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Astrophysical, observational and nuclear-physics aspects of r-process nucleosynthesis. Part II. T 1/2. s n g. S n. P n. . Karl-Ludwig Kratz. Sinaia, 2012. Summary “waiting-point” model. To recapitulate…. seed Fe (implies secondary process). superposition of n n -components.
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Astrophysical, observational and nuclear-physics aspects of r-process nucleosynthesis Part II T1/2 sng Sn Pn Karl-Ludwig Kratz Sinaia, 2012
Summary “waiting-point” model To recapitulate… seed Fe (implies secondary process) superposition of nn-components …largely site-independent! T9 and nn constant; instantaneous freezeout Importance of nuclear-structure input ! “weak” r-process (later secondary process; explosive shell burning?) “main” r-process (early primary process; SN-II?) Kratz et al., Ap.J. 662 (2007)
Second part Now… from historical, site-independent “waiting-point” approaches to more recent core-collapse SN nucleosynthesis calculations
r-Process calculations with MHD-SN models 2012 … new “hot r-process topic” magnetohydrodynamic SNe … but, nothing learnt about nuclear-physics input ??? Phys.Rev. C85 (2012) “We investigate the effect of newly measured ß-decayhalf-lives on r-process nucleosynthesis. We adopt … a magnetohydrodynamic supernova explosion model… The (T1/2) effect slightly alleviates, but does not fullyexplain, the tendency of r-process models to underpro-duce isotopes with A = 110 – 120…” In both cases FRDM masses have been usedpartly misleading conclusions Ap.J. Letter 750 (2012) “We examine magnetohydrodynamically driven SNe as sources of r-process elements in the early Galaxy… … the formation of bipolar jets could naturally providea site for the strong r-process…”
The high-entropy / neutrino-driven wind model Nevertheless, cc-SN “HEW”…still one of the presently favoured scenarios for a rapid neutron-capture nucleosynthesis process The neutrino-driven wind starts from the surface of the proto-neutron starwith a flux of neutrons and protons. As the nucleons cool (≈10 ≥ T9 ≥ 6), they combine to α-particles + an excess of unbound neutrons. Further cooling (6 ≥ T9 ≥ 3) leads to the formation of a few Fe-group "seed"nuclei in the so-called α-rich freezeout. Still further cooling (3 ≥ T9 ≥ 1) leads to neutron captures on this seed compo- sition, making the heavy r-process nuclei. (Woosley & Janka, Nature, 2005)
The Basel – Mainz HEW model full dynamical network(extension of Basel model) • time evolution of temperature, matter density and neutron density • extended freezeout phase • “best” nuclear-physics input(Mainz, LANL, Basel) • nuclear masses • β-decay properties • n-capture rates • fission properties Threemain parameters: electron abundanceYe= Yp = 1 – Yn radiation entropy S ~ T³/r expansion speed vexp durations taand tr (Farouqi, PhD Mainz 2005)
First results of dynamical r-process calculations • Conditions for successful r-process • „strength“ formula • Neutron-rich r-process seed beyond N=50 (94Kr, 100Sr, 95Rb…) • avoids first bottle-neck in classical model • Initial r-process path at particle freezeout (T9 3) • Yn/Yseed ≤ 150 • Total process duration up to Th, U • τr ≤ 750 ms • instead of 3500 ms in classical model • Due to improved nuclear-physics input (e.g. N=82 shell quenching!) • max. S 280 • to form full 3rd peak and Th, U • Freezeout effects (late non-equilibrium phase) • capture of “free” neutrons • recapture of bdn-neutrons parameters correlated
Formation of r-process “seed” temperature Time evolution of temperature and density of HEW bubble (Vexp=10,000 km/s) extended “freeze-out” phase! density Recombination of protons and neutrons into α-particles as functions of temperature and time For T9 ≤ 7 α dominate; at T9 ≈ 5 p disappear, n survive, “seed“ nuclei emerge. α n p seed (Farouqi et al., 2009)
Distribution of seed nuclei effect of different expansion velocities of the hot bubble, Vexp distributions are robust ! effect of different electron abundances, Ye distributions show differences, mainly for A > 100 Main seed abundances at A > 80 lie beyond N = 50 !
Parameters HEW model Y(Z) Ye=0.45 α n No neutrons no n-capture r-process! seed Nucleosynthesis components: S ≤ 100; Yn/Yseed < 1 charged-particle process 100 < S < 150; 1 < Yn/Yseed< 15 “weak” r-process 150 < S < 300; 15 < Yn/Yseed< 150 “main” r-process
Synthesizing the A=130 and A=195 peaks S=196 S=261 Process duration: 146 ms Process duration: 327 ms not yet enough Pb Abundance Y Th U full Nr, distribution superposition of “weighted” S-components
Process duration [ms] Entropy S FRDMETFSI-Q Remarks • 54 57 A≈115 region • 209 116 top of A≈130 peak • 422 233 REE pygmy peak • 691339top of A≈195 peak • 1290 483 Th, U • 2280 710 fission recycling • 300 4310 1395 “ “ significant effect of “shell-quenching” below doubly-magic 132Sn Reproduction of Nr, Superposition of S-components with Ye=0.45; weightingaccording to Yseed T T T T T T T T No exponential fit to Nr, !
r-Process robustness due to neutron shell closures Width of A=130 and 195 peaks ca. 15 m.u.; width of REE pygmy peak ca. 50 m.u.; Widths of all three peaks (A=130, REE and A=195) DS40 kB/Baryon Kratz, Farouqi, Ostrowski (2007)
Freezeout at A ≈ 130 Validity and duration of (n,g) ↔ (g,n) equilibrium Sn(real) / Sn(n,g ) 1 Validity and duration of β-flow equilibrium λeff(Z) x Y(Z) ≠ 0 freezeout freezeout Local equilibrium “blobs” with Increasing Z, at different times (n, g )-equilibrium valid over 200 ms, independent of Z Definition of different freezeout phases Neutron freezeout at 140 ms, T9 0.8, Yn/Yr = 1 130Pd Chemical freezeout at 200 ms, T9 0.7, Yn/Yr 10-2 130Cd Dynamical freezeout at 450 ms, T9 0.3, Yn/Yr 10-4 130In
Superposition of HEW components 0.450 ≤ Ye ≤ 0.498 “weighting” of r-ejecta according to mass predicted by HEW model: for Ye=0.400 ca. 5x10-4 M for Ye=0.498 ca. 10-6M For Ye≤0.470 full r-process, up to Th, U For Ye0.490 still 3rd peak, but no Th, U For Ye=0.498 still 2nd peak, but no REE „What helps…?“ low Ye, high S, high Vexp Farouqi et al. (2009)
r-Process observables today Solar system isotopic Nr, “residuals” • Observationalinstrumentation • meteoriticandoverallsolar-system • abundances • ground- andsatellite-basedtelescopeslikeImaging Spectrograph (STIS) atHubble, HIRESatKeck, andSUBARU • recent„Himmelsdurchmusterungen“ • HERES and SEGUE T9=1.35; nn=1020 - 1028 Pb,Bi r-process observables Elemental abundances in UMP halo star BD+17°3248 Detection of 33 n-capture elements, the most in any halo star
Observations I: Selected “r-enriched” UMP halo stars Sneden, Cowan & Gallino ARA&A, 2008 Same abundance pattern at the upper end and ??? at the lower end • Two options for HEW-fits to UMP halo-star abundances: • const. Ye = 0.45, optimize S-range; • optimize Ye with corresponding full S-range.
Halo stars vs. HEW-model: Extremes “r-rich” and “r-poor” Elemental abundance ratios UMP halo stars r-rich “Cayrel star” / r-rich “Sneden star” r-poor “Honda star” / r-rich “Sneden star” normalized to Eu g g Eu Eu g g Factor 25 difference for Sr - Zr region !
Extremes “r-rich” and “r-poor”: S-range optimized r-rich “Sneden star” full main r-process 140 ≤ S ≤ 300 Sr – Cd region underabundant by a mean factor ≈ 2 relative to SS-r (assumption by Travaglio et al. that this pattern is unique for all UMP halo stars) “missing” part to SS-r = LEPP 100% Nr,(Eu) r-poor “Honda star” 10 ≤ S ≤ 220 incomplete main r-process 35% Nr,(Eu) Sr – Cd region overabundant by a mean factor ≈ 8relative to SS-r
Halo stars vs. HEW-model: Y/Eu and La/Eu Instead of restriction to a single Ye with different S-ranges, probably more realistic, choice of different Ye’s with corresponding full S-ranges 39Y represents charged-particle component (historical “weak” n-capture r-process) 57La represents“main”r-process Caution! La always 100 % scaled solar; log(La/Eu) trend correlated withsub-solar Eu in “r-poor” stars Clear correlation between “r-enrichment” and Ye (I. Roederer et al., 2010; K. Farouqi et al., 2010)
Observations: Correlation Ge, Zr with r-process? Ap.J., 627 (2005) “Zr abundances also do not vary cleanly with Eu” Zr – Eu correlation solar abundance ratio “Ge abundance seen completely uncorrelated with Eu” Relative abundances [Ge/H] displayed as a function [Fe/H] metallicity for our sample of 11 Galactic halo stars. The arrow represents the derived upper limit for CS 22892-052. The dashed line indicates the solar abundance ratio of these elements: [Ge/H] = [Fe/H], while the solid green line shows the derived correlation [Ge/H]=[Fe/H]= -0.79. A typical error is indicated by the cross. Correlation between the abundance ratios of [Zr/Fe] (obtained exclusivley with HST STIS) and [Eu/Fe]. The dashed line indicates a direct correlation between Zr and Eu abundances. Ge – Eu correlation Can our HEW model explain observations ? “… the Ge abundances… track their Fe abundances very well. An explosive process on iron peak nuclei (e.g. the a-rich freezeout in SNe), rather than neutron capture, appears to have been the dominant mechanism for this element…” Correlation between the abundance ratios [Ge/Fe] and [Eu/Fe]. The dashed line indicates a direct correlation between Ge and Eu abundances. As in the previous Figure, the arrow represents the derived upper limit for CS 22892-052. The solid green line at [Ge/Fe]= -0.79 is a fit to the observed data. A typical error is indicated by the cross. Ge okay! 100% CPR Zr two components?
Relative elementalabundances, Y(Z) From Sr via Pd, Ag to Ba different nucleosynthesis modes HEW with Ye =0.45; vexp =7500 normal α -rich freezeout n-rich α-freezeout CP component uncorrelated weak-r component weakly correlated main-r component strongly correlated with Eu ?
Halo stars vs. HEW model: Sr/Y/Zr as fct. of [Fe/H], [Eu/H] and [Sr/H] –— HEW model (S ≥ 10); Farouqi (2009) – –average halo stars; Mashonkina (2009) Robust Sr/Y/Zr abundance ratios, independent of metallicity, r-enrichment, α-enrichment. Same nucleosynthesis component: CP-process, NOT n-capture r-process Correlation with main r-process (Eu) ?
SS Halo stars vs. HEW model: Zr/Fe/Eu vs. [Eu/Fe], [Fe/H] and [Eu/H] Cowan et al. (2005) Zr in r-poor stars overabundant type “Honda star” Zr in halo & r-rich stars underabundant type “Sneden star” Zr – Eu correlation Strong Zr – Eucorrelation SS diagonal Halo, r-rich and r-poor stars are clearly separated! r-poor HEW (av.) r-rich different r- enrichment similar metallicity Mashonkina (2009); Farouqi (2009)
Relative elementalabundances, Y(Z) From Sr via Pd, Ag to Ba different nucleosynthesis modes HEW with Ye =0.45; vexp =7500 normal α -rich freezeout n-rich α-freezeout CP component uncorrelated weak-r component weakly correlated main-r component strongly correlated with Eu ?
Halo stars vs. HEW-model predictions: Pd Pd/Sr and Pd/Eu different from Sr/Y/Zr average Halo stars -1.5 < [Eu/H] < -0.6 log(Pd/Sr) - 0.95(0.09) Pd relation to CP-element Sr HEW model log(Pd/Sr) = - 0.81 (“r-rich”) - 1.16(“r-poor”) average Halo stars -1.5 < [Eu/H] < -0.6 log(Pd/Eu) +0.81(0.07) HEW model log(Pd/Eu) = +1.25 (Pd CP+r) +0.89(“r-rich”) +1.45 (”r-poor”) Pd relation to r-element Eu r-poor stars ([Eu/H] < -3) indicate TWO nucleosynthesis components for 46Pd: Pd/Sr uncorrelated, Pd/Eu (weakly) correlated with “main” r-process
Observations of Pd & Ag in giant and dwarf stars anticorrelation between Ag and Sr anticorrelation between Ag and Eu indication of different production processes (Sr – charged-particle, Ag – weak-r, Eu – main r-process) Pd and Ag are produced in the same process (predominantly) weak r-process All observationsin agreement with our HEW predictions! correlation of Pd and Ag C. Hansen et al.; A&A in print (2012)
Observations: [Ag/Fe] vs. [Eu/Fe] Selection of pure r-process stars; no measurable s-process “contamination” CS31082 CS22892 BD+17°3248 HD221170 HD108577 HD186478 HD88609 HD122563 “r-poor” “r-rich”
SAGA data base: [X/Fe] vs. [Eu/Fe] (I) Transition from CP-component to “weak” n-capture r-process Zn Sr SS SS r-poor r-rich Zr SS Ag SS
SAGA data base: [X/Fe] vs. [Eu/Fe] (II) Ir Dy SS m1 m1 Th m1 …Th – U – Pb cosmochronology ?!
r-Process observables today The SS A ≈ 130 r-peak • Observationalinstrumentation • meteoriticandoverallsolar-system • abundances • ground- andsatellite-basedtelescopeslikeImaging Spectrograph (STIS) atHubble, HIRESatKeck, andSUBARU • recent„Himmelsdurchmusterungen“ • HERES and SEGUE r-process observables Fromelementalabundancesto isotopic yields …;More sensitive to nuclear physics input, here in the 120 < A < 140 region Xe-H shows strong depletion of lighter isotopes with s-only 128, 130Xe “zero”.
Xe in nanodiamond stardust (I) (U. Ott)
Xe in nanodiamond stardust (II) (U. Ott)
Xe in nanodiamond stardust (III) (U. Ott)
The “neutron-burst“ model (I) The “neutron-burst” model is the favored nucleosynthesis scenario in the cosmochemistry community; so far applied to isotopic abundances of Zr, Mo, Ru, Te, Xe, Ba, Pt Historical basis:…neutron burst in shocked He-rich matter in exploding massive starsfirst ideas by Cameron Howard et al.; Meteoritics 27 (1992) Rauscher et al.; Ap.J. 576 (2002) • Several steps: • start withSOLAR isotope distribution • exposure to weak neutron fluence (t = 0.02 mbarn-1) • mimics weak s-processing during pre-SN phase • s-ashes heated suddenly to T9 = 1.0 by SN shock • expansion and cooling on 10 s hydrodynamical timescale • resulting n-density (from (a,n)-reactions) during burst ≈ 1017 n/cm3 • for ≈ 1 s final n-exposure0.077 mbarn-1 shift of post-processed isotope pattern towards higher A strong time and temperature dependence
The “neutron-burst“ model (II) Howard‘s Xe-H abundances N* are pure, unmixed yields; in addition, arbitrary mix with 5.5 parts Nסּ=> N-H N-H = (N* + 5.5Nסּ)/5.5Nסּ = 1 + 0.182 N*/Nסּ N-H = 1 s-only128,130Xe totally eliminated …however, “there is little physical reason to admix N* with solar abun- dances, other than the tradition of interpreting isotopic anomalies as a binary admixture with SS abundances.“ arbitrary Nסּ-mixing somewhat too strong!
Xe in SN-II Two SN models a) site-independent “waiting-point“ approach b) high-entropy-wind ejecta of core-collapse SN-II • full parameter space in • a) nn-components • b) S-ranges • No reproduction of Xe-H ! • special variants of r-process? • “hot“ • “cold“ r-process • “strong”
The A 130 SS r-abundance peak HEW reproduction of the solar-system A 130 r-abundance peak “cold” r-process Vexp = 20000; S(top) 140 peak top atA 126 “hybrid” r-process Vexp = 7500; S(top) 195 peak top at 128 < A < 130 “hot” r-process Vexp = 1000; S(top) 350 peak top at A 136 Ye = 0.45 as, e.g. in Arcones & Martinez-Pinedo, Phys. Rev. C83 (2011) Nuclear-physics input: ETFSI-Q; updated QRPA(GT+ff); experimental data
Xe-H – HEW “old“ “old“ nuclear physics input e.g. 129Ag T1/2(g.s.) = 46 ms; 130Pd T1/2 = 98 ms; P1-2n = 96 %; 4 % Successive “cuts“ of low-S components exclusion of “weak“ r-process “strong“ r-process !
Surprising b-decay properties of 131Cd Remember: …just ONE neutron outside N=82 magic shell Experiment: T1/2 = 68 ms; Pn = 3.4 % QRPA predictions: T1/2(GT) = 943 ms; Pn(GT)= 99 % T1/2(GT+ff) = 59 ms; Pn(GT+ff)= 14 % Nuclear-structure requests: higher Qβ, lower main-GT, low-lying ff-strength “new” nuclear-physics input for A ≈ 130 peak region
Xe-H – HEW “new“ “new“ nuclear physics input optimized to measured T1/2, Pn and decay schemes of 130Cd and 131Cd e.g. 129Ag stellar-T1/2 = 82 ms; 130Pd T1/2(new/old) ≈ 0.2; P1-2n(new/old) ≈ 0.8; 4.5 • reduction of 129Xe • increase of 136Xe …but, still „cuts“ of low-S region necessary again, exclusion of “weak“ r-process “strong“ r-process ! 129Xe, 131Xe, 134Xe okay;132Xe still factor ≈ 2 too high
Pt-H in nanodiamonds … at the end, an easy case for HEW SN-II “cold“ r-process ! recent AMS measurement by Wallner et al. towards HEW towards Rauscher & Nʘ L'09 …same HEW r-process conditions as Xe-H !
Summary • Still today • there is no selfconsistent hydro-model for SNe, that provides the necessary astrophysical conditions for a full r-process Therefore, • parameterized dynamical studies (like our HEW approach) are still useful to explain r-process observables; • astronomical observations & HEW calculations indicate that SS-r and UMP halo-star abundance distributions are superpositions of 3 nucleosynthesis components: charged-particle, weak-r and main-r • the yields of the CP-component (up to Zr) are largely uncorrelated with the “main” r-process; • the yields of the weak-r component (Mo to Cd) are partly correlated with the “main” r-process; elements ≥ Te belong to the “main” r-process • HEW can explain the peculiar isotopic anomalies in SiC-X grains and nanodiamond stardust
Main collaborators: K. Farouqi (Mainz) B. Pfeiffer (Mainz & Gießen) O. Hallmann (Mainz) U. Ott (Mainz) P. Möller (Los Alamos) F.-K. Thielemann (Basel) W.B. Walters (Maryland) L.I. Mashonkina (RAS, Moscow) C. Sneden & I. Roederer (Austin, Texas) A. Frebel (MIT, Cambridge) N. Christlieb (LSW, Heidelberg) C.J. Hansen (LSW, Heidelberg)
Pn effects at the A≈130 peak • Significant differences • smoothing of odd-even Y(A) • staggering • (2) importance of individual • waiting-point nuclides, • e.g. 127Rh, 130Pd, 133Ag, 136Cd • (3) shift left wing of peak in clear contrast to Arcones & Martinez-PinedoPhys. Rev. C83 (2011)
Halo stars vs. HEW model: “LEPP” elements LEPP-abundances vs. CP- enrichment (Zr) HEW (10 < S < 280) WP (Fe seed; 1020 < nn < 1028) weak-r (Si seed; nn 1018) HEW reproduces high-Z LEPP observations (Sr – Sn); underestimates low-Z LEPP observations (Cu – Ge) additional nucleosynthesis processes ? (e.g. Fröhlich et al. np-process; Pignatari et al. rs-process; El Eid et al. early s-process) (Farouqi, Mashonkina et al. 2008)
Th/U – arobust and reliabler-process chronometer? norm. 13.2 ± 2.8 r-Chronometer age [Gyr] Neutron-density range [n/cm3] Th/U robust – yes reliable – no (not always) Correlate Th, U with other elements, e.g. 3rd peak, Pb !
How about Pb as r-chronometer ? In principle, direct correlation of Pb to Th, U ≈ 85% abundance from α-decay from actinide region Sensitivity to age: Pb 0 Gyr Y(Pb) = 0.375 (Mainz) // Sneden et al. (2008) Y(Pb) = 0.622 ? 5 Gyr 0.433 13 Gyr 0.451 Th,U/Pb 13 Gyr: Th/Pb ≈ 0.048 U/Pb ≈ 0.007 • New HEW results: • agreement Th/U and Th/Pb with NLTE analysis of Frebel-star (HE 1523-0901; [Fe/H] ≈ -3) • consistent picture for Th/Ba – Th/U for 4 “r-rich” halo-stars with Ye≈0.45; • and for the “actinide-boost” Cayrel-star with Ye≈ 0.44.