6533b7d8fe1ef96bd126b6db
RESEARCH PRODUCT
Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
Colin MorningstarBijit SinghaJohn BulavaJacob FallicaBen HörzRuairí BrettAndrew D. Hanlonsubject
Elastic scatteringPhysicsNuclear and High Energy PhysicsAngular momentumFinite volume methodSpins010308 nuclear & particles physicsHigh Energy Physics - Lattice (hep-lat)Elastic energyhep-latFOS: Physical sciencesCovariance01 natural sciencesHermitian matrixHigh Energy Physics - LatticeClassical mechanicsPionQuantum electrodynamics0103 physical scienceslcsh:QC770-798lcsh:Nuclear and particle physics. Atomic energy. Radioactivity010306 general physicsdescription
An implementation of estimating the two-to-two $K$-matrix from finite-volume energies based on the L\"uscher formalism and involving a Hermitian matrix known as the "box matrix" is described. The method includes higher partial waves and multiple decay channels. Two fitting procedures for estimating the $K$-matrix parameters, which properly incorporate all statistical covariances, are discussed. Formulas and software for handling total spins up to $S=2$ and orbital angular momenta up to $L=6$ are obtained for total momenta in several directions. First tests involving $\rho$-meson decay to two pions include the $L=3$ and $L=5$ partial waves, and the contributions from these higher waves are found to be negligible in the elastic energy range.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-11-01 |