Analysis of previous microscopic calculations for the second 0 + state in 12 C in terms of 3-α particle Bose-condensed state
By Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke. 2003
179 citations recorded by the source corpus.
The wave function of the second ${0}^{+}$ state of ${}^{12}\mathrm{C},$ which was obtained a long time ago by solving the microscopic $3\ensuremath{\alpha}$ problem, is shown to be almost completely equivalent to the wave function of the $3\ensuremath{\alpha}$ condensed state, which has been proposed recently by the present authors. This equivalence of the wave functions is shown to hold in two cases where different effective two-nucleon forces are adopted. This finding gives strong support for interpreting the second ${0}^{+}$ state of ${}^{12}\mathrm{C},$ which is the key state for the synthesis of ${}^{12}\mathrm{C}$ in stars (``Hoyle'' state), and which is one of the typical mysterious ${0}^{+}$ states in light nuclei, as a gaslike structure of three $\ensuremath{\alpha}$ particles, Bose condensed into an identical s-wave function.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0ea1a8c0300524846fb24b64751259bd89147515
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
- Martin Freer
- Dean Lee
- H. Horiuchi
- Y. Kanada-En’yo
- U. Meissner
- Evgeny Epelbaum
- H. Hammer
- Hermann Krebs
Citations in the corpus
- Microscopic clustering in light nuclei (2017, methodology): “…GCM wave function of Uegaki et al. (1977) and the 3α RGM wave function of Kamimura (1981) are each nearly equivalent to a single 3α THSR wave function (Funaki et al., 2003): jhΦð3α THSRÞjΦð3α GCM=RCMÞij2 ≈ 100%: ð5:10Þ Hence the 3α THSR wave functions reproduce the same Hoyle state experimental…”
- Comparing and contrasting nuclei and cold atomic gases (2013, unknown): “…we illustrate with details from the most well-known candidate, i.e. the Hoyle state of three α-particles in 12C which has about 90% overlap with α-particles in relative s-waves around the center-of-mass (Matsumura & Suzuki 2004, Suzuki & Takahashi 2002, Funaki et al. 2003, Chernykh et al. 2007).”