Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD

Abstract

We present a determination of nucleon-nucleon scattering phase shifts for l >= 0. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For l > 0, this is the first lattice QCD calculation using the Luscher finite-volume formalism. This required the design and implementation of novel lattice methods involving displaced sources and momentum-space cubic sinks. To demonstrate the utility of our approach, the calculations were performed in the SU(3)-flavor limit where the light quark masses have been tuned to the physical strange quark mass, corresponding to m_pi = m_K ~ 800 MeV. In this work, we have assumed that only the lowest partial waves contribute to each channel, ignoring the unphysical partial wave mixing that arises within the finite-volume formalism. This assumption is only valid for sufficiently low energies; we present evidence that it holds for our study using two different channels. Two spatial volumes of V ~ (3.5 fm)^3 and V ~ (4.6 fm)^3 were used. The finite-volume spectrum is extracted from the exponential falloff of the correlation functions. Said spectrum is mapped onto the infinite volume phase shifts using the generalization of the Luscher formalism for two-nucleon systems.

Added plots and expanded text to clarify discussions, particularly for extraction of the energies. Published version

References in corpus (16)

• Nuclear Force from Lattice QCD
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Three-body forces: From cold atoms to nuclei
• Toward the excited meson spectrum of dynamical QCD
• A relativistic, model-independent, three-particle quantization condition
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Evidence for a Bound H-dibaryon from Lattice QCD
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Multichannel one-to-two transition amplitudes in a finite volume
• $I=1$ and $I=2$ $\pi -\pi$ scattering phase shifts from $N_{\mathrm{f}}=2+1$ lattice QCD
• Hyperon-nucleon force from lattice QCD
• Rho resonance parameters from lattice QCD
• $\rho$ and $K^{\ast }$ resonances on the lattice at nearly physical quark masses and $N_f=2$
• Lattice QCD determination of patterns of excited baryon states
• Nuclear Reactions from Lattice QCD

Cited by in corpus (79)

• Hadronic molecules
• Scattering processes and resonances from lattice QCD
• Ab initio alpha-alpha scattering
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD
• Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Are two nucleons bound in lattice QCD for heavy quark masses? -- Consistency check with Lüscher's finite volume formula --
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• Towards grounding nuclear physics in QCD
• Hadrons and Nuclei
• Lattice QCD and baryon-baryon interactions: HAL QCD method
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Scattering amplitudes from finite-volume spectral functions
• Volume Dependence of N-Body Bound States
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Systematics of the HAL QCD Potential at Low Energies in Lattice QCD
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• New Ideas in Constraining Nuclear Forces
• The role of boundary conditions in quantum computations of scattering observables
• A variational study of two-nucleon systems with lattice QCD
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Solving relativistic three-body integral equations in the presence of bound states
• Charged multi-hadron systems in lattice QCD+QED
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Consistency between Lüscher's finite volume method and HAL QCD method for two-baryon systems in lattice QCD
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Baryon interactions from lattice QCD with physical quark masses -- Nuclear forces and $\Xi \Xi$ forces --
• Lattice operators for scattering of particles with spin
• Three relativistic neutrons in a finite volume
• Consistency checks for two-body finite-volume matrix elements: II. Perturbative systems
• Doubly magic nuclei from Lattice QCD forces at $M_{PS}=$469 MeV/c${}^2$
• Extrapolating Lattice QCD Results using Effective Field Theory
• Phase Unwrapping and One-Dimensional Sign Problems
• Few-body bound states and resonances in finite volume
• Lattice QCD input for nuclear structure and reactions
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
• Comparison of different source calculations in two-nucleon channel at large quark mass
• Sanity check for $NN$ bound states in lattice QCD with Lüscher's finite volume formula -- Exposing Symptoms of Fake Plateaux --
• First results of baryon interactions from lattice QCD with physical masses (1) -- General overview and two-nucleon forces --
• Two-baryon systems from HAL QCD method and the mirage in the temporal correlation of the direct method
• Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD
• Derivative Expansion of Wave Function Equivalent Potentials
• Small Bits of Cold Dense Matter
• Lüscher's finite volume test for two-baryon systems with attractive interactions
• Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables
• Spectrum of light nuclei in a finite volume
• Calm Multi-Baryon Operators
• Baryon interactions from lattice QCD with physical masses -- Overview and $S=0,-4$ sectors --
• Accessing high-momentum nucleons with dilute stochastic sources
• A Vision for the Science of Rare Isotopes
• Lattice QCD and Baryon-Baryon Interactions
• Towards high partial waves in lattice QCD with a dumbbell-like operator
• Di-nucleons do not form bound states at heavy pion mass
• Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering
• Light nuclei and nucleon form factors in $N_f=2+1$ lattice QCD
• Lattice methods and effective field theory
• Improved Constraints on the Variation of the Weak Scale from Big Bang Nucleosynthesis
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Perturbative application of next-to-leading order pionless EFT for $A\le 3$ nuclei in a finite volume
• Review of Neutral Naturalness
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
• A Closer Look in the Mirror: Reflections on the Matter/Dark Matter Coincidence
• The one-pion-exchange potential with contact terms from lattice QCD simulations
• Decoding Two-Particle States in QCD with Spatial Wavefunctions
• Operators for scattering of particles with spin
• $J/\psi$ -nucleon scattering in $P_c^{+}$ pentaquarks channel
• Efficient operators for studying higher partial waves
• Three neutrons from Lattice QCD
• Wavefunction-based operator optimization for two-hadron systems in lattice QCD