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Table 3:

Upper limits on the ratio of energy in the non-thermal component with respect to the thermal energy of the ICM ( $E_{\rm nonth}/E_{\rm th}$) for different spatial distributions of the CRs in the cluster. All numbers are given for a radius of 1 Mpc with the exception of the numbers for the 95% containment radius (see main text). The uncertainties on the values given in this table is about 40% due to the errors in the X-ray and gamma-ray observations.
    Abell 496 Abell 85
spectral spatial $E_{\rm nonth}/E_{\rm th}$  
index $\Gamma_{\gamma}$ distribution of CRs    
2.1 constant 1.12* 0.15
  $\beta$ model 0.51$^{\ } $ 0.08
  CC included 0.40$^{\ } $ 0.06
2.3 constant 5.66* 0.75
  $\beta$ model 2.56* 0.40
  CC included 2.03* 0.30
2.1 CC included    
  95% containment    
  radius 0.40$^{\ } $ 0.03
*A value of $E_{\rm nonth}/E_{\rm th} > 1$ means that the energy of the non-thermal component exceeds the energy of the thermal component. This configuration is unrealistic since it would require that shocks are more efficient in accelerating particles than in heating up the shocked medium. Therefore, the presented observations can not constrain any models for such a case.

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