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Nuclear reaction rates of astrophysical applications are traditionally determined on the basis of Hauser-Feshbach reaction codes. These codes adopt a number of approximations that have never been tested, such as a simplified width…

Astrophysics · Physics 2015-05-13 S. Goriely , S. Hilaire , A. J. Koning

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 reaction rate ($\lambda$) is a significant factor in the process of nucleosynthesis. A multi-layer directed-weighted nuclear reaction network in which the reaction rate as the weight, and neutron, proton, $^4$He and the remainder…

Nuclear Theory · Physics 2020-10-13 H. L. Liu , D. D. Han , P. Ji , Y. G. Ma

The possibility of description available experimental data for total cross section for reaction of the neutron capture on 10B at energies from 25.3 meV to 1.0 MeV was considered in the frame of the modified potential cluster model with…

Nuclear Theory · Physics 2020-07-03 S B Dubovichenko , N A Burkova , A V Dzhazairov-Kakhramanov

With the chemical reaction rate database UMIST95 (Millar et al. 1997) we analyze how uncertainties in rate constants of gas-phase chemical reactions influence the modelling of molecular abundances in the interstellar medium. Random…

Astrophysics · Physics 2009-11-10 A. I. Vasyunin , A. M. Sobolev , D. S. Wiebe , D. A. Semenov

The reaction rates of neutron capture reactions on light nuclei are important for reliably simulating nucleosynthesis in a variety of stellar scenarios. Neutron capture reaction rates on neutron-rich C-, N-, and O-isotopes are calculated in…

Nuclear Theory · Physics 2008-11-26 H. Herndl , R. Hofinger , J. Jank , H. Oberhummer , J. Goerres , M. Wiescher , F. -K. Thielemann , B. A. Brown

The radiative thermal neutron capture cross sections over the range of thermal energies from 1 keV to 1 MeV are studied in statistical Hauser-Feshbach formalism. The optical model potential is constructed by folding the density dependent…

Nuclear Theory · Physics 2016-11-15 Saumi Dutta , G. Gangopadhyay , Abhijit Bhattacharyya

We have calculated astrophysical reaction cross-sections for $(\gamma,\alpha)$ reactions of some nuclei important for the calculation of $p$-process reaction-decay network. Reaction rates for $\alpha$-induced reactions are calculated with…

Nuclear Theory · Physics 2019-08-05 Chirashree Lahiri

Microscopic calculations show a strong parity dependence of the nuclear level density at low excitation energy of a nucleus. Previously, this dependence has either been neglected or only implemented in the initial and final channels of…

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 are a fundamental yet uncertain ingredient in stellar evolution models. The astrophysical S-factor pertaining to the initial reaction in the proton-proton chain is uncertain at the 1% level, which contributes a…

Solar and Stellar Astrophysics · Physics 2022-10-05 Earl Patrick Bellinger , Jørgen Christensen-Dalsgaard

The reactions $^{10}$B(p,$\alpha$)$^{7}$Be and $^{11}$B(p,$\alpha$)$^{8}$Be are studied at thermonuclear energies using DWBA calculations. For both reactions, transitions to the ground states and first excited states are investigated. In…

Nuclear Theory · Physics 2008-11-26 T. Rauscher , G. Raimann

An update of the NACRE compilation [Angulo et al., Nucl. Phys. A 656 (1999) 3] is presented. This new compilation, referred to as NACRE II, reports thermonuclear reaction rates for 34 charged-particle induced, two-body exoergic reactions on…

Nuclear Theory · Physics 2015-06-17 Yi Xu , Kohji Takahashi , Stephane Goriely , Marcel Arnould , Masahisa Ohta , Hiroaki Utsunomiya

A simple description for obtaining the parity distribution of nuclear levels in the pf + g9/2 shell as a function of excitation energy was recently derived. We implement this in a global nuclear level density model. In the framework of the…

Nuclear Theory · Physics 2015-06-26 D. Mocelj , T. Rauscher , G. Martinez-Pinedo , Y. Alhassid

The p(p,e^+ \nu_e)^2H reaction rate is an essential ingredient for theoretical computations of stellar models. In the past several values of the corresponding S-factor have been made available by different authors. Prompted by a recent…

Solar and Stellar Astrophysics · Physics 2015-06-23 E. Tognelli , S. Degl'Innocenti , L. E. Marcucci , P. G. Prada Moroni

We review different models used for reactions involved in nuclear astrophysics. The reaction rate is defined for resonant as well as for non-resonant processes. For low-density nuclei, we describe the DWBA method, the potential model, the…

Astrophysics · Physics 2009-11-10 P. Descouvemont , T. Rauscher

Calculations of the reaction rate of the proton radiative capture on 3H at temperatures from 0.01 T9 up to 5 T9, which are based on the theoretical results for the astrophysical S-factor and take into account the latest experimental data,…

Nuclear Theory · Physics 2017-07-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. V. Afanasyeva

Proton capture cross sections in the energy range of astrophysical interest for mass region 40-54 have been calculated in the Hauser-Feshbach formalism with reaction code TALYS1.6. The density dependent M3Y effective nucleon-nucleon…

Nuclear Theory · Physics 2016-07-15 Dipti Chakraborty , Saumi Dutta , G. Gangopadhyay , Abhijit Bhattacharyya

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 thermonuclear $^{19}$F($p$,$\alpha_0$)$^{16}$O reaction rate in a temperature region of 0.007--10 GK has been derived by re-evaluating the available experimental data, together with the low-energy theoretical $R$-matrix extrapolations.…

Solar and Stellar Astrophysics · Physics 2018-01-17 J. J. He , I. Lombardo , D. Dell'Aquila , Y. Xu , L. Y. Zhang , W. P. Liu