Inversion of triton moments

Journal Article · Sun Feb 01 04:00:00 EST 1981 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.23.657· OSTI ID:6656338

Clare, R B; Levinger, J S

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.

• Research Organization: Rensselaer Polytechnic Institute, Troy, New York 12181
• OSTI ID: 6656338
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 23:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651214* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Moments and Spin-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BEAMS
CHARGED PARTICLES
CROSS SECTIONS
DIPOLE MOMENTS
ELECTRIC DIPOLE MOMENTS
ELECTRIC MOMENTS
EQUATIONS
EVEN-ODD NUCLEI
FUNCTIONS
HELIUM 3
HELIUM ISOTOPES
ISOTOPES
LAGUERRE POLYNOMIALS
LIGHT NUCLEI
MANY-BODY PROBLEM
NUCLEAR FORCES
NUCLEAR REACTIONS
NUCLEI
PHOTONUCLEAR REACTIONS
POLARIZED BEAMS
POLYNOMIALS
STABLE ISOTOPES
SUM RULES
THREE-BODY PROBLEM
TRITONS
WAVE FUNCTIONS
WIGNER FORCE