0000000000241227

AUTHOR

Jacob Fallica

showing 4 related works from this author

Determination of s - and p -wave I  = 1/2 Kπ scattering amplitudes in N f  = 2 + 1 lattice QCD

2018

Nuclear physics 932, 29 - 51 (2018). doi:10.1016/j.nuclphysb.2018.05.008

Quantum chromodynamicsPhysicsNuclear and High Energy Physics010308 nuclear & particles physicsHigh Energy Physics::LatticeLattice QCDFermion01 natural sciences530Scattering amplitudeAmplitude0103 physical sciencesS-wavelcsh:QC770-798lcsh:Nuclear and particle physics. Atomic energy. Radioactivityddc:530Gauge theoryAtomic physics010306 general physicsMixing (physics)
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Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies

2017

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 f…

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 physics
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Including Tetraquark Operators in the Low-Lying Scalar Meson Sectors in Lattice QCD

2019

Lattice QCD allows us to probe the low-lying hadron spectrum in finite-volume using a basis of single- and multi-hadron interpolating operators. Here we examine the effect of including tetraquark operators on the spectrum in the scalar meson sectors containing the $K_0^*(700)$ ($\kappa$) and the $a_0(980)$ in $N_f = 2 + 1$ QCD, with $m_\pi \approx 230$ MeV. Preliminary results of additional finite-volume states found using tetraquark operators are shown, and possible implications of these states are discussed.

PhysicsQuantum chromodynamicsParticle physicsBasis (linear algebra)High Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Spectrum (functional analysis)HadronHigh Energy Physics::PhenomenologyFOS: Physical sciencesLattice QCDApproxHigh Energy Physics - LatticeTetraquarkHigh Energy Physics::ExperimentScalar meson
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Scattering from finite-volume energies including higher partial waves and multiple decay channels

2018

A new implementation of estimating the two-to-two $K$-matrix from finite-volume energies based on the Luescher formalism is described. The method includes higher partial waves and multiple decay channels, and the fitting procedure properly includes all covariances and statistical uncertainties. The method is also simpler than previously used procedures. Formulas and software for handling total spins up to $S=2$ and orbital angular momenta up to $L=6$ are presented.

PhysicsFinite volume methodSpins010308 nuclear & particles physicsScatteringComputer Science::Information RetrievalPhysicsQC1-999High Energy Physics - Lattice (hep-lat)FOS: Physical sciences01 natural sciencesComputational physicsMatrix (mathematics)High Energy Physics - Lattice0103 physical sciences010306 general physicsEPJ Web of Conferences
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