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For almost 50 years the structure of the Lambda 1405 resonance has been a mystery. Recently, a new lattice QCD simulation showing that its strange magnetic form factor vanishes, together with a comprehensive Hamiltonian analysis of the…

The theory of strong interactions, QCD, is described in terms of a few parameters, namely the strong coupling constant alpha_s and the quark masses. We show how these parameters can be determined reliably using computer simulations of QCD…

Computational Physics · Physics 2007-05-23 Rainer Sommer , Hartmut Wittig

We present a coupled-channel analysis of the $ J^P = 3/2^+ \Delta $-baryon spectrum, based in the framework of Hamiltonian Effective Field Theory (HEFT). We construct a Hamiltonian which mixes quark model-like single-particle states and…

High Energy Physics - Phenomenology · Physics 2024-06-06 Liam Hockley , Curtis Abell , Derek Leinweber , Anthony Thomas

Lattice QCD has become a crucial tool for studying hadron-hadron interactions from first principles. However, significant challenges arise when extracting infinite-volume scattering parameters from finite-volume energy levels using the…

High Energy Physics - Lattice · Physics 2025-04-03 Lu Meng

An approach for relating the nucleon resonances extracted from $\pi N$ reaction data to lattice QCD calculations has been developed by using the finite-volume Hamiltonian method. Within models of $\pi N$ reactions, bare states are…

High Energy Physics - Lattice · Physics 2017-06-28 Jia-Jun Wu , H. Kamano , T. -S. H. Lee , D. B. Leinweber , A. W. Thomas

The energy gap of QCD is now understood very well. There is no doubt that the expansion in powers of the two lightest quark masses does represent a very useful tool for the analysis of the low energy structure. Concerning the expansion in…

High Energy Physics - Phenomenology · Physics 2009-11-13 H. Leutwyler

The lattice dynamics of coesite has been studied by a combination of diffuse x-ray scattering, inelastic x-ray scattering and an ab initio lattice dynamics calculation. The combined technique gives access to the full lattice dynamics in…

We study the convergence of the derivative expansion in HAL QCD method from the finite volume analysis. Employing the (2+1)-flavor lattice QCD data obtained at nearly physical light quark masses $(m_\pi, m_K) \simeq (146, 525)$ MeV and the…

High Energy Physics - Lattice · Physics 2021-12-10 Takumi Doi , Yan Lyu , Hui Tong , Takuya Sugiura , Sinya Aoki , Tetsuo Hatsuda , Jie Meng , Takaya Miyamoto

In this talk, we present a framework for studying structural information of resonances and bound states coupling to two-hadron scattering states. This makes use of a recently proposed finite-volume formalism to determine a class of…

High Energy Physics - Lattice · Physics 2018-11-02 Alessandro Baroni , Raúl A. Briceño , Maxwell T. Hansen , Felipe G. Ortega-Gama

In this note we first introduce the theoretical formalism of the unitarization of the two-body scattering both in the infinite and finite volumes. Then we apply this formalism to the study of the $Z_c(3900)$ resonance in the $J/\psi\,\pi$…

High Energy Physics - Phenomenology · Physics 2020-01-06 Mei-Zhu Yan , Dan Zhou , Zhi-Hui Guo

We obtain a closed form expression for the energy spectrum of $\mathcal{P}\mathcal{T}$-symmetric superlattice systems with complex potentials of periodic sets of two $\delta$-potentials in the elementary cell. In the presence of periodic…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Vladimir Gasparian , Peng Guo , Antonio Pérez Garrido , Esther Jódar

I summarize recent lattice results on QCD at finite temperatures and densities. Studies on the nature of the QCD transition at the physical point, continuum extra polations of thermodynamic quantities, and new calculations of hadronic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kazuyuki Kanaya

The quantum diffusion of a particle in an initially localized state on a cyclic lattice with N sites is studied. Diffusion and reconstruction time are calculated. Strong differences are found for even or odd number of sites and the limit…

Quantum Physics · Physics 2007-05-23 A. C. de la Torre , H. O. Martin , D. Goyeneche

Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by L\"uscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured…

High Energy Physics - Lattice · Physics 2011-11-15 K. Rummukainen , Steven Gottlieb

We present a lattice QCD investigation of the $\rho$ resonance using nine $N_f = 2 + 1$ Wilson-Clover ensembles with three lattice spacings and various pion masses ranging from $135$ to $320$ MeV. For each ensemble, a large number of finite…

High Energy Physics - Lattice · Physics 2025-02-07 Zhengli Wang , Derek B. Leinweber , Chuan Liu , Liuming Liu , Peng Sun , Anthony W. Thomas , Jia-jun Wu , Hanyang Xing , Kang Yu

In this exploratory study, near-threshold scattering of $D$ and $\bar{D}^*$ meson is investigated using lattice QCD with $N_f=2+1+1$ twisted mass fermion configurations. The calculation is performed within the coupled-channel L\"uscher's…

High Energy Physics - Lattice · Physics 2020-01-08 Ting Chen , Ying Chen , Ming Gong , Chuan Liu , Liuming Liu , Yu-Bin Liu , Zhaofeng Liu , Jian-Ping Ma , Markus Werner , Jian-Bo Zhang

Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. To quote credible estimates of the systematic uncertainties in these calculations, one must…

High Energy Physics - Lattice · Physics 2018-11-06 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

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…

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

First-principles calculations of multi-hadron dynamics are a crucial goal in lattice QCD. Significant progress has been achieved in developing, implementing, and applying theoretical tools that connect finite-volume quantities to their…

High Energy Physics - Lattice · Physics 2023-01-13 Fernando Romero-López
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