International Journal of Modern Physics A

In this paper we evaluate the potential of the CMS detector for the measurement of CP violation in the B system at the initial low luminosity of LHC (~10³³cm⁻²s⁻¹). The sensitivity to the unitarity triangle angle β obtained from the channel is given by δ (sin 2β) = 0.046, whilst the sensitivity to a from the channel is given by δ (sin 2α) = 0.082. We also discuss the possibilities of observing semi-inclusive B → μ + D_(s) final states, to measure oscillations and to observe some B baryon modes.

In the context of the fractional quantum Hall effect, we investigate Laughlin's ansatz for the ground state wave function at fractional filling of the lowest Landau level. Interpreting its normalization in terms of a one-component plasma, we find the effect of an additional quadrupolar field on the free energy, and derive estimates for the thermo dynamically equivalent spherical plasma. In the second part of the paper, we present various methods for expanding the wave function in terms of Slater determinants, and obtain sum rules for the coefficients. We also address the apparently simpler question of counting the number of such Slater states using the theory of integral polytopes.