Measurement of the secondary radionuclides ¹⁰Be, ²⁶Al, ³⁶Cl, ⁵⁴Mn, and ¹⁴C and implications for the galactic cosmic-ray age

We report on abundance measurements of ¹⁰Be, ²⁶Al, ³⁶Cl, and ⁵⁴Mn in the Galactic cosmic rays (GCRs) using the Cosmic-Ray Isotope Spectrometer (CRIS) instrument aboard the Advanced Composition Explorer spacecraft at energies from ∼70 to ∼400 MeV nucleon^-1. We also report an upper limit on the abundance of GCR ¹⁴C. The high statistical significance of these measurements allows the energy dependence of their relative abundances to be studied. A steady-state, leaky-box propagation model, incorporating observations of the local interstellar medium (ISM) composition and density and recent partial fragmentation cross section measurements, is used to interpret these abundances. Using this model, the individual galactic confinement times derived using data for each species are consistent with a unique confinement time value of τ_esc = 15.0 ± 1.6 Myr. The CRIS abundance measurements are consistent with propagation through an average ISM hydrogen number density n_H = 0.34 ± 0.04 H atoms cm^-3. The surviving fractions, f, for each radioactive species have been calculated. From predictions of the diffusion models of Ptuskin & Soutoul, the values of f indicate an interstellar cosmic-ray diffusion coefficient of D = (3.5 ± 2.0) × 10²⁸ cm² s^-1.