Using lattice QCD on a 16 3 × 24 lattice at β = 6.0, we examine the elastic limit of charge overlap functions in the quenched approximation for the pion and rho meson; results are compared to previous direct current insertion calculations. A good signal is seen for the pion, but the electric and magnetic rho meson results are considerably noisier. We find that the pion and rho results are characterized by a monopole mass to rho mass ratio of 0.97 (8) and 0.73(10), respectively. Assuming the functional form of the electric and magnetic form factors are the same, we also find a rho meson g-factor of g = 2.25(34), consistent with the nonrelativistic quark model.
It is well established that certain detached eclipsing binary stars exhibit
apsidal motions whose value is in disagreement with with calculated deviations
from Keplerian motion based on tidal effects and the general theory of
relativity. Although many theoretical senarios have been demonstrated to bring
calculations into line with observations, all have seemed unlikely for various
reasons. In particular, it has been established that the hypothesis of a third
star in an orbit almost perpendicular to the orbital plane of the close binary
system can explain the anomalous motion in at least some cases. The stability
of triple star systems with highly inclined orbits has been in doubt, however.
We have found conditions which allow the long term stability of such systems
so that the third body hypothesis now seems a likely resolution of the apsidal
motion problem. We apply our stability criteria to the cases of AS Cam and DI
Her and recommend observations at the new Keck interferometer which should be
able to directly observe the third bodies in these systems.Comment: edited to match published versio
We examine the theory of the Hurricane Balls toy. This toy consists of two steel balls, welded into a rigid structure which is sent spinning on a horizontal surface somewhat like a top. Unlike a top, at high frequency the symmetry axis approaches a limiting inclination that is not perpendicular to the surface. We calculate and experimentally verify the limiting inclinations for three toy geometries.
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