Estimating the two-particle \(K\)-matrix for multiple partial waves and decay channels from finite-volume energies

DOI10.1016/j.nuclphysb.2017.09.014zbMath1373.81397arXiv1707.05817OpenAlexW2737320647MaRDI QIDQ1676172

John Bulava, Jacob Fallica, Bijit Singha, Ruairí Brett, Ben Hörz, Andrew Hanlon, Colin J. Morningstar

Publication date: 3 November 2017

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05817

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Quantum field theory on lattices (81T25) Computational methods for problems pertaining to quantum theory (81-08) (S)-matrix theory, etc. in quantum theory (81U20) Inelastic and multichannel quantum scattering (81U35)

Related Items

Two-particle scattering from finite-volume quantization conditions using the plane wave basis ⋮ Towards a theory of hadron resonances ⋮ Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules ⋮ Elastic nucleon-pion scattering at \(m_\pi = 200\) MeV from lattice QCD ⋮ The \(I= 1\) pion-pion scattering amplitude and timelike pion form factor from \(N_{f}=2+1\) lattice QCD ⋮ Determination of \(s\)- and \(p\)-wave \(I = 1/2\: K\pi\) scattering amplitudes in \(N_{\mathrm{f}} = 2 + 1\) lattice QCD ⋮ TwoHadronsInBox

Uses Software

• MINUIT

Cites Work

• \(I=1\) and \(I=2\) \(\pi-\pi\) scattering phase shifts from \(N_{\mathrm{f}}=2+1\) lattice QCD
• The phenomenological representation of \(\bar K\)-nucleon scattering and reaction amplitudes
• Multichannel effective range theory
• Coupled-channel \(D\pi\), \(D\eta\) and \(D_s\overline K\) scattering from lattice QCD
• Volume dependence of the energy spectrum in massive quantum field theories. I: Stable particle states
• \(R\)-matrix theory of atomic collisions. Application to atomic, molecular and optical processes.
• Relations between Bound-State Problems and Scattering Theory
• Transition from Discrete to Continuous Spectra