dorsal/arxiv
View SchemaNuclear applications of inverse scattering, present ... and future?
| Authors | R. S. Mackintosh |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0510009 |
| URL | https://arxiv.org/abs/nucl-th/0510009 |
Abstract
There now exists a practical method (IP) for the routine inversion of $S$-matrix elements to produce the corresponding potential. It can be applied to spin-1/2 and spin-1 projectiles. We survey the ways that IP inversion can be applied in nuclear physics by inverting $S_{lj}$ derived from theory or from experiment. The IP inversion method can be extended to invert $S_{lj}(E)$ over a range of energies to produce a potential $V(r,E) + \vect{l}\vdot\gvect{\sigma} V_{\rm ls}(r,E)$. It also yields parity-dependent potentials between pairs of light nuclei and can be convoluted with a direct search on the $S$-matrix to produce `direct data $\to V$ inversion'. The last is an economical alternative form of optical model search to fit many observables (e.g. for polarized deuterons) for many energies, producing an energy-dependent potential with many parameters (e.g. $T_{\rm R}$ for deuterons).
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"abstract": "There now exists a practical method (IP) for the routine inversion of\n$S$-matrix elements to produce the corresponding potential. It can be applied\nto spin-1/2 and spin-1 projectiles. We survey the ways that IP inversion can be\napplied in nuclear physics by inverting $S_{lj}$ derived from theory or from\nexperiment. The IP inversion method can be extended to invert $S_{lj}(E)$ over\na range of energies to produce a potential $V(r,E) +\n\\vect{l}\\vdot\\gvect{\\sigma} V_{\\rm ls}(r,E)$. It also yields parity-dependent\npotentials between pairs of light nuclei and can be convoluted with a direct\nsearch on the $S$-matrix to produce `direct data $\\to V$ inversion\u0027. The last\nis an economical alternative form of optical model search to fit many\nobservables (e.g. for polarized deuterons) for many energies, producing an\nenergy-dependent potential with many parameters (e.g. $T_{\\rm R}$ for\ndeuterons).",
"arxiv_id": "nucl-th/0510009",
"authors": [
"R. S. Mackintosh"
],
"categories": [
"nucl-th"
],
"title": "Nuclear applications of inverse scattering, present ... and future?",
"url": "https://arxiv.org/abs/nucl-th/0510009"
},
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