B
S
stcos
Grants-in-aid KIBAN-B (FY2014~) https://kaken.nii.ac.jp/d/p/26287055.en.html
Magnetic Dipole Moment g-2
Electric Dipole Moment EDM
NEW PHYSICS SEARCH
Utilize high intensity muon beam of J-PARC Material and Life Science Facility (MLF)
+
How to find T-violation in spin recession signal?
• Orbit radius=33.3cm• Cyclotron period=7.4nec• Requires 60mrad
horizontal kick within 1 cycle
Uncertainty for each point is from reading fluctuation of oscilloscope
mV
1 Gauss
2 Gauss
Grants-in-aid WAKATE-B (FY2011~2013)https://kaken.nii.ac.jp/d/p/23740216.en.html
R=33.3cm
axisymmetrically-excited field
E-Gun110keV
Expected shot in Argon gas.
parameters J-PARC original Test exp.
Storage field 3 [T] 100 Gauss Beam particle + e-
Momentum [MeV/c] 300 0.112
Beam size [rad-m]
1.5×10-6 3×10-7
Kick duration[nsec] 300~500 100~300
Cycle period [nsec] 7.4 2.4
Orbit radius [m] 0.33 0.115
Bean line 2m in total
• This test experiment has been started from 2014.
• In stead of muon beam, we utilize electron beam from electron gun,
• Inject electron beam into “Mini-solenoid magnet” and visualize 3-D trajectory,
• “Mini-solenoid” is 1/3 scale compared to the original storage magnet, but it can apply weak focusing field,
• We are now beam commissioning,• Vertical kicker system will be
installed in FY2016.
80cm
60cm
[email protected] http://research.kek.jp/people/hiromi/MyHomePage/MiniSolExp.html
Amplitude of up-down asymmetry directly indicates non-zero EDM existence!!
Noether's (first) theorem Every differentiable symmetry of the action of a physical system has a corresponding conservation law.
3.Charge conjugation parity (CP) violation
2. Charge conjugation is not conserved
L
R
L
R
C
C
PP
• No left handed anti-neutrino, nor right handed neutrino
• Left-handed or right-handed relates to spin
0LK
0
0
0LK
C= 1P= -1CP= -1
C=1P=1CP=1
• The discovery of CP violation in 1964 in the decays of neutral kaons ( weak decay, right picture) ~0.2%! (1964)
• At least three generations of quarks are required (Cabibbo-Kobayashi-Masukawa Matrix)
CP violation Time reversal invariance
Anti matter
Weak decay
Electric Dipole Moment: EDM
scm
ed EDM
BcB
g
m
eEDMSPIN
2
2
2
BTilt angle=1mrad
(0.006degree)
Beam storage plane
3-D Spiral injection does work!
RB F
RB
v
F
yB
“Almost” 2-D orbit
(a)Very precise storage magnetic field (1ppm locally)(b)Smooth injection without error field in the storage volume(b)Storage orbit’s plane should be stable <0.01mrad
Three keys to detect EDM signal
Kicked beam motion in the weak focusing field
3mrad80mm
Kick!!
Zoom up
Vertical phase space
0.3mrad
10mm
1.Parity conjugation is not conserved
Proton beam(3 GeV, 1MW, 25 Hz)
Muon Linac (300 MeV/c)
Ultra-Cold + Source and LINACLaser
(2.3 keV/c) (28 MeV/c)
Spin dependent decay emits e+ in “+ spin direction”
Spin=1/2
EDM term can be detected by up-down asymmetry
Search for time reversal invariance in muon spin precession
Apply MRI technology 3-D spiral injection Kicker and Weak focusing field
How to inject muon beam in “MRI” magnet?
Usual method (2-D injection) is not applicable, because:
yR
BnB y
R0
m
En
cm
n
V
H
H
271082.0
,22.1~
3.33
,11
2
Vertical Kick
R
rnBB
r
B
B
R
yy
y
y
1
n
0
0v
Storage orbit’s plane
0.66m
+
Test experiment to demonstrate 3-D spiral injection
+ beam
Iron yoke
Engineering design of Super conductive storage magnet is ongoing
yoke radius= 2m
OPERA 1/8 model
Half height= 1.5m
Super conductive
coils
RB
+
F
Apply proper radial fringe field to deflect vertical motion to the horizontal
peak
kick
kickpeak
B
T
TBt
sinBkick
~ 500nsec~ 2Gauss
Weak focus field at storage volume
Weak focus field
Development of a pulsed kicker system
Mini-solenoid magnet fabricated in 2014
Field measurement is done by hole probe (FY2014)
Signal from pickup coil (differential amplifier+ integrator)
Current transferInner and outer coils
300nsec
80A
I(t)=Ipeak sin(t)
Solenoid and radial axes
Target region R=33+/-0.5cm
Z=+/-10cm
3H
10W+20kV DC
1M
+20kV , 1nFThyratron switch
+
G
Kicker coil (original size)
Signal of CT
Pickup coil
Signal of Pickup
coil
Test bench setup
High current supply
Prof. Nakayama
H. Iinuma
My son Aug. 2012
Spatial field is in good agreement between measurement and OPERA simulation!
simulation
Momentum and energy conservation
• Lagrangian is symmetric under continuous translations in space and time
• But, it is not applicable to quantum field theory
Homogeneity of space-time
Angular momentum conservation
rotationally symmetric
Spin=1/2
Spin dependent angular distribution of Weak decay
Weak decay
BEYOND STANDARD MODEL &http://g-2.kek.jp