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Masses and Moments via Precision Atomic Physics Techniques
Georg Bollen
• Rare isotopes – making them
• Atomic approaches to study rare isotopes
• Laser spectroscopy
• Direct mass spectrometry
• Summary
New territory to be
explored with FRIB
Rare Isotope Discoveries to Be Made
about 3000 known
isotopes
, Slide 2G. Bollen, PPPL 2015
Understanding their ground-state properties is important
Masses, radii, spins, moments
N
Z
The Atomic Physics Approach
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 3
Sources of information and
techniques
Complementary
approaches
Moments
Spins
Radii
Laser spectroscopy
Probing of atomic transitions
Nuclear polarization
Nuclear spectroscopy
Elastic and inelastic
reactions
Exotic atoms
Masses Direct mass spectrometry
ion motion in well defined
electromagnetic (or electric) fields
Energy balance of
decays and reactions
Determining ground-state properties with atomic physics techniques
The Atomic Physics Approach
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 4
Direct mass measurements and laser spectroscopy allow to determine fundamental properties of nuclei in ground or long-lived isomeric states: masses, spins, moments and radii
What do we learn?
Masses Nuclear binding energy
Basic test of nuclear models
Nuclear structure: shell closure, pairing, onset of
deformation, drip lines, halos
Test of fundamental interactions
Spins and
Moments
Microscopic nuclear structure: wave functions, coupling of
nucleons, configuration mixing, shell structure
Macroscopic nuclear structure: nuclear deformation
Charge Radii Nuclear structure: nuclear charge distribution,
deformation
Rare Isotope Production
Isotope Separation On-LineISOLDE
ISAC
HRIBFProtons - 1 GeV
High intensities – good quality – element dependent
Fusion evaporation/ fission - IGISOL in-flight separation/stopping
Heavy/light ions
few MeV/u
JYFL
Leuven
GSI/SHIP
ANL/ATLAS
Good intensities in local areas - SHE
Fast beam fragmentation and in-flight separation
Heavy ions
< 2GeV/u
NSCL, GSI
GANIL, RIKEN
FRIB
Universal and fast – far reach -- pure beam quality
GSI/SHIPTRAP
ANL/CPT
LEBIT &
BECOLA/NSCL
Preparing Fast Rare Isotopes for Precision Experiments with Atomic Physics Techniques
Linear gas stopper (heavier ion beams)
Cyclotron gas stopper (lighter ion beams)
Also important for reaccelerating rare isotope beamsG. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 6
Laser spectroscopy of rare isotopes
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 7
Resonant step-wise excitation of one (or more electrons in the electron shell of an atom with laser light of suitable wave length
Transition frequencies are unique fingerprints for elements and isotopes
Varying the laser wave length allows to probe different isotopes and elements – observed transitions and their frequency can provide information on the atomic nucleus.
Probing Nuclear Properties in Atomic Transitions
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 8
Hyperfine Structure
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 9
Splitting of atomic fine structure levels due to coupling of electron spin I and nuclear multipole moments (dipole moment mI, quadrupole moment Q)
Hyperfine constant A
Hyperfine constant B
Access to nuclear parameters I (number
of lines) and mI (size of splitting)
Access to spectroscopic quadrupole
moment nuclear deformation
parameters
Isotopic Shift in Atomic Transitions
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 10
Isotopic Shift = Mass Shift + Field Shift
mass shift = normal mass shift + specific mass shift MA A A A
A AN S, ' '
'
Expl: A=10: 10-5 A=200: 10-7 ; A=1
Field Shift:
due to change of nuclear charge distribution
F
A A A A
F Z r, ' , '
( ) 2
Expl: A=10: 10-7 A=200: 10-5
.... including deformation
r rdef sph
2 2 215
42
r Rsph
2 2 2 1 33 50 0
; R = 1.2 A fm
W. Nörtershäuser and Ch. Geppert, Lecture
Notes in Physics 879 (2014).
Example: Isotopic Shift in the Osmium to Lead Region
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 11
Shape coexistence
Hg (Z=80): • even A: near spherical shape
• odd A <= 185: strong prolate deformation
Au (Z=79)• onset of strong prolate deformation at
A=187
Pt (Z=78): • towards strong prolate deformation via
triaxial shape
prolateoblate triaxial
Laser Spectroscopy
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 12
Laser spectroscopy has been staple at ISOL facilities for many years
• CERN/ISOLDE
• JAEA
• Jyväskylä/IGISOL
• TRIUMF/ISAC
Extension to fast beam facilities
• BECOLA @ NSCL/MSU
Laser Beam
Ion Beam
Deflection
Retardation
ChargeExchange
Excitation and OpticalDetection
Optical Pumping
Deceleration
Charge Exchange Atom Counting
Ion Counting
Differential Pumping
Gas inletV|
Atom Beam
Magnet
Asymmetry Detection
PolarizationN
SCollinear laser spectroscopyCOLLAPS at ISOLDE
V|| V||
Deflection
Collinear Laser SpectroscopyPrinciple
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 13
Frequency tuning by
change of ion velocity
Making atoms
out of ions
Collinear Laser Spectroscopy
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 14
velocity bunching due to constant energy spread
E = [1/2 mv2] = m [vv] = const
v decreases as ion or atom speed v increases
• Thermal motion (energy spread E) leads to Doppler shift
and line broadening (typically a few GHz for atoms from an
oven)
• Accelerating ions (or atoms) to higher velocity and collinear
interaction with laser beam reduces line broadening E = KT
laser system
cooler/buncher
laser injection
collinear laser spectroscopy
radioactive beams
laser/ionbeams
K. Minamisono et al, NIMA 709, 85 (2013), D. M. Rossi et al., RSC 85, 093503 (2014).
offlineion source
BECOLA (shown in this slide)
- existing, available for Day One exp.
- only laser spec. facility for in-flight separation and gas
stopping
- laser spectroscopy on ~ 30 keV beam
- polarized beam available
CRIS (collinear resonant laser ionization spec.)
- future development for 1 ion/s type exp.
- isomerically pure beam may be available
BECOLA facility at NSCL/MSUBEam COoling and LAser spectroscopy
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 15
K. Minamisono et al, Phys. Rev. Lett. 117, 252501 (2016).
Atomic hyperfine structures for 52, 53Fe isotopes
relative to stable 56Fe.
Ca
Fe
The extracted charge radii of 52, 53Fe show characteristic
discontinuity (kink) at N = 28, similar to that for Ca chain.
Steep rise of 52Fe radius is due mainly to deformation effect
Kink at N = 28
Steep rise of52Fe radius
Collinear laser spectroscopy was applied for the first time to beams prepared via an in-flight
separation followed by gas stopping at NSCL/MSU.
BECOLA: Charge radii of neutron-deficient Fe isotopes
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 16P. Mantica, K. Minamisono NSCL
Masses provide key information
Magic Numbers
Evolution of Shell Structure
Halos and Skins
Isospin Symmetry
Pairing
Exotic decays
Fundamental
Interactions
Stability of SHE
+ constraints for nuclear models and mass formulas
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 17
Binding Energies and Nuclear Structure
Loosely bound systems - halos
Evolution of shell structure
H. Savajols et al., Eur. Phys. J. A direct (2005)
Observables
Shell effects
Deformation effects
Pairing
Test of theoretical predictions
r
er
r
)(
nSm
2
1-neutron halo
Sn neutron separation energy
11Li, 14Be, 19C, 22N, …
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 18
Nuclear Synthesis
100 120 140 160 180 200 22010
-4
10-3
10-2
10-1
100
101
Example r-process
ETFSIQ (shell quenching)
ETFSI1 (no shell quenching)
solar
Difference due to shell quenching for neutron-rich
nuclei, or a problem with astrophysical model?
Pfeiffer & Kratz,
Mainz
A
rela
tive a
bundance
Supernova (HST)
Rapid proton capture (rp) process and and the rapid neutron capture (r) process are
the important processes involving rare isotopes.
Masses and half-lives are key data required for their understanding.
R-process abundances
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 19
Standard model tests in super-allowed 0+ 0+ -decays
Conserved-vector-current (CVC) hypothesis:
Vector part of weak interaction not influenced by strong interaction
Theoretical Corrections:
δC – isospin symmetry breaking correction
(Coulomb, strong interaction)
δR – radiative correction (Bremsstrahlung etc.)
)1(2)1)(1(
2 V
RV
CRG
KftFT
22
VV MG
Kft
Quantities to be measured:
branching ratios, half-lives t
Q-values = mass differences f
5Qf
Q
dQ
f
df5
Δ+1=++2
ub
2
us
2
ud VVV
Unitarity of the Cabbibo-Kobayashi-Maskawaquark eigenstates of the weak interaction - mass eigenstates
of the strong interaction
2
A
2
V2
ud =G
GV
m
0+0+ -decay
Pure leptonic m decay
Kaon decay
J. Hardy, I. Towner
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 20
Halos and skins
Pairing
Exotic decays
Element synthesis
via rp process
Element synthesis
via r process
Evolution of
nuclear shell
structure
m/m = 10-7
10-7< m/m < 10-6
m/m < 10-8
m/m = 10-7
Test of Fundamental
Interactions
Masses: What do we know? What do we need?
100 120 140 160 180 200 22010
-4
10-3
10-2
10-1
100
101
10-8
10-7
10-6
10-5
unknown
m/m
Mass Uncertainties
50
50
82
2820
8
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 21
Tools for Mass Measurements on Rare Isotopes
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 22
Time-of-flight spectrometrysingle turn: S800multi turn: storage ring ESR/GSI, RIBF ring/RIKEN,
HIRFL-CSR/IMP
Frequency measurementsstorage ring ESR/GSI,
Penning traps LEBIT/NSCL, ISOLTRAP/ISOLDE, JYFLTRAP/JYFL, CPT/ANL, SHIPTRAP/GSI, TITAN/TRIUMF, TRIGA-TRAP/Mainz
start stop
momentumanalysis p=mv L
B
wc = q/m B
+ Q-values from reactions and decays
Time-of-flight spectrometry 2.0Multireflection time-of-flight MS
ISOLTRAP/CERN, RIBF/RIKEN
Storage Ring Mass Measurements
Uses beams from projectile fragmentation/fission and in-flight separation
About 13% in mass-over-charge range
Nuclei with half-lives as short as 20 msm/q range: 2.4-2.7
0
100
200
300
400
500
600
700
506 506.2 506.4 506.6 506.8 507
106 41+Mo
106 41+Nb
unknown mass
119 46+Ag
119 46+Pd
88 34+Se
132 51+Sb
101 39+Y
114 44+Rh
114 44+Ru
127 49+In
known mass
127 49+Sn
83 32+Ge
96 37+Rb
Experimental Storage Ring at GSI DarmstadtIMS: Time-of-Flight Spectra
Penning Trap Mass Spectrometry Penning Trap Primer
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 25
Uniform Magnetic Field + Quadrupolar Electrostatic Field = Penning Trap
(radial confinement) (axial confinement) (3D confinement)
harmonic
oscillation in
the z-direction“cyclotron
frequency”
Motion of an ion is the superposition of three characteristic harmonic motions:
• reduced cyclotron motion (+)
• magnetron motion (-)
• axial motion (z)
Example ωc:
• Singly charged
• B = 9.4 T
• Mass 100 uωc ~ 9 MHz
Penning traps mass spectrometry
wc = (q/m)B
B = 9.4 T, A = 38, Q=2 c = 8 MHz
Tobs = 125 ms:
width c 1/ Tobs = 8 Hz
Resolving power R = c/ c = 106
1000 detected ions
stat. uncertainty c/ c = 1/ (R N1/2) =
3.10-8
magnetron (-) cyclotron (+)
axial (z)
wc = w+ + w-G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 26
Cyclotron Frequency Measurement
wc = w+ + w- = (q/m)B
Apply quadrupolar RF field: wRF = wc = w+ + w-
Change of radial energy
magnetron (-) cyclotron (+)
axial (z)
G. Bollen et al., J. Appl.Phys. 68 (1990) 4355
M. König et al., Int. J. Mass Spectr. 142 (1995) 95
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 27
Time-of-Flight Cyclotron Resonance Detection
• Capture ion(s)
• Apply RF (Er increases if f = fc)
• Eject ion(s)
• Measure time of flight
cyclotron energy
axial energy
F = -m B/z = -(Er/B0) B/z
B0
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 28
100 MeV/u 1 eV
Gas stoppingIon
detector
Projectile Fragmentation
and In-Flight Separation
Fast
Universal
Chemistry independent
Penning Trap Mass
Spectrometry
High-precision
High Sensitivity
Penning trap mass
spectrometer
LEBIT (Low Energy Beam Ion TRAP)The only Penning trap mass spectrometer at a fast beam facility
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 29
R. Ringle, G. Bollen NSCL
LEBIT at NSCL
60keV rare
isotope
beam
7 T SIPT
magnet
9.4 T LEBIT
magnetRFQ cooler
buncher
MCP in Daly
Configuration
Off-line
Ion sources
Electronic racks
Only Penning trap mass
spectrometer in the world to study
rare isotope produced by
projectile fragmentation
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 30
Mass measurements near the dripline
Superallowed decayQ-value
Neutron shell closure at N=40 near Z=28
Recent LEBIT online Results
72Br : Valverde, et al., PRC 91 037301 (2015)14O : Valverde, et al., PRL 114 232502 (2015)11C : Gulyuz, et al., PRL 116, 012501 (2016)21Na : Eibach, et al., PRC 92, 045502 (2016)68,69Co : under analysis
72m,gBr+, T1/2=1.3 m, 10.6 s
14O+, T1/2=71 sm = 25 eV dm/m = 2·10-9
11C+, T1/2=20 m
243 ions
21Na+, T1/2=22.5 s
T=1/2 mirror decayQ values
-60 -40 -20 0 20 40 60
25
30
35
40
45
50
55
Me
an
Tim
e o
f F
ligh
t [u
s]
vrf - 4232480 [Hz]
68Co+2, T1/2=1.3 s
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 31
ground state
isomer
Pushing the Sensitivity LimitTowards mass measurements with one single rare isotope ion
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 32
• Synthesis of elements• Doubly magic nuclei and
their vicinity
• 78Ni & 100Sn and neighboring isotopes• important for nuclear structure
studies and nuclear model tests• Mass measurements are challenging
due to low production rates• Production at NSCL: 1-3 per day
Single Ion Trap Project at LEBIT/NSCL
Weak
Signal~fA
FFT
I
Narrowband Fourier Transform – Ion Cyclotron Resonance (FT-ICR) to enable
high-precision mass measurements of rare isotopes produced at low rates
Traditional Time-Of-Flight Ion Cyclotron Resonance (TOF-ICR) technique requires
~ 100 detected ions to obtain a resonance curve
Amplify and
supress noiseAnalyze Get ion frequency
4K
Detection of a Single Rare Isotope
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 33
The Single Ion Penning TrapComing Alive
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 34
7 T SIPT
magnet
9.4 T LEBIT
magnetRFQ cooler
buncher
Off-line
Ion sources
-300 -200 -100 0 100 200 300
15.0
15.2
15.4
15.6
15.8
16.0
16.2
16.4
16.6
16.8
Tim
e o
f F
ligh
t [µ
s]
Frequency - 2,759,224.7 [Hz]
data
fit
39K
+
Figure1-FirstFT-ICRsignalofionsfromSIPT.39K+IonsfromLEBITstableionsourceweresentthroughLEBITcoolerbuncherintoSIPTbeamlineandcapturedintheSIPTPenningtrap.AfterRFexcitationtheirimage-chargesignalwasrecorded.ThefigureshowstheFouriertransformationofthissignalw ithapeakatthecyclotronfrequencyof39K +ions.
0
0.0005
0.001
0.0015
0.002
0.0025
3000 3200 3400 3600 3800 4000
Amplitude[V]
Frequency- 2748647.833[Hz]
SIPTFT-ICR(5averages,256msacquisition)
WithIons
WithoutIons
Figure 4 – (Left) First TOF-ICR signal of ions from SIPT. (Right) First FT-ICR signal of ions from SIPT. In both cases, 39K+ Ions from a LEBIT stable ion source were sent through LEBIT cooler buncher into SIPT beam line and captured in the SIPT Penning trap. For TOF-ICR, after RF excitation the ions were ejected and their time of flight to a multichannel plate detector was recorded. A theoretical fit to the data is shown by the red line. For FT-ICR, after RF excitation the image-charge signal
from the ions was recorded. The figure on the right shows the Fourier transformation of this signal with a peak at the cyclotron frequency of 39K+ ions.
Summary
G. Bollen, Survey of Nuclear Physics 2017 – Masses and Moments, Slide 35
• Rare isotopes – discovery potential
• Atomic techniques provide means to
determine fundamental nuclear properties
• Laser spectroscopy
• Direct mass spectrometry
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