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Transition path theory provides a statistical description of the dynamics of a reaction in terms of local spatial quantities. In its original formulation, it is limited to reactions that consist of trajectories flowing from a reactant set A…

Data Analysis, Statistics and Probability · Physics 2022-09-21 Chatipat Lorpaiboon , Jonathan Weare , Aaron R. Dinner

Reaction cross-sections are calculated using the Coulomb modified Glauber model for deformed target nuclei. The deformed nuclear matter density of the target is expanded into multipoles of order k = 0,2,4.The reaction cross-sections between…

Nuclear Theory · Physics 2009-04-13 M. Y. M. Hassan , M. Y. H. Farag , A. Y. Abul-Magd , T. E. I. Nassar

The direct measurement of the reaction or capture (fusion) cross section is a difficult task since it would require the measurement of individual cross sections of many reaction channels, and most of them could be reached only by specific…

Nuclear Theory · Physics 2015-06-18 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , P. R. S. Gomes

Basing on the thickness (profile) function, previously obtained for the realistic Fermi type distribution of nucleons in nuclei, calculations are made of the microscopic eikonal phases of the nucleus-nucleus scattering and the total…

Nuclear Theory · Physics 2007-05-23 V. Lukyanov , E. Zemlyanaya , B. Slowinski

Existing data on near-barrier fusion excitation functions of medium and heavy nucleus-nucleus systems have been analyzed using a simple diffused barrier formula derived assuming the Gaussian shape of the barrier height distributions. Fusion…

Nuclear Theory · Physics 2014-12-30 Debasis Atta , D. N. Basu

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

We study the scaling properties of proton-nucleus total reaction cross sections for stable nuclei and propose an approximate expression in proportion to Z^{2/3}\sigma_{pp}^{total} + N^{2/3} \sigma_{pn}^{total}. Based on this expression, we…

Nuclear Theory · Physics 2010-05-19 Badawy Abu-Ibrahim , Akihisa Kohama

Being able to rigorously quantify the uncertainties in reaction models is crucial to moving this field forward. Even though Bayesian methods are becoming increasingly popular in nuclear theory, they are yet to be implemented and applied in…

Nuclear Theory · Physics 2018-07-18 A. E. Lovell , F. M. Nunes

The interpretation of the nuclear cross sections measured using accelerator neutrino beams involve severe difficulties, arising primarily from the average over the incoming neutrino flux. The broad energy distribution of the beam particles…

Nuclear Theory · Physics 2021-10-12 Omar Benhar

In interpreting the SNO experiments, accurate estimates of the \nu d reaction cross sections are of great importance. In our recent work, we have improved our previous calculation by updating some of its inputs and by incorporating the…

Nuclear Theory · Physics 2014-11-18 S. Nakamura , T. Sato , S. Ando , T. -S. Park , F. Myhrer , V. Gudkov , K. Kubodera

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

The sub-barrier fusion hindrance has been observed in the domain of very low energies of astrophysical relevance. This phenomenon can be analyzed effectively using an uncomplicated straightforward elegant mathematical formula gleaned…

Nuclear Theory · Physics 2023-04-10 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

The nucleus-nucleus potential and energy dissipation in fusion reactions are obtained from microscopic mean-field dynamics. The deduced potentials nicely reproduce the one extracted from experimental data. Energy dissipation shows a…

Nuclear Theory · Physics 2015-05-14 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

Merits and faults of the effective theory Random Phase Approximations are discussed in the perspective of its use in the prediction of neutrino-nucleus cross sections.

Nuclear Theory · Physics 2009-11-11 Giampaolo Co'

Nucleon transfer in symmetric heavy-ion reactions at energies below the Coulomb barrier is investigated in the framework of a microscopic stochastic mean-field theory. While mean-field alone is known to significantly underpredict the…

Nuclear Theory · Physics 2015-05-13 Kouhei Washiyama , Sakir Ayik , Denis Lacroix

Reaction cross sections of carbon isotopes for proton scattering are calculated in large energy region. Density distributions of carbon isotopes are obtained from relativistic mean field results. Calculations are based on two procedures:…

Nuclear Theory · Physics 2017-07-26 Kaori Kaki

We systematically study total reaction cross sections of carbon isotopes with N=6-16 on a proton target for wide range of incident energies, putting an emphasis on the difference from the case of a carbon target. The analysis includes the…

Nuclear Theory · Physics 2014-11-18 B. Abu-Ibrahim , W. Horiuchi , A. Kohama , Y. Suzuki

The cross-sections of proton-induced reactions on 184W at incident proton energy below 200MeV are calculated and analyzed including reaction cross-sections, elastic scattering angular distributions, energy spectra and double differential…

Nuclear Theory · Physics 2015-09-02 Jianping Sun , Zhengjun Zhang , Yinlu Han

We develop the method for the calculation of the total reaction cross sections induced by the halo nuclei and stable nuclei. This approach is based on the Glauber theory, which is valid for nuclear reactions at high energy. It is extended…

Nuclear Theory · Physics 2018-01-17 Wen-Jun Guo , Huan-Qing Jiang , Jian-Ye Liu , Wei Zuo , Zhong-Zhou Ren , Xi-Guo Lee

We review different models used for reactions involved in nuclear astrophysics. The reaction rate is defined for resonant as well as for non-resonant processes. For low-density nuclei, we describe the DWBA method, the potential model, the…

Astrophysics · Physics 2009-11-10 P. Descouvemont , T. Rauscher