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Mazur, I. A.

Publications and source records attributed to Mazur, I. A..

SS-HORSE extension of the no-core shell model: Application to resonances in He 7

Theoretical ab initio studies of resonances in the unbound 7 He nucleus are presented. We perform no-core shell-model calculations with NN interactions Daejeon16 and JISP16 and utilize the SS-HORSE method to calculate the S matrix for two-body channels n + 6 He and n + 6 He* with 6He respectively in the ground and excited 2 + states as well as for the four-body democratic decay channel 4 He + n + n + n. The resonant energies and widths are obtained by numerical location of the S-matrix poles. Here, we describe all experimentally known 7 He resonances and suggest an interpretation of an observed wide resonance of unknown spin-parity.

6 ≤ A ≤ 19↗

Description of Continuum Spectrum States of Light Nuclei in the Shell Model

The SS-HORSE method is applied to describe the scattering of nucleons by light nuclei based on calculations within the No-Core Shell Model with JISP16 and Daejeon16 NN interactions. The resonant states in {sup 5}He, {sup 5}Li, and {sup 7}He nuclei have been investigated. The SS-HORSE method generalized to the case of the democratic decay is also applied to study a four-neutron system (tetraneutron). The calculations with JISP16 and Daejeon16 and with chiral NN interactions indicate the existence of a rather narrow low-energy tetraneutron resonance.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Nucleon- α scattering and resonances in 5 He and 5 Li with JISP16 and Daejeon16 NN interactions

The approach called the single-state harmonic oscillator representation of scattering equations (SS-HORSE) to analyze resonant states is generalized to the case of charged particle scattering by using the analytical properties of partial scattering amplitudes and is applied to the study of resonant states in the 5 Li nucleus and nonresonant s-wave proton-α scattering within the no-core shell model using the JISP16 and Daejeon16 NN interactions.We present also the results of calculations of neutron-α scattering and resonances in the 5 He nucleus with Daejeon16 and compare with results published previously using JISP16.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Description of resonant states in the shell model

A technique for describing scattering states within the nuclear shell model is proposed. This technique is applied to scattering of nucleons by particles based on ab initio No-Core Shell Model calculations of {sup 5}He and {sup 5}Li nuclei with JISP16 NN interaction.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Shell model states in the continuum

Here 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 ℏΩ. We make use of simple expressions for the S matrix at eigenstates of a finite (truncated) Hamiltonian matrix in the oscillator basis obtained in the HORSE (J-matrix) formalism of quantum scattering theory. The validity of the suggested approach is verified in calculations with model Woods-Saxon potentials and applied to calculations of nα resonances and nonresonant scattering using the no-core shell model.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Prediction for a Four-Neutron Resonance

Here, we utilize various ab initio approaches to search for a low-lying resonance in the four-neutron (4n) system using the JISP16 realistic NN interaction. Our most accurate prediction is obtained using a J-matrix extension of the no-core shell model and suggests a 4n resonant state at an energy near E r = 0.8 MeV with a width of approximately Γ = 1.4 MeV.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗