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We present the first lattice QCD study of coupled isoscalar $\pi\pi,K\overline{K},\eta\eta$ $S$- and $D$-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the quark mass corresponding…

High Energy Physics - Lattice · Physics 2018-03-28 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We study the scattering of light pseudoscalar mesons ($\pi$, $K$) off charmed mesons ($D$, $D_s$) in full lattice QCD. The S-wave scattering lengths are calculated using L\"uscher's finite volume technique. We use a relativistic formulation…

High Energy Physics - Lattice · Physics 2018-09-21 Liuming Liu , Kostas Orginos , Feng-Kun Guo , Christoph Hanhart , Ulf-G. Meißner

In this proceeding, we illustrate the applicability of a new parameterization of the S-wave amplitude on the example of the $\pi\pi \to \pi\pi$ and $\pi K \to \pi K $ lattice data ($m_\pi \sim 240$ MeV) from the HadSpec collaboration. The…

High Energy Physics - Phenomenology · Physics 2023-02-17 Volodymyr Biloshytskyi , Igor Danilkin , Xiu-Lei Ren , Marc Vanderhaeghen

Resonances play an important role in Standard Model phenomenology. In particular, hadronic resonances feature in $B$ and $D$ decays, which can be central for New Physics searches. Lattice QCD simulations combined with the finite-volume…

High Energy Physics - Lattice · Physics 2022-12-01 Nelson Pitanga Lachini , Peter Boyle , Felix Erben , Michael Marshall , Antonin Portelli

In an exploratory study, using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, the $\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation. A new method is…

High Energy Physics - Lattice · Physics 2009-11-07 Chuan Liu , Junhua Zhang , Ying Chen , J. P. Ma

We present the first lattice QCD calculation of coupled $\pi\omega$ and $\pi\phi$ scattering, incorporating coupled $S$ and $D$-wave $\pi\omega$ in $J^P=1^+$. Finite-volume spectra in three volumes are determined via a variational analysis…

High Energy Physics - Lattice · Physics 2019-09-19 Antoni J. Woss , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We generalize our previous work on \pi\pi scattering to K\pi scattering, and re-analyze the experiment data of K\pi scattering below 1.6 GeV. Without any free parameter, we explain K\pi I=3/2 S-wave phase shift very well by using t-channel…

High Energy Physics - Phenomenology · Physics 2008-11-26 Long Li , Bing-song Zou , Guang-lie Li

We study s-wave pion-pion ($\pi\pi$) scattering length in lattice QCD for pion masses ranging from 330 MeV to 466 MeV. In the "Asqtad" improved staggered fermion formulation, we calculate the $\pi\pi$ four-point functions for isospin I=0…

High Energy Physics - Lattice · Physics 2015-05-30 Ziwen Fu

We study the interactions of systems of two and three nondegenerate mesons composed of pions and kaons at maximal isospin using lattice QCD, specifically $\pi^+K^+$, $\pi^+\pi^+K^+$ and $K^+K^+\pi^+$. Utilizing the stochastic LapH method,…

High Energy Physics - Lattice · Physics 2023-06-07 Zachary T. Draper , Andrew D. Hanlon , Ben Hörz , Colin Morningstar , Fernando Romero-López , Stephen R. Sharpe

The intrinsic difficulties in extracting the hadron resonances from reaction data are illustrated by using several exactly soluble $\pi\pi$ scattering models. The finite-volume Hamiltonian method is applied to predict spectra using two…

Nuclear Theory · Physics 2016-10-12 T. -S. H. Lee , Jia-jun Wu , Hiroyuki Kamano

Elastic $S-$wave scattering of a charm meson with a light pseudoscalar meson in $J^P =0^+$ is investigated in the flavour $\bar{\mathbf{3}}$, $\mathbf{6}$ and $\overline{\mathbf{15}}$ sectors at the $SU(3)_f$ flavour point using lattice…

High Energy Physics - Lattice · Physics 2024-08-13 J. Daniel E. Yeo , Christopher E. Thomas , David J. Wilson

We present a preliminary analysis of $I=1$ $\pi\,\pi$ scattering at the physical point. We make use of the stochastic variant of the distillation framework (also known as sLapH) to compute the relevant two-point correlation matrices using a…

High Energy Physics - Lattice · Physics 2021-12-15 Srijit Paul , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Colin Morningstar , Hartmut Wittig

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

Mathematical Physics · Physics 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

A recent analysis of data on the two photon production of the $\eta_c$ and its decay to $K(K\pi)$ has determined the $K\pi$ $S$-wave amplitude in a "model-independent" way assuming primarily that the additional kaon is a spectator in this…

High Energy Physics - Phenomenology · Physics 2017-11-22 A. Palano , M. R. Pennington

We present our study of the $\rho(770)$ and $K^*(892)$ resonances from lattice quantum chromodynamics (QCD) employing domain-wall fermions at physical quark masses. We determine the finite-volume energy spectrum in various momentum frames…

We present first results using the stochastic Laplace-Heaviside (sLapH) method in the twisted mass formulation. The calculations are performed on gauge configurations provided by the European Twisted Mass (ETM) collaboration with 2+1+1…

High Energy Physics - Lattice · Physics 2013-11-22 Christian Jost , Bastian Knippschild , Carsten Urbach , Falk Zimmermann

We determine scattering phase shifts for S,P,D, and F partial wave channels in two-nucleon systems using lattice QCD methods. We use a generalization of Luscher's finite volume method to determine infinite volume phase shifts from a set of…

High Energy Physics - Lattice · Physics 2015-11-10 Amy Nicholson , Evan Berkowitz , Enrico Rinaldi , Pavlos Vranas , Thorsten Kurth , Balint Joo , Mark Strother , Andre Walker-Loud

We present a data-driven analysis of the S-wave $\pi\pi \to \pi\pi\,(I=0,2)$ and $\pi K \to \pi K\,(I=1/2, 3/2)$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are parametrized using the…

High Energy Physics - Phenomenology · Physics 2022-03-07 Oleksandra Deineka , Igor Danilkin , Marc Vanderhaeghen

Using first-principles calculation within Quantum Chromodynamics, we are able to determine a pattern of strangeness=1 resonances which appear as complex singularities within coupled $\pi K$, $\eta K$ scattering amplitudes. We make use of…

High Energy Physics - Phenomenology · Physics 2014-11-05 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas , David J. Wilson

Lattice QCD calculations of radiative transitions between hadrons have in the past been limited to processes of hadrons stable under the strong interaction. Recently developed methods for $1\to2$ transition matrix elements in a finite…

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