Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

Abstract

We present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and the resulting lattice phase shifts are more accurate than in previous studies. We present results for the neutron-proton system up to next-to-next-to-next-to-leading order for lattice spacings of $1.97$, $1.64$, $1.32$, and $0.99\mathrm{fm}$. Our results provide a pathway to $\text{ab initio}$ lattice calculations of nuclear structure, reactions, and thermodynamics with accurate and systematic control over the chiral nucleon-nucleon force.

arXiv comment24 pages, 14 figures and 2 tables. Published in Physical Review C

References in corpus (22)

• Modern Theory of Nuclear Forces
• The two-nucleon system at next-to-next-to-next-to-leading order
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Ab initio calculation of the Hoyle state
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Structure and rotations of the Hoyle state
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Lattice simulations for few- and many-body systems
• Quantifying truncation errors in effective field theory
• Ab initio alpha-alpha scattering
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• A recipe for EFT uncertainty quantification in nuclear physics
• Nuclear binding near a quantum phase transition
• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Precise determination of lattice phase shifts and mixing angles
• Nucleon-deuteron scattering using the adiabatic projection method
• Chiral effective field theory on the lattice at next-to-leading order
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Temperature-dependent errors in nuclear lattice simulations
• The Tjon Band in Nuclear Lattice Effective Field Theory

Cited by in corpus (19)

• Wavefunction matching for solving quantum many-body problems
• Perturbative quantum Monte Carlo method for nuclear physics
• Hidden spin-isospin exchange symmetry
• Impurity Lattice Monte Carlo for Hypernuclei
• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C
• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Galilean invariance restoration on the lattice
• An update on fine-tunings in the triple-alpha process
• Lattice Effective Field Theory Simulations of Nuclei
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Lattice Improvement in Lattice Effective Field Theory
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Worldline Monte Carlo method for few body nuclear physics
• Effective Field Theories for Neutron Stars Physics
• Ab initio study of the halo structure in ${}^{11}$Be
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations