Inversion of triton moments
We use the formalism of hyperspherical harmonics to calculate several moments for the triton photoeffect, for a Volkov spin-independent potential. First, we improve the accuracy of Maleki's calculations of the moments sigma/sub 2/ and sigma/sub 3/ by including more terms in the hyperspherical e...
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Veröffentlicht in: | Phys. Rev., C; (United States) C; (United States), 1981-02, Vol.23 (2), p.657-664 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We use the formalism of hyperspherical harmonics to calculate several moments for the triton photoeffect, for a Volkov spin-independent potential. First, we improve the accuracy of Maleki's calculations of the moments sigma/sub 2/ and sigma/sub 3/ by including more terms in the hyperspherical expansion. We also calculate moments sigma/sub 0/ and sigma/sub 1/ for a Serber mixture. We find reasonable agreement between our moments found by sum rules and those found from the cross sections calculated by Fang et al. and Levinger-Fitzgibbon. We then develop a technique of inversion of a finite number of moments by making the assumption that the cross section can be written as a sum of several Laguerre polynomials multiplied by a decreasing exponential. We test our inversion technique successfully on several model potentials. We then modify it and apply it to the five moments (sigma/sub -/1 to sigma/sub 3/) for a force without exchange, and find fair agreement with Fang's values of the cross section. Finally, we apply the inversion technique to our three moments (sigma/sub -/1, sigma/sub 0/, and sigma/sub 1/) for a Serber mixture, and find reasonable agreement with Gorbunov's measurements of the /sup 3/He photoeffect. |
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ISSN: | 0556-2813 |
DOI: | 10.1103/PhysRevC.23.657 |