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We report a next-to-leading-order (NLO) chiral perturbation theory calculation of the neutron-proton scattering cross section in the ${}^1S_0$ channel using a cut-off regularization. The inclusion of two-pion exchanges in the irreducible…

Nuclear Theory · Physics 2014-11-18 C. H. Hyun , T. -S. Park , D. -P. Min

As the pion mass approaches a critical value $m_\pi^\star$ from below, an $S$-wave resonance crosses pion-baryon threshold and becomes a bound state with arbitrarily small binding energy, thus driving the scattering length to diverge. I…

High Energy Physics - Phenomenology · Physics 2016-07-27 Bingwei Long

We consider a nonlocal version of the Nambu and Jona-Lasinio model. The nonlocality is contained in the quark-antiquark bilinears of the four-quark vertices as a form factor of the Gaussian type. The model has three parameters which can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Osipov , A. E. Radzhabov , M. K. Volkov

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

We study the dependence of the pion-pion scattering phase shifts on the light quark mass in both standard and unitarized SU(2) Chiral Perturbation Theory (ChPT) to one and two loops. We then use unitarized SU(3) ChPT to study the elastic…

High Energy Physics - Phenomenology · Physics 2015-05-20 J. Nebreda , J. R. Pelaez

A dynamical approach is developed to predict the $\pi N$ scattering amplitudes starting with the constituent quark models. The first step is to apply a variational method to solve the three-quark bound state problem. The resulting wave…

Nuclear Theory · Physics 2009-10-31 T. Yoshimoto , T. Sato , M. Arima , T. -S. H. Lee

We study the scaling of meson-meson scattering amplitudes with the number of colors, $N_\text{c}$. We use lattice calculations in a theory with $N_\text{f}=4$ degenerate flavors, with $N_\text{c}=3-6$ and pion mass $M_\pi\approx 560$ MeV.…

High Energy Physics - Lattice · Physics 2025-09-04 Jorge Baeza-Ballesteros , Pilar Hernández , Fernando Romero-López

We study scattering of particles which obey an $SU(N)$ global symmetry through the lens of quantum computation and quantum algorithms. We show that for scattering between particles which transform in the fundamental or anti-fundamental…

Quantum Physics · Physics 2025-11-14 Navin McGinnis

In this work we study the $\pi N$ scattering process within the Baryon Chiral Perturbation Theory framework in the covariant scheme of Extended-On-Mass-Shell (EOMS). We compare the description obtained in this scheme with the previously…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. M. Alarcon , J. Martin Camalich , J. A. Oller

We present a report on a calculation of scattering length for I=2 $S$-wave two-pion system from two-pion wave function. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at $a^{-1}=1.207(12)…

We build a relativistic model to perform calculations of exclusive, semi-exclusive and inclusive unpolarized cross sections and various polarization observables in electron and neutrino scattering experiments with deuteron targets. The…

Nuclear Theory · Physics 2023-03-08 A. Grassi , J. Golak , W. N. Polyzou , R. Skibiński , H. Witała , H. Kamada

A model for dihadron fragmentation functions is briefly outlined, that describes the fragmentation of a quark in two unpolarized hadrons. The parameters are tuned to the output of the PYTHIA event generator for two-hadron semi-inclusive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marco Radici

Four-graviton scattering in eleven-dimensional supergravity is considered at one loop compactified on one, two and three-dimensional tori. The dependence on the toroidal geometry determines the known perturbative and non-perturbative terms…

High Energy Physics - Theory · Physics 2010-11-19 M. B. Green , M. Gutperle , P. Vanhove

We study pion-nucleon scattering at tree level with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars using a K-matrix unitarization procedure. Evaluating the scattering amplitude to order $Q^2$, where $Q$ is a generic small…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul J. Ellis , Hua-Bin Tang

We extend the pion-nucleus multiple-scattering framework to include detailed second-order rescattering dynamics for nuclei with non-zero isospin. To account for intermediate charge-exchange and nucleon spin-flip effects, we develop a…

We review different notions of cuts appearing throughout the literature on scattering amplitudes. Despite similar names, such as unitarity cuts or generalized cuts, they often represent distinct computations and distinct physics. We…

High Energy Physics - Theory · Physics 2025-01-09 Ruth Britto , Claude Duhr , Holmfridur S. Hannesdottir , Sebastian Mizera

We determine the values of the one- and two-loop low energy constants appearing in the SU(2) Chiral Perturbation Theory calculation of pion-pion scattering. For this we use a recent and precise sum rule determination of some scattering…

High Energy Physics - Phenomenology · Physics 2015-06-05 J. Nebreda , J. R. Pelaez , G. Rios

The aim of this paper is to investigate an efficient strategy that allows to obtain pi-pi phase shifts and rho meson properties from QCD lattice data with high precision. For this purpose we evaluate the levels of the pi-pi system in the…

High Energy Physics - Lattice · Physics 2015-03-20 Hua-Xing Chen , E. Oset

The analytic properties of the elastic hadron scattering amplitude are examined in the impact parameter representation at high energies. Different unitarization procedures and the corresponding non-linear equations are presented. Several…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. V. Selyugin , J. R. Cudell

We present a determination of the mass, width and coupling of the strange resonances appearing in pion-kaon scattering below 1.8 GeV, namely the much debated $K^*_0(800)$ or $\kappa$, the scalar $K^*_0(1430)$, the $K^*(892)$ and $K^*(1410)$…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. Rodas , J. R. Pelaez , J. Ruiz de Elvira
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