Mass composition of primary cosmic rays at energies of 1-1000 PeV
according to data of experiment ”Pamir”
*
V.S.Puchkov, A.S.Borisov, Z.M.Guseva, V.G.Denisova, E.A.Kanevskaya, V.M.Maximenko,
S.E.Pyatovsky, S.A.Slavatinsky
P.N.Lebedev Physical Institute of RAS, Leninsky Prospect, 53, Moscow, 119991, Russia
Experimental data obtained with X-ray emulsion chambers by the ”Pamir” collaboration are compared with
calculations using the code MC0 of the quark-gluon-string model. The best fit to the experimental data is attained
assuming that the primary cosmic ray (PCR) mass composition in the PCR energy range 10
15
- 10
17
eV becomes
slowly enriched with heavy nuclei, so that the proton fraction decreases from 33% at E0 = 10
15
eV to 20% at
E0 = 10
17
eV. To bring model calculations in agreement with experimental data at PCR energy E0 = 10
17
- 10
18
eV it is necessary to assume a rapid increase of the proton fraction in PCR composition and a possible change of
slope exponent of the PCR energy integral spectrum from γ = 2.05 to γ = 1.65.
1. Introduction
Recently some authors argued that the knee
in the energy spectrum of primary cosmic rays
(PCR) may be explained in the framework of the
diffusion model of PCR propagation [1–3]. The
important point of these works is the conclusion
that in the PCR energy range E
0
= 10
15
- 10
17
eV the fraction of protons and α-particles be-
comes vanishingly small. This conclusion is de-
rived from comparison of experimental data on
EAS with simulations on the basis of the QGS
Jet model by KASKADE [1] or similar Cosmos
model by the Tibet group [2]. But this conclusion
is in contradiction with results of the Experiment
”Pamir” obtained using X-ray emulsion chambers
(XREC). Our previous analysis [4,5] of gamma-
families with total energy release in the XREC
ΣE
γ
≥ 500 TeV with halo accompaniment gave
evidence for a comparatively large fraction of pro-
tons and α-particles (no less than 30% at E
0
=
10
16
eV). Here we continue the analysis based on
comparison of experimental data with simulations
by different versions of quark-gluon-string model
which satisfactorily reproduce the main features
of gamma-families with ΣE
γ
= 100 - 400 TeV.
*
This work is supported by Russian Foundation for Basic
Research, project 03-02-17465.
Calculations by MC0 and QGSJet codes show
that ∼ 90% of halo events are generated by pro-
tons and α-particles with E
0
≥ 10
16
. Calcula-
tions under the assumption that protons and α-
particles in the PCR composition at E
0
≥ 10
16
eV
are absent and substituted by CNO nuclei result
in a decrease of flux of halo events by a factor of 3-
5. But this is inconsistent with the experimental
data. Analysis of the average EAS age in Ref. [6]
lead to the conclusion that at E
0
= 10
15
-10
16
eV
the proton fraction at least does not decrease. Ac-
cording to data from the RUNJOB collaboration
[7], the proton fraction in the PCR at E
0
=4·10
14
eV is also substantial and constitutes (30-40)%
while exponents of energy spectra of protons and
all PCR particles are close at E
0
= 10
14
- 10
15
eV.
PCR particles with E
0
≥ 10
16
eV are not only
responsible for the production of gamma-families
with ΣE
γ
≥ 500 TeV but as well contribute ap-
preciably to the production of gamma-families
with ΣE
γ
≥ 100 TeV. The disappearence of pro-
tons and α-particles in the PCR composition with
growth of energy should result in a decrease of the
number of events with large values of ΣE
γ
and,
consequently, a steeper ΣE
γ
spectrum of gamma-
families.
In this work the differential ΣE
γ
spectrum for
Nuclear Physics B (Proc. Suppl.) 151 (2006) 236–239
0920-5632/$ – see front matter © 2005 Published by Elsevier B.V.
www.elsevierphysics.com
doi:10.1016/j.nuclphysbps.2005.07.066