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J. A. Eden

Publications and source records attributed to J. A. Eden.

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A Consistent Meson-Field-Theoretical Description of PP-Bremsstrahlung

A parameter-free and relativistic extension of the RuhrPot meson-baryon model is used to define the dominant isoscalar meson-exchange currents. We compute pp-bremsstrahlung observables below the $π-$production threshold using a relativistic hadronic current density that includes impulse, wave function re-orthonormalization, meson-recoil, $\bar{\rm N}$N creation and annihilation, $ρπγ$ + $ωπγ$ + $ρηγ$ + $ωηγ$ vector-meson decay and N$Δγ(π,ρ)$ exchange currents. We obtain a good description of the available data. The N$Δγ(π)$ current is shown to dominate the large two-body contributions and closed-form expressions for various non-relativistic approximations are analyzed. An experimental sensitivity to the admixture of pseudo-scalar and pseudo-vector admixture of the NN$π$ interaction is demonstrated. We examine the Lorentz invariance of the NN$\rightleftharpoons$NN $t$-matrices and show a dominantly pseudo-vector NN$π$ coupling renders impulse approximation calculations without boost operators to be essentially exact. Conversely, a similar analysis of the $Δ{\rm N}\rightleftharpoons$NN transitions shows that boost operators and the two-body $NΔγ$ wave function re-orthonormalization meson-recoil currents are required in NN, $Δ$N and $ΔΔ$ coupled channel $t$-matrix applications. The need for additional data is stressed.

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Does The 3N-Force Have A Hard Core?

The meson-nucleon dynamics that generates the hard core of the RuhrPot two-nucleon interaction is shown to vanish in the irreducible 3N force. This result indicates a small 3N force dominated by conventional light meson-exchange dynamics and holds for an arbitrary meson-theoretic Lagrangian. The resulting RuhrPot 3N force is defined in the appendix. A completely different result is expected when the Tamm-Dancoff/Bloch-Horowitz procedure is used to define the NN and 3N potentials. In that approach, (e.g. full Bonn potential) both the NN {\it and} 3N potentials contain non-vanishing contributions from the coherent sum of meson-recoil dynamics and the possibility of a large hard core requiring explicit calculation cannot be ruled out.

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Meson-Exchange Currents in pp-Bremsstrahlung

The long-standing discrepancy between pp-bremsstrahlung data and calculations based on the relativistic impulse approximation current is substantially reduced by the inclusion of the PV$γ$ and intermediate-state $Δ$-resonance iso-scalar meson-exchange currents. The success of the standard procedures adopted here shows that pp-bremsstrahlung provides a powerful tool for the further study of $T$=1 isoscalar exchange currents. The need for addition high-precision data is stressed.

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Sensitivity of pp-Bremsstrahlung to Meson-Exchange Currents

We present pp-bremsstrahlung cross section calculations at the $π$-production threshold to search for kinematics that best differentiate model-dependent descriptions of the NN $t$-matrix and accentuate the contributions of isoscalar meson-exchange currents. Existing optimization procedures are shown to be completely unreliable due to the neglect of meson-exchange currents and phase space variations. We show that phase-space hides the most important differences in model $t$-matrices, but that improved data will be critical to further investigations of exchange currents.

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