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We derive formalism for determining $\textbf{2} + \mathcal J \to \textbf{2}$ infinite-volume transition amplitudes from finite-volume matrix elements. Specifically, we present a relativistic, model-independent relation between finite-volume…

高能物理 - 格点 · 物理学 2016-07-20 Raúl A. Briceño , Maxwell T. Hansen

The physics of pions within a finite volume is explored using lattice regularized chiral perturbation theory. This regularization scheme permits a straightforward computational approach to be used in place of analytical continuum…

高能物理 - 格点 · 物理学 2009-11-10 B. Borasoy , R. Lewis

An exploratory study of two-particle wave function is carried out with a four dimensional simple model. The wave functions not only for two-particle ground and first excited states but also for an unstable state are calculated from three-…

高能物理 - 格点 · 物理学 2009-11-10 T. Yamazaki

In this paper we introduce a model which provides a new approach to the phenomenon of stochastic resonance. It is based on the study of the properties of the stationary distribution of the underlying stochastic process. We derive the…

概率论 · 数学 2007-05-23 Peter Imkeller , Ilya Pavlyukevich

We use lattice QCD calculations of the finite-volume spectra of systems of two and three mesons to determine, for the first time, three-particle scattering amplitudes with physical quark masses. Our results are for combinations of $\pi^+$…

We present for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed…

高能物理 - 唯象学 · 物理学 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

Single-particle resonance parameters and wave functions in spherical and deformed nuclei are determined through analytic continuation in the potential strength. In this method, the analyticity of the eigenvalues and eigenfunctions of the…

核理论 · 物理学 2009-11-06 G. Cattapan , E. Maglione

A general method is presented to unfold band structures of first-principles super-cell calculations with proper spectral weight, allowing easier visualization of the electronic structure and the degree of broken translational symmetry. The…

材料科学 · 物理学 2010-06-29 Wei Ku , Tom Berlijn , Chi-Cheng Lee

We confront lattice QCD results on the transition from the hadronic phase to the quark--gluon plasma with hadron resonance gas and percolation models. We argue that for T < T_c the equation of state derived from Monte--Carlo simulations of…

高能物理 - 唯象学 · 物理学 2011-09-13 F. Karsch , K. Redlich , A. Tawfik

We give the details of the calculation of the spectral functions of the 1D Hubbard model using the spin-charge factorized wave-function for several versions of the U -> +\infty limit. The spectral functions are expressed as a convolution of…

强关联电子 · 物理学 2009-10-30 Karlo Penc , Karen Hallberg , Frederic Mila , Hiroyuki Shiba

We discuss an exact relation between the two-particle scattering amplitude and the Bethe-Salpeter (BS) wave function inside the interaction range in quantum field theory. In the relation the reduced BS wave function defined by the BS wave…

高能物理 - 格点 · 物理学 2019-01-08 Takeshi Yamazaki , Yoshinobu Kuramashi

In this work we study the spectral functions of scalar mesons in one- and two-channel cases. When the propagators satisfy the K\"allen-Lehman representation a normalized spectral function is obtained, allowing to take into account…

高能物理 - 唯象学 · 物理学 2008-11-26 Francesco Giacosa , Giuseppe Pagliara

An extended two-hadron operator is developed to extract the spectra of irreducible representations (irreps) in the finite volume. The irreps of the group for the finite volume system are projected using a coordinate-space operator. The…

高能物理 - 格点 · 物理学 2022-05-04 Jia-Jun Wu , Waseem Kamleh , Derek B. Leinweber , Yan Li , Gerrit Schierholz , Ross D. Young , James M. Zanotti

The critical nuclear charge Zc required for a heliumlike atom to have at least one bound state was recently determined with high accuracy from variational calculations. Analysis of the wave functions further suggested that the bound state…

原子物理 · 物理学 2015-10-14 Jean-Philippe Karr

It is shown that the strong volume-dependence of the axial charge of the nucleon seen in lattice QCD calculations can be understood quantitatively in terms of the pion-induced interactions between neighbouring nucleons. The associated wave…

高能物理 - 格点 · 物理学 2012-05-09 N. L. Hall , A. W. Thomas , R. D. Young , J. M. Zanotti

It was recently observed in a numerical study on a high order perturbation method under heavy fluid loading that a loaded vibrating plate results, not only in the classical frequency shift of the in vacuo single resonance (in both the real…

经典物理 · 物理学 2010-04-26 Pierre-Olivier Mattei

The multiple scattering model of a quantum particle in a random Lorentz gas consisting of fixed point scatterers is considered in arbitrary dimension. An efficient method is developed to numerically compute the map of the density of…

量子物理 · 物理学 2022-05-11 David Gaspard , Jean-Marc Sparenberg

We derive an analog of the Lellouch-L\"uscher (LL) relation for few-body bosonic systems, linking few-body scattering loss rates to the energies and widths of the corresponding harmonically trapped few-body states. Three-body numerical…

量子气体 · 物理学 2026-05-21 Jing-Lun Li , Paul S. Julienne , Johannes Hecker Denschlag , José P. D'Incao

We develop a scheme for the extraction of the properties of the scalar mesons f0(600), f0(980), and a0(980) from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in a finite…

高能物理 - 格点 · 物理学 2015-05-28 M. Döring , U. -G. Meißner , E. Oset , A. Rusetsky

Strong interactions produce a rich spectrum of resonances that decay into three or more hadrons. Understanding their phenomenology requires a theoretical framework to extract parameters fromexperimental data and Lattice QCD simulations of…

高能物理 - 格点 · 物理学 2021-11-11 Sebastian M. Dawid