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We present a dispersive analysis of the decay amplitude for $\eta'\to\eta\pi\pi$ that is based on the fundamental principles of analyticity and unitarity. In this framework, final-state interactions are fully taken into account. Our…

High Energy Physics - Phenomenology · Physics 2017-07-25 Tobias Isken , Bastian Kubis , Sebastian P. Schneider , Peter Stoffer

The $\pi\pi$ scattering amplitude in the $\sigma$-channel is studied at finite baryonic density in the framework of a chiral unitary approach which successfully reproduces the meson meson phase shifts and generates the $f_0$ and $\sigma$…

Nuclear Theory · Physics 2011-02-09 D. Cabrera , E. Oset , M. J. Vicente Vacas

We compute the pion inclusive momentum distribution in heavy-ion collisions at AGS energies, assuming thermal equilibrium and accounting for density and expansion effects at the time of decoupling. We compare to data on mid rapidity charged…

Nuclear Theory · Physics 2009-10-31 Alejandro Ayala , Julio Barreiro , Luis M. Montaño

The s-wave correlated $\pi$-$\pi$ strength distribution in cold nuclear matter is investigated. The in-medium single pions are renormalized by means of the usual p-wave couplings to nucleons and $\Delta$'s. Two groups of models for the…

Nuclear Theory · Physics 2011-07-19 Z. Aouissat , R. Rapp , G. Chanfray , P. Schuck , J. Wambach

In light of recent high-precision data taken by the BESIII Collaboration, we reconsider the dipion transition $\psi(3686) \rightarrow J/\psi \pi^+\pi^-$. The strong pion-pion final-state interactions are taken into account…

High Energy Physics - Phenomenology · Physics 2026-03-13 Yun-Hua Chen , Xiang-Kun Dong , Feng-Kun Guo , Christoph Hanhart , Bastian Kubis

Recent developments in low energy pion physics are reviewed, emphasizing the strength of dispersion theory in this context. As an illustration of the method, I discuss some consequences of the forward dispersion relation obeyed by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Leutwyler

Properties of scalar--isoscalar mesons in a mass range from pi-pi threshold up to 1800 MeV are analysed using an unitary model with separable interactions in three decay channels: pi-pi, K-anti K and an effective 2pi-2pi. Different…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kamiński , L. Leśniak , B. Loiseau

We analyze the pi pi production amplitudes in the excited Upsilon decay processes, Upsilon(2S)-->Upsilon(1S)pi+pi-, Upsilon(3S)-->Upsilon(1S)pi+pi- and Upsilon(3S)-->Upsilon(2S)pi+pi-, and the pi pi and KKbar production amplitudes in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Toshihiko Komada , Shin Ishida , Muneyuki Ishida

Assuming the QCD multipole expansion is applicable to hadronic transitions of Upsilon(3S) into lower level bottomonia, we consider the possibility that Upsilon(3S) has a D-wave component. This assumption leads to a natural explanation of…

High Energy Physics - Phenomenology · Physics 2011-01-27 Sumantra Chakravarty , Sun Myong Kim , Pyungwon Ko

When the isospin chemical potential exceeds the pion mass, charged pions condense in the zero-momentum state forming a superfluid. Chiral perturbation theory provides a very powerful tool for studying this phase. However, the formalism that…

High Energy Physics - Phenomenology · Physics 2017-02-28 Stefano Carignano , Luca Lepori , Andrea Mammarella , Massimo Mannarelli , Giulia Pagliaroli

The scalar-isoscalar pi-pi phase shifts are calculated in the pi-pi energy range from 600 MeV to 1600 MeV. We use results of the CERN-Cracow-Munich collaboration for the reaction pi^- p --> pi^+ pi^- n on a transversely polarized target at…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. Kaminski , L. Lesniak , K. Rybicki

We examine the hadronic interactions of quarkonia, focusing on the decays psi(2s)->psi pi pi and upsilon(2s)-> upsilon pi pi. The leading gluonic operators in the multipole expansion are matched onto the chiral lagrangian with the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jiunn-Wei Chen , Martin J. Savage

We report the first observation of e+e- -> Upsilon(1S)pi+pi-, Upsilon(2S)pi+pi-, and first evidence for e+e- -> Upsilon(3S)pi+pi-, Upsilon(1S)K+K-, near the peak of the Upsilon(5S) resonance at sqrt{s}~10.87 GeV. The results are based on a…

High Energy Physics - Experiment · Physics 2009-10-26 The Belle Collaboration , K. -F. Chen , W. -S. Hou , M. Shapkin , A. Sokolov et al

The pion mass difference generates a pronounced cusp in K --> 3 pi decays, the strength of which is related to the pi pi S-wave scattering lengths. We apply an effective field theory framework developed earlier to evaluate the amplitudes…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bissegger , A. Fuhrer , J. Gasser , B. Kubis , A. Rusetsky

We calculate the $T$-matrices of elastic pion-nucleon ($\pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $\pi N$ phase shifts below 200…

Nuclear Theory · Physics 2020-12-03 Bo-Lin Huang

We revisit the recently proposed method for the determination of the pi-pi scattering length combination a_{0}-a_{2}, based on the study of the pi0 pi0 spectrum in K+ -> pi+ pi0 pi0. In view of a precision measurement, we discuss here the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicola Cabibbo , Gino Isidori

Dispersive representations of the pi-pi scattering amplitudes and pion form factors, valid at two-loop accuracy in the low-energy expansion, are constructed in the presence of isospin-breaking effects induced by the difference between the…

High Energy Physics - Phenomenology · Physics 2015-06-04 S. Descotes-Genon , M. Knecht

We report the study of e+e- -> Upsilon(1S)pi+pi-, Upsilon(2S)pi+pi-, Upsilon(3S)pi+pi-, and Upsilon(1S)K+K-, near the peak of the Upsilon(5S) resonance. The results are based on a data sample of 21.7 fb^-1 collected with the Belle detector…

High Energy Physics - Experiment · Physics 2019-08-13 K. -F. Chen

A resonance X(3872), first observed in the decays $B \to K X$, has been seen to decay to $J/\psi \pi^+ \pi^-$. The $\pi^+ \pi^-$ mass spectrum peaks near its kinematic upper limit, prompting speculation that the dipion system may be in a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jonathan L. Rosner

A reanalysis of $\pi\pi$ amplitudes for all important partial-waves below about 2 GeV is presented. A set of once subtracted dispersion relations with imposed crossing symmetry condition is used to modify unitary multi-channel amplitudes in…

High Energy Physics - Phenomenology · Physics 2018-01-24 P. Bydžovský , R. Kamiński , V. Nazari