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Related papers: Pade Interpolation: Methodology and Application to…

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Previously developed Pade-related method of resummation for QCD observables, which achieves exact renormalization-scale-invariance, is extended so that the scheme-invariance is obtained as well. The dependence on the leading scheme…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Cvetic

Two numerical methods are developed to reduce the solution of the radial Schr\"odinger equation for proposed heavy quark-antiquark interactions, into the solution of the eigenvalue problem for the infinite system of tridiagonal matrices.…

High Energy Physics - Phenomenology · Physics 2020-10-19 A. M. Yasser , G. S. Hassan , Samah K. Elshamndy , M. S. Ali

It has been demonstrated that distillation profiles can be employed to build optimized quarkonium interpolators for spectroscopy calculations in lattice QCD. We test their usefulness for heavy-light systems on (3+1)-flavor ensembles with…

This paper addresses the challenge of function approximation using Hermite interpolation on equally spaced nodes. In this setting, standard polynomial interpolation suffers from the Runge phenomenon. To mitigate this issue, we propose an…

Numerical Analysis · Mathematics 2024-09-06 Francesco Dell'Accio , Francisco Marcellán , Federico Nudo

A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the…

Data Analysis, Statistics and Probability · Physics 2014-10-29 Max Baak , Stefan Gadatsch , Robert Harrington , Wouter Verkerke

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrisation of the onset of confinement in the vicinity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. A. Schneider , T. Renk , M. Thaler , A. Polleri , W. Weise

We investigate an interpolation/extrapolation method that, given scattered observations of the Fourier transform, approximates its inverse. The interpolation algorithm takes advantage of modelling the available data via a shape-driven…

Numerical Analysis · Mathematics 2021-09-22 Emma Perracchione , Anna Maria Massone , Michele Piana

The most striking feature of quark distribution functions transformed to the longitudinal distance representation is the recognizable separation of small and large longitudinal distances. While the former are responsible for the average…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Mankiewicz , T. Weigl

In this work, we introduce the Kaiser-Bessel interpolation basis for the particle-mesh interpolation in the fast Ewald method. A reliable a priori error estimate is developed to measure the accuracy of the force computation in correlated…

Chemical Physics · Physics 2017-06-14 Xingyu Gao , Jun Fang , Han Wang

The importance of lattice gauge field interpolation for our recent non-perturbative formulation of chiral gauge theory is emphasized. We illustrate how the requisite properties are satisfied by our recent four-dimensional non-abelian…

High Energy Physics - Lattice · Physics 2009-09-15 Pilar Hernandez , Raman Sundrum

We present the quarkonia correlators for charmonium and bottomonium systems in the pseudoscalar, vector and scalar channels. For the description of quark-antiquark interaction we adopt the temperature dependant colour screening potential of…

High Energy Physics - Phenomenology · Physics 2012-12-27 Arpit Parmar , Bhavin Patel , P. C. Vinodkumar

A quasi-particle model is employed to derive from available lattice QCD calculations an equation of state useable in hydrodynamical simulations of the expansion stage of strongly interacting matter created in ultra-relativistic heavy-ion…

High Energy Physics - Phenomenology · Physics 2009-04-14 B. Kampfer , M. Bluhm , H. Schade , R. Schulze , D. Seipt

A thermodynamic T-matrix approach for elastic 2-body interactions is employed to calculate spectral functions of open and hidden heavy-quark systems in the Quark-Gluon Plasma. This enables the evaluation of quarkonium bound-state properties…

High Energy Physics - Phenomenology · Physics 2014-11-21 F. Riek , R. Rapp

We use the open quantum system formalism to study the dynamical in-medium evolution of quarkonium. The system of quarkonium is described by potential non-relativistic QCD while the environment is a weakly coupled quark-gluon plasma in local…

High Energy Physics - Phenomenology · Physics 2019-06-04 Xiaojun Yao , Thomas Mehen

Suppression of open heavy quarks and quarkonia in heavy-ion collisions are among the most informative probes of quark-gluon plasma (QGP). Interpreting the full wealth of data obtained from the collision events requires a precise theoretical…

High Energy Physics - Phenomenology · Physics 2025-05-01 Bruno Scheihing-Hitschfeld , Xiaojun Yao

Quarkonium decays are studied in the charmonium model. Relativistic corrections, higher-order perturbative QCD corrections and non- perturbative contributions are discussed. Recent measurements of charmonium annihilation rates are used to…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Schuler

The design of large-scale colloidal quantum dots (QDs) assemblies and the investigation of their interaction with their close environment are of great interest for improving QD-based optoelectronic devices' performances. Understanding the…

The quantum bootstrap method is applied to determine the bound-state spectrum of Quarkonium systems using a non-relativistic potential approximation. The method translates the Schr\"odinger equation into a set of algebraic recursion…

High Energy Physics - Phenomenology · Physics 2026-01-23 Jairo Alexis Lopez , Carlos Sandoval

A computationally inexpensive k.p-based interpolation scheme is developed that can extend the eigenvalues and momentum matrix elements of a sparsely sampled k-point grid into a densely sampled one. Dense sampling, often required to…

Materials Science · Physics 2017-03-23 Kristian Berland , Clas Persson

The development of improved algorithms for QCD on the lattice has enabled us to do calculations at small quark masses and get control over the chiral extrapolation. Also finer lattices have become possible, however, a severe slowing down…

High Energy Physics - Phenomenology · Physics 2011-07-28 Stefan Schaefer
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