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Title: Ab Initio Calculation of the Hoyle State

Abstract

The Hoyle state plays a crucial role in the helium burning of stars heavier than our Sun and in the production of carbon and other elements necessary for life. This excited state of the carbon-12 nucleus was postulated by Hoyle as a necessary ingredient for the fusion of three alpha particles to produce carbon at stellar temperatures. Although the Hoyle state was seen experimentally more than a half century ago nuclear theorists have not yet uncovered the nature of this state from first principles. In this Letter we report the first ab initio calculation of the low-lying states of carbon-12 using supercomputer lattice simulations and a theoretical framework known as effective field theory. In addition to the ground state and excited spin-2 state, we find a resonance at -85(3) MeV with all of the properties of the Hoyle state and in agreement with the experimentally observed energy.

Authors:
;  [1];  [2];  [3];  [4]
  1. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44870 Bochum (Germany)
  2. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)
  3. Helmholtz-Institut fuer Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universitaet Bonn, D-53115 Bonn (Germany)
  4. (Germany)
Publication Date:
OSTI Identifier:
21538327
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 106; Journal Issue: 19; Other Information: DOI: 10.1103/PhysRevLett.106.192501; (c) 2011 American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALPHA PARTICLES; CARBON; CARBON 12; COMPUTERIZED SIMULATION; GROUND STATES; HELIUM BURNING; LATTICE FIELD THEORY; MESONS; SPIN; SUN; ANGULAR MOMENTUM; BOSONS; CARBON ISOTOPES; CHARGED PARTICLES; CONSTRUCTIVE FIELD THEORY; ELEMENTARY PARTICLES; ELEMENTS; ENERGY LEVELS; EVEN-EVEN NUCLEI; FIELD THEORIES; HADRONS; IONIZING RADIATIONS; ISOTOPES; LIGHT NUCLEI; MAIN SEQUENCE STARS; NONMETALS; NUCLEI; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; RADIATIONS; SIMULATION; STABLE ISOTOPES; STAR BURNING; STARS

Citation Formats

Epelbaum, Evgeny, Krebs, Hermann, Lee, Dean, Meissner, Ulf-G., and Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich. Ab Initio Calculation of the Hoyle State. United States: N. p., 2011. Web. doi:10.1103/PHYSREVLETT.106.192501.
Epelbaum, Evgeny, Krebs, Hermann, Lee, Dean, Meissner, Ulf-G., & Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich. Ab Initio Calculation of the Hoyle State. United States. doi:10.1103/PHYSREVLETT.106.192501.
Epelbaum, Evgeny, Krebs, Hermann, Lee, Dean, Meissner, Ulf-G., and Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich. Fri . "Ab Initio Calculation of the Hoyle State". United States. doi:10.1103/PHYSREVLETT.106.192501.
@article{osti_21538327,
title = {Ab Initio Calculation of the Hoyle State},
author = {Epelbaum, Evgeny and Krebs, Hermann and Lee, Dean and Meissner, Ulf-G. and Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich},
abstractNote = {The Hoyle state plays a crucial role in the helium burning of stars heavier than our Sun and in the production of carbon and other elements necessary for life. This excited state of the carbon-12 nucleus was postulated by Hoyle as a necessary ingredient for the fusion of three alpha particles to produce carbon at stellar temperatures. Although the Hoyle state was seen experimentally more than a half century ago nuclear theorists have not yet uncovered the nature of this state from first principles. In this Letter we report the first ab initio calculation of the low-lying states of carbon-12 using supercomputer lattice simulations and a theoretical framework known as effective field theory. In addition to the ground state and excited spin-2 state, we find a resonance at -85(3) MeV with all of the properties of the Hoyle state and in agreement with the experimentally observed energy.},
doi = {10.1103/PHYSREVLETT.106.192501},
journal = {Physical Review Letters},
number = 19,
volume = 106,
place = {United States},
year = {Fri May 13 00:00:00 EDT 2011},
month = {Fri May 13 00:00:00 EDT 2011}
}