Thickness of the particle swarm in cosmic ray air showers

The average dispersion in arrival time of air shower particles detected with a scintillator at an impact parameter r is described with accuracy 5-10% by the empirical formula sigma = Sigma sub to (1+r/r sub t) sup b, where Sigma sub to = 2.6 ns, r sub t = 30m and b = (1.94 + or - .08) (0.39 + or - .06) sec Theta, for r 2 km, 10 to the 8th power E 10 to the 11th power GeV, and Theta 60 deg. (E is the primary energy and theta is the zenith angle). The amount of fluctuation in sigma sub t due to fluctuations in the level of origin and shower development is less than 20%. These results provide a basis for estimating the impact parameters of very larger showers with data from very small detector arrays (mini-arrays). The energy of such showers can then be estimated from the local particle density. The formula also provides a basis for estimating the angular resolution of air shower array-telescopes

Mini and super mini arrays for the study of highest energy cosmic rays

The chief difficulty in studying the highest energy cosmic rays is the extremely low intensity, only approximately 5 particles per sq km sr century above 10 to the 20th power eV. Instead of attacking the problem by assembling all of the available resources in one place, as has been done in the past, a way that the task can be performed at much less cost per unit sensitive area is suggested, by using numerous inexpensive mini arrays operating independently of each other. In addition to the quantities usually observed, each mini array will record shower particle arrival time distributions. At 10 to the 20th power eV the saving in cost per primary particle is estimated to be a factor of 10 or better, compared to methods now in use, even for mini arrays newly built from scratch for just this purpose

Sub-luminal pulses from cosmic ray air showers

Some of the signals produced by air showers in scintillators possess a distinctive feature, a sub-luminal pulse (SLP) following the normal one with a time delay of approximately 1.5 r/c. The average amplitude of the SLP corresponds to an energy deposit of about 50 MeV, three times as much as is deposited in a typical scintillator by vertical minimum ionizing muons. The SLP account for approximately 5% of the energy deposited in the atmosphere by IR showers with energy 10 to the 10th power GeV at impact parameters 1 km. Assuming that these pulses are due to neutrons travelling with a speed slightly less than c, they provide a unique means of estimating E sub h, the energy deposited by slow hadrons, in showers of this very high energy. On the other hand, if not allowed for properly, these pulses are liable to cause errors in estimating the impact parameters of large showers from pulse width observations

Detection of 10 (10) GeV Cosmic Neutrinos with a Space Station

The potential value of SOCRAS (Space Observatory of Cosmic Ray Air Showers) for studying the highest energy cosmic rays, including the neutrinos produced in collisions of cosmic ray protons with photons of the 3 deg background radiation is examined. This instrument would look down at the atmosphere from a space station orbiting the Earth at an altitude of 500 to 600 km. During the night portion of each orbit, air showers would be imaged in the fluorescent light they produce. Progress toward the eventual realization of this scheme is described, including a suggestion by Torii for improving the vertical resolution, measurements of the terrestrial background light by Halverson, and especially an application of the LPM effect, expected to increase the sensitivity for upward moving neutrinos by several orders of magnitude

Angular resolution of air-shower array-telescopes

A fundamental limit on the angular resolution of air shower array-telescopes is set by the finite number of shower particles coupled with the finite thickness of the particle swarm. Consequently the angular resolution which can be achieved in practice depends in a determinant manner on the size and number of detectors in an array-telescope, as well as on the detector separation and the timing resolution. It is also necessary to examine the meaning of particle density in whatever type of detector is used. Results are given which can be used to predict the angular resolution of a given instrument for showers of various sizes, and to compare different instruments

Longitudinal trial functions and the cosmic ray energy scale

Formulae which were proposed to represent the longitudinal profiles of cosmic ray air showers are compared, and the physical interpretation of their parameters is examined. Applications to the problem of energy calibration are pointed out. Adoption of a certain especially simple formula is recommended, and its use is illustrated

Standard value for the radiation length in air

The radiation length in air, was studied. Calculations were finished and give new values for t sub o in atomic oxygen and nitrogen which are entirely free of dependence on the Thomas-Fermi approximate model. With the usual small corrections for atmospheric A and CO2, these give t sub o air = 37.15 g cm/2, in close agreement with a value recommended, but in contrast to t sub o air = 36.66 g cm/2 obtained using the Thomas-Fermi approximation

New calorimetric all-particle energy spectrum

Both the maximum size N sub m and the sea level muon size N sub mu have been used separately to find the all-particle energy spectrum in the air shower domain. However the conversion required, whether from N sub m to E or from N sub mu to E, has customarily been carried out by means of calculations based on an assumed cascase model. It is shown here that by combining present data on N sub m and N sub mu spectra with data on: (1); the energy spectrum of air shower muons and (2) the average width of the electron profile, one can obtain empirical values of the N sub m to E and N sub mu to E conversion factors, and an empirical calorimetric all-particle spectrum, in the energy range 2 x 10 to the 6th power E 2 x 10 to the 9th power GeV

Astrophysical applications of high angular resolution array-telescopes

The air shower array-telescopes which are currently being used to search for and study point sources of UHE gamma-rays have angular resolution similar to 1 deg, limited by either the small total area of particle detectors or poor timing resolution. As the signal to noise ratio depends sensitively on the angular resolution, it seems certain that this figure will quickly be surpassed when second generation instruments come into operation. Since the trajectories of galactic cosmic rays with E 100,000 GeV are practically straight lines on scales of 1 A.U. or less, these new instruments will be able to observe a shadow cast by the Moon (angular diameter 0.5 deg). Although the angular diameter of the Sun is practically the same, its shadow will be more complex because of its magnetic field. Thus, high angular resolution observations of the Sun afford a means of investigating the solar magnetic field, and also the charge composition of cosmic rays, including the ratio of antiprotons to protons

Implications of the experimental results on high energy cosmic rays with regard to their origin

It was shown in an earlier report that current cosmic ray evidence supports a change in the cosmic ray composition in the region between 10 to the 6th power and 10 to the 8th power GeV total energy in the direction of a smaller average value of A. Compared to normal celestial abundances, the heavy nuclei are much less abundant, and, in fact, the composition measurements above 10 to the 8th power GeV are consistent with there being only protons. Here, these results combined with those of the energy spectrum and anisotropy of the comsic rays and other astrophysical information will be examined to try to determine their implications for the origin of the cosmic rays. In this paper, consideration is given to the implications of one or more than one type of source in the galaxy to see which are consistent with the interpretation of current measurements. The nature of the source types that would be required are discussed