Title: ICRW, Aragats2007
 1GAMMA Experiment
Study of structure of the primary cosmic ray 
energy spectrum around the knee at energies 1  
100 PeV
R.Martirosov on behalf of the GAMMA collaboration
__________________________________________________
_____________ ICRW, Aragats-2007
XV ISVHECRI Paris 2008 
 2GAMMA experiment, Mt. Aragats, 3200m a.s.l., 
Armenia 
 3At present
- Surface part 
 - 33 stations on the five concentric circles with 
R  0, 18, 28, 50, 70 and 100 meters with 3 
scintillation detectors (S1m2) in each station. 
Total number (including 9 small detectors)  108  -  The area  3.14x104 m2 
 - - 33 timing channels for estimation of the EAS 
angular characteristics  - Underground part 
 - Carpet of muon detectors with total number  150 
and energy threshold Eµ gt 5 GeV)  
  4The shower size thresholds of the 100 efficiency 
are equal to Nch  3 x 105 and Nch  5 x105 at 
the EAS core location within R lt 25 m and R lt 50 
m respectively. The time delay is estimated by 
the pair-delay method to give the time resolution 
of about 4-5 ns. The EAS detection efficiency 
(Pd) and the corresponding shower parameter 
reconstruction errors are equal to Pd  100, 
 ??  1.50, ?Nch/ Nch  0.05-0.15, ?s  
0.05, ?x and ?y  0.7-1.0 m. The reconstruction 
errors of the truncated muon shower size for Rµ lt 
50 m from the shower core are equal to ?Nµ/ Nµ  
0.2-0.35 at Nµ  105-103 respectively.
The 
 5The simulated EAS data base
To obtain the parametric representation for the 
unbiased (d  1) energy estimator E1 of the 
primary energy E0 we simulated showers database 
using CORSIKA6031 EAS simulation code with the 
SIBYLL interaction model for H, He, O and Fe 
primary nuclei.
- Emax 5103 PeV 
 - ? lt 450 
 - Ee gt 1 MeV 
 - E? gt 150 MeV 
 - E? gt 4 GeV (e?)
 
SIBYLL2.1
N  4 x 1.5?104
11/23/2009
5 
 6Event-by-event analysis and All-Particle Energy 
Spectrum The best energy estimations were 
achieved for the 7-parametric fit
were x  Ln(Nch), y  Ln(N?), c  cos(? ), s is 
the shower age and energy E1 is in GeV. 
 7Verification
d  1 ? Dd(E)
The average biases versus energies (E  E0 and E 
 E1) of the primary proton (p), iron (Fe) and 
uniformly mixed p, He, O, Fe composition. The 
boundary lines corresponds to approximation ?? ? 
b/(EPeV)0.5 were b  0.10 and b  -0.17 for the 
upper and lower limits respectively. The shaded 
area corresponds to b  0.09 and b  - 0.15 and 
were used to estimate the errors for the 
reconstruction of the all-particle energy 
spectrum. 
 8Verification
sA(E)  s(E)
The dependence of standard deviation s(E0) of 
systematic errors of energy evaluation on 
primary energy E0 for 4 primary nuclei (p, He, O 
and Fe) and uniformly mixed composition Such 
high accuracies of the energy evaluation 
regardless of primary nuclei are a consequence of 
the high mountain location of the GAMMA facility 
(700 g cm-2), where the correlation of primary 
energy with the detected EAS size is about 
0.95-0.99. 
11/23/2009
8 
 9The E0-E1 scatter plot of simulated primary 
energy E0 and estimated energy E1(Nch, N?, s, ?) 
 10Zenith Angular Distribution
Rlt50m, ?lt450
The independent test of energy estimates can be 
done by detected zenith angle distributions which 
have to be isotropic for different energy 
thresholds. The lines correspond to simulated 
isotropic distributions with the same statistic. 
 11All-Particle Energy Spectrum
GAMMA05 R lt 25m Q lt 300 GAMMA07 R lt 50m Q lt 
450
 4 standard deviation at 7.4x107 GeV
The obtained energy spectrum agrees within errors 
with KASCADE, AKENO and TIBET-III data both in 
the slope and in the absolute intensity 
practically in the whole measurement range. 
 12Possible origin of irregularities 
 Irregularities of the all-particle energy 
spectrum in the knee region are observed by many 
others experiments and explained by both the 
rigidity-dependent knee hypothesis and 
contribution of pulsars in the Galactic cosmic 
ray flux for energy range (1-100)x106 GeV. As 
regards the observed bump at about (6-8)x107 GeV 
there are some other indications in 
KASCADE-Grande, TIBET-III and TUNKA experiments 
but with larger statistical uncertainties at 
level 1.5-2.0 standard deviation. It is 
reasonable to assume that an additional flux of 
heavy nuclei (Fe-like) is responsible for the 
bump at these energies. Besides, the sharpness of 
the bump points out the local origin of this flux 
from compact object (pulsar). We carried out 
the test of this hypothesis using the 
parameterized inverse approach on the basis of 
the GAMMA facility EAS database and the 
hypothesis of two-component origin of cosmic ray 
flux. 
 13EAS size spectra
Truncated muon size spectra
The folded (expected) shower spectra (filled 
symbols) were computed on the basis of 
parameterization and CORSIKA EAS simulated data 
set for H, He, O, Fe. You can see also the 
derived expected elemental shower spectra (lines) 
for primaries H, He, O, Fe. 
 14All-particle spectra and pulsar Fe component
Resulting expected energy spectra for the 
Galactic H, He, O and Fe nuclei (thin lines) 
along with the all-particle energy spectrum (bold 
line with shaded area.) The thick dash-dotted 
line corresponds to derived energy spectrum of 
the additional Fe component. The all-particle 
energy obtained on the basis of the GAMMA EAS 
data and the event-by-event multi-parametric 
energy evaluation method is also shown.
It is seen that the shape of the two-component 
all-particle spectrum (bold line with shaded 
area) calculated with parameters taken from the 
fit of EAS size spectra agrees within errors with 
results of the event-by-event analysis (symbol) 
that points out the consistency of applied 
spectral parameterization with GAMMA data. 
11/23/2009
14 
 15All-particle spectra and pulsar Fe component
The average logarithm primary nuclei mass number 
derived from rigidity-dependent primary spectra 
(so-called Galactic component, dashed line) and 
2-component model prediction taking into account 
additional pulsar component (solid line).
11/23/2009
15 
 16CONCLUSION
-  Multi-parametric event-by-event energy 
evaluation method  - provided high accuracies (10-15) for energy 
evaluation of  -  primary nuclei regardless of nuclei mass number 
in 5-200 PeV  - energy region
 
- All-particle energy spectrum are obtained using 
GAMMA facility EAS database. The all-particle 
spectrum in the range of statistical and 
methodical errors agrees with the same spectrum 
obtained using EAS inverse approach in 5-70 PeV 
energy region.  - High accuracies of energy evaluations and small 
statistical errors point out to the existence of 
explicit irregularity (bump) of energy spectrum 
in the 70-80 PeV region. 
- The bump can be associated with an additional 
Fe-component  -  from magnetosphere of pulsars. 
 
  17- These results are available on 
 - Journal of Physics G Nuclear Part. 35 (2008) 
115201  - Poster presented by Alexandr Garyaka on this 
Symposium  - Primary cosmic ray energy spectrum in terms of 
the  - GAMMA muon data 
 - We hope for confirmation from other experiments 
 - KASCADE-Grande, Tibet-III, GRAPES-III and others
 
  18GAMMA Experiment
COLLABORATION
ARMENIA Yerevan Physics Institute R.Martirosov, 
A.Garyaka RUSSIA Moscow Lebedev 
Institute A.Erlykin, N.Nikolskaya USA L.Jones, 
University of Michigan S.Ter-Antonyan, Southern 
University, Baton Rouge France Y.Gallant, 
University of Montpellier J.Procureur, University 
of Bordeaux
11/23/2009 
 19GAMMA TEAM
GAMMA Experiment
Thanks
http//gamma.yerphi.am 
 20(No Transcript) 
 21GAMMA Experiment
TUNKA experiment 
 22Sharpness of the knee
?1  2.7
?2  3.2
E2.7?F(E)
?  2
?  4-5
Polar Cap Component
Outer Gap Component MHD acceleration
1
E, PeV