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The method of controlled Lagrangians for discrete mechanical systems is extended to include potential shaping in order to achieve complete state-space asymptotic stabilization. New terms in the controlled shape equation that are necessary…

Optimization and Control · Mathematics 2016-11-15 Anthony M. Bloch , Melvin Leok , Jerrold E. Marsden , Dmitry V. Zenkov

The nuclear suppression of heavy quarkonium production at low transverse momentum in pA collisions in high energy scatterings is investigated in the small-x factorization formalism. A universal suppression is found in the large Nc limit…

High Energy Physics - Phenomenology · Physics 2014-02-12 Jian-Wei Qiu , Peng Sun , Bo-Wen Xiao , Feng Yuan

We analyze the Schr\"odingerization method for quantum simulation of a general class of non-unitary dynamics with inhomogeneous source terms. The Schr\"odingerization technique, introduced in [31], transforms any linear ordinary and partial…

Numerical Analysis · Mathematics 2025-04-15 Shi Jin , Nana Liu , Chuwen Ma

We investigate $B \bar B$ systems by computing potentials of two static quarks in the presence of two quarks of finite mass using lattice QCD. By solving the Schr\"odinger equation we check whether these potentials are sufficiently…

High Energy Physics - Lattice · Physics 2016-11-03 Antje Peters , Pedro Bicudo , Krzysztof Cichy , Marc Wagner

We review and compare different variational formulations for the Schr\"{o}dinger field. Some of them rely on the addition of a conveniently chosen total time derivative to the hermitic Lagrangian. Alternatively, the Dirac-Bergmann algorithm…

High Energy Physics - Theory · Physics 2009-11-10 László Á. Gergely

This paper deals with two domain decomposition methods for two dimensional linear Schr{\"o}dinger equation, the Schwarz waveform relaxation method and the domain decomposition in space method. After presenting the classical algorithms, we…

Numerical Analysis · Mathematics 2016-03-11 Christophe Besse , Feng Xing

We discuss kinematical enhancements of cutoff effects at short and intermediate distances. Starting from a pedagogical example with periodic boundary conditions, we switch to the case of the Schroedinger Functional, where the theoretical…

High Energy Physics - Lattice · Physics 2009-03-04 Michele Della Morte , Rainer Sommer , Shinji Takeda

Using the two-component model that includes both initial production from nucleon-nucleon hard scattering and regeneration from produced quark-gluon plasma (QGP), we study the effect of medium modifications of the binding energies and radii…

Nuclear Theory · Physics 2016-02-17 Taesoo Song , Kyong Chol Han , Che Ming Ko

The recent experimental developments in the measurement of hyperfine splittings in the bound states of charmonium and bottomonium are presented. Their implications for the hyperfine interactions in the heavy quark systems are discussed.

High Energy Physics - Experiment · Physics 2015-05-14 Kamal K. Seth

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy region, where…

High Energy Physics - Lattice · Physics 2014-11-21 S. Aoki , K. -I. Ishikawa , N. Ishizuka , T. Izubuchi , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

In this paper a nonlinear coupled Schrodinger system in the presence of mixed cubic and superlinear power laws is considered. A non standard numerical method is developed to approximate the solutions in higher dimensional case. The idea…

Numerical Analysis · Mathematics 2018-05-16 Abdurahman F. Aljohani , Anouar Ben Mabrouk

In this work, we obtain the Schr\"odinger equation solutions for the Kratzer potential plus screened Coulomb potential model using the series expansion method. The energy eigenvalues is obtained in non-relativistic regime and the…

High Energy Physics - Phenomenology · Physics 2021-01-06 Etido P. Inyang , Ephraim P. Inyang , Joseph E. Ntibi , Eddy S. William

We study the effect of a static homogeneous external magnetic field on charmonium and bottomonium states. In an external magnetic field, quarkonium states do not have a conserved center-of-mass momentum. Instead there is a new conserved…

High Energy Physics - Phenomenology · Physics 2013-11-19 Jeremy Alford , Michael Strickland

We discuss the renormalisation properties of the complete set of $\Delta B = 2$ four-quark operators with the heavy quark treated in the static approximation. We elucidate the role of heavy quark symmetry and other symmetry transformations…

High Energy Physics - Lattice · Physics 2009-11-11 F. Palombi , M. Papinutto , C. Pena , H. Wittig

Properties of bottomonia (Upsilon, chi_b and Upsilon') in the Quark-Gluon Plasma (QGP) are investigated by assessing inelastic reaction rates and their interplay with open-bottom states (b-quarks or B-mesons) and color-screening. The latter…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Grandchamp , S. Lumpkins , D. Sun , H. van Hees , R. Rapp

This note provides a simple derivation of the overdamped approximation for kinetic (or underdamped) equilibrium Langevin dynamics, in cases where certain coefficients depend on the position variable. The equivalent small-mass limit of these…

Probability · Mathematics 2026-05-11 Noé Blassel

Bottomonium production in heavy ion collisions is modified compared with any simple extrapolation from elementary collisions. This modification is most likely caused by the presence of a deconfined system of quarks and gluons for times of…

Nuclear Theory · Physics 2017-04-11 P. Petreczky , C. Young

We evaluate the nuclear suppression factor, $R_{AA}(p_T)$ for light hadrons by taking into account the collisional energy loss. We show that in the measured $p_T$ domain of RHIC the elastic process is the dominant mechanism for the partonic…

Nuclear Theory · Physics 2008-11-26 Pradip Roy , Jan-e Alam , Abhee K. Dutt-Mazumder

It is shown that a macroscopic superposition state of radiation, strongly interacting with an ensemble of two-level atoms, is removed generating a coherent state describing a classical radiation field, when the thermodynamic limit is taken…

Quantum Physics · Physics 2011-08-04 Marco Frasca

A simplified model is introduced and analysed to show, that for the Landau-Lifshitz equation stable, steady state solutions of domain type exist in ferromagnetic systems, strongly driven by external transverse fields. These dynamic domain…

Condensed Matter · Physics 2007-05-23 T. Plefka