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Proton and electron inelastic scattering and the shell model for12C

Неупругое рассеяние фотонов и злектронов и оболочечная модель для12С

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Il Nuovo Cimento A (1965-1970)

Summary

The Glauber model is applied to the inelastic scattering of protons, and the electromagnetic-transition form factor is derived from the same formula. The shell model of12C* (2+, 3−) is improved in a new calculation. The spin effects for the proton scattering at small momentum transfers are discussed; they are found to explain an earlier discrepancy in the description of the 3− excitation. Exact evaluations of the Glauber formula give excellent agreement with proton scattering experiments for small momentum transfersq. Forq 2>5 fm−2 the calculated results are too small for 2+ excitation and too big for 3−. The « exact » results are compared with two approximate versions of the Glauber theory.

Riassunto

Il modello di Glauber è applicato allo scattering inelastico di protoni e il fattore di forma di transizione elettromagnetica è derivato dalla stessa formula. Si migliora il calcolo di modello a shell esistente per i livelli12C*(2+, 3−). Gli effetti di spin per lo scattering di protoni a momenti trasferiti piccoli. Il calcolo «esatto» con la formula di Glauber dà un accordo eccellente con l’esperimento a piccoli momenti trasversi. Perq 2>5 fm−2, i risultati del calcolo sono troppo piccoli per lo stato 2+ e troppo grandi per il 3−. I risultati «esatti» sono confrontati con due versioni approssimate della teoria di Glauber.

Реэюме

Модель Глаубера применяется к неупругому рассеянию протонов. Выводится форм-фактор злектромагнитных переходов. Предлагается улучщение оболочечной модели для12C* (2+, 3−). Обсуждаются спиновые зффекты при рас-сэянии протонов с малыми передаваемыми импульсами. Обнаружено, что зти зффгкты общясняют сушествуюшее расхождение при описании 3− воэбуждения. Аккуратное испольэование формулы Глаубера дает хорощее согласие с зкспериментами по рассеянию протонов при малых передаваемых импульсах. Дляq 2>5 фм−2 вычисленные реэультаты слищком малы для 2+ воэбуждения и слищком велики для 3−. «Точные» реэультаты сравниваются с двумя приближенными вариантами теории Глаубера.

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Author notes

  1. M. Gmitro

    Present address: J.I.N.R. (Dubna), 101000 Head Post Office, P.O. Box 79, Moscow

  2. L. Hambro

    Present address: Institute of Physics, University of Oslo, P.O. Box 1049, Oslo 3, Norway

Authors and Affiliations

  1. Istituto di Fisica Teorica dell’Università, Miramare (Trieste)

    G. Alberi

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy

    G. Alberi

  3. Institut of Nuclear Physics, Czechoslovak Academy of Sciences, CS 250 68, Řež, Czechoslovakia

    M. Gmitro

  4. CERN, Geneva

    L. Hambro

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  1. G. Alberi
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  3. L. Hambro
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Alberi, G., Gmitro, M. & Hambro, L. Proton and electron inelastic scattering and the shell model for12C. Nuov Cim A 38, 239–259 (1977). https://doi.org/10.1007/BF02730022

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  • DOI: https://doi.org/10.1007/BF02730022

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