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Rubin H. Landau

Publications and source records attributed to Rubin H. Landau.

4 recordsLinked to original sources

Two-Particle Schroedinger Equation Animations of Wavepacket-Wavepacket Scattering (revised)

A simple and explicit technique for the numerical solution of the two-particle, time-dependent Schrödinger equation is assembled and tested. The technique can handle interparticle potentials that are arbitrary functions of the coordinates of each particle, arbitrary initial and boundary conditions, and multi-dimensional equations. Plots and animations are given here and on the World Wide Web of the scattering of two wavepackets in one dimension.

physics.comp-ph↗

Charge Symmetry Breaking in 500 MeV Nucleon-Trinucleon Scattering

Elastic nucleon scattering from the 3He and 3H mirror nuclei is examined as a test of charge symmetry violation. The differential cross-sections are calculated at 500 MeV using a microsopic, momentum-space optical potential including the full coupling of two spin 1/2 particles and an exact treatment of the Coulomb force. The charge-symmetry-breaking effects investigated arise from a violation within the nuclear structure, from the p-nucleus Coulomb force, and from the mass-differences of the charge symmetric states. Measurements likely to reveal reliable information are noted.

nucl-th↗

Pion-Nucleon Scattering and the $π$NN Coupling Constant in the Chiral Color Dielectric Model

We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $π$N and $πΔ$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in Fock space. Spurious motion of the center of mass is eliminated by constructing momentum eigenstates via a Peierls-Yoccoz projection. The relativistic Lippmann-Schwinger equation is solved for the complex energies of the T matrix poles, and the pole positions of the nucleon and delta are used to fix the few parameters of the model. The $S$- and $P$-wave phase shifts, the bare N and $Δ$ masses, the renormalized $π$NN and $π$N$Δ$ coupling constants, and the $π$NN and $π$N$Δ$ vertex functions are predicted. nucleon and delta are used to fix the few parameters of the model. The $S$- and $P$-wave phase shifts, the bare N and $Δ$ masses, the renormalized $π$NN and $π$N$Δ$ coupling constants, and the $π$NN and $π$N$Δ$ vertex functions are predicted.

nucl-th↗

Pionic Bound States in Momentum Space

Bound states of the pion--nucleus system are investigated in momentum space using a microscopic optical potential with inherent energy dependences and nonlocalities arising from elementary potential models. The wave equation and computational techniques are tested, shallow levels are calculated, and a comparison is made with experiment. Deep levels are found to be deeper and broader than those in other investigations.

nucl-th↗