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The ab initio calculation of exact quantum reaction rate constants comes at a high cost due to the required dynamics of reactants on multidimensional potential energy surfaces. In turn, this impedes the rapid design of the kinetics for…

Chemical Physics · Physics 2020-09-23 Evan Komp , Stéphanie Valleau

Possible modification in the velocity distribution in the non-resonant reaction rates leads to an extended reaction rate probability integral. The closed form representation for these thermonuclear functions are used to obtain the stellar…

Solar and Stellar Astrophysics · Physics 2014-09-09 H. J. Haubold , D. Kumar

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

We explore properties of core-collapse supernova progenitors with respect to the composite uncertainties in the thermonuclear reaction rates by coupling the reaction rate probability density functions provided by the STARLIB reaction rate…

Solar and Stellar Astrophysics · Physics 2018-02-07 C. E. Fields , F. X. Timmes , R. Farmer , I. Petermann , William M. Wolf , S. M. Couch

In particle-based algorithms, the effect of binary collisions is commonly described in a statistical way, using Monte Carlo techniques. It is shown that, in the relativistic regime, stringent constraints should be considered on the sampling…

Plasma Physics · Physics 2009-11-13 F. Peano , M. Marti , L. O. Silva , G. Coppa

In this work, the rate law for inhomogeneous concentration distributions has been formulated, by applying spatial integration over the products of species concentrations. Reaction rates for typical reactions have been investigated by…

Chemical Physics · Physics 2025-12-24 Xiang-Yuan Li , Xin-Yu Zhang , ChuanFeng Yue

We investigated the impact of uncertainties in neutron-capture and weak reactions (on heavy elements) on the s-process nucleosynthesis in low-mass stars using a Monte-Carlo based approach. We performed extensive nuclear reaction network…

Solar and Stellar Astrophysics · Physics 2020-01-08 G. Cescutti , R. Hirschi , N. Nishimura , T. Rauscher , J. den Hartogh , A. St. J. Murphy , S. Cristallo

Employing a recently developed Monte Carlo model, we study the fission of 240Pu induced by neutrons with energies from thermal to just below the threshold for second chance fission. Current measurements of the mean number of prompt neutrons…

Nuclear Theory · Physics 2009-10-29 R. Vogt , J. Randrup , J. Pruet , W. Younes

The problem of determining the effects of the surrounding plasma on nuclear reaction rates in stars is formulated ab initio, using the techniques of quantum statistical mechanics. We derive a result that expresses the complete effects of…

Astrophysics · Physics 2008-11-26 Lowell S. Brown , R. F. Sawyer

A Monte-Carlo approach to proton stopping in warm dense matter is implemented into an existing particle-in-cell code. The model is based on multiple binary-collisions among electron-electron, electron-ion and ion-ion, taking into account…

Plasma Physics · Physics 2017-02-22 D. Wu , X. T. He , W. Yu , S. Fritzsche

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

The distribution function of the relative velocity in a two-body reaction of nonrelativistic uncorrelated particles is derived for general cases of given distribution functions of single particle velocities. The distribution function is…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-13 Motohiko Kusakabe , Toshitaka Kajino , Grant J. Mathews , Yudong Luo

As part of the development of a sample radioactivity calculation program, we have measured radionuclide production probabilities in negative muon nuclear capture to update experimental data and to validate a calculation dataset obtained by…

Nuclear Experiment · Physics 2025-08-28 Y. Yamaguchi , M. Niikura , R. Mizuno , M. Tampo , M. Harada , N. Kawamura , I. Umegaki , S. Takeshita , K. Haga

We discuss finite temperature quantum Monte Carlo methods in the framework of the interacting nuclear shell model. The methods are based on a representation of the imaginary-time many-body propagator as a superposition of one-body…

Nuclear Theory · Physics 2009-11-06 Y. Alhassid

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 abundances of the isotopes of the elements from C to Al produced by the non-explosive CNO, NeNa and MgAl modes of hydrogen burning, as well as by helium burning, are calculated with the thermonuclear rates recommended by the European…

Astrophysics · Physics 2007-05-23 M. Arnould , S. Goriely , A. Jorissen

The radiological characterization of contaminated elements (walls, grounds, objects) from nuclear facilities often suffers from a too small number of measurements. In order to determine risk prediction bounds on the level of contamination,…

Applications · Statistics 2017-05-30 Géraud Blatman , Thibault Delage , Bertrand Iooss , Nadia Pérot

We examine the sensitivity of nucleosynthesis in Type I X-ray bursts to variations in nuclear rates. As a large number of nuclear processes are involved in these phenomena -with the vast majority of reaction rates only determined…

Astrophysics · Physics 2008-06-19 Anuj Parikh , Jordi Jose , Fermin Moreno , Christian Iliadis

A Monte Carlo simulator is presented to reproduce data of nucleus-nucleus interactions at high energies. The program is designed in a microscopic point of view, where the cascade approach is applied. Moreover, each nucleon from both the…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. M. Hassan , N. El-Harby , M. T. Hussein

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…