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Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background

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arxiv nucl-th/0005045 v1 pith:PFUZXLM2 submitted 2000-05-16 nucl-th

V. Vasilevsky , A. V. Nesterov , F. Arickx , J. Broeckhove This is my paper · ORCID
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keywords algebraicmodelelementsmatrixpresentedscatteringtermsantisymmetrized
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A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the Algebraic Model. This means that the nuclear many-particle state and its asymptotic behaviour are expanded in terms of oscillator states of the intra-cluster coordinates. The Generating Function technique is used to optimize the calculation of matrix elements. In order to derive the dynamical equations, a multichannel version of the Algebraic Model is presented.

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  1. On three-cluster resonance structure of hypernuclei $_{\Lambda}^{7}$He, $_{\Lambda}^{7}$Li and $_{\Lambda}^{7}$Be

    nucl-th 2026-08 conditional novelty 6.0 of 10

    A three-cluster model predicts many narrow and broad resonance states, including states with widths below 10 keV, in the hypernuclei 7ΛHe, 7ΛLi and 7ΛBe.

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