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Double Decays, DUSEL, and the Standard Model. Wolfgang Bauer Michigan State University. Elementary Fermions. Mass Hierarchy. Largest Suppressed Highly Suppressed. Beta Decays. Composites: Mesons. Strong. Electromagnetic. Weak. Composites: Isotopes. - 2. - 1. N. + 1. + 2.
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Double Decays, DUSEL,and the Standard Model Wolfgang Bauer Michigan State University W. Bauer
Elementary Fermions W. Bauer
Mass Hierarchy W. Bauer
Largest Suppressed Highly Suppressed Beta Decays W. Bauer
Composites: Mesons Strong Electromagnetic Weak W. Bauer
Composites: Isotopes W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
Favorite Decay Channels W. Bauer
Already counted in atomic mass that contains Z+1 electrons W. Bauer
+ decay:positron emission W. Bauer
+ decay:electron capture W. Bauer
-2 -1 N +1 +2 Z+2 Observed double beta decays Z+1 Z Z-1 Z-2 Favorite Decay Channels W. Bauer
Z N W. Bauer
Double Beta Decay Isotopes • Only 12 known isotopes exhibit this decay • 48Ca, 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te, 134Xe, 136Xe, 150Nd, and 160Gd • Typical lifetimes ~ 1019 years (billion times the lifetime of universe) • First observed in 1986 by Michael Moe et al. for 82Se W. Bauer
Life Times and Q-Values W. Bauer
-2 -1 N +1 +2 Z+2 Z+1 Z Z-1 Z-2 W. Bauer
Double + Candidate 78Kr • Mass(78Kr) = 77.9203 GeVMass(78Se) = 77.9173 GeVMass difference = 2.85 MeV • 2 EC, e+EC (threshold 1.022 MeV), and e+e+ (threshold 2.044 MeV) channels are all open (in principle!) W. Bauer
Double + Candidate 78Kr • Typical predicted half-life* ~ 1022 years • Need N ~ 1025 atoms of 78Kr • Natural abundance of 78Kr = 0.35% • Need N ~ 3•1028 atoms of natKr • Need 0.168 kg*(3•1028)/(6•1023) =90 tons = 40,000 liters of natKr • Cost: ~$200,000 * A.Staudt, K.Muto and H.V.Klapdor-Kleingrothaus, “Nuclear matrix elements for double positron emission”, Phys. Lett. B268 (1991) 312 W. Bauer
Detection • Gamma ray detectors for 511 keV Photons and/or photons from K-shell ionization cascades • Detection of single atom of Selenium a la Ray Davis • Detection of positron paths in TPC (perhaps liquid Kr, or perhaps even better high pressure gas Kr (0.1g/cm3) W. Bauer
Liquid Argon TPC • One example forLANNDD (Liquid Argon Neutrino and NucleonDecay Detector) • Smallest shown:V = 125 m3 • Design can be taken over with slight modifications D.B. Cline and F. Sergiampietri, “A Concept for a Scalable 2 kTon Liquid Argon TPC Detector for Astroparticle Physics”, http://arxiv.org/abs/astro-ph/0509410 W. Bauer
Previous Experiment • > 0.9•1020 years • J.M. Gavriljuk et al., Phys. Atom. Nuclei 61, 1287 (1998) W. Bauer
From:DUSEL_121306.pdf Neutrino-less Double decay • Only possible if neutrino is its own anti-particle • Violation of Standard Model W. Bauer
Current lower half-life limits Compiled by Steven Elliott, LANL, 2006) W. Bauer
Could be detected? • Monte Carlo: 5 body vs. 3 body phase space withconstant or Fermi cross sections • Importance sampling with N-body event generator GENBOD (F. James, CERN library) • Lorentz-invariant Fermi phase space • Respects all conservation laws (energy, momentum) and uses proper reaction Q-value W. Bauer
Monte Carlo Events NeutrinoPositron Recoil Nucleus 3d momentum space event displays in cm-system W. Bauer
Positron Energy distributions • Monte Carlo: 5 body vs. 3 bodyphase space withconstant or Fermicross sections • Here: 106 events • More realistic:101-102 events,p/p ~ 0.1 W. Bauer
Coincidence Counts • In 0 case thedaughter nucleusreceives almostvanishing recoilenergy • Clear signal • (Note: not true forrecoil momentumof daughter nucleus) W. Bauer
Where to put this ++ experiment? W. Bauer
Background: 2 simult. + decays • Very rare • But we are dealinga very rare signal! W. Bauer
UndergroundLabs W. Bauer
DUSEL • Nov.07@NAS: Homestake/Sanford/DUSEL W. Bauer
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