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The coupled-channel method and the integral-equation formalism for nuclear rearrangement reactions

Метод связанных каналов и формализм интегральных уравнений для ядерных реакций перегруппировки

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Il Nuovo Cimento A (1965-1970)

Summary

The standard coupled-reaction-channel formalism for nuclear rearrangement reactions is compared with bound-state approximations obtained by starting from modernN-body scattering theory. This comparison will allow us to clarify the origin of nonorthogonality terms in standard coupled-reaction-channel equations as well as the reason of their absence inN-body formalisms. Contributions neglected by the bound-state approximation are taken into account in a three-body context by introducing interacting-particle representations. Thus we can also establish interrelations between different three-body formalisms.

Riassunto

L’usuale formalismo dei canali di reazione accoppiati per le reazioni nucleari con riarrangiamento è eonfrontato con approssimazioni di stato legato, introdotte nell’ambto della moderna teoria dell’urto aN corpi. Questo confronto consente sia di chiarire l’origine dei termini di non ortogonalità nelle equazioni con canali di reazione accoppiati, sia di comprendere le ragioni dell’assenza di tali termini nei formalismi aN corpi. I contributi trascurati in approssimazione di stato legato sono presi in considerazione in un contesto a tre corpi nell’ambito delle rappresentazioni a particelle interagenti. Per tale via si possono anche stabilire nuove relazioni tra formulazioni diverse del problema a tre corpi.

Резюме

Стандартный формализм связанных каналов для ядерных реакций перегруппировки сравнивается с приближениями связанных состояний, которые получаются из современной N-частичной теории рассеяния. Это сравнение позволяет нам выяснить происхождение неортогональных членов в стандартных уравнениях связанных каналов, а также понять причину отсутствия этих членов в N-частичных формализмах. Вводя представление взаимодействующих частиц, в трех-частичном контексте учитываются вклады, которыми пренебрегается в приближении связанных состояний. Таким образом, мы можем также установить связь между различными трех-частичными формализмами.

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Authors and Affiliations

  1. Istituto di Fisica dell’ Università, 35100, Padova, Italia

    G. Cattapan & V. Vanzani

  2. Sezione di Padova, Istituto Nazionale di Fisica Nucleare, Italia

    G. Cattapan & V. Vanzani

  3. Laboratori Nazionali di Legnaro, Legnaro (Padova), Italia

    G. Cattapan & V. Vanzani

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  1. G. Cattapan
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  2. V. Vanzani
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Cattapan, G., Vanzani, V. The coupled-channel method and the integral-equation formalism for nuclear rearrangement reactions. Nuov Cim A 62, 226–237 (1981). https://doi.org/10.1007/BF02770913

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