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Particle-particle angular correlations in three-body reactions

Угловые корреляции между частицами в трехчастичных реакциях

  • Published:
Il Nuovo Cimento A (1965-1970)

An Erratum to this article was published on 01 October 1977

Summary

A description of the differential cross-section for three-body reactions with the assumption of sequential decay, X(a, b)Y*(c)Z, is given. In the case where the b-particle is detected at 0° relative to the incident beam, the angular correlation can be factorized into a term, depending on the first step of the process, which determines the populations of the various magnetic substates of Y*, and a term which describes 1) the angular distribution of the sequential decay, 2) the probability that the Y* nucleus decays through thec-channels, depending on the angular momenta and parities and on the detailed structure of the states of Y* respectively. Some applications of the formalism to the12C(6Li, d)16O(α)12C and13C(6Li, d)17O(α)13C reactions are given.

Riassunto

Si presenta una descrizione della sezione d’urto differenziale per una reazione a tre particelle finali nell’ipotesi di decadimento sequenziale a+X→b+Y*→b+c+Z. Nel caso semplificante in cui la particella b viene rivelata a 0° rispetto al fascio incidente la correlazione angolare viene data dal prodotto di una parte dipendente dall’interazione, che determina la popolazione dei sottostati del sistema intermedio Y*, e di una parte che descrive 1) la distribuzione angolare del decadimento, dipendente dal momento angolare e dalla parità dello stato Y*; 2) la probabilità di decadimento da tale stato nei vari stati di c e Z, dipendente dalla struttura interna del sistema Y*≡c+Z. Si considerano alcune applicazioni del formalismo alle reazioni12C(6Li, d)16O(α)12C e13C(6Li, d)17O(α)13C.

Резюме

Предлагается описание дифференциального поперечного сечения для тер∧частичных реакций в предположении последовательного распада X(a, b)Y*(c)Z. В случае, когда уастица в детектируется под 0° относительно падающего пучка, угловая корреляция может быть представлена в виде произведения двуз членов: члена, зависящего от первого этапа процесса, который определяет заселенность различных магнитных подсостояний Y*, и члена, который описывает: 1) угловое распределение последовательного распада; 2) вероятность того, что ядро Y* распадается черезc-каналы, завиящие соответственно от моментов и четностей и от подробной структуры состояний Y*. Приводятся некоторые приложения предложенного формализма для реакций12C(6Li, d)16O(α)12C и13C(6Li, d)17O(α)13C.

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Authors and Affiliations

  1. Istituto di Fisica Nucleare dell’Università, Catania

    A. Strazzeri

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

    A. Strazzeri

  3. Centro Siciliano di Fisica Nucleare e di Struttura della Materia, Catania

    A. Strazzeri

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  1. A. Strazzeri
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Additional information

This work has been financially supported partially by CRRN, CSFN/SM and INFN.

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An erratum to this article is available at http://dx.doi.org/10.1007/BF02730201.

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Strazzeri, A. Particle-particle angular correlations in three-body reactions. Nuov Cim A 34, 229–246 (1976). https://doi.org/10.1007/BF02786988

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