Constraining cosmic rays and magnetic fields in the Perseus galaxy cluster with TeV observations by the MAGIC telescopes

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Table 2

Constraints on CR-to-thermal pressure ratio.

α	X_CR,max [%]	X_CR,min [%]	X_CR,max/X_CR,min


2.1	0.77	0.42	1.8	7.4
2.2	1.12	0.35	3.2	4.3
2.3	2.17	0.38	5.7	2.4
2.5	11.6	0.67	17.3	0.8

Notes. Constraints on CR-to-thermal pressure ratio in the Perseus cluster core, X_CR,max, which is assumed to be constant in the simplified analytical model. Those constraints are compared to minimum CR-to-thermal pressure ratios, X_CR,min, and minimum gamma-ray fluxes in the hadronic model of the Perseus radio mini-halo.

^(a)

Minimum gamma-ray flux in the hadronic model of the Perseus radio mini-halo, F_γ,min( > 1 TeV), in units of 10^-14 cm^-2 s^-1.

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