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We present for the first time a determination of the energy dependence of the isoscalar $pipi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed including all required quark propagation diagrams, and from these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum we obtain the $S$-wave phase-shift up to the $Koverline{K}$ threshold. Calculations are performed at two values of the $u,d$ quark mass corresponding to $m_pi = 236, 391$ MeV and the resulting amplitudes are described in terms of a $sigma$ meson which evolves from a bound-state below $pipi$ threshold at the heavier quark mass, to a broad resonance at the lighter quark mass.
We present the first lattice QCD study of coupled isoscalar $pipi,Koverline{K},etaeta$ $S$- and $D$-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the quark mass corresponding to $m_pisim391$
We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_pi = 236$ MeV in a cubic volume of $sim (4 ,mathrm{fm})^
It has been argued that the leading scalar-isoscalar WIMP-nucleus interactions receive parametrically enhanced contributions in the context of nuclear effective field theories. These contributions arise from meson-exchange currents (MECs) and potenti
We calculate the parameters describing elastic $I=1$, $P$-wave $pipi$ scattering using lattice QCD with $2+1$ flavors of clover fermions. Our calculation is performed with a pion mass of $m_pi approx 320::{rm MeV}$ and a lattice size of $Lapprox 3.6$
We extract to high statistical precision an excited spectrum of single-particle isoscalar mesons using lattice QCD, including states of high spin and, for the first time, light exotic JPC isoscalars. The use of a novel quark field construction has en