2007
DOI: 10.1016/j.astropartphys.2007.06.004
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Mutually compensative pseudo solutions of primary energy spectra in the knee region

Abstract: The problem of the uniqueness of solutions during the evaluation of primary energy spectra in the knee region using an extensive air shower (EAS) data set and the EAS inverse approach is investigated. It is shown that the unfolding of primary energy spectra in the knee region leads to mutually compensative pseudo solutions. These solutions may be the reason for the observed disagreements in the elementary energy spectra of cosmic rays in the 1-100 PeV energy range obtained from different experiments.

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Cited by 8 publications
(12 citation statements)
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“…2. Even though the iteration unfolding algorithms for primary energy spectra [11,23,24] lead to plausible solutions, the spectral errors of the solutions, as it is shown in [22], are undetermined due to unavoidable inter-compensating pseudo solutions F A (E)+ g A (E) satisfying the condition…”
Section: Inverse Problemmentioning
confidence: 99%
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“…2. Even though the iteration unfolding algorithms for primary energy spectra [11,23,24] lead to plausible solutions, the spectral errors of the solutions, as it is shown in [22], are undetermined due to unavoidable inter-compensating pseudo solutions F A (E)+ g A (E) satisfying the condition…”
Section: Inverse Problemmentioning
confidence: 99%
“…for overall uncertainty of response function ∆f (U) made of statistical errors and uncertainties of interaction model [22]. The unfolding of all-particle spectrum F (E) = A F A (E) from Eq.…”
Section: Inverse Problemmentioning
confidence: 99%
See 1 more Smart Citation
“…11) detected by the GAMMA facility using shower core selection criteria θ < 30 0 and r < 50m [8,9]. We did not consider the H, He and O pulsar components to avoid a large number of unknown parameters and corresponding mutually compensative pseudo solutions [34] for the Galactic components.…”
Section: Possible Origin Of Irregularitiesmentioning
confidence: 99%
“…This only shows the difficulty in estimating primary masses from air shower experiments that rests on comparisons of data to EAS simulations with the latter requires hadronic interaction models as input which are still uncertain to a large extent at present. Moreover, the uniqueness of solutions of primary energy spectra in the knee region from EAS data is also questioned [79] . It is expected that the mass composition scenario predicted by the present model will motivate newer experiments, exploiting both e/m and optical techniques, to establish unambiguous cosmic ray mass composition in the knee region and in particular to confirm the KASCADE-Grande results including the Fe-knee.…”
Section: Discussionmentioning
confidence: 99%