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Nuclear Matrix Elements for Tensor Interactions that Violate Local - - PowerPoint PPT Presentation
Nuclear Matrix Elements for Tensor Interactions that Violate Local - - PowerPoint PPT Presentation
Nuclear Matrix Elements for Tensor Interactions that Violate Local Lorentz Invariance Alex Brown and Vladimir Zelevinsky Alex Brown and Vladimir Zelevinsky National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy
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Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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CPT-even Lorentz violation
L = – (m + a + b5 ) + i
2 ( + c
+ d 5 )
a,b - CPT-odd c,d - CPT-even
- Maximum attainable particle velocity
2
(
)
) ˆ ˆ ˆ 1 ( v v c v c c c v
Coleman and Glashow Jacobson
– Implications for ultra-high energy cosmic rays, Cherenkov radiation, etc B t li it 10 23 f A lt hi h i
) 1 (
00 k j jk j j MAX
v v c v c c c v
Jacobson
– Best limit c00 ~ 10-23 from Auger ultra-high energy cosmic rays – Many laboratory limits (optical cavities, cold atoms, etc)
- Motivation for Lorentz violation (without breaking CPT)
( g )
– Doubly-special relativity – Horava-Lifshitz gravity
S hi i l d h h i l Something special needs to happen when particle momentum reaches Plank scale!
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Search for CPT-even Lorentz violation with nuclear spin N d l i i h bi l l d l i 1/2
- Need nuclei with orbital angular momentum and total spin >1/2
- Quadrupole energy shift proportional to the kinetic energy of the
valence nucleon valence nucleon
2 2 2 33 22 11
2 ) 2 ( ~
z y x Q
p p p c c c E
- Previosly has been searched for in two experiments using 201Hg
and 21Ne with sensitivity of about 0.5 Hz B d 10 l d i b d
- Bounds on neutron cn~10 – already most stringent bound on c
coefficient!
Suppressed by vEarth
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M i fi ld lf i Magnetic field self-compensation
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Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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Search for CPT-even Lorentz violation with nuclear spin N d l i i h bi l l d l i 1/2
- Need nuclei with orbital angular momentum and total spin >1/2
- Quadrupole energy shift proportional to the kinetic energy of the
valence nucleon valence nucleon
2 2 2 33 22 11
2 ) 2 ( ~
z y x Q
p p p c c c E
- Previosly has been searched for in two experiments using 201Hg
and 21Ne with sensitivity of about 0.5 Hz B d 10 l d i b d
- Bounds on neutron cn~10 – already most stringent bound on c
coefficient!
Suppressed by vEarth
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1 ep=1 en=0
Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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1 37 0 45 ep=1.37 en=0.45
Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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1 ep=1 en=0
Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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1 37 0 45 ep=1.37 en=0.45
Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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Ham Hamiltonian Toi (Table of Isotopes) Hamiltonian Input programs
NuShellX@MSU wrapper
p )
Observables and Graphics
Outputs for energies * lpt NuShellX library of published Hamiltonians (sps folder) Outputs for energies .lpt <|a+|> *.lsf <|a+ a|> *.obd <|a+ a+|> *.tna
*.sp model space files
| | postscript (*.eps) (*.pdf) figures
Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
*.int Hamiltonian files
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The key is to optimize the sums in this equation for OpenMP and/or MPI
Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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Alex Brown, August 6, 2013 INT Program on Nuclei and Fundamental Symmetries
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jj55 model space
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Search for Neutrinoless Double-Beta Decay in 136Xe with EXO-200 Mihai Horoi (next week) – also requires addition of spin-orbit partners
137Ba – first observation of double-gamma
decay (D.J. Millener, R.J. Sutter, D.E. Alburger) Alburger)
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(39) (10,052) a b
132Te
2+
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(1333) (359,934) a b
132I
2+
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(72) (74,311,166) a b
132Xe
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