dorsal/arxiv
View SchemaNew technique for phase shift analysis: multi-energy solution of inverse scattering problem
| Authors | S. G. Cooper, V. I. Kukulin, R. S. Mackintosh, E. V. Kuznetsova |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9803014 |
| URL | https://arxiv.org/abs/nucl-th/9803014 |
| DOI | 10.1103/PhysRevC.58.31 |
| Journal | Phys.Rev.C58:31-35,1998 |
Abstract
We demonstrate a new approach to the analysis of extensive multi-energy data. For the case of d + He-4, we produce a phase shift analysis covering for the energy range 3 to 11 MeV. The key idea is the use of iterative perturbative data-to-potential inversion which can produce potentials which reproduce the data simultaneously over a range of energies. It thus effectively regularizes the extraction of phase shifts from diverse, incomplete and possibly somewhat contradictory data sets. In doing so, it will provide guidance to experimentalists as to what further measurements should be made. This study is limited to vector spin observables and spin-orbit interactions. We discuss alternative ways in which the theory can be implemented and which provide insight into the ambiguity problems. We compare the extrapolation of these solutions to other energies. Majorana terms are presented for each potential component.
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"abstract": "We demonstrate a new approach to the analysis of extensive multi-energy data.\nFor the case of d + He-4, we produce a phase shift analysis covering for the\nenergy range 3 to 11 MeV. The key idea is the use of iterative perturbative\ndata-to-potential inversion which can produce potentials which reproduce the\ndata simultaneously over a range of energies. It thus effectively regularizes\nthe extraction of phase shifts from diverse, incomplete and possibly somewhat\ncontradictory data sets. In doing so, it will provide guidance to\nexperimentalists as to what further measurements should be made. This study is\nlimited to vector spin observables and spin-orbit interactions. We discuss\nalternative ways in which the theory can be implemented and which provide\ninsight into the ambiguity problems. We compare the extrapolation of these\nsolutions to other energies. Majorana terms are presented for each potential\ncomponent.",
"arxiv_id": "nucl-th/9803014",
"authors": [
"S. G. Cooper",
"V. I. Kukulin",
"R. S. Mackintosh",
"E. V. Kuznetsova"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.31",
"journal_ref": "Phys.Rev.C58:31-35,1998",
"title": "New technique for phase shift analysis: multi-energy solution of inverse scattering problem",
"url": "https://arxiv.org/abs/nucl-th/9803014"
},
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