Для цитирования:
Gontchar I. I., Chushnyakova M. V., Khmyrova N. A. Systematics of the Coulomb barrier characteristics resulting from M3Y nucleon-nucleon forces for reactions with heavy ions [Гончар И. И., Чушнякова М. В., Хмырова Н. А. Систематика параметров кулоновских барьеров, вычисленных с использованием М3Y нуклон-нуклонных сил, в реакциях с тяжёлыми ионами] // Известия Саратовского университета. Новая серия. Серия: Физика. 2023. Т. 23, вып. 2. С. 157-166. DOI: 10.18500/1817-3020-2023-23-2-157-166, EDN: DNUYIV
Systematics of the Coulomb barrier characteristics resulting from M3Y nucleon-nucleon forces for reactions with heavy ions
[Систематика параметров кулоновских барьеров, вычисленных с использованием М3Y нуклон-нуклонных сил, в реакциях с тяжёлыми ионами]
В литературе сечения слияния (захвата в орбитальное движение) для сложных сферических ядер часто вычисляются с помощью характеристик барьера, соответствующего лобовому столкновению: высоты барьера, его радиуса и жёсткости. В настоящей работе мы рассчитываем эти величины систематически в рамках модели двойной свёртки. В качестве эффективного нуклон-нуклонного (NN) взаимодействия используется парижское M3Y взаимодействие с нулевым радиусом обменной части. Её амплитуда варьируется так, чтобы воспроизводить высоту барьера, полученного при использовании обменной части с конечным радиусом взаимодействия и плотностной зависимостью NN-взаимодействия. Для нуклонных плотностей использовано два варианта. Первый (V-опция) основан на экспериментальных зарядовых плотностях. Второй (C-опция) – это протонные и нейтронные плотности, вычисленные с помощью подхода Хартри–Фока–Боголюбова и опубликованные МАГАТЭ. Для обеих опций нами построены аналитические аппроксимации высоты барьера, его радиуса и жёсткости. Точность этой аппроксимации составляет около 3% для высоты барьера и около 10% для жёсткости. Предложенные аппроксимации могут быть полезны всем для быстрой оценки сечений захвата с помощью модели параболического барьера.
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