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One of the fundamental issues in cosmic ray physics is to explain the natureof cosmic ray acceleration and propagation mechanisms. Thanks to the precisecosmic ray data measured by recent space experiments, we are able toinvestigate the cosmic ray acceleration and propagation models morecomprehensively and reliably. In this paper, we combine thesecondary-to-primary ratios and the primary spectra measured by PAMELA, AMS02,ACE-CRIS and Voyager-1 to constrain the cosmic ray source and transportparameters. The study shows that the $Z>2$ data yield a medium-energy diffusionslope $\delta_{2}\sim\left(0.42, 0.48\right)$ and a high-energy slope$\delta_{3}\sim\left(0.22, 0.34\right)$. The $Z\leq2$ species obtain a looserconstraint on $\delta_{2}\sim\left(0.38, 0.47\right)$, but a tighter constrainton $\delta_{3}\sim\left(0.21, 0.30\right)$. The overlaps infer that the heavyand light particles can give compatible results at medium to high energies.Besides, both the light and heavy nuclei indicate a consistent diffusion slopevariation $\Delta\delta_{H}$ around $200\sim300$~GV. At low energies,significant disagreements exist between the heavy and light elements. The B/Cratio requires a much larger diffusion slope shift $\Delta\delta_{L}$ around 4GV or a stronger \textit{Alfv$\acute{e}$n velocity} $v_{A}$ than the low-massdata. This indicates that the heavy and light particles may suffer differentlow-energy transport behaviors in Galaxy. However, better understanding on theconsistency/inconsistency between the heavy and light cosmic rays relies onmore precise cross-sections, better constraints on correlations in systematicerrors of data, more accurate estimation on Galaxy halo size and more robustdescription for Solar modulation during the reversal period of HMF.

Testing the consistency of proapgation between light and heavy cosmic ray nuclei