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Shape-Independent Expansion for the $^3S_1-^3D_1$ Mixing Parameter

Sadhan K. Adhikari·Lauro Tomio·J. P. B. C. DE Melo·T. Frederico
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Abstract

A low-energy shape-independent expansion is suggested for the function $[tan(2ε_{BB})/(2k^2)]$, where $ε_{BB}$ is the Blatt-Biedenharn mixing parameter for the $^3S_1 -$ $^3D_1$ channel. This expansion allows an evaluation of the mixing parameter $ε_{BB}$ 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 $ε_{BB}$.

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Sadhan K. Adhikari, Lauro Tomio, J. P. B. C. DE Melo, T. Frederico. 1993-10-11. Shape-Independent Expansion for the $^3S_1-^3D_1$ Mixing Parameter. https://doi.org/10.1016/0370-2693(93)91775-i

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