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Monopole transition strength function of C12 in a three-α model

Souichi Ishikawa
Phys. Rev. C 94, 061603(R) – Published 30 December 2016

Abstract

The energy-level structure of the C12 nucleus at a few MeV above the three-α(3α) threshold is still unsatisfactorily known. For instance, most microscopic calculations predicted that there exist one 0+ state in this energy region besides the well-known Hoyle state, whereas some experimental and theoretical studies show the existence of two 0+ states. In this paper, I will take a 3α-boson model for bound and continuum states in C12 and study a transition process from the C12(01+) ground state to 3α0+ continuum states by the electric monopole (E0) operator. The strength distribution of the process will be calculated as a function of 3α energy using the Faddeev three-body theory. The Hamiltonian for the 3α system consists of two- and three-α potentials, and some three-α potentials with different range parameters will be examined. Results of the strength function show a double-peaked bump at the low-energy region, which can be considered as two 0+ states. The peak at higher energy may originate from a 3α resonant state. However, it is unlikely that the peak at the lower energy is related to a resonant state, which suggests that it may be due to a so-called “ghost anomaly.” Distributions of decaying particles are also calculated.

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  • Received 23 November 2016

DOI:https://doi.org/10.1103/PhysRevC.94.061603

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Souichi Ishikawa*

  • Science Research Center, Hosei University, 2-17-1 Fujimi, Chiyoda, Tokyo 102-8160, Japan

  • *ishikawa@hosei.ac.jp

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Issue

Vol. 94, Iss. 6 — December 2016

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