arXiv subjects

Yu. A. Lurie

Publications and source records attributed to Yu. A. Lurie.

3 recordsLinked to original sources

arXiv2003

Loosely bound three-body nuclear systems in the J-matrix approach

We discuss the extension of the oscillator-basis $J$-matrix formalism on the case of true $A$-body scattering. The formalism is applied to loosely-bound $^{11}$Li and $^6$He nuclei within three-body cluster models ${\rm {^9Li}}+n+n$ and $α+n+n$. The $J$-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the $S$-matrix poles associated with the $^{11}$Li and $^6$He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the $n{-}α$ interaction on the properties of the $^6$He nucleus is examined.

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arXiv1995

$A$--Dependence of $ΛΛ$ Bond Energies in Double---$Λ$ Hypernuclei

The $A$-dependence of the bond energy $ΔB_{ΛΛ}$ of the ${ΛΛ}$ hypernuclear ground states is calculated in a three-body ${Λ+ Λ+ {^{A}Z}}$ model and in the Skyrme-Hartree-Fock approach. Various ${ΛΛ}$ and $Λ$-nucleus or ${ΛN}$ potentials are used and the sensitivity of $ΔB_{ΛΛ}$ to the interactions is discussed. It is shown that in medium and heavy ${ΛΛ}$ hypernuclei, $ΔB_{ΛΛ}$ is a linear function of $r_Λ^{-3}$, where $r_Λ$ is rms radius of the hyperon orbital. It looks unlikely that it will be possible to extract ${ΛΛ}$ interaction from the double-$Λ$ hypernuclear energies only, the additional information about the $Λ$-core interaction, in particular, on $r_Λ$ is needed.

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arXiv1994

Soft dipole mode in $^{11}$Li and three body continuum

Properties of the neutron rich $^{11}$Li nucleus are calculated in the framework of the cluster model $^{9}$Li $+n+n$. The formalism of the harmonic oscillator representation of the scattering theory is used for the description of bound and continuum spectrum states in the three-body-democratic-decay approximation. It is shown that this approach allows one to take into account adequately the long asymptotic tail of the $^{11}$Li wave function ({\em neutron halo}) and to reproduce correctly the binding energy, radius and $^{11}$Li electromagnetic dissociation cross-section on target nuclei. The shape and the energy position of the $B(E1)$ peak corresponding to the soft dipole mode are also in agreement with experiment.

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