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Page 1: Low-Energy Interaction Models in CORSIKA

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

Page 2: Low-Energy Interaction Models in CORSIKA

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

Page 3: Low-Energy Interaction Models in CORSIKA

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

Page 4: Low-Energy Interaction Models in CORSIKA

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

Page 5: Low-Energy Interaction Models in CORSIKA

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

Page 6: Low-Energy Interaction Models in CORSIKA

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

Page 7: Low-Energy Interaction Models in CORSIKA

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

Page 8: Low-Energy Interaction Models in CORSIKA

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

Page 9: Low-Energy Interaction Models in CORSIKA

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

Page 10: Low-Energy Interaction Models in CORSIKA

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

Page 11: Low-Energy Interaction Models in CORSIKA

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

Page 12: Low-Energy Interaction Models in CORSIKA

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

Page 13: Low-Energy Interaction Models in CORSIKA

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

Page 14: Low-Energy Interaction Models in CORSIKA

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

Page 15: Low-Energy Interaction Models in CORSIKA

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

Page 16: Low-Energy Interaction Models in CORSIKA

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)

Page 17: Low-Energy Interaction Models in CORSIKA

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

Page 18: Low-Energy Interaction Models in CORSIKA

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

Page 19: Low-Energy Interaction Models in CORSIKA

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

Page 20: Low-Energy Interaction Models in CORSIKA

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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