The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Structure and Rotations of the Hoyle State
Open accessAbstract
The excited state of the (12)C nucleus known as the "Hoyle state" constitutes one of the most interesting, difficult, and timely challenges in nuclear physics, as it plays a key role in the production of carbon via fusion of three alpha particles in red giant stars. In this Letter, we present ab initio lattice calculations which unravel the structure of the Hoyle state, along with evidence for a low-lying spin-2 rotational excitation. For the (12)C ground state and the first excited spin-2 state, we find a compact triangular configuration of alpha clusters. For the Hoyle state and the second excited spin-2 state, we find a "bent-arm" or obtuse triangular configuration of alpha clusters. We also calculate the electromagnetic transition rates between the low-lying states of (12)C.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Modern theory of nuclear forces
Epelbaum, E., Hammer, H.-W., & Meißner, U.-G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1773 · Cited by 1,883
Self-citationEnergy levels of light nuclei A = 11–12
Ajzenberg-Selove, F. (1975) · Nuclear Physics A · doi:10.1016/0375-9474(75)90211-0 · Cited by 1,345
On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of Nuclei
Wigner, E. (1937) · Physical Review · doi:10.1103/physrev.51.106 · Cited by 945
On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel.
Hoyle, F. (1954) · The Astrophysical Journal Supplement Series · doi:10.1086/190005 · Cited by 669
Ab Initio Calculation of the Hoyle State
Epelbaum, E., Krebs, H., Lee, D., & Meißner, U.-G. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.192501 · Cited by 422
Self-citationLattice simulations for few- and many-body systems
Lee, D. (2009) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2008.12.001 · Cited by 284
Self-citationCook, C. W., Fowler, W. A., Lauritsen, C. C., & Lauritsen, T. (1957) · Physical Review · doi:10.1103/physrev.107.508 · Cited by 248
Nuclear Reactions in Stars Without Hydrogen.
Salpeter, E. E. (1952) · The Astrophysical Journal · doi:10.1086/145546 · Cited by 181
Lattice Effective Field Theory Calculations for A=3 , 4, 6, 12 Nuclei
Epelbaum, E., KREBS, H., Lee, D., & Meißner, U.-G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.142501 · Cited by 104
Self-citationMüller, H.-M., Koonin, S. E., Seki, R., & van Kolck, U. (2000) · Physical Review C · doi:10.1103/physrevc.61.044320 · Cited by 82
Cited by
Quantum Monte Carlo methods for nuclear physics
Carlson, J., Gandolfi, S., Pederiva, F., Pieper, S. C., Schiavilla, R., Schmidt, K. E., & Wiringa, R. B. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.1067 · Cited by 818
A Guided Tour of ab initio Nuclear Many-Body Theory
Hergert, H. (2020) · Frontiers in Physics · doi:10.3389/fphy.2020.00379 · Cited by 269
The degree of fine-tuning in our universe — and others
Adams, F. C. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.02.001 · Cited by 62
Metadata
- Authors
- Epelbaum, E., Krebs, H., Lähde, T. A., Lee, D., & Meißner, U.-G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-12-17
- Volume
- 109
- Issue
- 25
- Pages
- 252501-252501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1974575458
- Cited by
- 324
- References
- 14
- FWCI
- 20.93
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Structure and Rotations of the Hoyle State. https://app.cochat.ai/papers/10.1103/physrevlett.109.252501
- The paper
- Epelbaum, E., Krebs, H., Lähde, T. A., Lee, D., & Meißner, U.-G. (2012). Structure and Rotations of the Hoyle State. Physical Review Letters. https://doi.org/10.1103/physrevlett.109.252501
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.