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This is an overview over the prediction of astrophysical reaction rates in the statistical model, with special emphasis on the parametrization of optical alpha+nucleus potentials.

Nuclear Theory · Physics 2007-05-23 T. Rauscher

The majority of nuclear reactions in astrophysics involve unstable nuclei which are not fully accessible by experiments yet. Therefore, there is high demand for reliable predictions of cross sections and reaction rates by theoretical means.…

Astrophysics · Physics 2010-12-13 T. Rauscher , R. D. Hoffman , S. E. Woosley , F. -K. Thielemann

The prediction of cross sections for nuclei far off stability is crucial in the field of nuclear astrophysics. We discuss the model mostly employed for such calculations: the statistical model (Hauser-Feshbach). Special emphasis is put on…

Astrophysics · Physics 2008-11-26 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

Nuclear Astrophysics requires the knowledge of reaction rates over a wide range of nuclei and temperatures. In recent calculations the nuclear level density - as an important ingredient to the statistical model (Hauser-Feshbach) - has shown…

Astrophysics · Physics 2009-10-28 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

Properties of atomic nuclei important for the prediction of astrophysical reaction rates are reviewed. In the first part, a recent simulation of evolution and nucleosynthesis of stars between 15 and 25 solar masses is presented. This study…

Astrophysics · Physics 2009-11-07 T. Rauscher

Recent improvements and remaining problems in the prediction of thermonuclear rates are reviewed. The main emphasis is on statistical model calculations, but the challenge to include direct reactions close to the driplines is also briefly…

Nuclear Theory · Physics 2007-05-23 T. Rauscher

Background: Optical potentials are crucial ingredients for the prediction of nuclear reaction rates needed in simulations of the astrophysical \gamma-process. Associated uncertainties are particularly large for reactions involving…

This review focuses on nuclear reactions in astrophysics and, more specifically, on reactions with light ions (nucleons and alpha particles) proceeding via the strong interaction. It is intended to present the basic definitions essential…

Nuclear Theory · Physics 2015-03-17 T. Rauscher

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

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

In the model calculations of heavy element nucleosynthesis processes the nuclear reaction rates are taken from statistical model calculations which utilize various nuclear input parameters. It is found that in the case of reactions…

Nuclear Experiment · Physics 2014-12-01 Gy. Gyürky , Zs. Fülöp , Z. Halász , G. G. Kiss , T. Szücs

We present an overview of the coupled-channels optical model and the Hauser-Feshbach theory code CoH$_3$, which focuses on the nuclear reaction calculations in the keV to tens of MeV region with special attention to the nuclear deformation.…

Nuclear Theory · Physics 2019-01-18 Toshihiko Kawano

As theoretical knowledge and experimental verification of nuclear cross sections increases it becomes possible to refine analytic representations for nuclear reaction rates. In this paper mathematical/statistical techniques for deriving…

Astrophysics · Physics 2009-10-22 W. J. Anderson , H. J. Haubold , A. M. Mathai

The book considers some theoretical questions of nuclear astro-physics thermal energies and light atomic nuclei. For the analysis of re-actions is used potential two cluster model of light nuclei with classifica-tion of states by orbital…

Nuclear Theory · Physics 2011-08-15 Sergey B. Dubovichenko

The $\alpha$-optical potential is one of the key input parameters used to measure the reaction rate of the ($\gamma,\alpha$)-process using the Hauser-Feshbach(HF) statistical model and the principle of detailed balance. $\alpha$-elastic…

Double--folded optical $\alpha$--nucleus potentials can be used to calculate elastic scattering cross sections in a wide mass-- and energy region. Because of the systematic behavior of the potential parameters we are able to obtain reliable…

Nuclear Theory · Physics 2009-09-25 P. Mohr , H. Abele , U. Atzrott , G. Staudt , R. Bieber , K. Grün , H. Oberhummer , T. Rauscher , E. Somorjai

The prediction of stellar ($\gamma$,$\alpha$) reaction rates for heavy nuclei is based on the calculation of ($\alpha$,$\gamma$) cross sections at sub-Coulomb energies. These rates are essential for modeling the nucleosynthesis of so-called…

Nuclear Theory · Physics 2020-07-15 P. Mohr , Zs. Fülöp , Gy. Gyürky , G. G. Kiss , T. Szücs

The $\gamma$-process in core-collapse and/or type Ia supernova explosions is thought to explain the origin of the majority of the so-called $p$ nuclei (the 35 proton-rich isotopes between Se and Hg). Reaction rates for $\gamma$-process…

Nuclear Experiment · Physics 2015-03-09 G. G Kiss , T. Szücs , T. Rauscher , Zs Török , L. Csedreki , Zs Fülöp , Gy Gyürky , Z. Halász

Explosive nuclear burning in astrophysical environments produces unstable nuclei which again can be targets for subsequent reactions. In addition, it involves a large number of stable nuclides which are not fully explored by experiments,…

Nuclear Theory · Physics 2017-08-23 T. Rauscher , C. Froehlich , K. H. Guber
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