We have made a new calculation of the cosmic-ray secondary positron spectrum
using a diffusive halo model for Galactic cosmic-ray propagation. The code
computes self-consistently the spectra of primary and secondary nucleons,
primary electrons, and secondary positrons and electrons. The models are first
adjusted to agree with the observed cosmic-ray Boron/Carbon ratio, and the
interstellar proton and Helium spectra are then computed; these spectra are
used to obtain the source function for the secondary positrons/electrons which
are finally propagated with the same model parameters. The primary electron
spectrum is evaluated, again using the same model. Fragmentation and energy
losses are computed using realistic distributions for the interstellar gas and
radiation fields, and diffusive reacceleration is also incorporated. Our study
includes a critical re-evaluation of the secondary decay calculation for
positrons.
The predicted positron fraction is in good agreement with the measurements up
to 10 GeV, beyond which the observed flux is higher than that calculated. Since
the positron fraction is now accurately measured in the 1-10 GeV range our
primary electron spectrum should be a good estimate of the true interstellar
spectrum in this range, of interest for gamma ray and solar modulation studies.
We further show that a harder interstellar nucleon spectrum, similar to that
suggested to explain EGRET diffuse Galactic gamma ray observations above 1 GeV,
can reproduce the positron observations above 10 GeV without requiring a
primary positron component.Comment: 25 pages including 8 figures and 1 table, latex, aaspp4.sty. To be
published in ApJ 1998, v.493 (February 1 issue). Details can be found at
http://www.gamma.mpe-garching.mpg.de/~aws/aws.htm