Variance of the decay intensity of superdeformed bands

We present analytic formulae for the energy average and variance of the intraband decay intensity of a superdeformed band.Comment: 4 pages, 2 figures, presented at the VIII International Conference on Nucleus-Nucleus Collisions in Moscow (Russia) on June 17-21, 200

Resonances and the thermonuclear reaction rate

We present an approximate analytic expression for thermonuclear reaction rate of charged particles when the cross section contains a single narrow or wide resonance described by a Breit-Wigner shape. The resulting expression is uniformly valid as the effective energy and resonance energy coalesce. We use our expressions to calculate the reaction rate for $^{12}$C(p,$\gamma$)$^{13}$N.Comment: 4 pages, 1 figure, presented at the VIII International Conference on Nucleus-Nucleus in Moscow (Russia) on June 17-21, 200

Spectral properties of a generalized chGUE

We consider a generalized chiral Gaussian Unitary Ensemble (chGUE) based on a weak confining potential. We study the spectral correlations close to the origin in the thermodynamic limit. We show that for eigenvalues separated up to the mean level spacing the spectral correlations coincide with those of chGUE. Beyond this point, the spectrum is described by an oscillating number variance centered around a constant value. We argue that the origin of such a rigid spectrum is due to the breakdown of the translational invariance of the spectral kernel in the bulk of the spectrum. Finally, we compare our results with the ones obtained from a critical chGUE recently reported in the literature. We conclude that our generalized chGUE does not belong to the same class of universality as the above mentioned model.Comment: 12 pages, 3 figure