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This work presents technical details of determining the finite-volume energy spectra for the scattering amplitude of the coupled-channel $\pi\Sigma - \bar{K}N$ from lattice QCD data. The importance of reliably extracting such spectra lies…

We study diquarks on the lattice in the background of a static quark, in a gauge-invariant formalism with quark masses down to almost physical $m_\pi$. We determine mass differences between diquark channels as well as diquark-quark mass…

高能物理 - 格点 · 物理学 2022-06-01 Anthony Francis , Philippe de Forcrand , Randy Lewis , Kim Maltman

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

高能物理 - 格点 · 物理学 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig

We present the first calculation in lattice QCD of the process $\gamma K \to K\pi$ in which the narrow $K^*$ vector resonance appears. Using a lattice on which the pion has a mass of 284 MeV, we determine the transition amplitude at 128…

高能物理 - 格点 · 物理学 2023-01-11 Archana Radhakrishnan , Jozef Dudek , Robert Edwards

We extend the relativistic field theoretic finite-volume formalism to $N \pi \pi$ scattering states at maximal isospin, $I=5/2$. As in previous work using the relativistic field theory approach, we work to all orders in a generic low-energy…

高能物理 - 格点 · 物理学 2025-10-07 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

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…

高能物理 - 唯象学 · 物理学 2014-11-05 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas , David J. Wilson

I review recent progress in calculating scattering amplitudes and resonance properties involving three particles using results from lattice QCD. The necessary input is the finite-volume spectrum, and the outputs -- via solutions of integral…

高能物理 - 格点 · 物理学 2026-01-14 Stephen R. Sharpe

We have presented a detailed study of twist-2 and twist-3 light-cone distribution amplitudes of $1^3P_1$ and $1^1P_1$ axial-vector mesons, based on QCD conformal partial wave expansion. Applying equations of motion, the twist-three…

高能物理 - 唯象学 · 物理学 2010-10-08 Kwei-Chou Yang

CP-PACS and JLQCD collaborations are carrying out a joint project of the 2+1 flavor full QCD simulation. Gauge configurations are generated for the non-perturbatively $O(a)$-improved Wilson quark action and the Iwasaki gauge action using…

Elastic $I=1/2$, $s$- and $p$-wave $K\pi$ scattering amplitudes are simultaneously calculated using a L\"uscher style analysis on a single ensemble of dynamical Wilson-clover fermions at $m_\pi \sim 230$ MeV. Partial wave mixing due to the…

高能物理 - 格点 · 物理学 2019-02-22 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar

Spectroscopic parameters and widths of the fully open-flavor axial-vector and pseudoscalar tetraquarks $X_{\mathrm{AV}}$ and $X_{\mathrm{PS}}$ with content $[ud][\overline{c}\overline{s}]$ are calculated by means of the QCD sum rule…

高能物理 - 唯象学 · 物理学 2023-03-22 H. Sundu , S. S. Agaev , K. Azizi

The elastic $\pi N$ scattering is investigated for the $I=3/2$ channel dominated by the $\Delta(1232)$ resonance at finite baryon density, employing the effective Lagrangian approach at the tree-level Born approximation. The quark-meson…

核理论 · 物理学 2023-06-01 Hyeon-dong Han

Studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances using $N_f=2+1$ lattice QCD for pion masses near 200 MeV are presented. The $s$-wave scattering lengths for both the $I=1/2$ $N \pi$ and…

Recent results on the hadron spectroscopy from lattice QCD are reviewed with emphasis on the meson sector and in particular on quarkonium-like $XYZ$ states. I report on the first rigorous treatment of the near-threshold states $X(3872)$ and…

高能物理 - 格点 · 物理学 2015-03-20 Sasa Prelovsek

We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by…

高能物理 - 格点 · 物理学 2018-12-19 D. Giusti , F. Sanfilippo , S. Simula

We present an investigation of pion-nucleon elastic scattering in the $I\,(J^P) = \frac{3}{2}\,(\frac{3}{2}^+)$ channel using lattice QCD with degenerate up and down, strange and charm quarks with masses tuned to their physical values. We…

We study the quark mass dependence of the H-dibaryon in the strangeness $S=-2$ baryon-baryon scattering. A low-energy effective field theory is used to describe the coupled-channel scattering, in which the quark mass dependence is…

高能物理 - 唯象学 · 物理学 2017-01-04 Yasuhiro Yamaguchi , Tetsuo Hyodo

We evaluate the s-wave interaction of pseudoscalar and vector mesons with both charm and beauty to investigate the possible existence of molecular $BD$, $B^*D$, $BD^*$, $B^*D^*$, $B\bar D$, $B^*\bar D$, $B\bar D^*$ or $B^* \bar D^*$ meson…

高能物理 - 唯象学 · 物理学 2017-10-04 S. Sakai , L. Roca , E. Oset

In the covariant level-classification scheme of hadrons proposed recently, the existence of "chiral particles", scalar and axial-vector mesons as the partners of the ground-state pseudo-scalar and vector mesons, respectively, were predicted…

高能物理 - 唯象学 · 物理学 2007-05-23 Daiki Ito , Muneyuki Ishida , Shin Ishida , Toshihiko Komada , Hiroshi Tonooka , Kenji Yamada

In this project, we will compute the form factors relevant for $B \to K^*(\to K \pi)\ell^+\ell^-$ decays. To map the finite-volume matrix elements computed on the lattice to the infinite-volume $B \to K \pi$ matrix elements, the $K \pi$…