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Goeran Faeldt

Publications and source records attributed to Goeran Faeldt.

3 recordsLinked to original sources

The production of eta-mesons in nucleon-nucleon collisions near threshold

Data on the total cross sections for the pp -> pp eta, pn -> pn eta, and pn -> d eta reactions and the pp -> pp eta differential cross section near threshold are analysed in a one-meson-exchange model. After including initial and final-state nucleon-nucleon distortion, the magnitude and most of the energy dependence are well reproduced. It is found that the contribution of rho-exchange is larger than that of pi-exchange. With destructive rho/pi interference in the pp case, the model explains quantitatively the pp -> pp eta/pn -> pn eta cross section ratio and the slope of the pp -> pp eta differential cross section. Such an agreement would be destroyed by any significant eta-exchange term. The residual energy dependence may be associated with eta-nucleon rescattering that has not been taken into account. The pn -> pn eta/pn -> d eta ratio depends weakly upon the nature of the particle exchanges, being determined primarily by the nucleon-nucleon final state interactions. The proton analysing power is predicted to remain small in the low energy region.

nucl-th

Bound and Unbound Wave Functions at Short Distances

There exists a simple relationship between a quantum-mechanical bound-state wave function and that of nearby scattering states, when the scattering energy is extrapolated to that of the bound state. This relationship is demonstrated numerically for the case of a spherical well potential and analytically for this and other soluble potentials. Provided that the potential is of finite range and that the binding is weak, the theorem gives a useful approximation for the short-distance behaviour of the scattering wave functions. The connection between bound and scattering-state perturbation theory is established in this limit.

quant-ph

Scattering Wave Functions at Bound State Poles

The normalisation relation between the bound and scattering S-state wave functions, extrapolated to the bound state pole, is derived from the Schroedinger equation. It is shown that, unlike previous work, the result does not depend on the details of the potential through the corresponding Jost function but is given uniquely in terms of the binding energy. The generalisations to higher partial waves and one-dimensional scattering are given.

quant-ph