期刊
NUCLEAR PHYSICS A
卷 841, 期 -, 页码 1-30出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysa.2010.04.008
关键词
Thermonuclear reaction rates
资金
- US Department of Energy [DE-FG02-97ER41041]
- U.S. Department of Energy (DOE) [DE-FG02-97ER41041] Funding Source: U.S. Department of Energy (DOE)
A method based on Monte Carlo techniques is presented for evaluating thermonuclear reaction rates. We begin by reviewing commonly applied procedures and point out that reaction rates that have been reported up to now in the literature have no rigorous statistical meaning. Subsequently, we associate each nuclear physics quantity entering in the calculation of reaction rates with a specific probability density function, including Gaussian, lognormal and chi-squared distributions. Based on these probability density functions the total reaction rate is randomly sampled many times until the required statistical precision is achieved. This procedure results in a median (Monte Carlo) rate which agrees under certain conditions with the commonly reported recommended classical rate. In addition, we present at each temperature a low rate and a high rate, corresponding to the 0.16 and 0.84 quantiles of the cumulative reaction rate distribution. These quantities are in general different from the statistically meaningless minimum (or lower limit) and maximum (or upper limit) reaction rates which are commonly reported. Furthermore, we approximate the output reaction rate probability density function by a lognormal distribution and present, at each temperature, the lognormal parameters it and a. The values of these quantities will be crucial for future Monte Carlo nucleosynthesis studies. Our new reaction rates, appropriate for bare nuclei in the laboratory, are tabulated in the second paper of this issue (Paper II). The nuclear physics input used to derive our reaction rates is presented in the third paper of this issue (Paper III). In the fourth paper of this issue (Paper IV) we compare our new reaction rates to previous results. (C) 2010 Elsevier BA,. All rights reserved.
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