Particle acceleration and multi-messenger radiation from ultra-luminous X-ray sources - A new class of Galactic PeVatrons

Open Access

Table 2.

Maximum proton energy (in PeV) attained at wind TS assuming an age of 1 Myr.

l_{c,−2/−1/0}	$V_{w, 4} {\dot{M}}_{- 6}$ $V_{w,4} \, \dot {M}_{-6}$	$V_{w, 4} {\dot{M}}_{- 5}$ $V_{w,4} \, \dot {M}_{-5}$	$V_{w, 5} {\dot{M}}_{- 6}$ $V_{w,5} \, \dot {M}_{-6}$	$V_{w, 5} {\dot{M}}_{- 5}$ $V_{w,5} \, \dot {M}_{-5}$
ϵ_B=0.1	.4/.5/.07	1/2/.5	6/18/27	14/41/86
ϵ_B=0.03	.2/.3/.04	.6/1/.2	3/10/15	8/23/50
ϵ_B=0.01	.1/.2/.02	.3/.6/.1	1.5/4/6	4/13/28

Notes. The table is organized as follows. Each cell contains three values corresponding to different assumptions in the coherence length, as indicated in the top left corner. Different rows report different values of ϵ_B, while different columns report different combinations of wind speed and mass-loss rate.

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