A. M. Shirokov

Novel NN interaction and the spectroscopy of light nuclei

Abstract Nucleon–nucleon ( NN ) phase shifts and the spectroscopy of A ⩽ 6 nuclei are successfully described by an inverse scattering potential that is separable with oscillator form factors.

Nucleon-nucleon interaction in the J-matrix inverse scattering approach and few-nucleon systems

The nucleon–nucleon interaction is constructed by means of the J-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in the oscillator basis in uncoupled and coupled waves, respectively. The obtained interaction is very accurate in reproducing the NN scattering data and deuteron properties. The interaction is used in the no-core shell model calculations of 3H and 4He nuclei. The resulting binding energies of 3H and 4He are very close to experimental values.

True many-particle scattering in the oscillator representation

Scattering theory in the oscillator representation is generalized to true many-particle scattering

Inverse scattering J-matrix approach to nucleon-nucleus scattering and the shell model

The J-matrix inverse scattering approach can be used as an alternative to a conventional R-matrix in analyzing scattering phase shifts and extracting resonance energies and widths from experimental data. A great advantage of the J-matrix is that it provides eigenstates directly related to the ones obtained in the shell model in a given model space and with a given value of the oscillator spacing ({Dirac_h}/2{pi}){omega}. This relationship is of particular interest in the cases when a many-body system does not have a resonant state or the resonance is broad and its energy can differ significantly from the shell-model eigenstate. We discuss the J-matrix inverse scattering technique, extend it for the case of charged colliding particles, and apply it to the analysis of n{alpha} and p{alpha} scattering. The results are compared with the no-core shell-model calculations of {sup 5}He and {sup 5}Li.

A -dependence of ΛΛ bond energies in double-Λ hypernuclei

The A-dependence of the bond energy ΔBΛΛ of the ΛΛ hypernuclear ground states is calculated in a three-body Λ + Λ +AZ model and in the Skyrme-Hartree-Fock approach. Various ΛΛ and Λ-nucleus or ΛN potentials are used and the sensitivity of ΔBΛΛ to the interactions is discussed. It is shown that in medium and heavy ΛΛ hypernuclei, ΔBΛΛ is a linear function of rΛ− 3, where rΛ 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 rΛ is needed.

Shell Model States in the Continuum

We suggest a method for calculating scattering phase shifts and energies and widths of resonances which utilizes only eigenenergies obtained in variational calculations with oscillator basis and their dependence on oscillator basis spacing

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

\hbar\Omega

Ab initio effective interactions for sd-shell valence nucleons

. We make use of simple expressions for the

NN Interaction JISP16: Current Status and Prospect

S

NN potentials from the J-matrix inverse scattering approach

-matrix at eigenstates of a finite (truncated) Hamiltonian matrix in the oscillator basis obtained in the HORSE (