For fixed functions G,H:[0,∞)→[0,∞), consider the rotationally invariant probability density on Rn of form μn(ds)=1 ZnG(‖s‖2)e−nH(‖s‖2)ds. We show that when n is large, Euclidean norm ‖Yn‖2 a random vector Yn distributed according to μn satisfies thin-shell property, in its distribution highly likely concentrate around value s0 minimizing certain variational problem. Moreover, we fluctuations t...

We define a ghost D-brane in superstring theories as an object that cancels the effects of an ordinary D-brane. The supergroups U(N |M) and OSp(N |M) arise as gauge symmetries in the supersymmetric world-volume theory of D-branes and ghost D-branes. A system with a pair of D-brane and ghost D-brane located at the same location is physically equivalent to the closed string vacuum. When they are ...

Multiple inner-shell ionization of an atom in a heavy-ion collision and the vacancy rearrangement that follows are fundamental processes that so far have not been adequately described theoretically. The only fundamental theory of multiple inner-shell ionization whose results are widely available is the geometrical model [1]. It predicts that in central collisions (i.e. collisions restricted to ...

We have studied the evolution of the shell structure of nuclei near the neutron drip line in the Relativistic Hartree-Bogoliubov (RHB) theory with the vector self-coupling of ω meson. The experimental data on the shell effects about the waiting-point nucleus 80 Zn are reproduced successfully. It is shown that the shell effects at N = 82 near the r-process path remain strong. A quenching exhibit...