The Hoyle state in Nuclear Lattice EFT

Abstract

We review the calculation of the Hoyle state of ${}^{12}$C in Nuclear Lattice Effective Field Theory (NLEFT) and its anthropic implications for the nucleosynthesis of ${}^{12}$C and ${}^{16}$O in red giant stars. We also review the extension of NLEFT to the regime of medium-mass nuclei, with emphasis on the determination of the ground-state energies of the alpha nuclei ${}^{16}$O, ${}^{20}$Ne, ${}^{24}$Mg and ${}^{28}$Si by means of Euclidean time projection. Finally, we review recent NLEFT results for the spectrum, electromagnetic properties, and alpha-cluster structure of ${}^{16}$O.

9 pages, 1 figure, 5 tables, invited talk at the DAE symposium on nuclear physics, December 2-6 2013, Anushakti Nagar, Mumbai, India. To appear in Pramana - Journal of Physics

References in corpus (19)

• Modern Theory of Nuclear Forces
• Alpha cluster condensation in 12C and 16O
• Ab initio calculation of the Hoyle state
• Structure and rotations of the Hoyle state
• Lattice simulations for few- and many-body systems
• Evolution of shell structure in neutron-rich calcium isotopes
• Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Lattice Effective Field Theory for Medium-Mass Nuclei
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Pair decay width of the Hoyle state and carbon production in stars
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Dependence of the triple-alpha process on the fundamental constants of nature
• Sensitivity of the C and O production on the 3-alpha rate
• Nuclear σ-terms and Scalar-Isoscalar WIMP-Nucleus Interactions from Lattice QCD

Cited by in corpus (4)

• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Production and anisotropic flow of thermal photons in collision of $\alpha$-clustered carbon with heavy nuclei at relativistic energies
• Lattice methods and effective field theory
• Nuclear Lattice Simulations using Symmetry-Sign Extrapolation