Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...283.1004s&link_type=abstract
Astronomy and Astrophysics, Vol. 283, p. 1004 (1994)
Astronomy and Astrophysics
Astrophysics
5
Dense Matter - Nuclear Reactions - Stars: Interiors - White Dwarfs
Scientific paper
In dense matter the thermonuclear reaction rate is significantly affected by neighbouring ions to a reacting pair. The rigorous theory of Alastuey & Jancovici shows that, if small quantum-mechanical effects associated with the neighbouring ions are neglected, the correct way to estimate thermonuclear reaction rates in dense matter is first to calculate the rate for a fixed configuration of neighbours to the fusing pair, and then to thermally average over positions of the neighbours. The standard assumption made in most calculations of rates is that the processes of thermodynamic averaging and the evaluation of the tunneling amplitude may be reversed. This is equivalent to assuming that the fusing pair of ions move in the average potential produced by the other ions. We make quantitative estimates of the reaction rate for a simple, physically motivated, three-dimensional model, and show that under some circumstances the standard approximation can give reaction rates that are too high by a factor 2.
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