Monopole excitation of the Hoyle state and linear-chain state in C12

Y. Funaki
Phys. Rev. C 94, 024344 – Published 30 August 2016

Abstract

Background: Two new Jπ=0+ states are recently observed a few MeV above the Hoyle state (the second 0+ state in C12). Their characteristics are only briefly discussed in theory and are still mysterious.

Purpose: I give for the first time a comprehensive understanding of the structures of the 0+ states by analyzing their wave functions and discuss relationship with the Hoyle state, similarities, and differences between the states.

Method: I extend a microscopic α-cluster model called the Tohsaki-Horiuchi-Schuck-Röpke (THSR) wave function so as to incorporate the 2α+α asymmetric configuration explicitly. The so-called r2-constraint method to effectively eliminate spurious continuum components is also used.

Results: The 03+ state is shown to have a very large squared overlap with a single configuration of the extended THSR wave function in an orthogonal space to the Hoyle state as well as to the ground state. The 04+ state has a maximal squared overlap with a single extended THSR wave function with an extremely prolately deformed shape.

Conclusions: The 03+ state appears as a family of the Hoyle state to have a higher nodal structure in the internal motions of the 3α clusters, due to the orthogonalization to the Hoyle state. The 04+ state dominantly has a linear-chain structure, where the 3α clusters move freely in a nonlocalized way, like a one-dimensional gas of the 3α clusters.

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  • Received 12 July 2016

DOI:https://doi.org/10.1103/PhysRevC.94.024344

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Y. Funaki

  • School of Physics and Nuclear Energy Engineering and IRCNPC, Beihang University, Beijing 100191, China

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Issue

Vol. 94, Iss. 2 — August 2016

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