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We apply a model-independent reconstruction method to experimental data in order to identify complex poles of overlapping resonances. The algorithm is based on the Schlessinger Point Method where data points are interpolated using a…

High Energy Physics - Phenomenology · Physics 2023-03-22 Daniele Binosi , Alessandro Pilloni , Ralf-Arno Tripolt

A unitary multi-channel approach, first developed by the Carnegie-Mellon- Berkeley group, is applied to extract the pole positions, masses, and partial decay widths of nucleon resonances. Input used are the partial wave amplitudes for the…

Nuclear Theory · Physics 2008-11-26 T. P. Vrana , S. A. Dytman , T. -S. H. Lee

We extract K-matrix poles from our fits to elastic pion-nucleon scattering and eta-nucleon production data in order to test a recently proposed method for the determination of resonance properties, based on the trace of the K-matrix. We…

Nuclear Theory · Physics 2009-08-12 R. L. Workman , R. A. Arndt , M. Paris

Making use of the analytical properties of the $S$-matrix and a theorem of Mittag-Leffler, model independent non-relativistic expressions for cross sections in single channel elastic scattering, scattering phase shifts and survival…

High Energy Physics - Phenomenology · Physics 2018-07-18 D. F. Ramírez Jiménez , N. G. Kelkar

We extract pole positions for the N(1535) and N(1650) resonances using two different models. The positions are determined from fits to different subsets of the existing $\pi N\to\pi N$, $\pi N\to\eta N$ and $\gamma p\to\eta p$ data and…

Nuclear Theory · Physics 2008-11-26 R. A. Arndt , A. M. Green , R. L. Workman , S. Wycech

We probed the pole structure of the $P_\psi^{N}(4312)^{+}$ using a trained deep neural network. The training dataset was generated using uniformized independent S-matrix poles to ensure that the obtained interpretation is as…

High Energy Physics - Phenomenology · Physics 2024-05-28 Leonarc Michelle Santos , Vince Angelo A. Chavez , Denny Lane B. Sombillo

We develop a robust method to extract the pole configuration of a given partial-wave amplitude. In our approach, a deep neural network is constructed where the statistical errors of the experimental data are taken into account. The teaching…

High Energy Physics - Phenomenology · Physics 2021-08-09 Denny Lane B. Sombillo , Yoichi Ikeda , Toru Sato , Atsushi Hosaka

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…

In this work, we present a precise and model--independent method to extract resonance pole parameters from phase-shift scattering data. These parameters are defined from the associated poles in the second Riemann sheet, unfolded by the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Pere Masjuan , Jacobo Ruiz de Elvira , Juan José Sanz-Cillero

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

In the framework of a random matrix description of chaotic quantum scattering the positions of $S-$matrix poles are given by complex eigenvalues $Z_i$ of an effective non-Hermitian random-matrix Hamiltonian. We put forward a conjecture on…

Condensed Matter · Physics 2009-10-31 Yan V. Fyodorov , Mikhail Titov , H. -J. Sommers

Estimates of Breit-Wigner parameters of nucleon resonances were obtained by phenomenological analysis of eta meson photoproduction on protons performed completely by statistical procedures without appealing to theoretical models

Nuclear Theory · Physics 2007-05-23 E. V. Balandina , E. M. Leikin , N. P. Yudin

We report new measurements of the total cross sections for $e^+e^-\to \Upsilon(n{\rm S})\pi^+\pi^-$ ($n$ = 1, 2, 3) and $e^+e^-\to b\bar b$ from a high-luminosity fine scan of the region $\sqrt{s} = 10.63$-$11.05$ GeV with the Belle…

High Energy Physics - Experiment · Physics 2016-09-20 Belle Collaboration , D. Santel , K. Kinoshita , P. Chang , A. Abdesselam , I. Adachi , H. Aihara , S. Al Said , K. Arinstein , D. M. Asner , T. Aushev , R. Ayad , A. M. Bakich , V. Bansal , B. Bhuyan , A. Bobrov , A. Bondar , G. Bonvicini , M. Bračko , T. E. Browder , D. Červenkov , V. Chekelian , B. G. Cheon , K. Chilikin , K. Cho , V. Chobanova , S. -K. Choi , Y. Choi , D. Cinabro , J. Dalseno , M. Danilov , J. Dingfelder , Z. Doležal , Z. Drásal , A. Drutskoy , S. Eidelman , H. Farhat , J. E. Fast , T. Ferber , V. Gaur , N. Gabyshev , A. Garmash , D. Getzkow , R. Gillard , Y. M. Goh , J. Haba , T. Hara , K. Hayasaka , H. Hayashii , X. H. He , W. -S. Hou , H. J. Hyun , T. Iijima , K. Inami , A. Ishikawa , R. Itoh , Y. Iwasaki , I. Jaegle , D. Joffe , T. Julius , K. H. Kang , E. Kato , T. Kawasaki , C. Kiesling , D. Y. Kim , H. J. Kim , J. B. Kim , J. H. Kim , M. J. Kim , S. H. Kim , Y. J. Kim , B. R. Ko , P. Kodyš , S. Korpar , P. Križan , P. Krokovny , A. Kuzmin , J. S. Lange , I. S. Lee , Y. Li , L. Li Gioi , J. Libby , D. Liventsev , P. Lukin , D. Matvienko , K. Miyabayashi , H. Miyata , R. Mizuk , G. B. Mohanty , A. Moll , T. Mori , R. Mussa , E. Nakano , M. Nakao , T. Nanut , Z. Natkaniec , N. K. Nisar , S. Nishida , S. Ogawa , S. Okuno , S. L. Olsen , C. Oswald , P. Pakhlov , G. Pakhlova , C. W. Park , H. Park , T. K. Pedlar , M. Petrič , L. E. Piilonen , E. Ribežl , M. Ritter , A. Rostomyan , S. Ryu , Y. Sakai , S. Sandilya , L. Santelj , T. Sanuki , V. Savinov , O. Schneider , G. Schnell , C. Schwanda , A. J. Schwartz , K. Senyo , M. E. Sevior , V. Shebalin , T. -A. Shibata , J. -G. Shiu , B. Shwartz , A. Sibidanov , F. Simon , Y. -S. Sohn , E. Solovieva , M. Starič , M. Steder , U. Tamponi , G. Tatishvili , Y. Teramoto , K. Trabelsi , M. Uchida , T. Uglov , Y. Unno , S. Uno , C. Van Hulse , P. Vanhoefer , G. Varner , A. Vinokurova , M. N. Wagner , P. Wang , X. L. Wang , M. Watanabe , Y. Watanabe , E. Won , J. Yamaoka , Y. -P. Yang , S. Yashchenko , Y. Yook , Y. Yusa , Z. P. Zhang , V. Zhilich , V. Zhulanov , A. Zupanc

A new parametrization of the multi-channel S-matrix is used to fit scattering data and then to locate the resonances as its poles. The S-matrix is written in terms of the corresponding "in" and "out" Jost matrices which are expanded in the…

Nuclear Theory · Physics 2016-03-08 P. Vaandrager , S. A. Rakityansky

We show that two P11 nucleon resonance poles near the pi Delta threshold, obtained in several analyses, are stable against large variations of parameters within a dynamical coupled-channels analysis based on meson-exchange mechanisms. By…

Nuclear Theory · Physics 2014-11-20 H. Kamano , S. X. Nakamura , T. -S. H. Lee , T. Sato

We consider the masses used in recent studies involving the nonstrange sector of the l=1 baryons. The use of T-matrix and K-matrix poles versus the conventional Breit-Wigner masses is discussed within the context of a large-Nc fitting…

Nuclear Theory · Physics 2009-10-31 R. L. Workman

We study the pole properties of $\Lambda(1405)$ in a model-independent manner by applying the Uniformized Mittag-Leffler expansion proposed in our previous paper. The resonant energy, width and residues are determined by expanding the…

High Energy Physics - Phenomenology · Physics 2021-04-07 Wren Yamada , Osamu Morimatsu

We compare fits to piN elastic scattering data, based on a Chew-Mandelstam K-matrix formalism. Resonances, characterized by T-matrix poles, are compared in fits generated with and without explicit Chew-Mandelstam K-matrix poles.…

High Energy Physics - Phenomenology · Physics 2013-05-30 R. L. Workman , R. A. Arndt , W. J. Briscoe , M. W. Paris , I. I. Strakovsky

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 present a FORTRAN 77 code for evaluation of resonance pole positions and residues of a numerical scattering matrix element in the complex energy (CE) as well as in the complex angular momentum (CAM) planes. Analytical continuation of the…

Computational Physics · Physics 2022-04-13 D. Sokolovski , E. Akhmatskaya , S. K. Sen
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