dorsal/arxiv
View SchemaShape-Independent Expansion for the $^3S_1-^3D_1$ Mixing Parameter
| Authors | Sadhan K. Adhikari, Lauro Tomio, J. P. B. C. DE Melo, T. Frederico |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9310010 |
| URL | https://arxiv.org/abs/nucl-th/9310010 |
| DOI | 10.1016/0370-2693(93)91775-I |
| Journal | Phys.Lett.B318:14-18,1993 |
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 $^3S_1 -$ $^3D_1$ 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 $\epsilon_{BB}$.
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"abstract": "A low-energy shape-independent expansion is suggested for the function\n$[tan(2\\epsilon_{BB})/(2k^2)]$, where $\\epsilon_{BB}$ is the Blatt-Biedenharn\nmixing parameter for the $^3S_1 -$ $^3D_1$ channel. This expansion allows an\nevaluation of the mixing parameter $\\epsilon_{BB}$ from a knowledge of the\ndeuteron asymptotic $D$ to $S$ ratio, pion mass and other low-energy\nobservables, such as the scattering lengths, deuteron binding etc., of the\nnucleon-nucleon system. We demonstrate that the correct long range behavior of\nthe tensor potential is essential for a realistic reproduction of\n$\\epsilon_{BB}$.",
"arxiv_id": "nucl-th/9310010",
"authors": [
"Sadhan K. Adhikari",
"Lauro Tomio",
"J. P. B. C. DE Melo",
"T. Frederico"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(93)91775-I",
"journal_ref": "Phys.Lett.B318:14-18,1993",
"title": "Shape-Independent Expansion for the $^3S_1-^3D_1$ Mixing Parameter",
"url": "https://arxiv.org/abs/nucl-th/9310010"
},
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