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We present results for the spectrum of light and strange mesons on configurations with two flavors of mass-degenerate Chirally Improved sea quarks. The calculations are performed on seven ensembles of lattice size 16^3x32 at three different…

High Energy Physics - Lattice · Physics 2015-06-03 Georg P. Engel , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schaefer

We present calculations of the $S$-wave isospin-zero and isospin-two pion-pion scattering lengths within a nucleon-meson model with parity doubling. Both scattering lengths are computed in various approximations, ranging from a mean-field…

High Energy Physics - Phenomenology · Physics 2021-12-30 Jürgen Eser , Jean-Paul Blaizot

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

It is shown that the linear correlation relates the S-wave phase shifts from the threshold up to dipion mass 900 MeV. By using this correlation at the solution of the Roy equations, the accuracy of determination of S-wave lengths is…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. N. Maiorov , O. O. Patarakin

We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass $M\approx 200\;$MeV in Ref. [1]. Using the relativistic three-particle quantization condition, we find $\sim 2…

High Energy Physics - Lattice · Physics 2021-03-16 Tyler D. Blanton , Fernando Romero-López , Stephen R. Sharpe

A separable potential model of three coupled channels (pion-pion, kaon-antikaon and an effective four pion) has been constructed and applied in the analysis of the isoscalar S-wave pion-pion and kaon-antikaon phase shifts and inelasticities…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Lesniak

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase…

Nuclear Theory · Physics 2011-06-06 J. M. Alarcon , J. Martin Camalich , J. A. Oller , L. Alvarez-Ruso

We use 2HEX smeared gauge configurations generated with an $\mathrm{N}_\mathrm{f}\mathrm{=2+1}$ clover improved Wilson action to investigate $\pi\pi$ scattering in the $\rho$ channel. The range of lattice spacings (0.054 to 0.12 fm) and…

High Energy Physics - Lattice · Physics 2019-08-14 Thibaut Metivet

Considering analyticity, unitarity and an influence of coupled channels, experimental data on the isovector P-wave of pion-pion scattering was analyzed to study rho-like mesons below 1900 MeV. The analysis indicates evidently that in the…

High Energy Physics - Phenomenology · Physics 2008-06-02 Yu. S. Surovtsev , P. Bydzovsky

$D_s$ mesons are studied in three quantum channels ($J^P=0^+$, $1^+$ and $2^+$), where experiments have identified the very narrow $D_{s0}^*(2317)$, $D_{s1}(2460)$ and narrow $D_{s1}(2536)$, $D_{s2}^*(2573)$. We explore the effect of nearby…

High Energy Physics - Lattice · Physics 2014-09-05 C. B. Lang , Luka Leskovec , Daniel Mohler , Sasa Prelovsek , R. M. Woloshyn

In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting…

High Energy Physics - Phenomenology · Physics 2023-10-12 Jorge Baeza-Ballesteros , Johan Bijnens , Tomáš Husek , Fernando Romero-López , Stephen R. Sharpe , Mattias Sjö

We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner , Sven Steininger

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

In this exploratory lattice study, low-energy scattering of the $(D\bar{D}^{*})^\pm$ meson system is analyzed using lattice QCD with $N_f=2$ twisted mass fermion configurations with three pion mass values. The calculation is performed…

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…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We have calculated the potentials of the heavy (charmed or bottomed) pseudoscalar mesons up to $O(\epsilon^2)$ with the heavy meson chiral perturbation theory. We take into account the contributions from the football, triangle, box, and…

High Energy Physics - Phenomenology · Physics 2014-04-15 Zhan-Wei Liu , Ning Li , Shi-Lin Zhu

Scalar-isoscalar mesons are studied using an unitary model in three channels: pi-pi, K-anti K and an effective 2pi-2pi. All the solutions, fitted to the pi-pi and K-anti K data, exhibit a wide f0(500), a narrow f0(980) and two relatively…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. Kaminski , L. Lesniak , B. Loiseau

In a multi-channel $S$-matrix approach, data on $\pi\pi\to\pi\pi,K\bar{K},\eta\eta$ in the $I^GJ^{PC}=0^+2^{++}$ sector and $\pi\pi$ scattering in the $1^+3^{--}$ sector are analyzed to study the $f_2$- and $\rho_3$-mesons, respectively.…

High Energy Physics - Phenomenology · Physics 2011-04-05 Yu. S. Surovtsev , P. Bydzovsky , R. Kaminski , M. Nagy

We revisit the recently proposed method for the determination of the pi-pi scattering length combination a_{0}-a_{2}, based on the study of the pi0 pi0 spectrum in K+ -> pi+ pi0 pi0. In view of a precision measurement, we discuss here the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicola Cabibbo , Gino Isidori

Threshold expansions of the $\pi\pi$ and $K\overline{K}$ spin 0 and isospin 0 scattering amplitudes are performed. Scattering lengths, effective ranges and so--called volume parameters are evaluated. Good agreement with the existing…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Kaminski , L. Lesniak