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The weak interaction studied in traps. introduction to the weak interaction -decay from inclusive to exclusive measurements the weak charge parity non-conserving (PNC) transitions the electric dipole moment time reversal violation (TRV) the importance of traps. Hans Wilschut
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The weak interaction studied in traps • introduction to the weak interaction • -decay • from inclusive to exclusive measurements • the weak charge • parity non-conserving (PNC) transitions • the electric dipole moment • time reversal violation (TRV) • the importance of traps Hans Wilschut KVI –Groningen (NL)
neutral charged e e- e e- Z0 W± e e- e e- Leptons and weak bosonslow energy interactions The leptons: (e-, e) ; (e+, e) (-, ) ; (+, ) (-, ) ; (+, ) The bosons: W+,W-,Z0 Now ! : e e - e- W± Z0 e- e-
p Putting in the quarkslow energy interactions APAC: only light quarks The quarks: (u, d) (s, c) (t, b) Vud Vus p n q-change dud e e d(-1/3) n W± W± e- u(+2/3) e- uud generation change PNC e s(-1/3) e- n W± Z0 n e- u(+2/3) e-
(N,Z) (N-1,Z+1) W± e- -decay charged currents Initial and final state of nucleus let you steer the detail of decay Fermi transitions 0+ 0+ + N N’ e, + Gamow-Teller 1+ 0+ “The Nucleus as micro laboratory” Decay probability (phase space) (nuclear structure) (weak interact)
Structure of the weak interaction Of all possible interactions only few are allowed characterization by the Dirac matrices involved Structure is V - A= left handed interaction “beyond” = right handedness new bosons more Higgs’s or….. = S, P or T Scalar Pseudo Scalar Vector (GV) Axial Vector (GA) Tensor
Inclusive observable1: decay rate Decay probability (phase space) (nuclear structure) (weak interact) super-allowed fermi decay: ignore nuclear structure (almost) integrate phase space Q5 • Vud = 0.9740 0.0005 • i|Vui|2 = 0.9968 0.0014 New candidates 62Ga,66As,70Br,74Rb need accurate Q…..Penning trap! Z of daugther
Exclusive measurements integrate over all spin variables only a and b remain
Measurement strategies exclusive electron-neutrino correlation electron-recoil correlation inclusive electron distribution recoil distribution recoil direct: TRAPS indirect: recoil messenger How does it work?
Inclusive observables2: Recoil distribution Impact of - on recoil Fermi Gamow-Teller Recoil e e Recoil Vector Scalar
Best measurement for aF Adelberger et al. PRL83(99)1299 32Ar 32Cl + e+ + ; 32Cl 31S + p aF=0.9989(52)(39) 107 cts S V exp line shape Higher order corrections folded in: not measured Direct measurement for 6He aGT= 0.3343(30) New measurements U. Leuven @ ISOLDE
Correlation experiments Setup at TRIUMF (Behr et al.) for 38mK (t1/2=0.93 s; 0+ 0+)
Current value aF=0.992(8)(5) improved statistics ? (3)(3) current limitation: response other attempts: aGT 6He at LPC/GANIL with Paul trap
Correlation experiments: spin degrees of freedom <J> vs : “A = Wu experiment” Vieira et al. (LANL) 82Rb (t1/2=75 s; 1+ 0+, (2+) ) (SM: A 1) Behr et al. 37K (t1/2=1.23 s; 3/2+ 3/2+, (5/2+)) (SM: A structure dependent) add recoil measurement: TRV (D) TRIP Na: LBL(Freedman) Li: Japan
The weak interaction neutral currents (N,Z) (N,Z) ,Z0 e- e- However,… Vem Qe + spin + …. VPV QW + anapole + ….
How to measure PNC? It is too weak to measure directly: mix with normal transition Make AWlarge AWZ3 and A emsmall (not too small) Cs experiments 6S1/27S1/2 Use Stark effect for A em Best result from Boulder experiment QW= 72.1 0.3 0.9 theory= 73.20 0.13
How to measure PNC? It is to weak to measure directly: mix with normal transition F=4 F=4 F=4 7S1/2 7S1/2 7S1/2 F=3 F=3 F=3 6P3/2 6P3/2 6P3/2 F=4 F=4 F=4 6S1/2 6S1/2 6S1/2 F=3 F=3 F=3
“The Bouchiats’ program” for the future • Other experiments in reliable atoms • radioactive Fr program at Stony Brook • and started at Legnaro • single Ba+ Paul trap (laser cooled) Seattle • Spin dependent PNC • anapole (133Cs done) • Isotope dependence • QW= N there are more radioactive • isotopes than stable ones • Other • molecules: enatiomers
Time reversal violation and EDM TRV is possible in the SM__ CP or T violation in K0 K0 Vdx d u,c,t s __ K0 K0 W W _ _ _ _ _ s u,c,t d immeasurably small otherwise extensions SM have much larger EDM EDM tool for theory selection
Washington Seattle de < 8.7 10-28 e cm
EDM activities Any object will do: consider method guidance by theory • point particles e,, • nucleons n • nuclei Tl, Hg “new ideas” Storage rings (APAC99) Ra+,Ra (atomic, nuclear enhancements)
Fundamental Interactions Nuclear physics Atomic physics Applied physics Summary and outlook -decay condensates Nuclear structure - and -decay Atomic moments Electric dipole Atomic structure chemistry Nuclear moments very rare isotope detection NIPNET HITRAP BETANET Gascatcher EXOTRAP EUROTRAP
Why traps? Maximal experimental control TRIP