New inversion techniques for the triton photoeffect

Details New inversion techniques for the triton photoeffect New inversion techniques for the triton photoeffect

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982nupha.386..166e&link_type=abstract

Nuclear Physics A, Volume 386, Issue 1, p. 166-178.

Physics

Nuclear Physics

2

Scientific paper

The photoeffect cross section for a particle in a model potential has been calculated analytically along with five energy-weighted moments. Two sets of orthonormalized polynomials Rn and Sn are developed with the weighting functions exp(-x1/2) and x1/2 exp(-x1/2). respectively. These polynomials are used to invert the calculated moments to get the cross section corresponding to 5, 4, 3 and 2 moments.
The cross sections found by S-inversion are in good agreement with the model; those using R-inversion give somewhat poorer agreement.
Clare and Lally calculated triton moments and used Laguerre inversion to find the triton cross section. We use their moments with R-inversion and S-inversion. Our resulting cross section agrees reasonably well with Gorbunov's and Faul's measurements of the 3He photoeffect. We find better agreement than that found by Clare and Lally.

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