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Related papers: Off-Mass-Shell $\pi$N Scattering and $pp \to pp \p…

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We describe the pi N -> omega N cross section from threshold to a center of mass energy of 2 GeV in a unitary coupled-channel model and analyze it in terms of rescattering and resonance excitations. The amplitude is mainly composed of D13,…

Nuclear Theory · Physics 2014-11-18 G. Penner , U. Mosel

This is the first of a series of papers devoted to a detailed analysis of isospin-breaking effects in the $\pi \pi$ scattering amplitude and the vector form factor of the pion. Isospin breaking originates from the mass difference between up…

High Energy Physics - Phenomenology · Physics 2025-11-13 Gilberto Colangelo , Martina Cottini , Jacobo Ruiz de Elvira

Within the framework of the massive O($N$) nonlinear sigma model extended to the next-to-leading order in the chiral counting (for $N=3$ corresponding to the two(-quark)-flavor Chiral Perturbation Theory), we calculate the relativistic…

High Energy Physics - Phenomenology · Physics 2021-10-04 Johan Bijnens , Tomáš Husek

We show that processes involving pions that remain very near their mass-shell can be reliably computed in the pionless effective field theory, with the pion integrated in as a heavy field. As an application, we compute the pion-deuteron…

Nuclear Theory · Physics 2009-11-07 Silas R. Beane , Martin J. Savage

We report on the advances in the calculation of the two-loop scattering amplitudes for five-particle processes with one off-shell leg. Focusing on the production of a Higgs boson in association with a bottom quark pair, we outline how the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jakub Kryś

We study the effects of off-shellness in the generalized parton distributions of the pion. On general grounds, these distributions exhibit a richer structure than in the on-shell case due to absence of the crossing symmetry. In particular,…

High Energy Physics - Phenomenology · Physics 2023-11-21 Vanamali Shastry , Wojciech Broniowski , Enrique Ruiz Arriola

We calculate the complete $T$-matrices of pion-nucleon ($\pi N$) scattering to the third order in heavy baryon SU(3) chiral perturbation theory. The baryon mass in the chiral limit $M_0$ and the low-energy constants are determined by…

Nuclear Theory · Physics 2020-04-03 Bo-Lin Huang , Jing Ou-Yang

We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called…

High Energy Physics - Lattice · Physics 2016-11-01 Michael Döring , Bin Hu , Maxim Mai

We examine the uncertainties involved in the off-mass-shell extrapolation of the $K\rightarrow \pi\pi$ decay amplitude with emphasis on those aspects that have so far been overlooked or ignored. Among them are initial-state interactions,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mahiko Suzuki

A unified description of NN and pi-N elastic scattering is presented in the framework of the one solitary boson exchange potential (OSBEP). This model already successfully applied to analyze NN scattering is now extended to describe pi-N…

Nuclear Theory · Physics 2008-11-26 L. Jaede

Off-shell propagation of nucleons is neglected in one-body transport models of heavy-ion collisions, but it could be significant in processes that are limited by phase space, such as the threshold production of heavy particles. We estimate…

Nuclear Theory · Physics 2009-10-28 G. F. Bertsch , P. Danielewicz

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 use power-counting arguments as an organizing principle to apply chiral perturbation theory, including an explicit $\Delta$, to the $p p \rightarrow p p \pi^0$ reaction near threshold. There are two lowest-order leading mechanisms…

Nuclear Theory · Physics 2008-11-26 T. D. Cohen , J. L. Friar , G. A. Miller , U. van Kolck

The momemtum dependence of the off-shell $\rho$-$\omega$ mixing amplitude is calculated through a two-quark loop diagram, using non-perturbative meson-quark vertex functions for the $\rho$ and $\omega$ mesons, as well as non-perturbative…

Nuclear Theory · Physics 2008-11-26 A. N. Mitra , K. -C. Yang

We present a dispersive representation of the $\gamma N\rightarrow \pi N$ partial-wave amplitude based on unitarity and analyticity. In this representation, the right-hand-cut contribution responsible for $\pi N$ final-state-interaction…

High Energy Physics - Phenomenology · Physics 2021-02-03 Yao Ma , Wen-Qi Niu , De-Liang Yao , Han-Qing Zheng

We evaluate the contribution of pion-pion rescattering to the $p p \to p p \pi^+ \pi^-$ and $p \bar p \to p \bar p \pi^+ \pi^-$ reactions. We compare our results with the close-to-threshold experimental data. The pion-pion rescattering…

Nuclear Theory · Physics 2009-10-06 Piotr Lebiedowicz , Antoni Szczurek , Robert Kaminski

The experimental data on pi N scattering in the elastic energy region T_pi < 250 MeV are analyzed within the multichannel K-matrix approach with effective Lagrangians. Isospin invariance is not assumed in this analysis and the physical…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. B. Gridnev , I. Horn , W. J. Briscoe , I. I. Strakovsky

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Apoorva Patel , Stephen Sharpe

To study cross sections and polarization asymmetries for the processes $e p \to e n \pi^+$ and $e p \to e p \pi^0$ in the backward region, we develop a flexible phenomenological model for nucleon-to-pion transition distribution amplitudes…

High Energy Physics - Phenomenology · Physics 2025-11-03 Bernard Pire , Kirill Semenov-Tian-Shansky , Paweł Sznajder , Lech Szymanowski

We present an overview of recent developments, based on on-shell techniques, in the calculation of multi-parton scattering amplitudes at one loop that are relevant for phenomenological studies at hadron colliders. These new on-shell methods…

High Energy Physics - Phenomenology · Physics 2015-05-14 Carola F. Berger , Darren Forde