Energy-dependent cosmic-ray diffusion coefficient in the interstellar medium

Determine the functional form, normalization, and energy dependence of the interstellar cosmic-ray diffusion coefficient D(E) in the local interstellar medium to enable accurate modeling of diffused supernova-accelerated cosmic-ray spectra and resulting radiation dose profiles for generation ships.

Background

When computing the diffused spectrum of supernova-origin cosmic rays, the authors solve a diffusion equation and must specify the diffusion coefficient D(E). They highlight that D(E) is poorly constrained and adopt a first-order power-law approximation with a tunable index δ for their simulations.

Tighter empirical or theoretical constraints on D(E) are needed to reduce uncertainty in predicted radiation exposures from supernovae and to improve risk assessments for multi-generational spacecraft traversing interstellar space.

References

The diffusion coefficient D(E) is not well known, but a first-order approximation can be given by:

Genetic evolution of a multi-generational population in the context of interstellar space travels -- Part II: Phenotypic effects of gene expression  (2502.07559 - Marin et al., 11 Feb 2025) in Section 3.5, subsubsection "Diffused spectrum" (Scenario 5: supernovae)

The origin of this common softening in the rigidity spectra of primary CRs remains open.

From DAMPE to LHAASO: Rigidity Scales and Composition Changes in Galactic Cosmic Rays  (2609.08109 - Liu et al., 8 Sep 2026) in Discussion of the common softening in the main text

However, it remains to be established whether this can be achieved in the neutral gas region near the edge of Westerlund 1 superbubble.

Extended gamma-ray emission in the vicinity of the Westerlund 1 massive star cluster and Kes 41 supernova remnant seen by the Fermi Large Area Telescope  (2609.10176 - Tibaldo et al., 9 Sep 2026) in Appendix, Section 7, Particle transport and energy loss timescales