ISSN:
1572-9486
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Conclusions Table VIII summarizes the computed binding energy of He4-nucleus which includes the zeroth order contribution and the correction up to the third order for three different potentials. The binding energy does not contain the C.M. energy, which has been calculated up to the second order. The r.m.s. radii corrected for the C.M. motion and for not-point-like nucleons are calculated up to the second order for potential RHEL 1 and up to the first order for Reid and RHEL 2 potentials. The binding energy and r.m.s. radii are computed for two different self-consistent conditions, the first of which is the usual classical condition (2.16), the second reads ΔE (1) = 0. In all cases the absolute value of the binding energy of the He4-nucleus is lower than the experimental value. It has been shown that the perturbation series built up on the Goldstone reaction matrix diverges, when a self-consistent technique is not used. This represents certain danger also for the self-consistent formulation, although it gives plausible results up to the third order. The result obtained seems to indicate that the discrepancy between the experimental and theoretical values for the binding energy may be caused by neglect of some fundamental facts (relativistic effects, many-body forces etc.) in the present many-body theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01589480
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