Table 5: Upper limits on the CRp scaling parameter $X_{\rm CRp}$ inferred from radio brightness profiles of the radio mini-halo of Perseus cluster for different values of B0, $\alpha _B$, and $\alpha _{\rm p}$.
Model $\alpha _{\rm p}$ $B_0~[\mu \mbox{G}]$ $\alpha _B$ $X_{\rm CRp}^{\rm isobaric}$ $X_{\rm CRp}^{\rm adiabatic}$
1 2.3 10 0.5 0.016 0.006
2 2.1 10 0.5 0.014 0.005
3 2.5 10 0.5 0.033 0.011
4 2.7 10 0.5 0.096 0.031
5 2.3   5 0.5 0.027 0.009
6 2.3 20 0.5 0.012 0.004
7 2.3 10 0.7 0.017 0.006
8 2.3 10 0.9 0.019 0.006


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