the fourth fundamental science with pulsed power ...€¦ · the fourth fundamental science with...
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TheFourthFundamentalSciencewithPulsedPower
AlbuquerqueNM,July20-22,2015ProgressReport:
AstrophysicalOpaciGesandAbundancesAnilPradhan
SultanaNahar,ChrisOrban,MarcPinsonneault,
FranckDelahaye(Meudon),JimBailey(SNL)
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WhyMorePreciseOpaci0es?• FundamentalProblems:Astro/Atomic/PlasmaàSolarAbundances:C,N,O,Nelowerby~50%àHelioseismology:SolaroscillaGons,soundspeed,boundaryofconv/radzonesàAsteroseismology:Exo-planethoststars!Atomic/PlasmaPhysicsàResonancesandlines-Missingphysicsofresonances(Nahar’stalk)Quasi-BoundstatestreatedaslinesinopaciGescalculaGons:Doesthatleadto“missing”opacity?-Plasmabroadeningofautoioninzingresonances-EquaGon-of-State(RegnerTrampedach)
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StellarRadiaGonTransportandOpaciGes
• Convection / Radiation Zones boundary R(BCZ) is highly sensitive to opacity: • Measured à 0.713 +/- 0.001 Theory à 0.726 * R(Sun) • Helioseismology can reveal differences at < 1% • KEPLER: Astroseismology solar-type stars’ mass-radius (with earth-like planets)
Opacities depend on (i) Element abundances : Hydrogen to Nickel (ii) Equation-of-state, (iii) Atomic physics: H – Ni All elements, all ions, all transitions
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StellarAbudances,Opacity,andSeismology• WhatistheSunmadeof??• LatestdeterminaGonofsolarabundances(Asplundet.al.2009)àSpectroscopicmeasurementsand3DhydroNLTEmodels
!30-50%lowerabundancesofC,N,O,Ne,…..àSpectroscopyvs.stellarmodels(Asplund,Pinsonneault)
• AbundancesandHelioseismology(soundspeed,BCZ,etc.)!NeedopaciGeshigher~30%(Christensen-Dalsgaardetal.2009)!InverserelaGonbetweenopacityandabundance
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From C Blancard, P. Cossé and G. Faussurier, ApJ 745, 10, 2012
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OpacityProblem• Twoindependentopacityprojects-TheOpacityProject(OP)(Firstpaper:Seaton,Yu,Mihalas,Pradhan1994)ElectronicdatabaseOhioSupercomputerCenter:OPSERVERhfp://opaciGes.osc.edu(Lastpaper:Mendozaetal.2007)
-TheLLNLOPALProject(RogersandIglesias1994)-Agreeto<5%inRosselandmeanopaciGes• Otheropaci0escodes(atLULI,LANL,SNLetc.)alsolargelyagreewithoneanother,butdifferencesupto25%ormore
• Detailedtheore0calopacityspectradiffergreatly• Mainproblem:Modelsdisagreewithexperiment!!
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Z-Opacity vs. Models (Bailey et al., Nature 2015)
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AreexisiGngopaciGesaccurate?• Laboratorytests(Baileyetal.)• UncertaintyinheavyelementopaciGesWhatmightbetheproblem?• AllopaciGescodesemploythesamebasicatomicphysics:similaratomicstructurecodes
• MostresonantexcitaGonstreatedaslines• OpacityProject(OP):OriginalIntent–Includeresonancesinthebound-free(Ergo:lessbound-boundopacity)
• R-Matrixcodesextended/modified• ButowingtocomputaGonalconstraints,OPcalculaGonsincludedonlysomeouter-shellresonances,
andnoinner-shellexcitaGonresonances!
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Bound-freeopacity:PhotoionizaGoncrosssecGonswithResonances
Inner-shell opacity dominated by resonances new Iron Project Relativistic R-Matrix
Earlier OP calculations Included limited outer-shell resonances
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AtomicPhysicsofOpaciGes• MuchoftheopacityisthroughphotoabsorpGonbyinner-shellelectronsinheavyions
• Inner-shellexcita0onleadstoresonancesinthebound-freecon0nuum
BUT• Theseexcita0onsarecurrentlytreatedasbound-boundtransi0ons(lines)• Arethetwoequivalent?
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Resonances:BoundandconGnuumstates(CoupledwavefuncGons)
∑∫
→><→ ΨΨΨ 2|||||| iji D
→>ΨΨ<→ ∑∑ 2||||||i
ij
j D∑Ψi
i
Uncoupled bound states
Coupled bound and continuum states (channels) Autoionization
Symmetric line profile
Asymmetric resonance profile Coupled channel approximation
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ConsequencesofResonancesinOpaciGes• Owingtoquantuminterferenceinthebound-free:channelcouplingàautoionizaGon
• Intrinsicallyasymmetricresonanceprofiles• GiantPECresonances!Mostoftheopacitymaylieinthebound-free
• Monochroma0copaci0esenergydistribu0onfundamentallydifferentfromlines
• Resonancesarebroadened,smearedandwipedoutmorerapidlythanlines
• ConGnuumloweringofopacitybelowallthresholdsineachion
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Giant Photoexcitation-of-Core (PEC) Resonances In Photoionization Cross Sections
Distribution of absorption oscillator strength varies asymmetrically by orders of magnitude across the PEC resonance profile(s)
Background σ~E-3
Peaks
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PlasmaBroadeningofAutoionizingResonances
• Noanaly0ctheoryorcomputa0onalmethod• R-matrixphotoioniza0oncrosssec0onsincludeautoioniza0onbroadeningabini&o
• Notreatmentavailablefor-Electronimpact-Stark-Doppler(thermal)(LorentzianandGaussianprofiles)• Newalgorithmforelectronimpactbroadening
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ResonanceBroadeningProcesses
• AutoionizaGonàR-Matrix(abini&o)• T,Nedependentprocesses:• ElectronimpactàConvoluGon(Lorentzian)• StarkàSimplified(Dimitrijevic&Konjevic)• ThermalàDoppler(Gaussian)• DebyeàLengthvs.ν -Inter-parGcledistancevs.effecGveq.n.ofresonance -T=106K,Ne=1023/cm3àRD=4.13ao,ν = 8.6
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Electron Impact Broadening of Autoionizing Resonances Log T = 6.0, Log Ne = 20.0
0.13 keV 1.2 keV
Log ao2
Unbroadened
Broadened
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ElectronImpactResonanceBroadeningLogT=6.0,LogNe=21.0
Log (ao2)
Photon Energy (keV)
Broadened
Unbroadened
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Electron Impact Broadening of Autoionizing Resonances Log T = 6.3, Log Ne = 22.0
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Electron Impact Broadening of Autoionizing Resonances Log T = 6.0, Log Ne = 22.0
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Electron Impact Broadening of Autoionizing Resonances Log T = 6.3, Log Ne = 23.0
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High-PrecisionOpaciGes(HIPOP)CodesandAtomicData
ISSUES• Linesandresonances• Large-scaleatomiccomputaGons• Resonancebroadening(vs.linebroadening)• EquaGon-of-stateathigh-temperature-density
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Breit-PauliR-MatrixOpaci0es(withfinestructureresonances,Naharetal.2011)
• Monochromatic opacity Fe XVII, 2.25 MK, 1023 cc • Rosseland Mean with more extensive resonances is 12% higher • BCZ: Iron opacity Fe XV-XX in progress
Monochromatic Opacity Ion Fractions
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OpaciGesWorkStatus• ExtendedOPopacitytablesforastroelements• NewOpacityProject(OP)High-Precisioncodes(HIPOP)• IronOpacityProject:NewIronatomicdataandàRelaGvisGcBreit-PauliR-Matrix(BPRM)àAbiniGotreatmentoffinestructureàAutoionizaGonresonanceprofilesdelineatedàResonancebroadeningmodeling(notVoigtlineprofiles)àOrderofmagnitudemorecomputaGonaleffortthanOPàFiner(T,Ne)and105photonfrequencies(OP,OPAL:104)
• PublicaGons
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ExtendedOPTables:AstroElements
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Monochromatic Iron Opacity at Extended (T, Ne) Mesh
High Res. Extended
OPCD
OPCD
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NIF–ImplosionPlasmaOpacity
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ConclusionandWorkinProgress• IronOpacityProject:Newabini&ocalculaGons--Missingresonantopacity(Nahar’stalk)--Resonancebroadeningvs.linebroadening• ComparewithZ-pinchandotherlabsources• Higher-Zelementsandfutureexperiments