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Technische Universität München
Measuring Nuclear Reaction Rates One Step at a Time
Shawn Bishop, TUM
Erice School, 2010 1
Novae Reaction Rates and
Measurements
Nova Cygni Nova T Pyxidis
Technische Universität München
Talk Outline
• Astrophysics Primer– Experimental nuclear astrophysics
– The novae phenomenon
– Reaction Rates & Measurements
• Facilities at MLL– Mapping Explosive Rates: Q3D Spectrometer
– Doppler Lifetime Station
• Search for Supernova Signal in the Fossil Record– Intersection of astrophysics, nuclear physics techniques,
geophysics & microbiology
• Summary
Erice School, 2010 2
Technische Universität München
ASTROPHYSICS PRIMER
We are star-stuff. -- Carl Sagan
3Erice School, 2010
Technische Universität München
Red Giant Companion
Transfer of H+He-rich (or solar-like) material
WD
4Erice School, 2010
Technische Universität München
24Mg
ONe-Nova Burning Cycles
Erice School, 2010 5
20Ne 21Ne 22Ne
21Na 22Na 23Na
22Mg 23Mg32S 33S 34S
33Cl 34Cl 35Cl
34Ar 35Ar 36Ar
25Al
Y
Technische Universität München
Main Sequence Companion or AGB
Transfer of H+He-rich (or solar-like) material
WD
6Erice School, 2010
COMPTEL Observation
A. Iyudin et al.
2.5s
Q = 78 keV
4.14s
1.18s
845ms
298ms
2.6s All Roads lead to Romeat 32S
2.5min
What happens here?
94.44%5.56%
34Ar
34ClT1/2=1.5s
T1/2=32min
Isomeric Bypass
Qp
34ClT1/2=1.5s
T1/2=32min
Isomeric Feeding
Qp
, 42%
= 2.128 MeV
S34
9
Technische Universität München
34mCl: A Thermonuclear Thermometer
• 3+ isomeric state gives rise to 2.12 MeV -line ¼ 42% per decay
• Connected directly to ground by
M3 transition (45.6% of the time)
• Radiation field can also connect
isomeric state to ground state by
induced transitions into higher
states
– If this is large enough, lifetime will
be reduced from 32 min.
• System of coupled differential
equations has been solved
Erice School, 2010 11
Whoa…huge lifetime
reduction!
34S
34S*
55.4%0
146
461
666
1230
0+
3+
1+
2+
1+
Exp’t
S.M.
32 min
2.2 s
5.2 ps
9.1 ps
13.7 ps
Coc et al., PRC61 (1999)
34Cl
Technische Universität München
Some Key Nuclear Reactions
• 34mCl is a “last chance” -emitter for novae
nucleosynthesis– Bypassed: 33Cl(p,)34Ar
– Produced: 33S(p,)34mCl
– Destroyed: 34mCl(p,)35Ar
• Excited states need to be “mapped out”– Energy, width, branching ratio, spin
• Equipment and Instruments– Q3D spectrometer
– 95% hpGe detector (Canberra)
– Si-detector charged particle telescopes (Micron UK)
Erice School, 2010 12
Technische Universität München
X(p,)Y
Y
ExJp
Q-value
What Needs to be Measured to Determine the Rates
• Rates in explosive h-burning dominated
by resonant proton-capture into excited
states
• Properties of these states uniquely
determine explosive X(p,)Y reaction
rates
• Nuclear properties required:
– Spin
– Excitation energy
– Lifetime
– Proton and/or partial decay-widths
• Goal: Build facilities at MLL to
accomplish these
Erice School, 2010 13
Ga
mo
w
Win
do
w
Technische Universität München
X(p,)Y Resonant Reaction Rate
µ - reduced mass
Ji,Jp,JX – Spins of: resonance state/
projectile/ target
T – temperature
Ei – energy of state relative to Q
Γp, Γγ – partial width of p- / γ- decay
Bp = Γp/ Γ – branching ratioresonance strength
Key
quantity
14Erice School, 2010
X(p,)Y
-value
Y
Technische Universität München
FACILITIES
Measuring Astrophysical Rates one Step at a Time
Erice School, 2010 15
Technische Universität München
• 14 MV Terminal voltage
• Pulsed beam
– 200 ns between pulses
– Pulse width ~ 1 ns
• Cesium sputtering ion source
– Negative ion beams
– No Nobel gas ion beams
(except 3,4He)
• Isobaric separation at
bending magnet
MLL Overview
Erice School, 2010 16
Technische Universität München
Accelerator Laboratory: Overview
Erice School, 2010 17
Doppler Shift
Lifetime Station
AMS
Q3D
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MAPPING EXPLOSIVE
REACTION RATES: THE Q3D
Extracting exp(-Ei/kT)
Erice School, 2010 18
19
Q3D High Resolution Spectrograph at TUM
X(p,)Y
Y
ExJp
Q-value
Used to search for, and study, excited states of nuclei by populating those states using one-step transfer reactions: X(3He,t)Y, as an example
Position of triton along Focal Plane is a measure of the excitation energy.
Momentum resolution:
2.5s
4.14s
1.18s
845ms
298ms
2.6s
2.5min
A Relevant Example: to the 34Cl -ray
Emitter: 33S(p,)34Cl
34Cl excited states populated by33S(p,) can -decay into 34mCl
21
34S(3He,t)34Cl, EHe = 25 MeV, q = 15˚
Erice School, 2010 22
Ex(34Cl)
5576
5143
Parikh et al. PRC (2009)
Technische Universität München
MAPPING EXPLOSIVE
REACTION RATES: THE Q3D
Extracting Bp
Erice School, 2010 23
Technische Universität München
Erice School, 2010 25
Q3DBeam Y*
Y +
Si Detector
X(p,)Y
Y
ExJp
Q-value
Transfer reaction
in inverse kinematics
X + p
• Transfer reaction populates astrophysical state
• Product Y* will either:
• gamma-decay
• proton-decay
• Decay cone for -decay is small
• Detection of Y with Q3D, reconstruct kinematics,
determine fraction of -decays
• Decay cone for proton decay large
• Detect X and p together with Si, determine
proton decay fraction
Technische Universität München
DOPPLER LIFETIME STATION
Extracting the ℏ/t term
Erice School, 2010 26
Technische Universität München
Erice School, 2010 28
Measurement of the Doppler shifted gamma yields velocity distribution of nucleus at instant
of decay.
Decay probability in :
Fraction of N total nuclei that decay with velocity in [(t) cos f, (t + dt) cos f]:
Technische Universität München
Erice School, 2010 29
Velocity distribution formed by an ensemble of N decaying particles:
E.K
.Warb
urte
ne
t al.
Ph
ys. R
ev. 1
60
, 93
8 -
96
3 (1
96
7)
30Turbo Pump
Target ladderStepper Motor
Silicon DE-E telescope
Slider assembly
Target ladder/Target
Copper cold trap
CollimatorLN2 Feedthrough
R = 7 cm
Erice School, 2010
Technische Universität München
Erice School, 2010 31
Target Ladder
DE-E Si Telescope
Collimator Holder
Target Chamber Innards Installation on MLL Beamline
Technische Universität München
Commissioning (two weeks ago)
• Chose the 32S(3He,a)31S reaction– 1st and 2nd excited states previously observed
– Lifetimes known
• Energy spacing large– Gammas easily distinguishable
– Alpha particles well-separated kinematically
• 32S beam energy: 80 MeV
• Target:– Au foil, 15 micron thick
– 1st 0.5 micron implanted with 3He at FZD
• Analysis presently underway
Erice School, 2010 33
Technische Universität München
Particle ID Plot (Uncalibrated)
Erice School, 2010 34
E
DE
p
D
t
Elastic 3He
a
Technische Universität München
Si-Detector (x,y) Hit Pattern (Raw and Uncalibrated)
Erice School, 2010 35
Y
X
Technische Universität München
ACCELERATOR MASS
SPECTROMETRY
Looking into the Past
Erice School, 2010 36
Technische Universität München
BIOGENIC RECORD OF A
SUPERNOVA?
The dead don’t talk, but perhaps they have left us a message
Erice School, 2010 38
150 My BP
• Miocene extinction event ~2-3 My ago
• Characterized by drop in molluscs and
gastropods in Florida, Western Atlantic
ocean, Antarctica
• Possible reasons:
– Glacation & Climate cooling
– Rising of Panama isthmus
– Cosmic event – partial marine food chain failure
Erice School, 2010 39
T ~ 2.8 Myr ago
C. Fitoussi et al, PRL 101 (2008)
Technische Universität München
Fe Concentration in Drill Core
Erice School, 2010 41
w = sample mass (~ 5 g)
ms = <sample magnetic moment>(~ 6 Am2)
mrs = saturation magnetization (92 Am2/kg)
Fe concentration:
Primary Fe minerals:
Dispersed magnetite:
Intact M-somes:
Technische Universität München
Atom flux of iron from bacteria growth and sedimentation rate:
Atom flux of 60Fe: ; f60 = 3.8 x 108 atom/cm2 [Knie et al.,
PRL (2004) ]
Ratio of fluxes gives atom ratios:
Amount of drill core: 100 – 200 grams;
approx. 2 – 4 mg magnetite
Estimate of 60Fe in the Magnetofossils
Erice School, 2010 42
t ~ 500 kyr
• Particle Flux of isotope “i” at radius D without decay:
• Cross sectional area of Earth intercepting SN debris:
• This debris deposited on Earth uniformly, over an area of:
Earth: A SN Yield Detector
43
D
Number of atoms “i” deposited in uniform layer on Earth’s surface (now include decay) after a time T since SN occurred:
Ratio of any two radio-nuclides:
Independent of unknown distance D!
Technische Universität München
The Problem of AMS Detection Beyond Iron
Erice School, 2010 44
Iron-group abundance peak
4.5 – 5 order drop in
abundance from Fe-group
Technische Universität München
Could These be the Result of Microbial Activity?
Erice School, 2010 45
External ferrihydrite (rust)
Distinct internal
Fe-rich minerals
Banded Iron
Formation
Technische Universität München
Summary
• Astrophysics program at TUM underway
• Objective: Properties of nuclear states for nova
• Status of program– Q3D spectrograph for measuring/searching out excited states
– Doppler lifetime station commissioning underway
– Arrival of neutron detector in July to extend Doppler station to
transfer reaction channels with neutron ejectiles
• Try to utilize pulsed-beam feature of MLL Tandem
• Another PhD student required (know any candidates?)
• Supernova search in microfossils– Initial phases of project underway (another PhD project)
– Manuscript presently under peer review: Icarus
Erice School, 2010 46
Technische Universität München
Bacteria and Archean Nuclear Reactors
Erice School, 2010 49
• Connected to when bacterial life evolved to cope
with increasingly richer O2 atmosphere
– Ca. 3 Gyr before present
• Erosion carries UO2 to into shallow basins
• Photosynthesis of newly evolving bacteria
produces O2 in shallow water, bringing U6+
into purely dissolved form in water column
• Water motion/currents carry U6+ out of O2-
rich water
– Redox boundary changes U6+ U4+
– U4+ is precipitated out of solution at the oxic-
anoxic boundary
– Highly concentrated in small zone
• Possible source of natural nuclear reactor
– Look for depletions in 235U