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The impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression…

A calculation of the pion-production operator up to next-to-next-to-leading order for s-wave pions is performed within chiral effective field theory. In the previous study [Phys. Rev. C 85, 054001 (2012)] we discussed the contribution of…

Nuclear Theory · Physics 2013-12-16 A. A. Filin , V. Baru , E. Epelbaum , C. Hanhart , H. Krebs , F. Myhrer

We study the mass of a nucleon in a nucleus using a model recently introduced for a nucleon current with a pion cloud component. The method of QCD sum rules is used to determine the mass shifts for nucleons to first order in nuclear density…

Nuclear Theory · Physics 2007-05-23 Andrew J. Harey , Leonard S. Kisslinger

A symmetry-preserving continuum approach to the two valence-body bound-state problem is used to calculate the valence, glue and sea distributions within the pion; unifying them with, inter alia, electromagnetic pion elastic and transition…

High Energy Physics - Phenomenology · Physics 2020-04-22 Minghui Ding , Khépani Raya , Daniele Binosi , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt

We derive the leading contribution to the four-nucleon force within the framework of chiral effective field theory. It is governed by the exchange of pions and the lowest-order nucleon-nucleon contact interaction and includes effects due to…

Nuclear Theory · Physics 2009-07-28 E. Epelbaum

Neutrino-induced pion and photon production from nucleons and nuclei are important for the interpretation of neutrino-oscillation experiments, and these processes are potential backgrounds in the MiniBooNE experiment [A. A. Aquilar-Arevalo…

Nuclear Theory · Physics 2010-11-30 Brian D. Serot , Xilin Zhang

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is…

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

The pion structure function is investigated in a simple pseudo-scalar coupling model of pion and constituent quark fields. The imaginary part of the forward Compton scattering amplitude is evaluated. We show that the introduction of…

High Energy Physics - Phenomenology · Physics 2017-08-23 P. Stassart , F. Bissey , J. -R. Cudell , J. Cugnon , M. Jaminon , J. -P. Lansberg

Using chiral symmetry we investigate the leading SU(3) violation in light-cone distribution functions phi_M(x) of the pion, kaon, and eta. It is shown that terms non-analytic in the quark masses do not affect the shape, and only appear in…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jiunn-Wei Chen , Iain W. Stewart

We investigate the role of the pion in Covariant Density Functional Theory. Starting from conventional Relativistic Mean Field (RMF) theory with a non-linear coupling of the $\sigma$-meson and without exchange terms we add pions with a…

Nuclear Theory · Physics 2009-11-06 G. A. Lalazissis , S. Karatzikos , M. Serra , T. Otsuka , P. Ring

We propose to introduce the intrinsic transversal momentum distribution functions (iTMDs), in conjunction with the light-cone distribution amplitudes (LCDAs), to elucidate the probability amplitude of encountering a meson state wherein the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Jian Chai , Shan Cheng

We discuss a general diagrammatic description of n-point functions in the QCD instanton vacuum that resums planar diagrams, enforces gauge invariance and spontaneously broken chiral symmetry. We use these diagrammatic rules to derive the…

High Energy Physics - Phenomenology · Physics 2020-07-29 Arthur Kock , Yizhuang Liu , Ismail Zahed

Nuclear processes involving momenta much below the mass of the pion may be described by an effective field theory in which the pions do not appear as explicit degrees of freedom. The effects of the pion and all other virtual hadrons are…

Nuclear Theory · Physics 2008-11-26 Jiunn-Wei Chen , Gautam Rupak , Martin J. Savage

We present a quantitative analysis of the electromagnetic pion form factor in the light-cone sum rule approach, including radiative corrections and higher-twist effects. The comparison to the existing data favors the asymptotic profile of…

High Energy Physics - Phenomenology · Physics 2011-05-05 V. M. Braun , A. Khodjamirian , M. Maul

We employ chiral perturbation theory to calculate the nucleon-pion-state contribution to the 3-point correlation functions measured in lattice QCD to compute various moments of parton distribution functions (quark momentum fraction,…

High Energy Physics - Lattice · Physics 2017-03-08 Oliver Bar

We develop one-loop effective vertices and propagators in the linear sigma model at finite temperature satisfying the chiral Ward identities. We use these in turn to compute the pion dispersion relation in a pion medium for small momentum…

High Energy Physics - Phenomenology · Physics 2009-09-24 Alejandro Ayala , Sarira Sahu , Mauro Napsuciale

The effect of the non-perturbative term is investigated for the pion-nucleon scattering. Including the self-energy of nucleon the cross section of the elastic scattering results in a constant value at the laboratory momentum $p_L \to…

Nuclear Theory · Physics 2020-04-08 Susumu Kinpara

We describe a model for pion production off nucleons and coherent pions from nuclei induced by neutrinos in the 1 GeV energy regime. Besides the dominant Delta pole contribution, it takes into account the effect of background terms required…

Nuclear Theory · Physics 2017-08-23 M. Valverde , J. E. Amaro , E. Hernandez , J. Nieves , M. J. Vicente Vacas

We compute the density dependence of in-medium pion properties, such as mass, wave function renormalization, and decay constant in the correlation function approach, and how they change under the influence of isospin-asymmetric nuclear…

Nuclear Theory · Physics 2025-07-03 Kihong Kwon , Yamato Suda , Stephan Hübsch , Daisuke Jido

We extend hadronic models for rho-meson propagation in cold nuclear matter via coupling to in-medium pions to include finite three-momentum. Special care is taken to preserve gauge invariance. Consequences for photoabsorption on the proton…

Nuclear Theory · Physics 2009-10-31 M. Urban , M. Buballa , R. Rapp , J. Wambach