Systematic investigation of the Hoyle-analog states in light nuclei

V. S. Vasilevsky, K. Katō, and N. Takibayev
Phys. Rev. C 98, 024325 – Published 31 August 2018

Abstract

We investigate resonance states in three-cluster continuum of some light nuclei, Be9, B9, B10, B11, and C11. These nuclei are considered to have a three-cluster configuration consisting of two α particles and a neutron, proton, deuteron, triton, and nucleus He3, respectively. In this study, we make use of two different microscopic three-cluster models. The first model employs the hyperspherical harmonics basis to enumerate channels and describe three-cluster continuum. The second model is the well-known complex scaling method. The nucleon-nucleon interaction is modeled by the semirealistic Minnesota and Hasegawa-Nagata potentials. Our main aim is to find the Hoyle-analog states in these nuclei or, in other words, whether it is possible to synthesize these nuclei in a triple collision of clusters. We formulate the criteria for selecting such states and apply them to resonance states, emerged from our calculations. We found that there are resonance states obeying the formulated criteria which make possible syntheses of these nuclei in a stellar environment.

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  • Received 9 June 2018
  • Revised 26 July 2018

DOI:https://doi.org/10.1103/PhysRevC.98.024325

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

V. S. Vasilevsky*

  • Bogolyubov Institute for Theoretical Physics, Kiev 03143, Ukraine

K. Katō

  • Nuclear Reaction Data Centre, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan

N. Takibayev

  • Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

  • *vsvasilevsky@gmail.com
  • kato@nucl.sci.hokudai.ac.jp
  • takibayev@gmail.com

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Issue

Vol. 98, Iss. 2 — August 2018

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