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		| Paper: | The Physical Basis of the LX = Lbol Empirical Law for O-Star X-Rays |  
		| Volume: | 465, Four Decades of Massive Star Research - A Scientific Meeting in Honor of Anthony J. Moffat |  
		| Page: | 153 |  
		| Authors: | Owocki, S. P.; Sundqvist, J. O.; Cohen, D. H.; Gayley, K. G. |  
		| Abstract: | X-ray satellites since Einstein have empirically established that the
 X-ray luminosity from single O-stars scales linearly with bolometric
 luminosity, LX = 10–7 Lbol.  
 But straightforward forms of the most
 favored model, in which X-rays arise from instability-generated shocks
 embedded in the stellar wind, predict a steeper scaling, either with
 mass-loss rate LX = M = Lbol1.7
 if the shocks are radiative, or
 with LX = M2 = Lbol3.4 if they are adiabatic.
 We present here a
 generalized formalism that bridges these radiative vs. adiabatic
 limits in terms of the ratio of the shock cooling length to the local radius.
 Noting that the thin-shell instability of radiative shocks should lead
 to extensive mixing of hot and cool material, we then propose that the
 associated softening and weakening of the X-ray emission can be parameterized
 by the cooling length ratio raised to a power m, the “mixing
 exponent".  
 For physically reasonable values m ≈ 0.4, this leads to 
 an X-ray luminosity LX = M0.6 = Lbol
 that matches the empirical scaling. 
 We conclude by noting that
 such thin-shell mixing may also be important
 for X-rays from colliding wind binaries, 
 and that
 future
 numerical simulation studies will be needed to test this thin-shell mixing
 ansatz for X-ray emission. |  
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