Scattering processes and resonances from lattice QCD

RA Briceno, JJ Dudek, RD Young - Reviews of Modern Physics, 2018 - APS
The vast majority of hadrons observed in nature are not stable under the strong interaction;
rather they are resonances whose existence is deduced from enhancements in the energy …

Multi-particle systems on the lattice and chiral extrapolations: a brief review

M Mai, M Döring, A Rusetsky - The European Physical Journal Special …, 2021 - Springer
The extraction of two-and three-body hadronic scattering amplitudes and the properties of
the low-lying hadronic resonances from the finite-volume energy levels in lattice QCD …

Resonance scattering phase shifts on a non-rest-frame lattice

K Rummukainen, S Gottlieb - Nuclear Physics B, 1995 - Elsevier
Many low energy hadrons, such as the rho, can be observed as resonances in scattering
experiments. A proposal by Lüscher enables one to determine infinite volume elastic …

Weak Transition Matrix Elements¶ from Finite-Volume Correlation Functions

L Lellouch, M Lüscher - Communications in Mathematical Physics, 2001 - Springer
The two-body decay rate of a weakly decaying particle (such as the kaon) is shown to be
proportional to the square of a well-defined transition matrix element in finite volume …

Finite-Volume Spectrum of and Systems

M Mai, M Döring - Physical Review Letters, 2019 - APS
The ab initio understanding of hadronic three-body systems above threshold, such as exotic
resonances or the baryon spectrum, requires the mapping of the finite-volume eigenvalue …

[HTML][HTML] Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice

PF Bedaque - Physics Letters B, 2004 - Elsevier
We propose a method for the lattice QCD computation of nucleon–nucleon low-energy
interactions. It consists in simulating QCD in the background of a “electromagnetic” field …

Insight into the scalar mesons from a lattice calculation

M Alford, RL Jaffe - Nuclear Physics B, 2000 - Elsevier
We study the possibility that the light scalar mesons are q ̄ 2q 2 states rather than q ̄ q.
We perform a lattice QCD calculation of pseudoscalar meson scattering amplitudes, ignoring …

Three-body unitarity versus finite-volume spectrum from lattice QCD

M Mai, M Döring, C Culver, A Alexandru - Physical Review D, 2020 - APS
Strong three-body interactions above threshold govern the dynamics of many exotics and
conventional excited mesons and baryons. Three-body finite-volume energies calculated …

Hadron scattering lengths in lattice QCD

M Fukugita, Y Kuramashi, M Okawa, H Mino, A Ukawa - Physical Review D, 1995 - APS
A lattice QCD calculation of s-wave hadron scattering lengths in the channels π-π, π-N, KN,
KN, and NN is carried out in the quenched approximation at β= 6/g 2= 5.7. A variant of the …

Two particle states and the S-matrix elements in multi-channel scattering

S He, X Feng, C Liu - Journal of High Energy Physics, 2005 - iopscience.iop.org
Using a quantum mechanical model, the exact energy eigenstates for two-particle two-
channel scattering are studied in a cubic box with periodic boundary conditions in all three …