Relativistic corrections to the three-body problem
19706 pages
Published in:
- Phys.Rev.D 1 (1970) 3496-3501
Citations per year
Abstract: (APS)
Relativistic corrections are evaluated for a model three-body problem consisting of three identical bosons in s-wave pairs through separable potentials. For the potentials, Shirokov's second-order (in vc) correction, which vanishes in the c.m. frame of a two-body system, is considered. No corrections are considered for the kinetic energy, as it is argued that any such correction is intimately linked with the precise structure assumed for a three-particle dynamics and cannot merely be incorporated through the modification p22m→(m2+p2)12−m for each particle, which affects even the two-particle dynamics on the energy shell (and hence also the parameters of the two-body potential). The reduction in the quantity analogous to the binding energy of the triton is found to be of the order of 5%, while the curve for the counterpart of the doublet n−d scattering length (a12) versus the two-body strength parameter (λ) is slightly shifted to the right as a result of the relativistic correction.- many-body problem: three-body problem
- tritium: binding energy
- scattering: length
- length: scattering
- potential
- nuclear physics
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