Shape-Independent Expansion for the ${}^3{S}_1{-}^3{D}_1$ Mixing Parameter

Abstract

A low-energy shape-independent expansion is suggested for the function $[tan(2{\epsilon }_{BB})/(2k^2)]$, where ${\epsilon }_{BB}$ is the Blatt-Biedenharn mixing parameter for the ${}^3{S}_1-$ ${}^3{D}_1$ channel. This expansion allows an evaluation of the mixing parameter ${\epsilon }_{BB}$ from a knowledge of the deuteron asymptotic $D$ to $S$ ratio, pion mass and other low-energy observables, such as the scattering lengths, deuteron binding etc., of the nucleon-nucleon system. We demonstrate that the correct long range behavior of the tensor potential is essential for a realistic reproduction of ${\epsilon }_{BB}$.

7 pages, text and two postscript figures included

Cited by in corpus (1)

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