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We evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice…

High Energy Physics - Lattice · Physics 2019-01-01 Y. Namekawa , T. Yamazaki

We calculate the imaginary parts of the isoscalar scalar and isovector electromagnetic form factors of the nucleon up to two-loop order in chiral perturbation theory. Particular attention is paid on the correct behavior of Im $\sigma_N(t)$…

Nuclear Theory · Physics 2009-11-10 N. Kaiser

We apply the solution to the recursion relation for the double-off-shell quark current to the problem of computing one loop amplitudes with an arbitrary number of gluons. We are able to compute amplitudes for photon-gluon scattering,…

High Energy Physics - Phenomenology · Physics 2009-10-22 Gregory Mahlon

The renormalization of the Schr"odinger equation with regular One Boson Exchange and singular chiral potentials including One and Two-Pion exchanges is analyzed within the context of NN scattering.

Nuclear Theory · Physics 2008-11-26 E. Ruiz Arriola , A. Calle Cordon , M. Pavon Valderrama

Using the two-loop approximation of chiral perturbation theory, we calculate the momentum and density dependent isovector nuclear spin-orbit strength $V_{ls}(p,k_f)$. This quantity is derived from the spin-dependent part of the interaction…

Nuclear Theory · Physics 2009-11-10 N. Kaiser

The presence of two photon exchange in $ep$ elastic scattering and in the crossed processes ($\bar p +p\leftrightarrow \ell^+ +\ell^-$, $\ell=e$ or $\mu$) is discussed in terms of three complex amplitudes which are functions of two…

Nuclear Theory · Physics 2007-05-23 E. Tomasi-Gustafsson

The scattering amplitude of the pion-nucleon elastic scattering is calculated by the lowest-order approximation of the perturbative expansion with the non-perturbative term. The self-energy of nucleon is determined so as to give the…

Nuclear Theory · Physics 2022-04-22 Susumu Kinpara

The deuteron-proton elastic scattering is studied in the multiple scattering expansion formalism. The contributions of the one-nucleon-exchange, single- and double scattering are taken into account. The Love and Franey parameterization of…

Nuclear Theory · Physics 2009-11-05 N. B. Ladygina

We consider constraints on the isoscalar S-wave pi-N scattering length a+ from pi-deuteron scattering, to third order in small momenta and pion masses in chiral perturbation theory. To this order, the pi-deuteron scattering length is…

Nuclear Theory · Physics 2008-11-26 S. R. Beane , V. Bernard , T. -S. H. Lee , Ulf-G. Meißner

We examine elastic Compton scattering from the deuteron for photon energies ranging from zero to 100 MeV, using state-of-the-art deuteron wave functions and NN-potentials. Nucleon-nucleon rescattering between emission and absorption of the…

Nuclear Theory · Physics 2014-11-18 Robert P. Hildebrandt , Harald W. Griesshammer , Thomas R. Hemmert

A global nucleon-nucleus optical potential for elastic scattering has been produced which replicates experimental data to high accuracy and compares well with other recently formulated potentials. The calculation that has been developed…

Nuclear Theory · Physics 2014-03-06 S. P. Weppner , R. B. Penney , G. W. Diffendale , G. Vittorini

Elastic cross sections are calculated and compared with the data on $\pi^{\pm}$ scattering on $^{28}$Si, $^{40}$Ca, $^{58}$Ni, $^{208}$Pb nuclei in the energy range from 130 to 290 MeV. To this end, both the folding optical potential (OP)…

Nuclear Theory · Physics 2021-04-02 V. K. Lukyanov , E. V. Zemlyanaya , K. V. Lukyanov , I. Abdul-Magead

Theoretical uncertainties of various types are discussed for the nucleon-deuteron elastic scattering observables at the incoming nucleon laboratory energies up to 200 MeV. We are especially interested in the statistical errors arising from…

Nuclear Theory · Physics 2018-07-11 R. Skibinski , Yu. Volkotrub , J. Golak , K. Topolnicki , H. Witala

Current status of the two-boson exchange contributions to elastic electron-proton scattering, both for parity conserving and parity-violating, is briefly reviewed. How the discrepancy in the extraction of elastic nucleon form factors…

Nuclear Theory · Physics 2015-05-30 Shin Nan Yang

The transverse-target single-spin asymmetry for inclusive deep-inelastic scattering with effectively unpolarized electron and positron beams off a transversely polarized hydrogen target was measured, with the goal of searching for a…

High Energy Physics - Experiment · Physics 2009-12-22 The HERMES Collaboration , A. Airapetian

The integrand-level methods for the reduction of scattering amplitudes are well-established techniques, which have already proven their effectiveness in several applications at one-loop. In addition to the automation and refinement of tools…

High Energy Physics - Phenomenology · Physics 2012-10-05 P. Mastrolia , E. Mirabella , G. Ossola , T. Peraro , H. van Deurzen

We describe systems of two and three nucleons trapped in a harmonic-oscillator potential with interactions from the pionless effective field theory up to next-to-leading order (NLO). We construct the two-nucleon interaction using…

Nuclear Theory · Physics 2015-06-03 J. Rotureau , I. Stetcu , B. R. Barrett , U. van Kolck

The splitting between the charge-longitudinal and spin-transverse responses is explained in a model whose inputs are the effective interactions in the particle-hole channels in the frame of the first order boson loop expansion. It is shown…

Nuclear Theory · Physics 2009-10-30 R. Cenni , F. Conte , P. Saracco

The pieces of the hypernuclear strangeness violating potential due to the pseudoscalar meson exchanges are derived using methods which were successfully applied to hyperon nonleptonic decays. The estimates are tested by comparison with…

High Energy Physics - Phenomenology · Physics 2016-08-15 Cesar Barbero , Franjo Krmpotić , Dubravko Horvat , Zoran Narančić , Dubravko Tadić

We present a relativistic procedure for the chiral expansion of the two-pion exchange component of the $NN$ potential, which emphasizes the role of intermediate $\pi N$ subamplitudes. The relationship between power counting in $\pi N$ and…

Nuclear Theory · Physics 2014-11-18 R. Higa , M. R. Robilotta