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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

We consider the astrophysical reaction rates for radiative neutron capture reactions ($n,\gamma$) in the crust of a neutron star. The presence of degenerate neutrons at high densities (mainly in the inner crust) can drastically affect the…

Solar and Stellar Astrophysics · Physics 2012-07-26 P. S. Shternin , M. Beard , M. Wiescher , D. G. Yakovlev

Reactions between atomic nuclei are measured in great detail in terrestrial laboratory experiments; transferring and extrapolating this knowledge to how the same reactions act within cosmic environments presents major challenges.…

High Energy Astrophysical Phenomena · Physics 2026-03-11 Roland Diehl , Michael Wiescher

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 proceed differently in stellar plasmas than in the laboratory due to the thermal effects in the plasma. On one hand, a target nucleus is bombarded by projectiles distributed in energy with a distribution defined by the…

Solar and Stellar Astrophysics · Physics 2014-11-20 T. Rauscher

The nucleus-nucleus potential is calculated in the frame work of the double folding model (DFM) to obtain the Coulomb barrier parameters (barrier position and height), starting from M3Y-Reid nucleon-nucleon interaction and realistic nuclear…

Nuclear Theory · Physics 2020-01-22 M. Ismail , A. Y. Ellithi , A. Adel , A. R. Abdulghany

We present here a robust analytical model based on nuclear reaction theory for non-resonant fusion cross sections near Coulomb barrier. The astrophysical $S$-factors involving stable and neutron rich isotopes of C, O, Ne, Mg and Si for…

Nuclear Theory · Physics 2019-06-05 Vinay Singh , Joydev Lahiri , D. N. Basu

We review some simple mechanisms of breakup in nuclear reactions. We mention the spectator breakup, which is described in the post-form DWBA. The relation to other formulations is also indicated. An especially important mechanism is Coulomb…

Nuclear Theory · Physics 2017-08-23 G. Baur , S. Typel , H. H. Wolter , K. Hencken , D. Trautmann

A recapitulatory analysis of total nuclear cross sections of various nuclei is presented, which yields detailed knowledge on the different physical processes such as potential/resonance scatter and nuclear reactions. The physical base for…

Medical Physics · Physics 2010-09-07 W. Ulmer , E. Matsinos

The nuclear fusion is a reaction to form a compound nucleus. It plays an important role in several circumstances in nuclear physics as well as in nuclear astrophysics, such as synthesis of superheavy elements and nucleosynthesis in stars.…

Nuclear Theory · Physics 2016-07-20 K. Hagino , N. Rowley , J. M. Yao

These descriptive comments are made to encourage detailed three-body, relativistic, quantum collision calculations for the pp reaction. In stars, coulomb barrier tunneling, as in the pp reaction, is not a two-body process. Tunneling is…

Astrophysics · Physics 2007-05-23 Robert L. Kurucz

This study provides an improved understanding of the penetration probabilities (PPs) in nuclear reactions of light nuclei by correcting the assumptions used in the conventional Gamow factor. The Gamow factor effectively describes the PP in…

Nuclear Theory · Physics 2023-11-02 Eunseok Hwang , Heamin Ko , Kyoungsu Heo , Myung-Ki Cheoun , Dukjae Jang

The quantitative description of the effects of nuclear dynamics on the measured neutrino-nucleus cross sections -- needed to reduce the systematic uncertainty of long baseline neutrino oscillation experiments -- involves severe…

Nuclear Theory · Physics 2015-08-19 Omar Benhar , Noemi Rocco

Recent theoretical developments in using the Interacting Boson Model to describe nuclear structure effects in fusion reactions below the Coulomb barrier are reviewed. Methods dealing with linear and all orders coupling between the nuclear…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , S. Kuyucak

Strong correlation effects in classical and quantum plasmas are discussed. In particular, Coulomb (Wigner) crystallization phenomena are reviewed focusing on one-component non-neutral plasmas in traps and on macroscopic two-component…

Sensitivities of nuclear reaction rates to a variation of nuclear properties are studied. Target nuclei range from proton- to neutron-dripline for 10<=Z<=83. Reactions considered are nucleon- and alpha-induced reactions mediated by the…

Solar and Stellar Astrophysics · Physics 2015-03-13 T. Rauscher

Our understanding of halo nuclei has so far relied on high-energy scattering and reactions, but a number of uncertainties remain. I discuss in general terms the new range of observables which will be measured by experiments around the…

Nuclear Theory · Physics 2008-11-26 I. J. Thompson

This study concerns a situation when measurements of the nonresonant cross-section of nuclear reactions appear highly dependent on the environment in which the particles interact. An appealing example discussed in the paper is the…

Plasma Physics · Physics 2015-05-30 N. J. Fisch , M. G. Gladush , Yu. V. Petrushevich , Piero Quarati , A. N. Starostin

Recent theoretical advances in the study of heavy ion fusion reactions below the Coulomb barrier are reviewed. Particular emphasis is given to new ways of analyzing data, such as studying barrier distributions; new approaches to channel…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , N. Takigawa

Coulomb effects on $\pi^\pm$ and $K^\pm$ spectra in relativistic nuclear collisions are investigated. At collision energies around 1 GeV the ratio of $\pi^-$ to $\pi^+$ is enhanced several times at low transverse momenta but less at…

Nuclear Theory · Physics 2008-11-26 H. W. Barz , J. P. Bondorf , J. J. Gaardhoje , H. Heiselberg