ORIGINAL RESEARCH article
Front. Phys.
Sec. Nuclear Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1688864
Estimation of Tsallis non-extensive statistics effect on the 14С(n,γ)15C reaction rate
Provisionally accepted
- 1Eurasian Technological University, Almaty, Kazakhstan
- 2Al-Farabi Kazakh National University, Almaty, Kazakhstan
Select one of your emails
You have multiple emails registered with Frontiers:
Notify me on publication
Please enter your email address:
If you already have an account, please login
You don't have a Frontiers account ? You can register here
The total cross section of the radiative neutron capture reaction 14С(n,γ0+1)15C at energies from 10 meV to 5 MeV is considered. Calculations performed in the frame of the modified potential cluster model with forbidden states show an agreement of total cross section σ(23.3 keV) = 4.75 μb with the presently recommended value 4.86(0.48) by Ma et al., 2020. The efficiency of carbon isotope 15C production is illustrated by the 14С(n,γ0+1)15C reaction rate calculated at temperatures from T9 = 0.001 to T9 = 10. The conventional Maxwellian-Boltzmann weighted reaction rate <σv>MB of the present work is comparable with less than 10% accuracy with the latest calculations by Ma et al., 2020 and Bhattacharyya et al., 2021. The estimation of non-extensive effects is implemented using our data on the reaction rate <σv>MB as reference ones. The efficiency of carbon isotopes production in radiative capture reactions 12-14С(n,γ)13-15C is estimated based on the calculated reaction rates. The influence of the Maxwellian-weighted 12-14C(n,γ)13-15C reaction rates on the ratios 12C/13C and 13C/14C is examined. The Tsallis statistics is applied for the first time to the calculation of the 14С(n,γ0)15C reaction rate with values of non-extensive parameter 0.7 ≤ q ≤ 1.3 on the background of Maxwell-Boltzmann statistics corresponding to q = 1. The reaction rate <σv>q shows a factor ~ 4 increase for q = 0.7, and a factor ~ 0.6 decrease for q = 1.3 compared to the case q = 1.
Keywords: n14C system, Radiative capture, Thermonuclear reaction rate, potential cluster model, Tsallis statistics
Received: 19 Aug 2025; Accepted: 30 Sep 2025.
Copyright: © 2025 Tkachenko, Burkova, Yeleusheva and Dubovichenko. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Alessya Tkachenko, tkachenko.alessya@gmail.com
Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.