Lattice QCD Calculation of Flavor Singlet Matrix Elements and N-N Scattering Lengths

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We report on our recent study of flavor singlet matrix elements calculated with the wall source method without gauge fixing. Results are presented for the mass difference between $η^{\prime}$ and pseudoscalar octet mesons, the $π$-N $σ$ term and the proton axial vector matrix elements. An exploratory calculation of the N-N scattering lengths is also discussed including a phenomenological study with one-boson exchange potentials.
12 pages, latex source-file, 5 figures as epsf-file, talk presented at ''QCD on massively parallel computers'' (Yamagata, Japan, March 16-18 1995)

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