328 research outputs found
Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang
We prove that a real analytic subset of a torus group that is contained in
its image under an expanding endomorphism is a finite union of translates of
closed subgroups. This confirms the hyperplane zeros conjecture of Lagarias and
Wang for real analytic varieties. Our proof uses real analytic geometry,
topological dynamics and Fourier analysis.Comment: 25 page
Search for two-neutrino double electron capture on Xe with the XMASS-I detector
Double electron capture is a rare nuclear decay process in which two orbital
electrons are captured simultaneously in the same nucleus. Measurement of its
two-neutrino mode would provide a new reference for the calculation of nuclear
matrix elements whereas observation of its neutrinoless mode would demonstrate
lepton number violation. A search for two-neutrino double electron capture on
Xe is performed using 165.9 days of data collected with the XMASS-I
liquid xenon detector. No significant excess above background was observed and
we set a lower limit on the half-life as years at 90%
confidence level. The obtained limit has ruled out parts of some theoretical
expectations. We obtain a lower limit on the Xe two-neutrino double
electron capture half-life of years at 90% confidence
level as well.Comment: 6 pages, 3 figures, accepted for publication in Physics Letters
Scintillation-only Based Pulse Shape Discrimination for Nuclear and Electron Recoils in Liquid Xenon
In a dedicated test setup at the Kamioka Observatory we studied pulse shape
discrimination (PSD) in liquid xenon (LXe) for dark matter searches. PSD in LXe
was based on the observation that scintillation light from electron events was
emitted over a longer period of time than that of nuclear recoil events, and
our method used a simple ratio of early to total scintillation light emission
in a single scintillation event. Requiring an efficiency of 50% for nuclear
recoil retention we reduced the electron background to 7.7\pm1.1(stat)\pm1.2
0.6(sys)\times10-2 at energies between 4.8 and 7.2 keVee and to
7.7\pm2.8(stat)\pm2.5 2.8(sys)\times10-3 at energies between 9.6 and 12 keVee
for a scintillation light yield of 20.9 p.e./keV. Further study was done by
masking some of that light to reduce this yield to 4.6 p.e./keV, the same
method results in an electron event reduction of 2.4\pm0.2(stat)\pm0.3
0.2(sys)\times10-1 for the lower of the energy regions above. We also observe
that in contrast to nuclear recoils the fluctuations in our early to total
ratio for electron events are larger than expected from statistical
fluctuations.Comment: 25 pages, 15 figure
Resolving theta_{23} Degeneracy by Accelerator and Reactor Neutrino Oscillation Experiments
If the lepton mixing angle theta_{23} is not maximal, there arises a problem
of ambiguity in determining theta_{23} due to the existence of two degenerate
solutions, one in the first and the other in the second octant. We discuss an
experimental strategy for resolving the theta_{23} octant degeneracy by
combining reactor measurement of theta_{13} with accelerator nu_{mu}
disappearance and nu_{e} appearance experiments. The robustness of the
theta_{23} degeneracy and the difficulty in lifting it only by accelerator
experiments with conventional nu_{mu} (and nu_{mu}-bar) beam are demonstrated
by analytical and numerical treatments. Our method offers a way to overcome the
difficulty and can resolve the degeneracy between solutions sin^2 theta_{23} =
0.4 and sin^2 theta_{23} = 0.6 if sin^2 (2 theta_{13}) \gsim 0.05 at 95% CL by
assuming the T2K phase II experiment and a reactor measurement with an exposure
of 10 GW.kt.yr. The dependence of the resolving power of the octant degeneracy
on the systematic errors of reactor experiments is also examined.Comment: 23 pages, 9 figures, version to appear in PR
On two-dimensional surface attractors and repellers on 3-manifolds
We show that if is an -diffeomorphism with a surface
two-dimensional attractor or repeller and is a
supporting surface for , then and
there is such that: 1) is a union
of disjoint tame surfaces such that every is
homeomorphic to the 2-torus . 2) the restriction of to
is conjugate to Anosov automorphism of
Direct dark matter search by annual modulation in XMASS-I
A search for dark matter was conducted by looking for an annual modulation
signal due to the Earth's rotation around the Sun using XMASS, a single phase
liquid xenon detector. The data used for this analysis was 359.2 live days
times 832 kg of exposure accumulated between November 2013 and March 2015. When
we assume Weakly Interacting Massive Particle (WIMP) dark matter elastically
scattering on the target nuclei, the exclusion upper limit of the WIMP-nucleon
cross section 4.310cm at 8 GeV/c was obtained and we
exclude almost all the DAMA/LIBRA allowed region in the 6 to 16 GeV/c range
at 10cm. The result of a simple modulation analysis, without
assuming any specific dark matter model but including electron/ events,
showed a slight negative amplitude. The -values obtained with two
independent analyses are 0.014 and 0.068 for null hypothesis, respectively. we
obtained 90\% C.L. upper bounds that can be used to test various models. This
is the first extensive annual modulation search probing this region with an
exposure comparable to DAMA/LIBRA.Comment: 5 pages, 4 figure
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