6533b85dfe1ef96bd12bdf47
RESEARCH PRODUCT
Corrigendum to “On magnetic guidance of charged particles” [Phys. Lett. B 755 (2016) 409–413]
Hartmut Backesubject
PhysicsNuclear and High Energy PhysicsExact results010308 nuclear & particles physicsPosition (vector)0103 physical sciences010306 general physicsMaxima01 natural sciencesCharged particlelcsh:Physicslcsh:QC1-999Mathematical physicsdescription
The quantities α′ n and α′ n f are the positions where R(α) in Eqs. (7) and (9) have their maxima, respectively. In Fig. 1(a) the approximation based on these equations is compared with exact results obtained on the basis of Ref. [3]. The position of the spikes are now exactly reproduced. However, for small R ’s there remain some deviations. In particular, for the lowest orbit the expression (α2 + − α2 0) of [2, Eq. (13)] gets imaginary for R/r0 < 0.246 and causes a little kink, see Fig. 1(a). This fact prompted Dubbers [2] replacing for R ≤ 0.34 the quantity α+(R) by the approximation which reads corrected [4] α0[1 + (R/r0)/(8 sin2 α0/2)]. In addition, the statement in Ref. [2] that normalization is preserved could not be confirmed, even not with the corrected formu-
year | journal | country | edition | language |
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2016-05-01 | Physics Letters B |