Nuclear orbiting and anomalies in nuclear reactions

In this paper, we report our measurements of back-angle oxygen and carbon particle yields from ¹⁶O+⁸⁹Y, ¹²C+⁹³Nb reactions forming the same compound nucleus ¹⁰⁵Ag at the same excitation energy and spin distribution. We find anomalously large oxygen yield and entrance channel dependence at high excitation energies from ¹⁶O+⁸⁹Y reaction implying formation of a dinuclear orbiting complex. Possible connection between nuclear orbiting and fast fission is also discussed.     

The q-Zassenhaus formula

A q-deformed analogue of the Zassenhaus formula, expressing the q-exponential of a sum of two noncommuting operators in terms of an infinite product of q-exponentials, is introduced.     

Random walk on the homogeneous spaces of a group and generalized coherent states

The evolution of a quantum system characterized by a dynamical group G and subjected to random interactions can be reduced, through the use of the generalized coherent states associated with a group $\text{G}$, whose algebra is an ideal of the algebra of G, to a random walk on some homogeneous space S of $\text{G}$. G is the group of automorphisms of S. The connection between the symmetry properties of such a random walk and the structure of G are discussed, showing that it is always possible to map the original process into an equivalent process taking place in the manifold of G. The investigation of the general properties of this mapping quite naturally provides a deep characterization of the role played by G in determining the basic transient and stationary features of the evolution of the system.