Tsinghua Transient Workshop
Radioactive Tail • At late times, opt<1, <1 • Only e+ deposit: ke+ ~ 7cm2/g, e+>>1 • LC follows 56Co decay rate (optical photons immediately emitted) • m = 0.98 mag/100d Tsinghua Transient Workshop
Radioactive Tail/2 • If envelope not massive, eventually even e+ may not fully deposit, and LC will decline faster Tsinghua Transient Workshop
Radioactive Tail/3 • For massive envelope (eg SN1987A) 56Co decay effective for a long time (2-3 yr), then other radioactive species with long decay times (eg 44Ti, 57Co) take over Tsinghua Transient Workshop
SN Light Curves Peak Lum: 56Ni Plateau: H-envelope, R* (SNe IIL: small H-envelope SN 1987A: small R*) Tail: 56Ni, M, E Tsinghua Transient Workshop
SN Spectra • Formation, Observables Tsinghua Transient Workshop
Homologous expansion (v ≈ R) Ejecta are dense “Photospheric Epoch” Early-time spectrum absorption continuum τ=1 Tsinghua Transient Workshop
Early-time spectrum • Ejecta are dense pseudo-photosphere • Lines have P-Cygni profiles with But velocities are high: many lines overlap: “Line Blanketing” Tsinghua Transient Workshop
Montecarlo approach • SN envelope expands like Hubble flow: • Photons continously redshifted • They can only interact with the next red line • Easy to treat in MC Tsinghua Transient Workshop
Montecarlo spectra • Treatment of ionization/excitation includes approximate NLTE (nebular approx.) • Excited states • Ground/metastable states: LTE • Ionization: modified Saha Tsinghua Transient Workshop
Photon Travel in Montecarlo scheme Abbott & Lucy 1985 Tsinghua Transient Workshop
Treatment of Opacities in MC Mazzali & Lucy 1993 Tsinghua Transient Workshop
Photon Branching in MC Mazzali 2000 Tsinghua Transient Workshop
The effect of Photon Branching Mazzali 2000 Tsinghua Transient Workshop
Testing different distances Tsinghua Transient Workshop
Testing different risetimes Tsinghua Transient Workshop
Late-time spectra Spectrum: no continuum. Emission line profiles depend on velocity, abundance distribution. Homologous expansion, homogenous density and abundance: parabolic profiles Ejecta are thin: “Nebular Epoch” Gas heated by deposition of γ’s and cooled by forbidden line emission τ < 1 Tsinghua Transient Workshop
Late-time spectra • Solve gamma-ray deposition, NLTE equations for state of gas • Emission in mostly forbidden lines Tsinghua Transient Workshop
Supernova Classification Maximum light spectra H / no H SNe II SNe I | | Light Curve shape Si / no Si SNe IIL SNe IIP SNe IaHe / no He SNe Ib SNe Ic Tsinghua Transient Workshop
Spectral Classification Tsinghua Transient Workshop
Supernova Classification Late-time spectra (6mo-1yr) H / no H SNe II SNe I | | O, H Fe, no O / O SNe IaSNe Ib/c Tsinghua Transient Workshop
Properties of SNe Tsinghua Transient Workshop
SNe II H Ca II H lines dominate at all times Tsinghua Transient Workshop
Properties of SNe from spectra: SNe II Tsinghua Transient Workshop
Properties of SNe from spectra: SNe II Tsinghua Transient Workshop
SNe II: spectral evolution reflects structure of massive star Early times: outer layers visible Late times: inner part exposed Tsinghua Transient Workshop
SN1987A - confirmation of core collapse • Core-collapse of massive star • Catalogued star SK-69 202 • M=17M • Teff=17000 • Log L/ L = 5.0 • Star has disappeared • Neutrinos confirm neutron star formation • No pulsar or neutron star yet seen Tsinghua Transient Workshop
Red supergiant progenitor - SN2003gd SN1987A progenitor was a blue supergiant. Progenitor detection difficult. Only one example of a red supergiant of a normal Type II supernova Tsinghua Transient Workshop
SNe IIL: small H-envelope These are rare events, showing a rapid (Linear) decline with no plateau: e.g. SN1980K Tsinghua Transient Workshop
SNe IIL: small H-envelope Spectra show weak absorptions, often emission lines, indicative of interaction with surrounding CSM gas Early time: small H-envelope + CSM Late time: core CSM Tsinghua Transient Workshop
SNe IIn: extreme case of interaction Similar to IIL: early signs of interaction, but interaction luminosity sustains LC for a long time: e.g. SN1995G These can be among the brightest SNe Tsinghua Transient Workshop
SNe IIn spectra Dominated by interaction: narrow H lines indicate massive CSM Tsinghua Transient Workshop
SNe IIn spectra Dominated by interaction: massive CSM Tsinghua Transient Workshop
SNe IIn: massive H-envelope Star collapsed while H-envelope was being shedded, SN strongly interacts with surrounding CSM gas Early time: small H-envelope + CSM Late time: core CSM Tsinghua Transient Workshop
SNe IIn: ejecta-CSM interaction Two shock are launched at the contact discontinuity Tsinghua Transient Workshop