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Related papers: Electromagnetic Corrections to the One-Pion-Exchan…

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We present realistic models of pion-exchange three-nucleon interactions obtained by fitting the energies of all the 17 bound or narrow states of 3 <= A <= 8 nucleons, calculated with less than 2% error using the Green's function Monte Carlo…

Nuclear Theory · Physics 2008-11-26 Steven C. Pieper , V. R. Pandharipande , R. B. Wiringa , J. Carlson

This work elaborates on former remarks of ours regarding two sets of predictions for the observables of the charge-exchange reaction $\pi^- p \to \pi^0 n$ at low energy (pion laboratory kinetic energy $T \leq 100$ MeV). The first prediction…

Nuclear Theory · Physics 2020-01-07 Evangelos Matsinos , Günther Rasche

We study the nucleon-nucleon interaction up to next-to-next-to-leading order using time-ordered perturbation theory in the framework of manifestly Lorentz-invariant chiral effective field theory. We present the two-pion exchange…

Nuclear Theory · Physics 2022-09-12 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

Based upon the Bonn meson-exchange-model for the nucleon-nucleon ($NN$) interaction, we calculate the charge-independence breaking (CIB) of the $NN$ interaction due to pion-mass splitting. Besides the one-pion-exchange (OPE), we take into…

Nuclear Theory · Physics 2008-11-26 G. Q. Li , R. Machleidt

The cross section for $\gamma\gamma\to\pi^0\pi^0$ and the pion polarizabilities are computed, within generalized chiral perturbation theory, in the full one loop approximation, {\it i.e.} up to and including order $O({p^5})$. The result…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern

We calculate the one-quark-loop amplitude for the low energy $\gamma\gamma\to\pi\pi$ collision in the context of the Nambu and Jona-Lasinio model with scalar and pseudoscalar four quark couplings to all orders in the external momenta. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Bajc , A. H. Blin , B. Hiller , M. C. Nemes , A. A. Osipov , M. Rosina

The impact of pionic correlations and meson--exchange currents in determining the (vector) response functions for electroweak quasielastic lepton scattering from nuclei is discussed. The approach taken builds on previous work where the…

Nuclear Theory · Physics 2009-10-22 W. M. Alberico , M. B. Barbaro , A. De Pace , T. W. Donnelly , A. Molinari

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

We present a new rearrangement of short-range interactions in the $^1S_0$ nucleon-nucleon channel within Chiral Effective Field Theory. This is intended to reproduce the amplitude zero (scattering momentum $\simeq$ 340 MeV) at leading…

Nuclear Theory · Physics 2018-02-14 M. Sánchez Sánchez , C. -J. Yang , Bingwei Long , U. van Kolck

We consider the rare decay $\eta\to\pi^0\pi^0\gamma\gamma$ and calculate the non-resonant contribution to the amplitude to one loop in Chiral Perturbation Theory. We display our result as both a diphoton energy spectrum and a partial decay…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Bellucci , G. Isidori

We complete the recalculation of the available two-loop expressions for the reaction \gamma\gamma->\pi\pi in the framework of chiral perturbation theory. Here, we present the results for charged pions. The cross section and the values of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

The random phase approximation (RPA) systematically overestimates the magnitude of the correlation energy and generally underestimates cohesive energies. This originates in part from the complete lack of exchange terms, which would…

Materials Science · Physics 2018-12-12 Felix Hummel , Andreas Grüneis , Georg Kresse , Paul Ziesche

The complete one-loop QED initial state, final state and initial--final state interference corrections to the process e+e- -> pi+pi- are presented. Analytic formulae are given for the virtual and for the real photon corrections. The total…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Hoefer , J. Gluza , F. Jegerlehner

We use a recently improved density-matrix expansion to calculate the nuclear energy density functional in the framework of in-medium chiral perturbation theory. Our calculation treats systematically the effects from $1\pi$-exchange,…

Nuclear Theory · Physics 2015-05-14 N. Kaiser , W. Weise

We analyze the renormalization of the nucleon--nucleon interaction at low energies in coordinate space for both one and two pion exchange chiral potentials. The singularity structure of the long range potential and the requirement of…

Nuclear Theory · Physics 2007-05-23 M. Pavon Valderrama , E. Ruiz Arriola

We extend the analysis of elastic pion-nucleon scattering up to $O(p^4)$ level using extended-on-mass-shell subtraction scheme within the framework of covariant baryon chiral perturbation theory. Numerical fits to partial wave phase shift…

High Energy Physics - Phenomenology · Physics 2013-04-23 Yun-Hua Chen , De-Liang Yao , H. Q. Zheng

Pion-meson-exchange nucleon-nucleon potentials are derived for two nucleons in the intermediate states. The mesons we include are (i) pseudoscalar mesons: $\pi, \eta, \eta'$; (ii) vector mesons: $\rho, \omega, \phi$; (iii) scalar mesons:…

Nuclear Theory · Physics 2008-11-26 Th. A. Rijken , V. G. J. Stoks

In this work, the self energies of $\pi^0$ and $\pi^{\pm}$ up to one loop order have been calculated in the limit of weak external magnetic field. The effective masses are explicitly dependent on the magnetic field which are modified…

Nuclear Theory · Physics 2018-07-02 S. P. Adhya , M. Mandal , S. Biswas , P. K. Roy

A phenomenological Dyson-Schwinger equation approach to QCD, formalised in terms of a QCD based model field theory, is used to calculate the electromagnetic charge radius of the pion. The contributions from the quark core and pion loop, as…

High Energy Physics - Phenomenology · Physics 2010-03-04 Reinhard Alkofer , Axel Bender , Craig D. Roberts

We study the production amplitude for the reaction $NN\to NN\pi$ up to next-to-leading order in chiral perturbation theory. We show that the irreducible chiral loops at this order exactly cancel those terms that arise from the off-shell…

Nuclear Theory · Physics 2008-11-26 V. Lensky , J. Haidenbauer , C. Hanhart , V. Baru , A. Kudryavtsev , U. -G. Meißner