dorsal/arxiv
View SchemaAn inversion procedure for coupled-channel scattering: determining the deuteron-nucleus tensor interaction
| Authors | S. G. Cooper, V. I. Kukulin, R. S. Mackintosh, V. N. Pomerantsev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907110 |
| URL | https://arxiv.org/abs/nucl-th/9907110 |
| DOI | 10.1016/S0375-9474(00)00309-2 |
| Journal | Nucl.Phys. A677 (2000) 187-209 |
Abstract
We present a practical $S$-matrix to potential inversion procedure for coupled-channel scattering. The inversion technique developed is applied to non-diagonal $S^J_{ll'}$ for spin one projectiles, yielding a tensor interaction $T_{\rm R}$, and is also applicable to spin-1/2 plus spin-1/2 scattering. The method is a generalization of the iterative-perturbative, IP, method. It is tested and evaluated and we investigate the degree of uniqueness of the potential, particularly for cases where there is insufficient information to define the potential uniquely. We examine the potentials which result when the $S$-matrix is generated from a $T_{\rm P}$ interaction. We also develop the generalisation, using established procedures, of IP $S$-matrix-to-potential inversion to direct observable-to-potential inversion. This `direct inversion' procedure is demonstrated to be an efficient method for finding a multi-component potential including a $T_{\rm R}$ interaction fitting multi-energy $\sigma$, ${\rm i}T_{11}$, $T_{20}$, $T_{21}$ and $T_{22}$ data for the scattering of spin-1 nuclei from spin-zero target. It is applicable to other channel spin 1 cases.
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"abstract": "We present a practical $S$-matrix to potential inversion procedure for\ncoupled-channel scattering. The inversion technique developed is applied to\nnon-diagonal $S^J_{ll\u0027}$ for spin one projectiles, yielding a tensor\ninteraction $T_{\\rm R}$, and is also applicable to spin-1/2 plus spin-1/2\nscattering. The method is a generalization of the iterative-perturbative, IP,\nmethod. It is tested and evaluated and we investigate the degree of uniqueness\nof the potential, particularly for cases where there is insufficient\ninformation to define the potential uniquely. We examine the potentials which\nresult when the $S$-matrix is generated from a $T_{\\rm P}$ interaction. We also\ndevelop the generalisation, using established procedures, of IP\n$S$-matrix-to-potential inversion to direct observable-to-potential inversion.\nThis `direct inversion\u0027 procedure is demonstrated to be an efficient method for\nfinding a multi-component potential including a $T_{\\rm R}$ interaction fitting\nmulti-energy $\\sigma$, ${\\rm i}T_{11}$, $T_{20}$, $T_{21}$ and $T_{22}$ data\nfor the scattering of spin-1 nuclei from spin-zero target. It is applicable to\nother channel spin 1 cases.",
"arxiv_id": "nucl-th/9907110",
"authors": [
"S. G. Cooper",
"V. I. Kukulin",
"R. S. Mackintosh",
"V. N. Pomerantsev"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(00)00309-2",
"journal_ref": "Nucl.Phys. A677 (2000) 187-209",
"title": "An inversion procedure for coupled-channel scattering: determining the deuteron-nucleus tensor interaction",
"url": "https://arxiv.org/abs/nucl-th/9907110"
},
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