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Related papers: Pole position of the $a_1(1260)$ resonance in a th…

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Resonant hadronic systems often exhibit a complicated decay pattern in which three-body dynamics play a relevant or even dominant role. In this work we focus on the $a_1(1260)$ resonance. For the first time, the pole position and branching…

High Energy Physics - Lattice · Physics 2021-12-08 Maxim Mai , Andrei Alexandru , Ruairí Brett , Chris Culver , Michael Döring , Frank X. Lee , Daniel Sadasivan

We formulate the final state interaction of the $a_1(1260)$ resonance decay in a manifestly three-body unitary parameterization and fit it to the $a_1(1260)$ lineshape measured by the ALEPH experiment. Dalitz plots calculated from this fit…

Nuclear Theory · Physics 2021-04-09 Daniel Sadasivan , Maxim Mai , Hakan Akdag , Michael Döring

The analytic properties of scattering amplitudes provide important information. Besides the cuts, the poles and zeros on the different Riemann sheets determine the global behavior of the amplitude on the physical axis. Pole positions and…

Nuclear Theory · Physics 2009-10-02 M. Döring , C. Hanhart , F. Huang , S. Krewald , U. -G. Meißner

The axial vector meson $K_1(1270)$ was studied within the chiral unitary approach, where it was shown that it has a two-pole structure. We reanalyze the high-statistics WA3 experiment $K^- p\to K^-\pi^+\pi^- p$ at 63 GeV, which established…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. S. Geng , E. Oset , L. Roca , J. A. Oller

We show how complex resonance poles and threshold energies for systems in hadron physics can be accurately obtained by using a method based on the Pad\'{e}-approximant which was recently developed for the calculation of resonance poles for…

High Energy Physics - Phenomenology · Physics 2018-11-02 Ralf-Arno Tripolt , Idan Haritan , Jochen Wambach , Nimrod Moiseyev

It is common practice in scattering theory to correlate between the position of a resonance peak in the cross section and the real part of a complex energy of a pole of the scattering amplitude. In this work we show that the resonance peak…

Quantum Physics · Physics 2015-05-19 Shachar Klaiman , Nimrod Moiseyev

We study the inclusive and exclusive cross sections of $e^+e^-\to \text{hadrons}$ for center-of-mass energies between 3.70 GeV and 3.83 GeV to infer the mass, width, and couplings of the $\psi(3770)$ resonance. By using a coupled-channel…

High Energy Physics - Phenomenology · Physics 2024-04-11 Christoph Hanhart , Stephan Kürten , Méril Reboud , Danny van Dyk

A coupled-channel S- and P-wave next-to-leading order chiral-unitary approach for strangeness $S=-1$ meson-baryon scattering is extended to include the new data from the KLOE and AMADEUS experiments as well as the $\Lambda\pi$ mass…

We study the properties of three-body resonances using a lattice complex scalar $\varphi^4$ theory with two scalars, with parameters chosen such that one heavy particle can decay into three light ones. We determine the two- and three-body…

High Energy Physics - Lattice · Physics 2023-03-08 Marco Garofalo , Maxim Mai , Fernando Romero-López , Akaki Rusetsky , Carsten Urbach

The energy and the width of resonance states are determined by analytic continuation of bound-state energies as a function of the coupling constant (potential strength). The advantage of the method is that the existing techniques for…

Nuclear Theory · Physics 2008-11-26 N. Tanaka , Y. Suzuki , K. Varga

The phase shift of pion nucleon elastic scattering D33, corresponding to isospin I=3/2 and angular momentum J=3/2, has been parameterized over the range 1100 < W < 1375 MeV, using the single channel p Pi+ data from CNS-DAC. By employing our…

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi

From the parameterization of the pion-nucleon phase shift of the partial wave P33, the pole position and width of the Delta(1232) resonance is determined by using speed plot technique. We found the pole position and the half width of the…

Nuclear Theory · Physics 2010-05-17 Mohamed E. Kelabi , Khaled A. Mazuz , Eman O. Farhat

Algorithm, based on explicit representations for analytic continuation of the T-matrix Faddeev components on unphysical sheets, is worked out for calculations of resonances in the three-body quantum problem. According to the…

Nuclear Theory · Physics 2009-09-25 E. A. Kolganova , A. K. Motovilov

The pole structure of the low energy $\pi\pi$ scattering amplitudes is studied using a proper chiral unitarization method combined with crossing symmetry and the low energy phase shift data. It is found that the $\sigma$ pole position is at…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. Y. Zhou , G. Y. Qin , P. Zhang , Z. G. Xiao , H. Q. Zheng , N. Wu

We have analyzed the $M_{1+}^{(3/2)}$ and $E_{1+}^{(3/2)}$ multipole amplitudes of pion photoproduction in the framework of fixed-$t$ dispersion relations. Applying the speed plot technique to our results for these multipoles, we have…

Nuclear Theory · Physics 2008-11-26 O. Hanstein , D. Drechsel , L. Tiator

We investigate isoscalar axial-vector mesons using a coupled-channel formalism. The kernel amplitudes are constructed from meson-exchange diagrams in the $t$- and $u$-channels, which are derived from effective Lagrangians based on hidden…

High Energy Physics - Phenomenology · Physics 2024-09-05 Samson Clymton , Hyun-Chul Kim

We report four $\Sigma$'s and three $\Lambda$'s, in the 1500 - 1800 MeV region, as two meson - one baryon S-wave $(1/2)^+$ resonances. We solve Faddeev equations in the coupled channel approach. The invariant mass of one of the meson-baryon…

Nuclear Theory · Physics 2008-11-26 A. Martinez Torres , K. P. Khemchandani , E. Oset

We establish the existence of the long-debated $f_0(1370)$ resonance in the dispersive analyses of meson-meson scattering data. For this, we present a novel approach using forward dispersion relations, valid for generic inelastic…

High Energy Physics - Phenomenology · Physics 2024-07-25 Jose Ramon Pelaez , Arkaitz Rodas , Jacobo Ruiz de Elvira

We report on our recent progress in the generation of resonant behavior in unitarized meson-meson scattering amplitudes obtained from Chiral Perturbation Theory. These amplitudes provide simultaneously a remarkable description of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez , A. Gomez Nicola

We study I=0 $d$ wave $\pi\pi$ scattering phase shift using a proper unitarization approach. It is verified that the $f_2(1270)$ resonance corresponds to a twin pole structure: one on the second sheet, another one on the third sheet. Also…

High Energy Physics - Phenomenology · Physics 2010-02-03 Jian-jun Wang , Z. Y. Zhou , H. Q. Zheng
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