Ab initio alpha-alpha scattering

Abstract

Processes involving alpha particles and alpha-like nuclei comprise a major part of stellar nucleosynthesis and hypothesized mechanisms for thermonuclear supernovae. In an effort towards understanding alpha processes from first principles, we describe in this letter the first ab initio calculation of alpha-alpha scattering. We use lattice effective field theory to describe the low-energy interactions of nucleons and apply a technique called the adiabatic projection method to reduce the eight-body system to an effective two-cluster system. We find good agreement between lattice results and experimental phase shifts for S-wave and D-wave scattering. The computational scaling with particle number suggests that alpha processes involving heavier nuclei are also within reach in the near future.

6 pages, 6 figures

References in corpus (24)

• Structure and rotations of the Hoyle state
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• alpha-alpha Scattering in Halo Effective Field Theory
• The Magnetic Structure of Light Nuclei from Lattice QCD
• Ab initio calculation of the $np\to d\gamma$ radiative capture process
• ${}^6$He nucleus in halo effective field theory
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• Radiative Neutron Capture on Lithium-7
• Constraining the 6.05 MeV 0${}^{+}$ and 6.13 MeV 3${}^{-}$ cascade transitions in the ${}^{12}$C($\alpha$,$\gamma$)${}^{16}$O reaction using the Asymptotic Normalization Coefficients
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Causality constraints for charged particles
• Precise determination of lattice phase shifts and mixing angles
• Spectral convexity for attractive SU(2N) fermions
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Fermion-dimer scattering using an impurity lattice Monte Carlo approach and the adiabatic projection method
• Asymptotic normalization coefficients of resonant and bound states from the phase shifts for $\alpha \alpha$ and ${\alpha }^{12}\mathrm{C}$ scattering
• Regularization Methods for Nuclear Lattice Effective Field Theory
• Breaking and restoration of rotational symmetry for irreducible tensor operators on the lattice

Cited by in corpus (104)

• Nuclear effective field theory: status and perspectives
• Microscopic Clustering in Light Nuclei
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• The 12C(a,g)16O reaction and its implications for stellar helium burning
• 50 Years of Quantum Chromodynamics
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Eigenvector continuation with subspace learning
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Symmetry-guided large-scale shell-model theory
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Nuclear binding near a quantum phase transition
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Physics of nuclei: Key role of an emergent symmetry
• Optical potential from first principles
• Prediction for a four-neutron resonance
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Ab initio predictions for polarized DT thermonuclear fusion
• Leading order relativistic chiral nucleon-nucleon interaction
• From bound states to the continuum
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• What is ab initio in nuclear theory?
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Alpha particle clusters and their condensation in nuclear systems
• Volume Dependence of N-Body Bound States
• Nucleon localization and fragment formation in nuclear fission
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Two-proton emission and related phenomena
• Microscopic optical potentials for calcium isotopes
• New Ideas in Constraining Nuclear Forces
• Structure and decays of nuclear three-body systems: the Gamow coupled-channel method in Jacobi coordinates
• Shell-model coupled-cluster method for open-shell nuclei
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Violations of discrete space-time symmetries in chiral effective field theory
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Power counting in chiral effective field theory and nuclear binding
• Precise determination of lattice phase shifts and mixing angles
• Nucleon-deuteron scattering using the adiabatic projection method
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• Perturbative quantum Monte Carlo method for nuclear physics
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Deep-neural-network approach to solving the ab initio nuclear structure problem
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Challenges in Nuclear Structure Theory
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• Extracting free-space observables from trapped interacting clusters
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Projected Cooling Algorithm for Quantum Computation
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Clustering of Four-Component Unitary Fermions
• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Few-body bound states and resonances in finite volume
• Low-energy bound states, resonances, and scattering of light ions
• Galilean invariance restoration on the lattice
• Nuclear scattering via quantum computing
• The Tjon Band in Nuclear Lattice Effective Field Theory
• Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Coulomb Excitation of Deuteron in Peripheral Collisions with a Heavy Ion
• Alpha-alpha scattering in the Multiverse
• Asymptotic characteristics of decay channels of light nuclei states in the ab initio approach
• $\alpha$-cluster structures above double shell closures via double-folding potentials from chiral effective field theory
• Scattering phase shifts from a quantum computer
• The $B=5$ Skyrmion as a two-cluster system
• Second-Order Perturbation Theory in Continuum Quantum Monte Carlo Calculations
• Effective interactions between nuclear clusters
• Lattice Effective Field Theory Simulations of Nuclei
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Effective forces between quantum bound states
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Few-Body Route to One-Dimensional Quantum Liquids
• Nuclear Resonances, Scattering and Reactions from First Principles: Progress and Prospects
• How to renormalize coupled cluster theory
• Reaction rate weighted multilayer nuclear reaction network
• Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Resonance properties including asymptotic normalization coefficients deduced from phase-shift data without the effective-range function
• Perspectives on few-body cluster structures in exotic nuclei
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• The triton lifetime from nuclear lattice effective field theory
• Lattice methods and the nuclear few- and many-body problem
• High-precision nuclear forces from chiral EFT: State-of-the-art, challenges and outlook
• Lattice Improvement in Lattice Effective Field Theory
• Adiabatic projection method with Euclidean time subspace projection
• Towards modeling cluster structure of ${}^8$Be with chiral interaction
• Calculation of expectation values of operators in the Complex Scaling method
• Local two- and three-nucleon chiral interactions
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Neutron-nucleus dynamics simulations for quantum computers
• Ab initio models of atomic nuclei: challenges and new ideas
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Renormalization of a Contact Interaction on a Lattice
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
• Searching for the Tetraneutron Resonance on the Lattice
• Isovector giant dipole resonance mode with an improved propagation approach in the framework of EQMD model
• Quantum algorithms for optimal effective theory of many-body systems
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Recent developments in neutron-proton scattering with Lattice Effective Field Theory
• Towards the continuum coupling in nuclear lattice effective field theory I: A three-particle model