The comparative spectra of cosmic-ray protons and helium nuclei

We have re-examined and extended the measurements of the primary cosmic ray proton and helium nuclei intensities in the range from a few MeV nuc−1 to ∼100 GeV nuc−1 using a considerable body of recently published data. The differential spectra obtained from this data are determined as a function of both energy and rigidity. The exponents of the energy spectra of both protons and helium nuclei are found to be different at the same energy/nucleon and to increase with increasing energy between 1 and 100 GeV nuc−1 reaching a value=−2.70 at higher energies and in addition, theP/He ratio changes from a value ≲5 at 1 GeV nuc−1 and below to a value ∼30 at 100 GeV nuc−1. On a rigidity representation the spectral exponent for each species is nearly identical and remains virtually constant above several GV at a value of −2.70, and in addition, theP/He ratio is also a constant ∼7 above ∼3 GeV. The changingP/He ratio and spectral exponent on an energy representation occur at energies well above those at which interplanetary modulation effects or interstellar ionization energy loss effects can significantly affect the spectra. In effect by comparing energy spectra and rigidity spectra in the intermediate energy range above the point where solar modulation effects and interstellar energy loss effects are important, but in the range where there are significant differences between energy and rigidity spectra, we deduce that the cosmic ray source spectra are effectively rigidity spectra. This fact has important implications regarding the mechanism of acceleration of this radiation and also with regard to the form of the assumed galactic spectrum at low energies. The relationship between the proton and helium spectra derived here and the heavier nuclei spectral differences recently reported in the literature is also examined.If rigidity spectra are adopted for protons and helium nuclei, then the source abundance ratio of these two components is determined to be ∼7:1. Some cosmological implications of this ratio are discussed.

[1]  W. Webber,et al.  Evidence for differences in the energy spectra of cosmic ray nuclei. , 1973 .

[2]  J. Simpson,et al.  COSMIC-RAY SOURCE AND LOCAL INTERSTELLAR SPECTRA DEDUCED FROM THE ISOTOPES OF HYDROGEN AND HELIUM. , 1972 .

[3]  E. Júlíusson,et al.  Composition of cosmic-ray nuclei at high energies. , 1972 .

[4]  S. Damle,et al.  Rigidity Spectrum of Helium Nuclei above 17 GV and a Search for High Energy Anti-nuclei in Primary Cosmic Rays , 1972 .

[5]  M. Apparao,et al.  On the relative characteristics of proton and helium spectrums in primary cosmic radiation , 1964 .

[6]  J. Ormes,et al.  Charge Dependence of the Energy Spectra of Cosmic Rays , 1973 .

[7]  S. Ramadurai,et al.  Production and propagation of cosmic ray H2 and He3 nuclei , 1974 .

[8]  Enrico Fermi,et al.  On the Origin of the Cosmic Radiation , 1949 .

[9]  J. Simpson,et al.  Galactic deuterium and its energy spectrum above 20 Mev per nucleon. , 1966 .

[10]  R. Cowsik,et al.  Steady State of Cosmic-Ray Nuclei-Their Spectral Shape and Path Length at Low Energies , 1967 .

[11]  J. Hirshberg Helium abundance of the Sun , 1973 .

[12]  G. Gloeckler,et al.  Physical basis of the transport and composition of cosmic rays in the Galaxy. , 1969 .

[13]  S. Ramadurai The effect of ionisation loss on the energy spectra of cosmic ray nuclei undergoing fermi acceleration , 1967 .

[14]  R. Harris Leukaemia Antigens and Immunity in Man , 1973, Nature.

[15]  E. Parker Origin and Dynamics of Cosmic Rays , 1958 .

[16]  M. Meneguzzi Energy Dependence of Primary Cosmic Ray Nuclei Abundance Ratios , 1973 .

[17]  E. Boldt,et al.  Low-Energy Spectrum of Cosmic Rays as an Indicator of Primary Source Characteristics and Interstellar Propagation , 1965 .

[18]  G. Smoot,et al.  A measurement of cosmic-ray rigidity spectra above 5 GV/c of elements from hydrogen to iron. , 1973 .

[19]  C. Fichtel,et al.  Composition of solar cosmic rays , 1965 .

[20]  G. Gloeckler,et al.  Solar modulation and the energy density of galactic cosmic rays. , 1967 .

[21]  I. H. Urch,et al.  Galactic cosmic ray modulation from 1965–1970 , 1972 .

[22]  J. Ormes,et al.  A comparison of the energy spectra of cosmic ray helium and heavy nuclei , 1969 .

[23]  C. Fichtel,et al.  Solar modulation of cosmic rays and its relationship to proton and helium fluxes, interstellar travel, and interstellar secondary production , 1967 .

[24]  D. Wentzel FERMI ACCELERATION OF SOLAR COSMIC RAYS , 1965 .

[25]  J. Ormes,et al.  Cosmic ray proton and helium spectra above 50 GeV , 1971 .

[26]  W. Webber,et al.  Solar modulation of cosmic ray protons, helium nuclei, and electrons: A comparison of experiment with theory , 1971 .

[27]  J. Ormes,et al.  Cosmic Ray Sources: Evidence for Two Acceleration Mechanisms , 1973, Science.

[28]  J. Ormes,et al.  Results on the energy dependence of cosmic-ray charge composition , 1973 .

[29]  L. Fisk,et al.  Energy loss of cosmic rays in the interplanetary medium , 1970 .

[30]  C. Cesarsky,et al.  Mean path length of high energy galactic cosmic rays in the galactic disk. , 1973 .