nucВестник НЯЦ РКNNC RK Bulletin1729-75161729-7885Национальный ядерный центр Республики Казахстан10.52676/1729-7885-2025-4-198-208nuc-921Research ArticleСтатьиПРОВЕРКА СПРАВЕДЛИВОСТИ ПЕРЕКРЕСТНОЙ ПРОВЕРКИ ТЕОРЕТИЧЕСКИХ И ЧИСЛЕННЫХ МЕТОДОВ НА ПРИМЕРЕ УПРУГОГО РАССЕЯНИЯ ПРОТОНОВ НА 14C В ДИАПАЗОНЕ 3,7–7,0 МэВMETHODS USING THE EXAMPLE OF PROTON ELASTIC SCATTERING ON 14C IN THE ENERGY RANGE FROM 3.7 TO 7.0 MeVhttps://orcid.org/0009-0005-4668-828XКажыкеновШ. М.KazhykenovSh. M.

Усть-Каменогорск

Алматы

Ust-Kamenogors

Almaty

nuclearshalkar@gmail.comДжансейтовД. М.ZhansseitovD. M.

Алматы

Almaty

ВалиолдаД. С.ValioldaD. S.

Алматы

Almaty

АлтуховИ. В.AltukhovI. V.

Усть-Каменогорск

Ust-Kamenogors

Восточно-Казахстанский технический университет им. Д. Серикбаева; Казахский национальный университет им. аль-ФарабиКазахстанD. Serikbayev East Kazakhstan Technical University; Al-Farabi Kazakh National UniversityKazakhstanКазахский национальный университет им. аль-Фараби; РГП «Институт ядерной физики» Агентства РК по атомной энергииКазахстанAl-Farabi Kazakh National University; RSE “Institute of Nuclear Physics” of the Agency of the Republic of Kazakhstan for Atomic EnergyKazakhstanВосточно-Казахстанский технический университет им. Д. СерикбаеваКазахстанD. Serikbayev East Kazakhstan Technical UniversityKazakhstan20250812202504198208Copyright © Кажыкенов Ш.М., Джансейтов Д.М., Валиолда Д.С., Алтухов И.В., 20252025Кажыкенов Ш.М., Джансейтов Д.М., Валиолда Д.С., Алтухов И.В.Kazhykenov S.M., Zhansseitov D.M., Valiolda D.S., Altukhov I.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://journals.nnc.kz/jour/article/view/921

В данной работе представлен комплексный подход к анализу упругого рассеяния протонов на ядре 14C в диапазоне энергий 3,7–7,0 МэВ, объединяющий квантово-механический метод полных волн (Full-Wave Method, FWM), моделирование методом Монте-Карло на базе Geant4 и экспериментальные данные [1–3]. Фазовые сдвиги были получены путём решения уравнения Шрёдингера с использованием оптического потенциала, включающего микроскопическое взаимодействие CDM3Y [4] и параметризацию Вудса–Саксона для мнимой части, с учётом спинорбитального взаимодействия. Полученные дифференциальные сечения были сопоставлены с экспериментальными измерениями и результатами моделирования в Geant4, показав согласие в пределах 3–6% в рассматриваемом энергетическом диапазоне. Наблюдаемое нелинейное увеличение фазовых сдвигов и сечений выше 5,5 МэВ указывает на отклонения от стандартного оптического поведения. Эти результаты свидетельствуют о кластерной и гало-подобной структуре ядра 14C [5], подтверждая его экзотическое строение. Предлагаемая гибридная методология позволяет согласовать теоретические расчёты и моделирование с экспериментальными данными, открывая возможность применения Geant4 в инженерных расчётах после верификации на основе микроскопических квантовых моделей. Данный подход применим как для анализа реакций в неисследованных энергетических областях, так и для моделирования радиационных эффектов в материалах.

This work presents an integrated approach to the analysis of proton elastic scattering on the 14C nucleus in the energy range from 3.7 to 7.0 MeV. The approach combines the quantum mechanical Full Wave Method FWM, Monte Carlo simulations based on Geant4, and experimental data. Phase shifts were obtained by solving the Schrödinger equation with an optical potential constructed from the microscopic CDM3Y interaction and a Woods Saxon parameterization for the imaginary part, including the spin orbit contribution. The calculated differential cross sections were compared with experimental measurements and Geant4 simulations, showing agreement within 3 to 6 percent. The observed nonlinear increase in phase shifts and cross sections above 5.5 MeV indicates deviations from standard optical behavior. These features suggest a cluster like or halo influenced structure of the 14C nucleus, confirming its non trivial internal configuration. The proposed hybrid methodology aligns theoretical calculations and simulations with experimental data and can be applied to reactions in unexplored energy regions, as well as to modeling radiation effects in materials.

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The authors declare that there are no conflicts of interest present.