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A statistical-mechanical treatment of collision leads to a formal connection with transition-state theory, suggesting that collision theory and transition-state theory might be joined ultimately as a collision induced transition state…

General Physics · Physics 2007-05-23 Y. G. Yi

The current status of optical potentials employed in the prediction of thermonuclear reaction rates for astrophysics in the Hauser-Feshbach formalism is discussed. Special emphasis is put on $\alpha$+nucleus potentials. A novel approach for…

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

We discuss the existence of huge thermal neutron capture cross sections in several nuclei. The values of the cross sections are several orders of magnitude bigger than expected at these very low energies. We lend support to the idea that…

Nuclear Theory · Physics 2019-05-22 M. S. Hussein , B. V. Carlson , A. K. Kerman

In this lecture we aim to present a formalism based on Faddeev-like equations for describing nuclear three-cluster reactions that include elastic, transfer and breakup channels. Two different techniques based on momentum-space and…

Nuclear Theory · Physics 2012-01-25 A. Deltuva , A. C. Fonseca , R. Lazauskas

We discuss the connection between absorption, averages and fluctuations in nuclear reactions. The fluctuations in the entrance channel result in the compound nucleus, Hauser-Feshbach, cross section, the fluctuations in the intermediate…

Nuclear Theory · Physics 2008-11-26 M. S. Hussein

We present an approximate analytic expression for thermonuclear reaction rate of charged particles when the cross section contains a single narrow or wide resonance described by a Breit-Wigner shape. The resulting expression is uniformly…

Nuclear Theory · Physics 2015-06-26 M. S. Hussein , M. Ueda , A. J. Sargeant , M. P. Pato

Preliminary experimental data for nucleon transfer reactions of the 40Ca+58Ni and 40Ca+64Ni systems are analyzed with the coupled- channels approach. It is shown that a simple treatment for the transfer in the coupled-channels method cannot…

Nuclear Theory · Physics 2017-04-26 G. Scamps , D. Bourgin , K. Hagino , F. Haas , S. Courtin

In this paper, we address the problem of the post-prior equivalence in the calculation of inclusive breakup and transfer cross sections. For that, we employ the model proposed by Ichimura, Austern, and Vincent [Phys. Rev. C 32, 431 (1985)],…

Nuclear Theory · Physics 2018-02-07 Jin Lei , Antonio M. Moro

Towards precise predictions of residue cross sections of the superheavy elements, recent theoretical developments of reaction mechanisms are presented, together with the remaining problems which give rise to ambiguities in absolute values…

Nuclear Theory · Physics 2011-03-17 Yasuhisa Abe , Bertrand Bouriquet

The $\nu/\bar{\nu}-^{12}$C cross sections are evaluated in the projected quasiparticle random phase approximation (PQRPA). The cross section for $\nu_e$ as a function of the incident neutrino energy is compared with recent theoretical…

Nuclear Theory · Physics 2008-08-12 A. R. Samana , C. A. Bertulani , F. Krmpotic

An overview of the experimental aspects of nucleon transfer reactions with radioactive beams is presented, aimed principally at a researcher who is beginning their work in this area. Whilst the physics motivation and the means of…

Nuclear Experiment · Physics 2019-04-30 Wilton N. Catford

The nuclear gross theory, originally formulated by Takahashi and Yamada for the $\beta$-decays, is applied for the electronic-neutrino nucleus reactions, employing a more realistic description to the energetics of the Gamow-Teller…

Nuclear Theory · Physics 2011-03-31 A. R. Samana , C. A. Barbero , S. B. Duarte , A. J. Dimarco , F. Krmpotić

A simple reduction scheme using so-called reduced energies $E_{\rm{red}}$ and reduced cross sections $\sigma_{\rm{red}}$ allows the comparison of heavy-ion induced reaction cross sections for a broad range of masses of projectile and target…

Nuclear Experiment · Physics 2015-06-11 Peter Mohr

This work reviews deterministic and diffusion approximations of the stochastic chemical reaction networks and explains their applications. We discuss the added value the diffusion approximation provides for systems with different phenomena,…

Probability · Mathematics 2018-01-15 Pavel Mozgunov , Marco Beccuti , Andras Horvath , Thomas Jaki , Roberta Sirovich , Enrico Bibbona

The nuclear physics input used to compute the Monte Carlo reaction rates and probability density functions that are tabulated in the second paper of this series (Paper II) is presented. Specifically, we publish the input files to the Monte…

Solar and Stellar Astrophysics · Physics 2015-05-18 Christian Iliadis , Richard Longland , Art Champagne , Alain Coc

\begin{description} \item[Background] Fusion reactions play an important role in nucleosynthesis and in applications to society. Yet they remain challenging to model. \item[Purpose] In this work, we investigate the features of the…

Nuclear Theory · Physics 2025-07-16 J. Rangel , B. Pinheiro , V. A. B. Zagatto , J. Lubian , F. M. Nunes , L. F. Canto

With the quantum diffusion approach the behavior of the capture cross-section is investigated in the reactions $^{92,94}$Mo + $^{92,94}$Mo, $^{100}$Ru + $^{100}$Ru, $^{104}$Pd + $^{104}$Pd, and $^{78}$Kr + $^{112}$Sn at deep sub-barrier…

Nuclear Theory · Physics 2015-06-05 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

Background: Nuclear reactions are complex, with a large number of possible channels. Understanding how different channels contribute to a given reaction is investigated by perturbing the continuous spectrum. Purpose: To develop tools to…

Nuclear Theory · Physics 2024-06-28 Brady J. Martin , Wayne N. Polyzou

We study diffusion-controlled processes in nonequilibrium steady states, where standard rate theory assumptions break down. Using transition path theory, we generalize the relations between reactive probability fluxes and measures of the…

Chemical Physics · Physics 2025-06-02 Seokjin Moon , David T. Limmer

A study is made of the power-law tail effect in the quantum particle distribution over momentum on the nuclear fusion reactions. Our results do not support the idea of averaging the fusion reaction cross-section over the momentum…

Astrophysics · Physics 2008-05-29 Alexander L. Zubarev