Summary
The radial distributions of the centre of mass of protons are derived from phenomenological electric-charge densities used in the analyses of electron-nucleus scattering data. The exact method devised for this purpose allows one to reduce the electron-nucleus Fredholm's integral equation to a system of two resolvent differential equations, whose mathematical structure and constant coefficients are bound to a variety of proton models. The forms assumed for the empirical charge densities are critically examined.
Riassunto
Le distribuzioni dei centri di massa dei protoni sono ricavate dalle densità fenomenologiche della carica elettrica usate nell'analisi dei dati sperimentali relativi alla diffusione di elettroni da parte di nuclei. Si sviluppa un metodo esatto in base al quale le densità nucleari sono soluzioni di un'equazione integrade di Fredholm il cui nucleo è definito analiticamente dai modelli di struttura protonica adottati. Le forme analitiche delle densità di carica scelte empiricamente sono esaminate criticamente.
Резюме
Выводятся радиальные распредения центра масс протонов из феноменологических плотностей электрического заряда, которые используются при анализе данных по электрон-ядерному рассеянию. Точный метод, разработанный для этой цели, позволяет свести решение злектрон-ядерного интегрального уравнения Фредгольма к системе двух дифференциальных уравнений, матемацическая структура и постоянные коэффициенты которых связаны для множества моделей прототона. Критически анализируются формы, которые используются для эмпирических плотностей заряда.
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Minelli, T.A., Pascolini, A. & Villi, C. A mathematical method for extracting nuclear information from electron-nucleus scattering data. Nuov Cim A 86, 42–86 (1985). https://doi.org/10.1007/BF02905809
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DOI: https://doi.org/10.1007/BF02905809