Low-Energy Interaction Models in CORSIKA Dieter Heck, Ralph Engel Forschungszentrum Karlsruhe,...

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Low-Energy Interaction Models in CORSIKA

Dieter Heck, Ralph Engel

Forschungszentrum Karlsruhe, Germany

Giuseppe Battistoni, Alberto Fassò,

Alfredo Ferrari, Johannes Ranft, and Paola R. Sala

ICRC 2003, Tsukuba, Japan

Motivation and Outline

shower observables sensitive to both low- and high-energy hadronic interactions

FLUKA 2002 as alternative hadronic interaction model implemented

new correction patches available for GHEISHA (R.E. Cassell and G. Bower, SLAC)

comparison of model predictions to low-energy data

calculation of influence on EAS predictions

R. Engel, ICRC 2003, Tsukuba, Japan

Comparison to low-energy p-Be data (1)

R. Engel, ICRC 2003, Tsukuba, Japan

double-differential data integrated PLB

472 (2000) 113

uncertainties: inter- and extrapolation

GHEISHA: multiplicity too low

QGSJET: multiplicity too high

Comparison to low-energy p-Be data (2)

R. Engel, ICRC 2003, Tsukuba, Japan

double-differential data integrated PLB

472 (2000) 113

uncertainties: inter- and extrapolation

very limited amount of data available

Comparison to low-energy p-C data

R. Engel, ICRC 2003, Tsukuba, Japan

fully inclusive measurements

positive pions difficult to measure

energy below Feynman scaling region

Cross-check: p-N predictions

R. Engel, ICRC 2003, Tsukuba, Japan

predictions similar to p-Be and p-C

QGSJET: higher multiplicity than FLUKA

GHEISHA: lower multiplicity than FLUKA

R. Engel, ICRC 2003, Tsukuba, Japan

example: multiplicity of p-p interactions

default transition energy: Elab = 80 GeV

similar results for charged kaons

Transition: low- and high energy models

80 GeV

R. Engel, ICRC 2003, Tsukuba, Japan

vertical proton induced showers

significant change in baryon energy spectrum

strong model dependence of lateral distribution

EAS predictions: baryon distributions

R. Engel, ICRC 2003, Tsukuba, Japan

vertical proton- induced showers

very small changes in longitudinal profile

differences of same order as statistical fluctuations

EAS predictions: longitudinal shower profile

R. Engel, ICRC 2003, Tsukuba, Japan

R. Engel, ICRC 2003, Tsukuba,

QGSJET: dependence on low-energy model and threshold

SIBYLL: dependence on threshold

difference between QGSJET and SIBYLL bigger than low-energy model dependence

EAS predictions: muon energy spectrum

R. Engel, ICRC 2003, Tsukuba, Japan

R. Engel, ICRC 2003, Tsukuba, Japan

vertical proton showers

partial cancellation of low-energy model dependence

differences between high-energy models dominate

R. Engel, ICRC 2003, Tsukuba, Japan

Integral muon energy spectrum

R. Engel, ICRC 2003, Tsukuba, Japan

vertical proton- induced showers

Eµ > 300 MeV

changes at small and large lateral distances

changes compatible with energy spectra

R. Engel, ICRC 2003, Tsukuba, Japan

EAS predictions: muon lateral distribution

R. Engel, ICRC 2003, Tsukuba, Japan

vertical proton showers, E = 1019 eV

Eµ > 150 MeV Ee > 250 keV

drastic changes at large lateral distance

see also talk by H.J. Drescher

EAS predictions at Auger energies

R. Engel, ICRC 2003, Tsukuba, Japan

R. Engel, ICRC 2003, Tsukuba, Japan

vertical proton showers, E = 1019 eV

Eµ > 150 MeV Ee > 250 keV

drastic changes at large lateral distance

see also talk by H.J. Drescher

R. Engel, ICRC 2003, Tsukuba, Japan

EAS predictions at Auger energies

R. Engel, ICRC 2003, Tsukuba, JapaR. Engel, ICRC 2003, Tsukuba, Japan

Summary and outlook

significant differences between low-energy models

FLUKA gives best description of low-energy data

strong effect on hadronic distributions

no effect on longitudinal shower profiles

muonic observables sensitive to low-energy model:

change of muon energy spectrum

cancellation: small change of total muon number

drastic change of lateral distributions at high energy

R. Engel, ICRC 2003, Tsukuba, JapaR. Engel, ICRC 2003, Tsukuba, Japan

References

D. Heck et al., Report FZKA 6019 (1998), Forschungszentrum Karlsruhe; http://www-ik.fzk.de/

A. Fassò, A. Ferrari, J. Ranft, P.R. Sala: FLUKA: Status and Prospective of Hadronic Applications, Proc. Monte Carlo 2000 Conf., Lisbon, Oct. 23-26, 2000, A. Kling et al. eds., Springer (Berlin) 955 (2001); http://www.fluka.org/

H. Fesefeldt, Report PITHA-85/02 (1985), RWTH Aachen

R.E. Cassell and G. Bower (SLAC), private communication (2002)

R. Engel, ICRC 2003, Tsukuba, JapaR. Engel, ICRC 2003, Tsukuba, Japan

Kaon multiplicity in p-p interactions

GHEISHA: multiplicity too low

SIBYLL and neXus similar

R. Engel, ICRC 2003, Tsukuba, JapaR. Engel, ICRC 2003, Tsukuba, Japan

GHEISHA: differences at large lateral distances

lateral distributions almost threshold independent

Pion and muon lateral distribution

R. Engel, ICRC 2003, Tsukuba, JapaR. Engel, ICRC 2003, Tsukuba, Japan

dependence on low-energy model small

differences comparable to statistical error

Lateral distribution of electrons

R. Engel, ICRC 2003, Tsukuba, JapaR. Engel, ICRC 2003, Tsukuba, Japan

strong dependence on model

strong dependence on threshold

Lateral distribution of neutrons

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