1. B 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 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-Gun 110keV Expected shot in Argon gas. parameters J-PARC original Test exp. Storage field3 [T]100 Gauss Beam particle + + e-e- Momentum [MeV/c] 3000.112 Beam size [rad-m] 1.5  ×10 -6 3  ×10 -7 Kick duration[nsec]300~500100~300 Cycle period [nsec]7.42.4 Orbit radius [m]0.330.115 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 hiromi@post.kek.jphiromi@post.kek.jp 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 C C P P No left handed anti-neutrino, nor right handed neutrino Left-handed or right-handed relates to spin C= 1 P= -1 CP= -1 C=1 P=1 CP=1 The discovery of CP violation in 1964 in the decays of neutral kaons ( weak decay, right picture) ~0.2%! (1964) kaons 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 Tilt angle=1mrad (0.006degree) Beam storage plane 3-D Spiral injection does work! “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  3mrad  80mm 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 LINAC Laser (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  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: Vertical Kick 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 ++ Apply proper radial fringe field to deflect vertical motion to the horizontal  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 transfer Inner and outer coils 300nsec 80A I(t)=I peak  sin(  t) Solenoid and radial axes Target region R=33+/-0.5cm Z=+/-10cm 3H3H 10W +20kV DC 1M  +20kV, 1nF Thyratron 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 http://g-2.kek.jp