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Characteristics of the discrete and continuous spectra of the 4He + Λ system

L. D. BlokhintsevSkobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119992, RussiaV. EremenkoSkobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119992, RussiaB. F. IrgazievNational University of Uzbekistan, Tashkent, 700174, UzbekistanYu. V. OrlovSkobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119992, Russia
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Аннотация

In view of projected experiments on the production of relativistic hypernuclei and the investigation of reactions induced by them, the characteristics of the hypernucleus and low-energy parameters of the Λ 5 He hyperon scattering from 4He were calculated. The interaction of the Λ hyperon and the α particle is described by the effective Λα potential in two different forms. The root-mean-square radius of the Λ hyperon in the Λ 5 He hypernucleus, the vertex constant for the Λ 5 He ↔ 4He + Λ process, and the corresponding asymptotic normalization coefficient of the Λ 5 He wave function were calculated by solving the radial Schrödinger equation. The scattering length and the effective radius for the scattering of Λ from 4He were calculated by two methods. The calculated characteristics turn out to be sensitive to the form of the Λα potential.

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