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R. Woodhouse

Publications and source records attributed to R. Woodhouse.

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Matrix continued fraction solution to the relativistic spin-$0$ Feshbach-Villars equations

The Feshbach-Villars equations, like the Klein-Gordon equation, are relativistic quantum mechanical equations for spin-$0$ particles. We write the Feshbach-Villars equations into an integral equation form and solve them by applying the Coulomb-Sturmian potential separable expansion method. We consider bound-state problems in a Coulomb plus short range potential. The corresponding Feshbach-Villars Coulomb Green's operator is represented by a matrix continued fraction.

math-ph

Refinement of the $n-α$ and $p-α$ fish-bone potential

The fishbone potential of composite particles simulates the Pauli effect by nonlocal terms. We determine the $n-α$ and $p-α$ fish-bone potential by simultaneously fitting to the experimental phase shifts. We found that with a double Gaussian parametrization of the local potential can describe the $n-α$ and $p-α$ phase shifts for all partial waves.

nucl-th

The $α-α$ fishbone potential revisited

The fishbone potential of composite particles simulates the Pauli effect by nonlocal terms. We determine the $α-α$ fishbone potential by simultaneously fitting to two-$α$ resonance energies, experimental phase shifts and three-$α$ binding energies. We found that essentially a simple gaussian can provide a good description of two-$α$ and three-$α$ experimental data without invoking three-body potentials.

nucl-th