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Related papers: Charged-Particle Thermonuclear Reaction Rates: I. …

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Numerical values of charged-particle thermonuclear reaction rates for nuclei in the A=14 to 40 region are tabulated. The results are obtained using a method, based on Monte Carlo techniques, that has been described in the preceding paper of…

Solar and Stellar Astrophysics · Physics 2015-05-18 Christian Iliadis , Richard Longland , Art Champagne , Alain Coc , Ryan Fitzgerald

We compare our Monte Carlo reaction rates (see Paper II of this series) to previous results that were obtained by using the classical method of computing thermonuclear reaction rates. For each reaction, the comparison is presented using two…

Solar and Stellar Astrophysics · Physics 2015-05-18 Christian Iliadis , Richard Longland , Art Champagne , Alain Coc

Rigorous statistical methods for estimating thermonuclear reaction rates and nucleosynthesis are becoming increasingly established in nuclear astrophysics. The main challenge being faced is that experimental reaction rates are highly…

Nuclear Experiment · Physics 2015-06-22 Christian Iliadis , Richard Longland , Alain Coc , F. X. Timmes , Art E. Champagne

The nuclear physics input used to compute the Monte Carlo reaction rates and probability density functions that are tabulated in the second paper of this series (Paper II) is presented. Specifically, we publish the input files to the Monte…

Solar and Stellar Astrophysics · Physics 2015-05-18 Christian Iliadis , Richard Longland , Art Champagne , Alain Coc

Context: Recent reaction rate evaluations include reaction rate uncertainties that have been determined in a statistically meaningful manner. Furthermore, reaction rate probability density distributions have been determined and published in…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Richard Longland

This work describes the formalism for estimating thermonuclear reaction rates for astrophysical applications, emphasizing modern statistical approaches such as Monte-Carlo sampling and Bayesian models. We discuss related topics including…

Solar and Stellar Astrophysics · Physics 2026-03-11 Christian Iliadis , Richard Longland , Kiana Setoodehnia , Caleb Marshall , Peter Mohr , Athanasios Psaltis

The $^{18}$Ne($\alpha$,$p$)$^{21}$Na reaction impacts the break-out from the hot CNO-cycles to the $rp$-process in type I X-ray bursts. We present a revised thermonuclear reaction rate, which is based on the latest experimental data. The…

Nuclear Theory · Physics 2015-05-05 P. Mohr , R. Longland , C. Iliadis

The precise calculation of alpha-induced neutron-emission ($\alpha$,n) reaction rates is fundamental to understanding nucleosynthesis in diverse stellar environments. This study investigates the nuclear reaction rates for various…

Nuclear Theory · Physics 2025-11-25 Bhavay Luthra , N. J. Upadhyay

The propagation of uncertainties in reaction cross sections and rates of neutron-, proton-, and $\alpha$-induced reactions into the final isotopic abundances obtained in nucleosynthesis models is an important issue in studies of…

High Energy Astrophysical Phenomena · Physics 2020-12-24 T. Rauscher

Context. Monte Carlo methods have enabled nuclear reaction rates from uncertain inputs to be presented in a statistically meaningful manner. However, these uncertainties are currently computed assuming no correlations between the physical…

Instrumentation and Methods for Astrophysics · Physics 2017-08-02 Richard Longland

The radiative neutron capture reaction rates have been studied at very low energies which are of interest for nuclear astrophysics. The rates for many of these reactions have remained independent of temperature so far. The temperature…

Nuclear Theory · Physics 2021-07-26 Vinay Singh , Joydev Lahiri , D. N. Basu

We use quantum Monte Carlo methods in the framework of the interacting nuclear shell model to calculate the statistical properties of nuclei at finite temperature and/or excitation energies. With this approach we can carry out realistic…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid

Nuclear reactions govern major aspects of the chemical evolution of galaxies and stars. Analytic study of the reaction rates and reaction probability integrals is attempted here. Exact expressions for the reaction rates and reaction…

Classical Analysis and ODEs · Mathematics 2009-09-25 Hans J. Haubold , Arak Mathai Mathai

Nuclear reactions govern major aspects of the chemical evolution od galaxies and stars. Analytic study of the reaction rates and reaction probability integrals is attempted here. Exact expressions for the reaction rates and reaction…

Astrophysics · Physics 2011-04-15 H. J. Haubold , A. M. Mathai

Nuclear reaction rates determine the abundances of isotopes in stellar burning processes. A multitude of reactions determine the reaction flow pattern which is described in terms of reaction network simulations. The reaction rates are…

Instrumentation and Methods for Astrophysics · Physics 2010-11-03 M. Wiescher , T. Rauscher

The propagation of uncertainties in reaction cross sections and rates of neutron-, proton-, and alpha-induced reactions into the final isotopic abundances obtained in nucleosynthesis models is an important issue in studies of…

High Energy Astrophysical Phenomena · Physics 2025-01-07 T. Rauscher , N. Nishimura , G. Cescutti , R. Hirschi , A. St. J. Murphy , C. Travaglio

Theoretical reaction rates in the temperature range 0.01*10^9<=T[K]<=10.*10^9 are calculated in the statistical model (Hauser-Feshbach formalism) for targets with 10<=Z<=83 (Ne to Bi) and for a mass range reaching the neutron and proton…

Astrophysics · Physics 2009-10-31 T. Rauscher , F. -K. Thielemann

Core-collapse supernovae, occurring at the end of massive star evolution, produce heavy elements, including those in the iron peak. Although the explosion mechanism is not yet fully understood, theoretical models can reproduce optical…

Solar and Stellar Astrophysics · Physics 2026-02-24 Nobuya Nishimura , Carla Froehlich , Thomas Rauscher

Stochastic reaction-diffusion models are employed to represent many complex physical, biological, societal, and ecological systems. The macroscopic reaction rates describing the large-scale kinetics in such systems are effective,…

Biological Physics · Physics 2024-07-22 Mohamed Swailem , Uwe C. Täuber

Nuclear level densities are crucial for estimating statistical nuclear reaction rates. The shell model Monte Carlo method is a powerful approach for microscopic calculation of state densities in very large model spaces. However, these state…

Nuclear Theory · Physics 2013-04-29 Y. Alhassid , M. Bonett-Matiz , S. Liu , H. Nakada
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