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Related papers: Rho resonance parameters from lattice QCD

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The charge radii of octet-baryons obtained in quenched lattice-QCD calculations are extrapolated within heavy-baryon chiral perturbation theory. Finite-range regularization (FRR) is applied to improve the convergence of the chiral expansion…

High Energy Physics - Phenomenology · Physics 2009-10-29 P. Wang , D. B. Leinweber , A. W. Thomas , R. D. Young

We investigate the chiral extrapolation of the lattice data for the light-heavy meson hyperfine splittings D^*-D and B^*-B to the physical region for the light quark mass. The chiral loop corrections providing non-analytic behavior in m_\pi…

High Energy Physics - Lattice · Physics 2010-02-17 X. -H. Guo , P. C. Tandy , A. W. Thomas

We determine the $\Delta(1232)$ resonance parameters using lattice QCD and the L\"uscher method. The resonance occurs in elastic pion-nucleon scattering with $J^P=3/2^+$ in the isospin $I = 3/2$, $P$-wave channel. Our calculation is…

We study the $S$-wave $D\bar{D}^*(I=0)$ scattering at four different pion masses $m_\pi$ ranging from 250 MeV to 417 MeV from $N_f=2$ lattice QCD. Three energy levels $E_{2,3,4}$ are extracted at each $m_\pi$. The analysis of $E_{2,3}$…

High Energy Physics - Lattice · Physics 2024-08-27 Haozheng Li , Chunjiang Shi , Ying Chen , Ming Gong , Juzheng Liang , Zhaofeng Liu , Wei Sun

The mass of the lightest hadron in nature, the pion, is one seventh of that of the nucleon, and one tenth of the mass of its first excited state, the $\pi(1300)$. This enormous energy difference opens an interesting window into the…

High Energy Physics - Lattice · Physics 2025-10-13 Haobo Yan , Maxim Mai , Marco Garofalo , Yuchuan Feng , Michael Döring , Chuan Liu , Liuming Liu , Ulf-G. Meißner , Carsten Urbach

A model field theory, in which the interaction between quarks is mediated by dressed vector boson exchange, is used to analyse the pionic sector of QCD. It is shown that this model, which incorporates dynamical chiral symmetry breaking,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts , Reginald T. Cahill , Martin E. Sevior , Nicolangelo Iannella

We perform a rigorous analysis of the $\pi K$ scattering at an unphysical pion mass 391 MeV using the Roy-Steiner equations, which satisfy unitarity, analyticity and crossing symmetry, for the first time. Stable solutions of the Roy-Steiner…

High Energy Physics - Phenomenology · Physics 2025-08-01 Xiong-Hui Cao , Feng-Kun Guo , Zhi-Hui Guo , Qu-Zhi Li

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called…

High Energy Physics - Lattice · Physics 2016-11-01 Michael Döring , Bin Hu , Maxim Mai

We investigate the pion electromagnetic charge radii and mass dropping of the rho meson at finite density. We first calculate the pion charge radii within the framework of the nonlocal chiral quark model from the instanton vacuum both at…

High Energy Physics - Phenomenology · Physics 2011-08-19 Seung-il Nam , Hyun-Chul Kim

We use lattice QCD and the L\"uscher method to study elastic pion-nucleon scattering in the isospin $I = 3/2$ channel, which couples to the $\Delta(1232)$ resonance. Our $N_f=2+1$ flavor lattice setup features a pion mass of $m_\pi \approx…

The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

High Energy Physics - Phenomenology · Physics 2020-06-24 M. S. Lukashov , Yu. A. Simonov

We evaluate analytically the elastic $\pi\pi$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference $\delta_0^0-\delta_1^1$.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

We present the first direct determination of meson-baryon resonance parameters from a scattering amplitude calculated using lattice QCD. In particular, we calculate the elastic $I=3/2$, $p$-wave nucleon-pion amplitude on a single ensemble…

High Energy Physics - Lattice · Physics 2018-02-13 Christian Walther Andersen , John Bulava , Ben Hörz , Colin Morningstar

Luscher has shown that in single channel problem (elastic region below first inelastic threshold) there exists a direct link between the discrete value of the energy in a finite QCD volume and the scattering phase shift at the same energy.…

High Energy Physics - Phenomenology · Physics 2014-01-10 Alfred Svarc

Resonances appearing in hadronic scattering processes are described by a two-phase model. In the one phase, scattering products are observed, whereas the other phase describes confinement. A so-called ``Resonance-Spectrum Expansion'' is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eef van Beveren , George Rupp

A decay width calculation for a hybrid exotic meson h, with JPC=1-+, is presented for the channel h->pi+a1. This quenched lattice QCD simulation employs Luescher's finite box method. Operators coupling to the h and pi+a1 states are used at…

High Energy Physics - Lattice · Physics 2009-11-11 M. S. Cook , H. R. Fiebig

We present the first determination of $\rho \pi$ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 $\rho \pi$, we calculate…

High Energy Physics - Lattice · Physics 2018-07-16 Antoni J. Woss , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

The four-loop QCD corrections to the electroweak $\rho$-parameter arising from top and bottom quark loops are computed. Specifically we evaluate the missing ``non-singlet'' piece. Using algebraic methods the amplitude is reduced to a set of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , M. Faisst , J. H. Kühn , P. Maierhoefer , C. Sturm

We present a determination of the $P$-wave $\pi\pi\to\pi\gamma^\star$ transition amplitude from lattice quantum chromodynamics. Matrix elements of the vector current in a finite-volume are extracted from three-point correlation functions,…

High Energy Physics - Phenomenology · Physics 2016-06-15 Raúl A. Briceño , Jozef J. Dudek , Robert G. Edwards , Christian J. Shultz , Christopher E. Thomas , David J. Wilson