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On the general form of the double and triple angular correlation following the sequential decay of the heavy reaction products

Об общей форме двойных и тройных угловых корреляций при последовательном распаде продуктов реакции тяжелых ионов

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Il Nuovo Cimento A (1965-1970)

Summary

The general form of the double and triple differential cross-sections for the sequential three-body reaction X(a,b) Y(c)Z and four-body reaction X(a,b)Y(c)Z(f)R, respectively, are derived in the one-level excitation hypothesis. The transition amplitudes for the sequential processes are related to the scattering matrixS. Moreover, theoretical expressions for the b-c angular correlation are given under the hypothesis that the excited and partly polarized nucleus Y is produced in heavy-ion deeply inelastic collisions.

Riassunto

Si deducono le forme generali della sezione d'urto differenziale doppia e tripla per reazioni a tre e quattro particelle finali rispettivamente X(a, b)Y(c)Z e X(a, b)Y(c)Z(f)R nelle ipotesi di decadimento sequenziali e di eccitazione di un solo livello. Le ampiezze di transizione per i processi sequenziali vengono date in funzione della matrice di scatteringS. Inoltre sono date le espressioni teoriche per la correlazione angolare b-c nell'ipotesi che il nucleo Y eccitato e parzialmente polarizzato sia prodotto in collisioni profondamente inelastiche tra ioni pesanti.

Резюме

Предполагая один уровень возбуждения, выводятся общие формы для дважды и трижды дифференциальных поперечных сечений для носледовательной трехчастичной реакции X(a, b) Y(c)Z и четырехчастичной реакции X(a, b)Y(c)Z(f)R. Амплитуды перехода для последовательных процессов связаны с матрицей рассеянияS. Кроме того, приводятся теоретические выражения для b-c угловой корреляции, предполагая, что в глубоко неупругих соударениях тяжелых ионов образуется возбужденное и частично поляризованное ядро У.

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  1. A. Strazzeri

    Present address: University of Catania, Catania, Italy

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  1. Centre de Recherches Nucléaires and Université Louis Pasteur, Strasbourg, France

    A. Strazzeri

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Strazzeri, A. On the general form of the double and triple angular correlation following the sequential decay of the heavy reaction products. Nuov Cim A 52, 323–350 (1979). https://doi.org/10.1007/BF02770902

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