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We consider nearly-integrable Hamiltonian systems defined over a non-resonant domain. In the neighborhood of resonances, we use Nekhoroshev-like estimates to provide effective stability bounds for the action variables over long time. The…

Dynamical Systems · Mathematics 2026-04-08 Alessandra Celletti , Anargyros Dogkas , Alessia Francesca Guido

Chiral effective field theory complements numerical simulations of quantum chromodynamics (QCD) on a space-time lattice. It provides a model-independent formalism for connecting lattice simulation results at finite volume and a variety of…

High Energy Physics - Lattice · Physics 2015-03-13 J. M. M. Hall , R. D. Young , D. B. Leinweber

We present the effective range expansions for the 1S_0 and 3S_1 scattering phase shifts, and the relativistic deuteron wave functions that accompany our recent high precision fits (with chi^2/N{data} approx 1) to the 2007 world np data…

Nuclear Theory · Physics 2014-11-21 Franz Gross , Alfred Stadler

We develop a polymer expansion with large/small field conditions for the mean resolvent of a weakly disordered system. Then we show that we can apply our result to a two-dimensional model, for energies outside the unperturbed spectrum or in…

Disordered Systems and Neural Networks · Physics 2008-02-03 Gilles Poirot

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to…

High Energy Physics - Phenomenology · Physics 2021-10-26 De-Liang Yao , Ling-Yun Dai , Han-Qing Zheng , Zhi-Yong Zhou

The exploration of energies above the open-flavor threshold in the meson spectra has led to the appearance of unexpected states difficult to accommodate in the naive picture of a bound state of a quark and an antiquark. Many of such states…

High Energy Physics - Phenomenology · Physics 2018-08-29 Pablo G. Ortega , Jorge Segovia , David R. Entem , Francisco Fernández

We study heavy hadron spectroscopy near heavy meson thresholds. We employ heavy pseudoscalar meson P and heavy vector meson P* as effective degrees of freedom and consider meson exchange potentials between them. All possible composite…

High Energy Physics - Phenomenology · Physics 2015-06-11 Shunsuke Ohkoda , Y. Yamaguchi , S. Yasui , K. Sudoh , A. Hosaka

Resonant modes in a lossy periodic structure sandwiched between two lossless homogeneous media form bands that depend on the Bloch wavevector continuously and have a complex frequency due to radiation and absorption losses. A complex bound…

Optics · Physics 2022-02-16 Ling Tan , Lijun Yuan , Ya Yan Lu

Contrary to prevailing notion we find that the spectrum associated with the extended states in a complex system may belong to the Poisson universality class if the system is subjected to a specific set of constraints. Our results are based…

Statistical Mechanics · Physics 2017-06-07 Triparna Mondal , Suchetana Sadhukhan , Pragya Shukla

A new type of perturbative expansion is built in order to give a rigorous derivation and to clarify the range of validity of some commonly used model equations. This model describes the evolution of the modulation of two short and localized…

Optics · Physics 2015-06-26 Herve Leblond

Metamaterial effective parameters may exhibit freedom from typical dispersion constraints. For instance, the emergence of a magnetic response in arrays of split-ring resonators for long wavelengths cannot be attained in a passive continuous…

Optics · Physics 2015-04-13 Christopher A. Dirdal , Tarjei Bondevik , Johannes Skaar

The resonant-state expansion, a recently developed powerful method in electrodynamics, is generalized here for open optical systems containing magnetic, chiral, or bi-anisotropic materials. It is shown that the key matrix eigenvalue…

Optics · Physics 2018-04-24 E. A. Muljarov , T. Weiss

When an exotic hadron locates near the threshold with the channel couplings, the internal structure of the exotic hadron is related to the scattering length. To incorporate the threshold effect, the Flatt\'{e} amplitude has been often used…

High Energy Physics - Phenomenology · Physics 2023-09-27 Katsuyoshi Sone , Tetsuo Hyodo

The last two decades are marked by a renaissance in hadronic spectroscopy caused by the arrival of vast experimental information on exotic states in the spectrum of charmonium and bottomonium. Most of such states have properties at odds…

High Energy Physics - Phenomenology · Physics 2022-12-02 Christoph Hanhart , Alexey Nefediev

The resonances, containing $c\bar c$ plus $s\bar s$ (or light $q\bar q$) quarks in the mass region $(3900-4700)$ MeV, are analyzed in the relativistic strong coupling theory, with and without channel coupling phenomena. The conventional…

High Energy Physics - Phenomenology · Physics 2022-11-30 A. M. Badalian , Yu. A. Simonov

Motivated by the experimental findings of some new exotic states decaying into channels like $J/\psi \phi$, we investigate the formation of resonances/bound states in the $D^*_s\bar D^*_s$ system using QCD sum rules. To do this we start…

High Energy Physics - Phenomenology · Physics 2017-07-11 A. Martínez Torres , K. P. Khemchandani , J. M. Dias , F. S. Navarra , M. Nielsen

We study the properties of the Resonance-Spectrum Expansion near threshold in I=0 S-wave pion-pion scattering. The real part of the amplitude, when extrapolated from above threshold to below threshold, is found to vanish at a positive…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eef van Beveren , George Rupp

We report on our determination of the values of the one and two loop low energy constants appearing in the Chiral Perturbation Theory calculation of the pi-pi scattering amplitude. For this we use a precise sum rule determination of…

High Energy Physics - Phenomenology · Physics 2013-02-22 Guillermo Rios , Jenifer Nebreda , Jose R. Pelaez

We present and discuss properties of isospin asymmetric matter whose equation of state is derived from recent high-quality chiral nucleon-nucleon potentials and chiral effective three-nucleon forces. After a brief review of the chiral…

Nuclear Theory · Physics 2019-06-10 Randy Millerson , Francesca Sammarruca

Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives…

Atomic Physics · Physics 2024-07-03 Lucas Madeira