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Related papers: Resolving the $\Delta(1232)$ partial width anomaly…

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Electromagnetic decays of the scalar mesons are shown to be constrained by chiral symmetry as a consequence of the fact that, in the chiral limit, the two and three-point functions $<SS-PP>$ and $<VVS>$ satisfy super-convergent dispersion…

High Energy Physics - Phenomenology · Physics 2009-09-25 B. Moussallam , J. Stern

A basic measure of the combinatorial complexity of a convexity space is its Radon number. In this paper we show a fractional Helly theorem for convexity spaces with a bounded Radon number, answering a question of Kalai. As a consequence we…

Combinatorics · Mathematics 2019-03-05 Andreas F. Holmsen , Dong-Gyu Lee

Studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances using $N_f=2+1$ lattice QCD for pion masses near 200 MeV are presented. The $s$-wave scattering lengths for both the $I=1/2$ $N \pi$ and…

Hadronic resonances, thanks to their relatively short lifetimes, can be used to probe the properties of the hadronic phase in ultrarelativistic heavy-ion collisions. In particular their lifetimes are exploited to investigate the interplay…

Nuclear Experiment · Physics 2021-09-06 Vikash Sumberia

High-resolution spectrometer measurements of the reaction H(e,e'K+)X at small Q2 are used to extract the mass and width of the Lambda(1520). We investigate the influence of various assumptions used in the extraction. The width appears to be…

High Energy Physics - Phenomenology · Physics 2011-01-19 Y. Qiang , Ya. I. Azimov , I. I. Strakovsky , W. J. Briscoe , H. Gao , D. W. Higinbotham , V. V. Nelyubin

We show that, in odd dimensions, any real valued, bounded potential of compact support has at least one scattering resonance. For dimensions three and higher this was previously known only for sufficiently smooth potentials. The proof is…

Analysis of PDEs · Mathematics 2014-11-21 Hart F. Smith , Maciej Zworski

Hadronic resonances emerge from strong interactions encoding the dynamics of quarks and gluons. The structure of these resonances can be probed by virtual photons parameterized in transition form factors. In this study, twelve $N^*$ and…

In this note we describe hadrons: mesons and baryons as strings with electric charges on their endpoints. We consider here only the neutral system with opposite charges coupled to an external constant electric and magnetic fields. We derive…

High Energy Physics - Theory · Physics 2020-07-24 Jacob Sonnenschein , Dorin Weissman , Shimon Yankielowicz

In this work we study the strong decays of $\phi(2170)$ to final states involving the kaonic resonances $K(1460)$, $K_1(1270)$ and $K_1(1400)$, on which experimental data have recently been extracted by the BESIII Collaboration. The…

High Energy Physics - Phenomenology · Physics 2021-02-03 Brenda B. Malabarba , Xiu-Lei Ren , K. P. Khemchandani , A. Martinez Torres

We address electromagnetic properties of quasi-stable baryons in the context of chiral extrapolations of lattice QCD results. For particles near their decay threshold we show that the application of a small external magnetic field changes…

High Energy Physics - Phenomenology · Physics 2015-05-27 T. Ledwig , J. Martin-Camalich , V. Pascalutsa , M. Vanderhaeghen

We determine the $\Delta(1232)$ resonance parameters using lattice QCD and the L\"uscher method. The resonance occurs in elastic pion-nucleon scattering with $J^P=3/2^+$ in the isospin $I = 3/2$, $P$-wave channel. Our calculation is…

Unconstrained partial-wave amplitudes obtained at discrete energies from fits to complete sets of experimental data may not vary smoothly with energy, and are in principle non-unique. We demonstrate how this behavior can be ascribed to the…

By means of the Inverse Amplitude Method we unitarize the elastic pion-nucleon scattering amplitudes obtained from Heavy Baryon Chiral Perturbation Theory to O(q^3). Within this approach we can enlarge their applicability range and generate…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gomez Nicola , J. R. Pelaez

Within a dynamical model, rescattering effects are studied in coherent pion photoproduction on the deuteron in the $\Delta$(1232) resonance region. The model consists of a system of coupled equations for the N$\Delta$, NN$\pi$ and NN…

Nuclear Theory · Physics 2009-10-30 P. Wilhelm , H. Arenhoevel

We study scattering from potentials that rise monotonically on one side; this is generally avoided. We report that resonant states are absent in such potentials when they are smooth and single-piece having less than three real turning…

Quantum Physics · Physics 2014-08-04 Zafar Ahmed , Shashin Pavaskar , Lakshmi Prakash

After improving the knowledge about residua of the semileptonic form factor at its first two poles we show that $f_+^{D\pi}(q^2)$ is not saturated when compared with the experimental data. To fill the difference we approximate the rest of…

High Energy Physics - Phenomenology · Physics 2014-10-20 Damir Becirevic , Alain Le Yaouanc , Arantza Oyanguren , Patrick Roudeau , Francesco Sanfilippo

In the large $N_c$ limit both heavy and light baryons are described by the universal mean field, which allows us to relate the properties of heavy baryons to light ones. With the only input from the decays of light octet baryons (due to the…

High Energy Physics - Phenomenology · Physics 2017-12-04 Hyun-Chul Kim , Maxim V. Polyakov , Michal Praszalowicz , Ghil-Seok Yang

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

We use the chiral quark soliton model to estimate masses and widths of the two eikosiheptaplets (27-plets of SU(3) flavor) of spin 3/2 and 1/2 that emerge in the rigid rotator quantization. We use as input: hyperon decays, Theta+ mass and…

High Energy Physics - Phenomenology · Physics 2007-09-19 Michal Praszalowicz , Klaus Goeke

In this work, the complete one loop calculation of meson-meson scattering amplitudes within U(3)\otimes U(3) chiral perturbation theory with explicit resonance states is carried out for the first time. Partial waves are unitarized from the…

High Energy Physics - Phenomenology · Physics 2015-03-19 Zhi-Hui Guo , J. A. Oller