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Systems with the quantum numbers of up to twelve charged and neutral pseudoscalar mesons, as well as one-, two-, and three-nucleon systems, are studied using dynamical lattice quantum chromodynamics and quantum electrodynamics (QCD+QED)…

I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, and, to a lesser extent, Symanzik effective theory. I first discuss the ways in which effective…

高能物理 - 唯象学 · 物理学 2015-10-09 C. Bernard

Recent results from lattice QCD on baryon resonances and meson-baryon, baryon-baryon scattering are presented. Such scattering processes and resonances can be determined in lattice QCD by first obtaining the finite-volume energy spectrum of…

高能物理 - 格点 · 物理学 2025-07-24 Colin Morningstar

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…

高能物理 - 格点 · 物理学 2011-11-15 K. Rummukainen , Steven Gottlieb

A survey is given on selected topics of physics in the non-perturbative, hadronic sector of the QCD phase diagramme. Following a brief QCD primer, some highlights of Lattice QCD are summarised. Chiral effective field theory as the…

核理论 · 物理学 2007-05-23 Wolfram Weise

The process of renormalisation in nonperturbative Hamiltonian Effective Field Theory (HEFT) is examined in the $\Delta$-resonance scattering channel. As an extension of effective field theory incorporating the L\"uscher formalism, HEFT…

高能物理 - 格点 · 物理学 2022-08-31 Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas , Jia-Jun Wu

We use the non-relativistic expansion of QCD (NRQCD) on the lattice to study the lowest hybrid configuration contribution to the ground state of heavy S-wave mesons. Using lowest-order lattice NRQCD to create the heavy-quark propagators, we…

高能物理 - 格点 · 物理学 2008-11-26 Tommy Burch , Doug Toussaint

Elastic quantum bound-state reflection from a hard-wall boundary provides direct information regarding the structure and compressibility of quantum bound states. We discuss elastic quantum bound-state reflection and derive a general theory…

核理论 · 物理学 2013-01-18 Michelle Pine , Dean Lee

We present our latest study of Lambda-Nucleon (LN) interaction by using lattice QCD, following up on our report at LATTICE 2008. We have calculated not only the scattering lengths but also the central and tensor potentials, which are…

高能物理 - 格点 · 物理学 2010-11-05 H. Nemura , for HAL QCD , PACS-CS Collaboration

We formulate SU(3) Hamiltonian lattice QCD in terms of the plaquette variables and determine the relevant subspaces of the Hilbert space for the vacuum wave functional and its approximations. We analyze the one- and two-plaquette problems.

高能物理 - 格点 · 物理学 2007-05-23 N. E. Ligterink

This thesis deals with the study of properties and interactions of light mesons. Specifically, we focus on hadronic decay and scattering processes, which are dominated by effects of the strong interaction in the low-energy regime. A…

高能物理 - 格点 · 物理学 2021-10-14 Fernando Romero-López

We investigate the structure of the nucleon resonance N^*(1440) (Roper) within a coupled-channel meson exchange model for pion-nucleon scattering. The coupling to pipiN states is realized effectively by the coupling to the sigmaN, piDelta…

核理论 · 物理学 2009-10-31 O. Krehl , C. Hanhart , S. Krewald , J. Speth

This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and…

A previously derived three-dimensional effective lattice theory describing the thermodynamics of QCD with heavy quarks in the cold and dense region is extended through order $\sim u^5\kappa^8$ in the combined character and hopping expansion…

高能物理 - 格点 · 物理学 2016-04-20 Jonas Glesaaen , Mathias Neuman , Owe Philipsen

The recent experimental observations of designer Dirac Fermions and topological phases in molecular graphene are addressed theoretically. Using scattering theory we calculate the electronic structure of finite lattices of scattering centers…

介观与纳米尺度物理 · 物理学 2013-12-18 H. Hammar , P. Berggren , J. Fransson

We give a selection of results on spectrum and decay constants of light and heavy-light hadrons. Effective field theories relevant for their lattice calculation, namely non-relativistic QCD (NRQCD) for heavy quarks on the lattice and Chiral…

高能物理 - 格点 · 物理学 2009-09-29 A. Ali Khan

Neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay of certain atomic isotopes, if observed, will have significant implications for physics of neutrinos and models of physics beyond the Standard Model. In the simplest scenario, if the mass…

高能物理 - 格点 · 物理学 2021-04-20 Zohreh Davoudi , Saurabh V. Kadam

Within a formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolving scattering observables from lattice QCD spectra. We consider spectra in the centre-of-mass and moving frames for both…

高能物理 - 格点 · 物理学 2016-06-22 Jia-Jun Wu , T. -S. Harry Lee , Derek B. Leinweber , A. W. Thomas , Ross D. Young

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…

高能物理 - 格点 · 物理学 2023-01-13 Fernando Romero-López

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…