dorsal/arxiv
View SchemaNew inversion methods for the Lorentz Integral Transform
| Authors | Diego Andreasi, Winfried Leidemann, Christoph Reiss, Michael Schwamb |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503033 |
| URL | https://arxiv.org/abs/nucl-th/0503033 |
| DOI | 10.1140/epja/i2005-10009-3 |
| Journal | Eur.Phys.J. A24 (2005) 361-372 |
Abstract
The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross sections without explicit knowledge of final state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform.
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"abstract": "The Lorentz Integral Transform approach allows microscopic calculations of\nelectromagnetic reaction cross sections without explicit knowledge of final\nstate wave functions. The necessary inversion of the transform has to be\ntreated with great care, since it constitutes a so-called ill-posed problem. In\nthis work new inversion techniques for the Lorentz Integral Transform are\nintroduced. It is shown that they all contain a regularization scheme, which is\nnecessary to overcome the ill-posed problem. In addition it is illustrated that\nthe new techniques have a much broader range of application than the present\nstandard inversion method of the Lorentz Integral Transform.",
"arxiv_id": "nucl-th/0503033",
"authors": [
"Diego Andreasi",
"Winfried Leidemann",
"Christoph Reiss",
"Michael Schwamb"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epja/i2005-10009-3",
"journal_ref": "Eur.Phys.J. A24 (2005) 361-372",
"title": "New inversion methods for the Lorentz Integral Transform",
"url": "https://arxiv.org/abs/nucl-th/0503033"
},
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