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Related papers: Astrophysical thermonuclear functions

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Stars are gravitationally stabilized fusion reactors changing their chemical composition while transforming light atomic nuclei into heavy ones. The atomic nuclei are supposed to be in thermal equilibrium with the ambient plasma. The…

Classical Analysis and ODEs · Mathematics 2016-09-06 William J. Anderson , Hans J. Haubold , Arak Mathai Mathai

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

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 rates are one of the most important ingredients in describing how stars evolve. The study of the nuclear reactions involved in different astrophysical sites is thus mandatory to address most questions in nuclear…

Nuclear Experiment · Physics 2021-07-29 Faïrouz Hammache , Nicolas de Séréville

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 present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann-Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those…

Mathematical Physics · Physics 2009-11-10 R. K. Saxena , A. M. Mathai , H. J. Haubold

The relevant energy ranges for stellar nuclear reactions are introduced. Low-energy compound and direct reactions are discussed. Stellar modifications of the cross sections are presented. Implications for experiments are outlined.

High Energy Astrophysical Phenomena · Physics 2015-05-19 T. Rauscher

An analytic study of the reaction probability integrals corresponding to the various forms of the slowly varying cross-section factor $S(E)$ is attempted. Exact expressions for reaction probability integrals are expressed in terms of the…

Astrophysics · Physics 2007-05-23 M. A. Chaudhry , H. J. Haubold , A. M. Mathai

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

Needed for cosmological and stellar nucleosynthesis, we are studying the closed-form analytic evaluation of thermonuclear reaction rates. In this context, we undertake a comprehensive analysis of three distinct velocity distributions,…

Nuclear Theory · Physics 2024-05-21 Hans J. Haubold , Dilip Kumar , Ashik A. Kabeer

Compound-nuclear processes play an important role for nuclear physics applications and are crucial for our understanding of the nuclear many-body problem. Despite intensive interest in this area, some of the available theoretical…

Nuclear Theory · Physics 2015-06-19 Brett V. Carlson , Jutta E. Escher , Mahir S. Hussein

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

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

A recent article (D.A. Brown, et al., Phys. Rev. C98 024616 (2018)) rproposed a modification of the cross section formula used in practical calculations of compound nucleus reactions. We discuss the main concepts and approximations of…

Nuclear Theory · Physics 2019-03-06 Y. Alhassid , G. F. Bertsch , P. Fanto , T. Kawano

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

A quantitative description of the properties of hot nuclear matter will be needed for the interpretation of the available and forthcoming astrophysical data, providing information on the post merger phase of a neutron star coalescence. We…

Nuclear Theory · Physics 2022-11-30 Lucas Tonetto , Omar Benhar

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

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

In a previous publication [Atomic Data and Nuclear Data Tables 75, 1 (2000)], we had given seven parameter analytical fits to theoretical reaction rates derived from nuclear cross sections calculated in the statistical model…

Nuclear Theory · Physics 2009-11-07 T. Rauscher , F. -K. Thielemann

The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analytical study of respective thermonuclear functions is being…

Astrophysics · Physics 2009-06-23 H. J. Haubold , D. Kumar
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