Nuclear Reactions from Lattice QCD

Abstract

One of the overarching goals of nuclear physics is to rigorously compute properties of hadronic systems directly from the fundamental theory of strong interactions, Quantum Chromodynamics (QCD). In particular, the hope is to perform reliable calculations of nuclear reactions which will impact our understanding of environments that occur during big bang nucleosynthesis, the evolution of stars and supernovae, and within nuclear reactors and high energy/density facilities. Such calculations, being truly ab initio, would include all two-nucleon and three- nucleon (and higher) interactions in a consistent manner. Currently, lattice QCD provides the only reliable option for performing calculations of some of the low- energy hadronic observables. With the aim of bridging the gap between lattice QCD and nuclear many-body physics, the Institute for Nuclear Theory held a workshop on Nuclear Reactions from Lattice QCD on March 2013. In this review article, we report on the topics discussed in this workshop and the path planned to move forward in the upcoming years.

35 pages, 13 figures, 1 table, review article for the "Nuclear Reactions from Lattice QCD" workshop hosted by the Institute for Nuclear Theory on March 2013; version 2 includes updated references and extended discussion of previous work

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• $B\to K^{\ast }\gamma$: Penguins on the Lattice
• Lattice regularization for chiral perturbation theory
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Pion scattering in Wilson ChPT
• Chiral Pertubation Theory with lattice regularization
• Pion Scattering in Wilson Chiral Perturbation Theory
• Simple approximation for the starting-energy-independent two-body effective interaction with applications to 6Li
• Generalized Lüscher's Formula in Multichannel Baryon-Baryon Scattering
• Ground-state energy shift of n pions and m kaons in a finite volume
• Baryon masses at nonzero isospin/kaon density
• Lattice QCD and the two-photon decay of the neutral pion
• Lattice regularized chiral perturbation theory
• Lattice Theories with Nonlinearly Realized Chiral Symmetry
• Short Distance Repulsion Among Baryons

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• Baryons as relativistic three-quark bound states
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
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• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Three-body spectrum in a finite volume: the role of cubic symmetry
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Multichannel 0-to-2 and 1-to-2 transition amplitudes for arbitrary spin particles in a finite volume
• Towards grounding nuclear physics in QCD
• Massive photons: an infrared regularization scheme for lattice QCD+QED
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• Connecting physical resonant amplitudes and lattice QCD
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Few-fermion systems in one dimension: Ground- and excited-state energies and contacts
• On the Extraction of Low-energy Constants of Single- and Double-$\beta$ Decays from Lattice QCD: A Sensitivity Analysis
• Two-neutrino double-beta decay in pionless effective field theory from a Euclidean finite-volume correlation function
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• From QCD to Physical Resonances
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