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

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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