Like-sign dilepton signature for gluino production at LHC including top quark and higgs boson effects

A systematic analysis of the like-sign dipleton signature for gluino production at LHC is performed in the $R$-conserving minimal supersymmetric standard model, taking into account the top quark and Higgs boson effects in the cascade decay. We consider two representative values of the gluino mass, 300 and 800 GeV, along with those of the other SUSY parameters. While the top quark contribution is kinematically suppressed for the former case it is very import for the latter. Ways of separating the signal from the background are discussed. One expects a viable LSD signals upto a gluino mass of $\sim 800$ (1200) GeV at the low (high) luminosity option of LHC over practically the full parameter space of MSSM.Comment: 16 pages, Latex, 4 figures (available on request

Ground state and vortex states of bosons in an anisotropic trap: A variational approach

We propose a simple variational form of the wave function to describe the ground state and vortex states of a system of weakly interacting Bose gas in an anisotropic trap. The proposed wave function is valid for a wide range of the particle numbers in the trap. It also works well in the case of attractive interaction between the atoms. Further, it provides an easy and fast method to calculate the physical quantities of interest. The results compare very well with those obtained by purely numerical techniques. Using our wave function we have been able to verify, for the first time, the predicted behaviour of aspect ratio.Comment: Revised version, To appear in the special issue of European Physical Journal