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Related papers: Phase shift analysis of low energy pi+/- p scatter…

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The pion - nucleon scattering phase shifts in $s$ and $p$ waves are analyzed using PKU unitarization approach that can separate the phase shifts into different contributions from poles and branch cuts. It is found that in $S_{11}$ and…

High Energy Physics - Phenomenology · Physics 2018-08-01 Yu-Fei Wang

Large discrepancy of the p-wave phase shift data $\delta_{1}(\nu)$ of the $\pi$-$\pi$ scattering from those of the dispersion calculation is pointed out. In order to determine which is correct, the pion form factor $F_{\pi}(\nu)$, which is…

High Energy Physics - Phenomenology · Physics 2011-04-11 Tetsuo Sawada

We report on our recent results in the study of the chiral extrapolation of the phase-shifts in elastic pion-pion scattering, using both standard and unitarized ChPT to one and two loops. In the standard ChPT approach, limited to low…

High Energy Physics - Phenomenology · Physics 2011-08-31 J. Nebreda , J. R. Pelaez , G. Rios

We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We impose unitarity constraints on the S-wave isoscalar pion-pion amplitudes extracted from the analysis of the pi- p ---> pi+ pi- n data which have been measured by the CERN-Cracow-Munich collaboration on a transversely polarized target at…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kaminski , L. Lesniak , K. Rybicki

Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$ dynamical quark flavors and $m_{\pi} = 200~{\rm MeV}$. The $s$-wave scattering lengths with…

An analysis is presented of elastic $P$-wave $\pi\pi$ phase shifts and inelasticities up to 2 GeV, aimed at identifying the corresponding $J^{PC}=1^{--}$ excited $\rho$ resonances and focusing on the $\rho(1250)$ vs. $\rho(1450)$…

High Energy Physics - Phenomenology · Physics 2020-10-07 N. Hammoud , R. Kamiński , V. Nazari , G. Rupp

The electromagnetic corrections to the low energy scattering amplitude involving charged pions only are investigated at leading and next-to-leading orders in the two-flavour chiral expansion. As an application, the corresponding variation…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Knecht , A. Nehme

We consider pionic hydrogen A_(pi p), the bound pi^- p state. Within the quantum field theoretic and relativistic covariant approach we calculate the shift and width of the energy level of the ground state of pionic hydrogen caused by…

Nuclear Theory · Physics 2008-11-26 A. N. Ivanov , M. Faber , A. Hirtl , J. Marton , N. I. Troitskaya

Deep-inelastic ep scattering data, taken with the H1 detector at HERA, are used to study the event shape variables thrust, jet broadening, jet mass, C parameter and two kinds of differential two-jet rate. The data cover a large range of the…

High Energy Physics - Experiment · Physics 2008-11-26 H1 Collaboration , C. Adloff

The pi- d atom strong energy-level shift in the 1s state is derived by using the effective field theory. Taking into account the large value of radius of pionic deuterium and short radius of strong interaction between pion and deuteron we…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. F. Irgaziev , B. A. Fayzullaev

We study elastic N$\alpha $ scattering and produce a quantitative correlation between the range of the effective potential and the energy of the system. This allows the identification of the waves and energies for which the scattering may…

Nuclear Theory · Physics 2016-08-15 L. A. Barreiro , R. Higa , C. L. Lima , M. R. Robilotta

We evaluate analytically the elastic $\pi\pi$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference $\delta_0^0-\delta_1^1$.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

It is shown that isospin-breaking corrections to the pion-deuteron scattering length can be very large, because of the vanishing of the isospin-symmetric contribution to this scattering length at leading order in chiral perturbation theory.…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

We present a lattice QCD calculation of phase shift including the chiral and continuum extrapolations in two-flavor QCD. The calculation is carried out for I=2 S-wave $\pi\pi$ scattering. The phase shift is evaluated for two momentum…

Present status of the study of the low energy $\pi\pi$ interaction is reviewed, including the recent results on reactions $\pi N \to\pi\pi N$ near threshold. Current experimental values of s-wave $\pi\pi$ scattering lengths are compared…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dinko Pocanic

We propose a non relativistic effective Lagrangian approach to study hadronic atom observables in the framework of QCD (including photons). We apply our formalism to derive a general expression for the width of the pi+pi- atom decaying into…

High Energy Physics - Phenomenology · Physics 2011-04-15 J. Gasser , V. E. Lyubovitskij , A. Rusetsky

We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

High Energy Physics - Lattice · Physics 2008-11-26 C. Liu , Y. Shen , X. Li , G. Z. Meng , X. Feng , M. Gong , S. He , Y. Chen , G. Li , Y. B. Liu , X. F. Meng , J. P. Ma , J. B. Zhang

We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass $M\approx 200\;$MeV in Ref. [1]. Using the relativistic three-particle quantization condition, we find $\sim 2…

High Energy Physics - Lattice · Physics 2021-03-16 Tyler D. Blanton , Fernando Romero-López , Stephen R. Sharpe