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Strong coronal shocks and ‘thermal’ solar X-ray bursts

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I find that a one-dimensional strong coronal shock (M s ⩾ 3) will grow outward until the Mach number (M s ) ceases to increase with height (dM s /dh = 0). The shock is driven by the pressure gradient and it is damped by gravity and by energy losses (radiative and conductive). The driving and damping terms reach equilibrium for M s ∼- 4.

Standard shock jump conditions for M s ∼- 4 lead to post-shock temperatures in the corona in the range 107 to 1.8 × 107K and emission measures from 3.8 × 1047 to 3.8 × 1048 cm-3. For isolated simple events, I predict an exponential decay of the emission measure with decay times in the range 1 ⩽ τ ⩽ 6.5 min.

In a detailed study of over 4000 X-ray bursts, Drake (1970) compares 1 to 6 keV X-ray data with 7.7 to 12.5 keV X-ray data (the ‘thermal’ component) and finds ranges for the temperatures of 1.2 × 107 to 1.8 × 107K, for the emission measures of 5.1 × 1047 to 3.8 x 1048 cm-3 and for the decay times 0.5 ⩽ τ ⩽ 20 min. He also finds that the emission measure varies “... both from event to event and within the event, by more than a factor of two”.

The agreement between the predictions and the observations makes it appear that a strong shock in the corona will produce a post-shock state that yields the observed characteristics of the soft component of X-ray bursts (the ‘thermal’ X-rays).

I give several examples where sprays and fast eruptive prominences \(\left( {M\tilde > 1} \right)\), that are not associated with solar flares, are associated with ‘thermal’ X-ray bursts. There were two slow eruptive prominences (M ≪ 1) in the sample, and neither of them yielded a detectable X-ray burst.

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Now at the Dept. of Physics and Astronomy (NASA), Univ. of New Mexico; Albuquerque, N.M. 87106.

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Hyder, C.L. Strong coronal shocks and ‘thermal’ solar X-ray bursts. Sol Phys 14, 196–203 (1970). https://doi.org/10.1007/BF00240178

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