CERNINTC2017069 CERN June 27 2017 Lorenz Willmann CERNINTC2017069 The Weinberg Angle Atomic Parity Violation Kumar Marciano Annu Rev of Nucl Part Sci 63 237 2013 ID: 790462
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Slide1
Laser Cooling of Ra ions for Atomic Parity Violation
CERN-INTC-2017-069 CERN, June 27, 2017Lorenz Willmann
Slide2CERN-INTC-2017-069
Slide3The Weinberg AngleAtomic Parity Violation
Slide4Kumar, Marciano,
Annu
. Rev. of
Nucl
. Part. Sci.
63,
237 (2013)
Davoudiasl, Lee, Marciano, Phys. Rev. D 89, 095006 (2014); Phys. Rev. D 92, 055005 (2015)
Atomic
parity violation
(APV)
sin
2
(θW) = (1 – (MW/MZ)2) + rad. corrections + New Physics
Standard Model
Slide5F. Maas,
PSI2016
Cs
Ra
+
Slide6Cs
Atomic Parity Violation
Stark induced
forbidden transition
(C.
Wieman
et al. 1985-1996)
Slide7Single Ion APV
Experimental Method
Slide8Weak Interaction in Atoms
Interference of EM and Weak interactionsE1PNC = Kr
Z
3
Q
w = Kr
Z3 (- N + Z (1-4sin
2 θW
))
Atomic Theory
Measurement
Heavy System
Slide9Relativistic coupled-cluster (CC)
calculation of E1
APV
in Ra
+
E1
APV = 46.4(1.4) · 10-11 iea0
(−Qw/N) (3% accuracy)
Other results:
45.9 · 10-11 iea0
(−Qw/N) (R. Pal
et al., Phys. Rev. A 79
, 062505 (2009), Dzuba et al., Phys Rev. A 63, 062101 (2001).)Scaling of the APV
increase faster than Z3 (Bouchiat & Bouchiat, 1974)
K
r
relativistic enhancement factor
Atomic Number
Z
3
Ba
+
Sr
+
Ca
+
Ra
+
Z
3
K
r
Ra
+
effects
larger by:
20 (Ba
+
)
50 (Cs)
Enhancement
L.W. Wansbeek
et al.
,
Phys. Rev. A
78
, 050501 (2008)
Slide10Experiment requires Trapping
Differential Light shift
Energy splittings
not to scale
N.
Fortson
,
Phys
. Rev.
Lett
. 70, 2383-2386 (1993)
Slide11Trapping Ra ion
Previous Work
Slide12Radium Isotopes
206
Pb beam
12
C target
TRI
μ
P separator
Thermal ionizer
206
Pb +
12
C
ARa + (218-A) nTo RFQ (Paul trap)Rate after TI
TRImP@KVI
Sources
or
fragmentation
Δ
N
<10
225
Ra
extraction
from
229
Th source (
ANL)
Long
lived
229
Th source in an oven (
TRI
P)
Other Isotopes
Online production at accelerator
facilities
e.g.
TRI
P
(
flux
>
10
5
/s
) (until 2013)
ISOLDE ( flux <
107/s)
Slide13Trapped
Ra
+
Spectroscopy
7S
1/2
6D
3/2
6D
5/2
1079
n
m
468 nm
7P
1/2
7P
3/2
708
n
m
Radiofrequency Quadrupole (RFQ)
Level Scheme of Ra
+
Slide14O. O
Versolatao et. al., Phys.
Lett
. A
375 (2011) 3130–3133
G. S.
Giri
et al. Phys. Rev. A 84, 020503(R) (2011)[10] B.K. Sahoo
et al. Phys. Rev. A, 76 (2007
) B.K. Sahoo
et al. Phys. Rev. A, 79, 052512 (2009
)
Hyperfine Structure
of 6d 2D3/2 in Ra+
̴̴ 3,5 σ
Probe of atomic wave functions at the origin
Probe of atomic theory & size and shape of the nucleus
Slide15Isotope Shifts:
Atomic theory & size and shape of the nucleus
Hyperfine
Structure:
Atomic wave functions at the origin
State lifetime:
Probe of S-D E2 matrix element
agreement with
atomic structure calculations at
% level
Summary
Ra
+
M
easurements
Slide16Complementary Radium experiments Atomic Properties
Slide17Activity at CERN/ISOLDE
Slide18muX@PSI
Radium Charge RadiumBeamtime to improve sensitivity of muonic
x-ray
measurements
this summer
Slide19Barium IonBa
+ Atomic Parity Violation
Slide20Hyperbolic
Single Ion
Trap
10µm
Slide2121
V
RF
5 mm
138
Ba
+
494 nm
650 nm
2
S
1/2
2
D
3/2
2
D
5/2
2
P
1/2
2
P
3/2
Hyperbolic Paul trap
Slide22650 nm laser frequency (MHz)
EMCCD
PMT
138
Ba
+
494 nm
650 nm
2
S
1/2
2
D
3/2
2
D
5/2
2
P
1/2
2
P
3/2
Ion trap
Lasers
Detection
Slide23Importance of Line
Shape
Δ
1
,
Δ
2
laser
detunings
Ω
1
,
Ω2
Rabi frequencies(laser power)
Γ
=
Γ
1
+
Γ
2
relaxation rate
γ
=
Γ
/2
decoherence
rate
γ
c
laser linewidth
Optical Bloch equation
3 level example
Ba
+
|
2
S
1/2
⟩
Δ
1
Δ
2
γ
γ
γ
c
|
2
P
1/2
⟩
|
2
D
3/2
⟩
Γ
1
Γ
2
|1
⟩
|2
⟩
|3
⟩
|4
⟩
|5
⟩
|6
⟩
|7
⟩
|8
⟩
Ω
2
Ω
1
Slide24Ba
+
2
P
3/2
2
P
1/2
2
D
3/2
2
S
1/2
494
nm
650
nm
2
D
5/2
494
nm
650
nm
Frequency 650 nm laser − 461 311 000
MHz
650 nm laser intensity varied
Frequency 650 nm laser − 461 311 000
MHz
494 nm laser detuning varied
Dijck
et al., Phys. Rev. A
91
, 060501(R) (2015)
Fitted with optical Bloch equation model
Extract transition frequencies with 100 kHz accuracy
Transition frequencies
Slide25Ba
+
2
P
3/2
2
P
1/2
2
D
3/2
2
S
1/2
494
nm
650
nm
2
D
5/2
494
nm
650
nm
Frequency 650 nm laser − 461 311 000
MHz
650 nm laser intensity varied
Dijck
et al., Phys. Rev. A
91
, 060501(R) (2015)
Fitted with optical Bloch equation model
Extract transition frequencies with 100 kHz accuracy
B
-field
rotated
2
°
1
2
0
One-photon peak
frequency (MHz)
3
4
5
461 311 878.0
878.5
879.0
879.5
Expected
Power 650 nm laser (
Ω
2
/
Ω
2,sat
)
2
2
Light shift?
Correction in transition frequencies
for
Ω
2
dependent shift consistent with
2° rotation of
B
-field
Transition frequencies
Slide26Summary
Atomic Parity Violation
Slide27Accuracy
of
Single
Ion
Experiment
If
coherence time can be fully
exploited
Slide28Ratio measurement
Insensitivity of Ratio of measurements of E1APV for isotopes to atomic structure.
Best case scenario:
For radium a wide range of isotopes is available
V. A. Dzuba
, V. V.
Flambaum
, and I. B.
Khriplovich
, Z. Phys. D,
1
, 243 (1985)
Slide29Laser Cooling of Ra ions for
Atomic Parity Violation
D
eveloping
experimental setup
A
tomic
properties determination
Light shifts and Line shapes
Atomic Properties from online produced radium
Trapping and laser spectroscopy done at TRImP
Activity on Ra
+ colinear spectroscopy (ISOLDE)Muonic Radium experiments for charge radiusBa+Ra+Atomic Parity Violation:
ISOLDEIon trapping permits access to many transitionsLaser cooling for precisionAvailability of a large range of Ra isotopesLab with experience of precision lasers experiments at acceleratorsBuilding up of a collaboration
Frequency 650 nm laser − 461 311 000 MHz