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Related papers: Pion-nucleon sigma term $\sigma_{\pi N}$ and deepl…

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We present a light-front determination of the pionic contribution to the nucleon self-energy, $\Sigma_\pi$, to second-order in pion-baryon coupling constants that allows the pion-nucleon vertex function to be treated in a model-independent…

Nuclear Theory · Physics 2013-05-30 Mary Alberg , Gerald A. Miller

We have studied the residual interaction effects theoretically on the deeply bound pionic states in Pb and Sn isotopes. We need to evaluate the residual interaction effects carefully in order to deduce the nuclear medium effects for pion…

Nuclear Theory · Physics 2009-11-11 N. Nose-Togawa , H. Nagahiro , S. Hirenzaki , K. Kume

A new sum rule determines the nucleon sigma term by the \pi N elastic scattering threshold parameters alone. This "threshold" value of \sigma(2\mu^2) provides an independent check of existing values obtained from global dispersive analyses,…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. G. Olsson

We present an analysis of the pion-nucleon $\sigma$-term, $\sigma_{\pi N}$, using six ensembles with 2+1+1-flavor highly improved staggered quark action generated by the MILC collaboration. The most serious systematic effect in lattice…

High Energy Physics - Lattice · Physics 2021-12-17 Rajan Gupta , Sungwoo Park , Martin Hoferichter , Emanuele Mereghetti , Boram Yoon , Tanmoy Bhattacharya

We study theoretically the formation spectra of deeply bound pionic atoms expected to be observed by experiments with high energy resolution at RIBF/RIKEN, and we discuss in detail the possibilities to extract new information on the pion…

We consider sigma-terms in $\pi\pi$, $\pi N$ and $K N$ scattering. While the state of the art in $\pi\pi$ is in principle crystal clear, the kaon-nucleon case is largely unexplored. The pion-nucleon system is in-between. We propose a list…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Gasser , M. E. Sainio

The pion-nucleon amplitude is considered in the vicinity of the elastic scattering threshold within a relativistic dynamical model dressing the pi N N and pi N Delta vertices self-consistently with an infinite number of meson loops. The…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk

We apply the perturbative chiral quark model (PCQM) at one loop to analyse meson-baryon sigma-terms. Analytic expressions for these quantities are obtained in terms of fundamental parameters of low-energy pion-nucleon physics (weak pion…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. E. Lyubovitskij , Th. Gutsche , Amand Faessler , E. G. Drukarev

We present and discuss a systematic calculation, based on two-loop chiral perturbation theory, of the pion-nuclear s-wave optical potential. A proper treatment of the explicit energy dependence of the off-shell pion self-energy together…

Nuclear Theory · Physics 2009-11-07 E. E. Kolomeitsev , N. Kaiser , W. Weise

The binding energies of the deeply bound 1s and 2p states in pionic atoms of $^{207}$Pb, recently established experimentally in the $^{208}$Pb(d,$^3$He) reaction, have been used by several groups to derive the pion effective mass in nuclear…

Nuclear Theory · Physics 2009-10-31 E. Friedman , A. Gal

We study the $(\gamma,p)$ reaction on $^{208}Pb$ leading to $^{207}Pb$ with a bound pion attached to it in the lowest 1s or 2p pionic levels. The reaction can be made recoilless to optimize the production cross section but we must choose a…

Nuclear Theory · Physics 2009-11-07 S. Hirenzaki , E. Oset

We use a configuration space chiral model in order to evaluate nucleon and delta sigma-terms. Analytic expressions are consistent with chiral counting rules and give rise to expected non-analytic terms in the chiral limit. We obtain the…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. P. Cavalcante , M. R. Robilotta , J. Sa Borges , D. de O. Santos , G. R. S. Zarnauskas

The pion nucleon sigma-term is extracted on the basis of the soliton picture of the nucleon from the mass spectrum of usual and the recently observed exotic baryons, assuming that they have positive parity. The value found is consistent…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Schweitzer

We calculate shifts and width of 1s and 2p states of pions bound to heavy nuclei, using an optical potential with its s-wave interaction part based on chiral symmetry. This potential is constructed systematically in two-loop approximation…

Nuclear Theory · Physics 2009-11-07 E. E. Kolomeitsev , N. Kaiser , W. Weise

We have reanalyzed the $\pi ^{\pm} p$ scattering data at low energy in the Coulomb-nuclear interference region as measured by the CHAOS group at TRIUMF with the aim to determine the pion-nucleon $\sigma$ term. The resulting value…

Nuclear Theory · Physics 2015-06-12 J. Stahov , H. Clement , G. J. Wagner

A brief review of the pion-nucleon sigma-term is given. Aspects of both chiral perturbation theory and phenomenology are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Sainio

Deeply bound 1s states of $\pi^-$ in $^{115,119,123}$Sn were preferentially observed using the Sn($d$,$^3$He) pion-transfer reaction under the recoil-free condition. The 1s binding energies and widths were precisely determined, and were…

Strong interaction level shifts and widths in $\Sigma^-$ atoms are analyzed by using a $\Sigma$ nucleus optical potential constructed within the relativistic mean field approach. The analysis leads to potentials with a repulsive real part…

Nuclear Theory · Physics 2009-10-28 J. Mares , E. Friedman , A. Gal , B. K. Jennings

We calculate the variation of the chiral condensate in medium with respect to the quark chemical potential and evaluate the pion-nucleon sigma term via the Hellmann-Feynman theorem. The variation of chiral condensate in medium are obtained…

Nuclear Theory · Physics 2020-03-27 Jing-Hui Huang , Ting-Ting Sun , Huan Chen

We investigate the possibility of measuring the pion dispersion relation in nuclear matter through the anomalous coupling in the reaction \gamma - \gamma' \pi_0. It is shown that this reaction permits the study of pionic modes for…

Nuclear Theory · Physics 2008-11-26 Alexander Volya , Kevin Haglin , Scott Pratt , Vladimir Dmitriev