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The Hoyle state in nuclear lattice effective field theory

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Abstract

We review the calculation of the Hoyle state of 12C in nuclear lattice effective field theory (NLEFT) and its anthropic implications in the nucleosynthesis of 12C and 16O in red giant stars. We also analyse the extension of NLEFT to the regime of medium-mass nuclei, with emphasis on the determination of the ground-state energies of the α nuclei 16O, 20Ne, 24Mg, and 28Si by Euclidean time projection. Finally, we discuss recent NLEFT results for the spectrum, electromagnetic properties, and α-cluster structure of 16O.

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Acknowledgements

The authors are grateful for the help in automated data collection by Thomas Luu. Partial financial support from the Deutsche Forschungsgemeinschaft (Sino-German CRC 110), the Helmholtz Association (Contract No. VH-VI-417), BMBF (Grant No. 05P12PDFTE), and the US Department of Energy (DE-FG02-03ER41260) is acknowledged. This work was further supported by the EU HadronPhysics3 project and funds provided by the ERC Project No. 259218 NUCLEAREFT. The computational resources were provided by the Jülich Supercomputing Centre at the Forschungszentrum Jülich and by RWTH Aachen.

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Authors and Affiliations

  1. Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany

    TIMO A LÄHDE & ULF-G MEISSNER

  2. Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44870, Bochum, Germany

    EVGENY EPELBAUM & HERMANN KREBS

  3. Department of Physics, North Carolina State University, Raleigh, NC, 27695, USA

    DEAN LEE

  4. Helmholtz-Institut für Strahlen-und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

    ULF-G MEISSNER

  5. JARA–High Performance Computing, Forschungszentrum Jülich, D-52425, Jülich, Germany

    ULF-G MEISSNER

  6. Department of Physics and Astronomy, Mississippi State University, Mississippi State, MS, 39762, USA

    GAUTAM RUPAK

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  1. TIMO A LÄHDE
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  2. EVGENY EPELBAUM
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LÄHDE, T.A., EPELBAUM, E., KREBS, H. et al. The Hoyle state in nuclear lattice effective field theory. Pramana - J Phys 83, 651–659 (2014). https://doi.org/10.1007/s12043-014-0861-z

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