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In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for…

High Energy Physics - Lattice · Physics 2023-09-20 Peng Guo , Vladimir Gasparian

We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

High Energy Physics - Lattice · Physics 2008-11-26 C. Liu , Y. Shen , X. Li , G. Z. Meng , X. Feng , M. Gong , S. He , Y. Chen , G. Li , Y. B. Liu , X. F. Meng , J. P. Ma , J. B. Zhang

We calculate the phase shifts in the pion-nucleon scattering using the heavy baryon formalism. We consider phase shifts for the pion energy range of 140 to $200 $ MeV. We employ two different methods for calculating the phase shifts - the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alakabha Datta , Sandip Pakvasa

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

We present the first direct $N_f=2$ lattice QCD computation of two- and three-$\pi^+$ scattering quantities that includes an ensemble at the physical point. We study the quark mass dependence of the two-pion phase shift, and the…

High Energy Physics - Lattice · Physics 2021-05-26 Matthias Fischer , Bartosz Kostrzewa , Liuming Liu , Fernando Romero-López , Martin Ueding , Carsten Urbach

We report on progress applying the stochastic LapH method to estimate all-to-all propagators required in correlation functions of multi-hadron operators relevant for pion-pion scattering. Large-volume results for $I=2$ and $I=1$ pion-pion…

High Energy Physics - Lattice · Physics 2015-11-19 John Bulava , Ben Hörz , Brendan Fahy , K. J. Juge , Colin Morningstar , Chik Him Wong

We present a lattice QCD calculation of the double-virtual neutral pion transition form factor, with the goal to cover the kinematic range relevant to hadronic light-by-light scattering in the muon $g-2$. Several improvements have been made…

High Energy Physics - Lattice · Physics 2019-09-26 Antoine Gérardin , Harvey B. Meyer , Andreas Nyffeler

Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first report the two-body scattering amplitudes with Coulomb corrections, extended to two fermions of…

Nuclear Theory · Physics 2021-10-22 Gianluca Stellin

We present our preliminary results on the lowest moment <x> of quark distribution functions of the pion using two flavor dynamical simulations with Wilson twisted mass fermions at maximal twist. The calculation is done in a range of pion…

High Energy Physics - Lattice · Physics 2019-08-13 Rémi Baron , Stefano Capitani , Jaume Carbonell , Karl Jansen , Zhaofeng Liu , Olivier Pène , Carsten Urbach

The $I=\frac{3}{2}$ $\pi K$ $s$-wave scattering phase shift is computed by lattice quantum chromodynamics with $N_f=3$ flavors of Asqtad-improved staggered fermions. The energy-eigenvalues of $\pi K$ systems at one center of mass frame and…

High Energy Physics - Lattice · Physics 2026-02-06 Ziwen Fu , Qu-Zhi Li , Jun Wang

We deliver lattice results for the $I=0$ $\pi\pi$ elastic $s$-wave scattering length calculated with the MILC $N_f=3$ flavors of the Asqtad-improved staggered fermions. The scattering phase shifts are determined by L\"uscher's formula from…

High Energy Physics - Lattice · Physics 2018-08-08 Ziwen Fu , Xu Chen

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For…

Quantum Physics · Physics 2017-03-08 Takayasu Sekihara

We present a lattice calculation of the electromagnetic form factor of the pion obtained using the tree-level Symanzik improved gauge action with two flavors of dynamical twisted Wilson quarks. The simulated pion masses range approximately…

High Energy Physics - Lattice · Physics 2009-11-06 R. Frezzotti , V. Lubicz , S. Simula

We present a lattice QCD calculation of the S-wave interactions between the spin-1/2 doubly charmed baryons ($\Xi_{cc},\Omega_{cc}$) and Goldstone bosons ($\pi,K,\bar{K}$) using the $N_f=2+1$ CLQCD ensembles with lattice spacing $a =…

High Energy Physics - Lattice · Physics 2025-09-30 Jing-Yu Yi , Ze-Rui Liang , Liuming Liu , De-Liang Yao

We report an exploratory lattice investigation of $\sigma$ meson decay width using s-wave scattering phase for isospin I=0 pion-pion ($\pi\pi$) system. Rummukainen-Gottlieb formula is used to estimate the scattering phase, which demonstrate…

High Energy Physics - Lattice · Physics 2012-07-27 Ziwen Fu

We present our study of $\pi-N$ scattering in the iso-spin $I=3/2$ channel for the first time at the physical point. The calculation is performed using $N_f=2+1+1$ flavors of twisted mass fermions with clover improvement at physical pion…

A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange…

Nuclear Theory · Physics 2010-11-08 Michael C. Birse

Isospin-1/2 $D\pi$ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately $(3.6\; \mathrm{fm})^3$ and with a light quark mass corresponding to $m_\pi\approx239$ MeV. The spectrum of the elastic…

High Energy Physics - Lattice · Physics 2021-08-30 Luke Gayer , Nicolas Lang , Sinéad M. Ryan , David Tims , Christopher E. Thomas , David J. Wilson

Equation of state and electric (isospin) charge fluctuations are studied for matter composed of interacting pions. The pion matter is described by self interacting scalar fields via a $\phi^4-\phi^6$ type Lagrangian. The mean-field…

High Energy Physics - Phenomenology · Physics 2021-06-16 O. S. Stashko , O. V. Savchuk , R. V. Poberezhnyuk , V. Vovchenko , M. I. Gorenstein

The influence of the hadronic \pi\pi interaction on the wave functions of pionium (the Coulomb bound \pi^+\pi^- system) at distances less than 10 fm is calculated for s-states with principal quantum numbers n<5. Hadronic \pi\pi potentials…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gashi , G. Rasche , W. S. Woolcock