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- W2015120357 abstract "We give a simple proof of the nonrelativistic duality relation $〈{W}^{2}{ensuremath{sigma}}_{mathrm{bound}}〉ensuremath{approx}〈{W}^{2}{ensuremath{sigma}}_{mathrm{free}}〉$ for appropriate energy averages of the cross sections for ${e}^{+}{e}^{ensuremath{-}}ensuremath{rightarrow}(qoverline{q} mathrm{bound}mathrm{states})$ and ${e}^{+}{e}^{ensuremath{-}}ensuremath{rightarrow}(mathrm{free} qoverline{q} mathrm{pair})$, and calculate the corrections to the relation by relating ${W}^{2}ensuremath{sigma}$ to the Fourier transform of the Feynman propagation function and developing a short-time perturbation series for that function. We illustrate our results in detail for simple power-law potentials and potentials which involve combinations of powers." @default.
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- W2015120357 title "Short-time perturbation theory and nonrelativistic duality" @default.
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- W2015120357 doi "https://doi.org/10.1103/physrevd.28.597" @default.
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