Resonance scattering and singularities of the scattering function

Finite range scattering wave function method for scattering and resonance lifetimes

A generic expression for the scattering wave function in terms of the full discrete spectral Green’s function on a finite range is used to obtain the “finite range scattering wave function (FRSW)” which is accurate over a finite range of the scattering coordinate. We show that the representation of the FRSW in a finite basis set can be used to compute the scattering matrix and related quantitie...

Propagation of Singularities in Many-body Scattering

In this paper we describe the propagation of singularities of tempered distributional solutions u ∈ S of (H − λ)u = 0, λ > 0, where H is a many-body Hamiltonian H = ∆+ V , ∆ ≥ 0, V = P a Va, under the assumption that no subsystem has a bound state and that the two-body interactions Va are real-valued polyhomogeneous symbols of order −1 (e.g. Coulomb-type with the singularity at the origin remov...

Resonance Raman Scattering and Collision-Induced Redistribution Scattering in I2

Multiple Resonance Scattering

The previously proposed Multiple Resonance Scattering (MRS) theory is elaborated. In addition of predicting a radiationless fusion of two deuterium nuclei into a He 4 -nucleus in its ground state, the MRS theory is also shown to be in agreement with the experimental results concerning the transmutations of heavier nuclei. A form for the nuclear active environment is suggested and new experiment...

Chaotic scattering through potentials with rainbow singularities.

We investigate chaotic scattering in a family of two dimensional Hamil-tonian systems. The potential in which a point particle scatters consists of a superposition of a nite number of central force potentials. Each central force potential is either attracting without any singularity, or attracting at long distances with a repelling singularity in the center motivated by potentials used in molec...