243 articles – 3618 Notices  [english version]
 HAL : in2p3-00563336, version 1
 arXiv : 1004.4136
 Nuclear Physics A 841 (2010) 1-30
 Charged-Particle Thermonuclear Reaction Rates: I. Monte Carlo Method and Statistical Distributions
 (2010)
 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 miu and sigma. 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 series (Paper II). The nuclear physics input used to derive our reaction rates is presented in the third paper of this series (Paper III). In the fourth paper of this series (Paper IV) we compare our new reaction rates to previous results.
 Thème(s) : Physique/Astrophysique/Astrophysique stellaire et solairePlanète et Univers/Astrophysique/Astrophysique stellaire et solairePhysique/Physique Nucléaire Théorique
 Lien vers le texte intégral : http://fr.arXiv.org/abs/1004.4136
 in2p3-00563336, version 1 http://hal.in2p3.fr/in2p3-00563336 oai:hal.in2p3.fr:in2p3-00563336 Contributeur : Christine Hadrossek <> Soumis le : Lundi 7 Février 2011, 11:11:53 Dernière modification le : Mercredi 11 Septembre 2013, 16:43:05