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In this paper we show how rotational bands of resonances can be described by using trajectories of poles of the scattering amplitude in the complex angular momentum plane: each band of resonances is represented by the evolution of a single…

Nuclear Theory · Physics 2009-11-10 E. De Micheli , G. A. Viano

We show how the Regge trajectory of a resonance can be obtained from its pole in a scattering process and analytic constraints in the complex angular momentum plane. The method is suited for resonances that dominate an elastic scattering…

High Energy Physics - Phenomenology · Physics 2015-06-18 J. T. Londergan , J. Nebreda , J. R. Pelaez , A. Szczepaniak

Spectra of p-p and pi-p scattering at beam momenta between 6 and 30 GeV/c have been reanalysed. These show strong excitation of N* resonances, the strongest one corresponding to the "scalar" P11 excitation (breathing mode) at m_o= 1400+-10…

High Energy Physics - Experiment · Physics 2016-08-31 H. P. Morsch , P. Zupranski

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

High Energy Physics - Lattice · Physics 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We obtain the $s$- and $p$-wave low-energy scattering parameters for n$^3$H elastic scattering and the position of the $^4$H $J^\pi=1^-$ resonance using the pionless effective field theory at leading order. Results are extracted with three…

We propose a model for $D^+ \to \pi^+ \pi^- \pi^+$ decays following experimental results which indicate that the two-pion interaction in the $S$-wave is dominated by the scalar resonances $f_0(600)/\sigma$ and $f_0(980)$. The weak decay…

High Energy Physics - Phenomenology · Physics 2009-03-20 D. R. Boito , J. -P. Dedonder , B. El-Bennich , O. Leitner , B. Loiseau

We present a lattice-QCD determination of the elastic isospin-$1/2$ $S$-wave and $P$-wave $K\pi$ scattering amplitudes as a function of the center-of-mass energy using L\"uscher's method. We perform global fits of $K$-matrix…

Coupled-channel $\pi K$ and $\eta K$ scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those…

High Energy Physics - Phenomenology · Physics 2015-03-18 David J. Wilson , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

Motivated by the $1/N_c$ expansion, we study a simple model in which the pi-K scattering amplitude is the sum of a current-algebra contact term and resonance pole exchanges. This phenomenological model is crossing symmetric and, when a…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Black , A. H. Fariborz , F. Sannino , J. Schechter

The two reactions $\gamma p\to K^+\Lambda$ and $\pi^-p\to K^0\Lambda$ are analyzed to determine the leading photoproduction multipoles and the pion-induced partial wave amplitudes in slices of the invariant mass. The multipoles and the…

The resonant scattering of surface plasmon-polariton waves by embedded semiconductor quantum dots above the dielectric/metal interface is explored in the strong-coupling regime. In contrast to non-resonant scattering by a localized…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Danhong Huang , Michelle Easter , Godfrey Gumbs , A. A. Maradudin , Shawn-Yu Lin , Dave Cardimona , Xiang Zhang

We present a data-driven analysis of the resonant S-wave $\pi\pi \to \pi\pi$ and $\pi K \to \pi K$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are accounted for using the Taylor expansion…

High Energy Physics - Phenomenology · Physics 2021-06-30 Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

We report here our results on how to obtain the Regge trajectory of a resonance from its pole in a scattering process by imposing analytic constraints in the complex angular momentum plane. The method, suited for resonances that dominate an…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Nebreda , J. T. Londergan , J. R. Pelaez , A. P. Szczepaniak

In a previous paper [Phys. Rev. A 105, 042205 (2022)], the distribution of resonance poles in the complex plane of the wavenumber $k$ associated to the multiple scattering of a quantum particle in a random point field was numerically…

Quantum Physics · Physics 2024-06-14 David Gaspard , Jean-Marc Sparenberg

The formalism of the coupled $q\bar q$ and the $\varphi\varphi ( \pi-\pi$, $K\bar K, \pi K,...$) scalar channels is formulated, taking into account the ground and radial excited $q\bar q$ poles. The basic role is shown to be played by the…

High Energy Physics - Phenomenology · Physics 2020-11-18 A. M. Badalian , M. S. Lukashov , Yu. A. Simonov

The nonlinearity of Regge trajectories at real negative values of the argument is discussed as their general QCD-inspired property. The processes of elastic diffractive scattering $p+p\to p+p$ and $\bar p+p\to\bar p+p$ at collision energies…

High Energy Physics - Phenomenology · Physics 2009-01-30 A. A. Godizov , V. A. Petrov

Properties of the Roper resonance, the first scalar excitation of the nucleon, are determined. Pole positions and residues of the $P_{11}$ partial wave are studied in a combined analysis of pion- and photo-induced reactions. We find the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Sarantsev

A pi-pi, Kbar-K, and rho-rho(omega-omega) fully coupled channel model is used to predict the lowest isospin S, P, D, F-wave phase shifts and inelasticities for elastic pi-pi scattering from threshold to 2.0 GeV. As input the S-matrix is…

Nuclear Theory · Physics 2009-10-30 W. M. Kloet , B. Loiseau

Using an interaction extracted from the local hidden gauge Lagrangians, which brings together vector and pseudoscalar mesons, and the coupled channels $\rho N$ (s-wave), $\pi N$ (d-wave), $\pi \Delta$ (s-wave) and $\pi \Delta$ (d-wave), we…

High Energy Physics - Phenomenology · Physics 2013-05-22 E. J. Garzon , J. J. Xie , E. Oset

We investigate the formation of resonances in the P33 partial wave with the emphasis on possible emergence of dynamically generated quasi-bound states as a consequence of a strong $p$-wave pion attractive interaction in this partial wave,…

High Energy Physics - Phenomenology · Physics 2019-09-25 B. Golli , H. Osmanović , S. Širca
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