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Related papers: S-wave pi-K scattering length from lattice QCD

200 papers

Based on the analysis of 6.031*10^7 K+- --> pi0 pi0 pi+- decays, the NA48/2 collaboration has recently determined the S-wave pi-pi scattering lengths a_0-a_2 with high precision. In addition, the scattering length a_2 has been independently…

High Energy Physics - Phenomenology · Physics 2015-03-19 Juerg Gasser , Bastian Kubis , Akaki Rusetsky

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luescher technique. In this letter, as a trial of the method, we report on the…

High Energy Physics - Phenomenology · Physics 2011-05-12 Jozef J. Dudek , Robert G. Edwards , Michael J. Peardon , David G. Richards , Christopher E. Thomas

The mass spectrum of S and P-wave mesons containing a single heavy quark is computed in the quenched approximation, using NRQCD up to third order in the inverse heavy quark mass expansion. Previous results found third order contributions…

High Energy Physics - Lattice · Physics 2009-10-31 Randy Lewis , R. M. Woloshyn

In the framework of a Chiral effective theory with dibaryon fields, we calculate the pion mass dependence of the inverse scattering length of the nucleon-nucleon system in the $^3S_1$ channel at order ${(m_\pi^3 / \Lambda_\chi^2)}\times…

Nuclear Theory · Physics 2013-05-30 Joan Soto , Jaume Tarrús

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

An effective residual interaction for a meson-meson system is computed in lattice QCD. We describe the theoretical framework and present its application to the I=2 channel S-wave interaction of the pi pi system. Scattering phase shifts are…

High Energy Physics - Lattice · Physics 2009-10-31 H. R. Fiebig , K. Rabitsch , H. Markum , A. Mihaly

We present a lattice QCD study of the phase shift of $I{=}2$ $\pi\pi$ scattering on the basis of two different approaches: the standard finite volume approach by Luscher and the recently introduced HAL QCD potential method. Quenched QCD…

High Energy Physics - Lattice · Physics 2013-12-06 T. Kurth , N. Ishii , T. Doi , S. Aoki , T. Hatsuda

We present results for the interaction of two kaons at maximal isospin. The calculation is based on 2+1+1 flavour gauge configurations generated by the ETM Collaboration (ETMC) featuring pion masses ranging from about 230 MeV to 450 MeV at…

High Energy Physics - Lattice · Physics 2016-11-30 Christopher Helmes , Christian Jost , Bastian Knippschild , Bartosz Kostrzewa , Liuming Liu , Carsten Urbach , Markus Werner

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

Charge-exchange rescattering $\pi^+\pi^-\to \pi^0\pi^0$ leads to a cusp effect in the $\pi^0\pi^0$ invariant mass spectrum of processes with $\pi^0\pi^0$ in the final state which can be used to measure $\pi\pi$ $S$-wave scattering lengths.…

High Energy Physics - Phenomenology · Physics 2013-02-06 Xiao-Hai Liu , Feng-Kun Guo , Evgeny Epelbaum

We present the first ab initio calculation at physical quark masses of scattering amplitudes describing the lightest pseudoscalar mesons interacting via the strong force in the vector channel. Using lattice quantum chromodynamics, we…

Scattering processes featuring the strong interactions can be studied using lattice QCD by means of the L\"uscher formalism. This approach relies on analyticity and unitarity of the $S$-matrix to relate infinite-volume scattering amplitudes…

High Energy Physics - Lattice · Physics 2026-04-01 A. Dean. M. Valois , M. Dai , A. El-Khadra , E. Gámiz , S. Lahert , R. Merino

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

We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^+)$ and $0(1^-)$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq…

High Energy Physics - Lattice · Physics 2025-02-12 Pan-Pan Shi , Feng-Kun Guo , Chuan Liu , Liuming Liu , Peng Sun , Jia-Jun Wu , Hanyang Xing

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion…

High Energy Physics - Lattice · Physics 2020-01-01 Maxim Mai , Chris Culver , Andrei Alexandru , Michael Döring , Frank X. Lee

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

High Energy Physics - Phenomenology · Physics 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

I compare the lattice calculation of Fukugita et al. for the pion S-wave scattering lengths to the predictions of Chiral Perturbation Theory to two loop accuracy. I find good agreement, despite the use of the quenched approximation in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Gilberto Colangelo

We study the s-wave I=2 \pi \Sigma and I=1 KN interactions from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=700 MeV. The s-wave meson-baryon potentials are obtained from the…

High Energy Physics - Lattice · Physics 2012-08-27 Yoichi Ikeda for HAL QCD Collaboration

We calculate both connected and disconnected contribution to the $\pi$-$N$ $\sigma$-term in quenched lattice QCD with Wilson quark action on a $12^3\times 20$ lattice at $\beta=5.7$. The latter is evaluated with the aid of the variant wall…

High Energy Physics - Lattice · Physics 2009-10-22 M. Fukugita , Y. Kuramashi , M. Okawa , A. Ukawa

We present predictions for the the K^- \alpha scattering length obtained within the framework of the multiple scattering approach. Evaluating the pole position of the K^- \alpha scattering amplitude within the zero range approximation, we…