Kascade LDF

Effective electron moliere radius as a function of total electron number:

Re = 73.9149 - 16.8929 log Ne + 1.40443 (log Ne)^2

Change in Re(theta)/Re(0) with sec(theta):

dk/dsec(theta) = 74.1192 - 68.2018 log Ne + 23.0089 (log Ne)^2 - 3.37267 (log Ne)^3 + 0.182110 (log Ne)^4

Age parameter s for muons as a function of truncated muon number:

s(rm=420) = 1.70844 - 0.0944056 log Nm

Age parameter s for muons as a function of secant theta:

s(rm=420) = 0.862176 + 0.452747 sec(theta)

Combined: s = 1.330856 - 0.0944056 (log Nm - 4) + 0.452747 (sec(theta-15))


Particle number as a function of energy, from:

Electron number as a function of energy, QGSJet:

QGSJet: logNe = -2.89080 + 1.22251 log (E/GeV)

Electron number as a function of energy, Sibyll:

Sibyll: logNe = -3.09480 + 1.27513 log (E/GeV)

Muon number as a function of energy, QGSJet:

QGSJet: logNm = -1.88274 + 0.908129 log (E/GeV)

Muon number as a function of energy, Sibyll

Sibyll: logNm = -1.86330 + 0.897224 log (E/GeV)

KASCADE LDF, to 1000m, for log E = 5 + . 25i GeV

KASCADE LDF, to 250m, for log E = 5 + .25i GeV

KASCADE electron LDF, to 1000m, for log Ne = 4.1 + .4i

KASCADE electron LDF, to 200m, for log Ne = 4.1 + .4i

Compare: