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Extensive dynamical $N/D$ calculations are made in the study of $S_{11}$ channel low energy $\pi$N scatterings, based on various phenomenological model inputs of left cuts at tree level. The subtleties of the singular behavior of the…

Nuclear Theory · Physics 2022-04-25 Qu-Zhi Li , Yao Ma , Wen-Qi Niu , Yu-Fei Wang , Han-Qing Zheng

A non-perturbative method which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe meson-meson interactions up to \sqrt{s}\lesssim 1.2 GeV, extending in this way the range of applicability…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Oller , F. Guerrero , E. Oset , J. R. Pelaez

The leading non-Coulombic electromagnetic contributions to pi pi s-wave scattering lengths are computed in Chiral Perturbation Theory. It is shown that these corrections are zeroth order in the chiral expansion and associated with…

Nuclear Theory · Physics 2008-11-26 K. Maltman , C. E. Wolfe

Various aspects of the application of Effective Field Theory (EFT) to the Nucleon-Nucleon (NN) interaction are considered. We look for contributions beyond One Pion Exchange which are predicted by Chiral Symmetry. Using the formalism of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson

We analyze quantization of noncommutative chiral electrodynamics in the enveloping algebra formalism in linear order in noncommutativity parameter $\theta$. Calculations show that divergences exist and cannot be removed by ordinary…

High Energy Physics - Theory · Physics 2011-03-23 M. Buric , D. Latas , V. Radovanovic , J. Trampetic

This study presents a tree-level calculation of the scattering amplitude for the $lp\to lp\gamma$ (with a hard photon) process within the framework of Chiral Perturbation Theory. Our calculations, based on the $O(p^2)$ and $O(p^3)$…

High Energy Physics - Phenomenology · Physics 2026-02-13 Xu Wang , Kai-Ge Kang , Zhiguang Xiao , Han-Qing Zheng

We present a determination of nucleon-nucleon scattering phase shifts for l >= 0. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For l > 0, this is the…

High Energy Physics - Lattice · Physics 2016-12-28 Evan Berkowitz , Thorsten Kurth , Amy Nicholson , Balint Joo , Enrico Rinaldi , Mark Strother , Pavlos M. Vranas , Andre Walker-Loud

The renormalization of the NN interaction with the Chiral Two Pion Exchange Potential computed using relativistic baryon chiral perturbation theory is considered. The short distance singularity reduces the number of counter-terms to about a…

Nuclear Theory · Physics 2008-11-26 R. Higa , M. Pavon Valderrama , E. Ruiz Arriola

The rigorous on-shell $T$-matrices for $NN$ scattering in the coupled channels $^3S_1$$-$$^3D_1$ are briefly presented in the context of EFT($\not\pi$) with the contact potentials truncated at order $\Delta=4$. The nonperturbative features…

Nuclear Theory · Physics 2009-02-19 J. -F. Yang

We consider pion-nucleon scattering in heavy-baryon chiral perturbation theory to third order. All electromagnetic corrections appearing to this order are included. We thus have a consistent description of strong and electromagnetic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nadia Fettes , Ulf-G. Meißner

We present a nonperturbative renormalization group solution of the Gell-Mann--Levy $\sigma$-model which was originally proposed as a phenomenological description of the dynamics of nucleons and mesons. In our version of the model the…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. S. Johnson , J. A. McNeil , J. R. Shepard

Interactions of noncommutative waves and solitons in 2+1 dimensions can be analyzed exactly for a supersymmetric and integrable U(n) chiral model extending the Ward model. Using the Moyal-deformed dressing method in an antichiral…

High Energy Physics - Theory · Physics 2008-11-26 Christian Gutschwager , Tatiana A. Ivanova , Olaf Lechtenfeld

We calculate the impact of the complete set of two-pion exchange contributions at chiral order four (also known as next-to-next-to-next-to-leading order, N3LO) on peripheral partial waves of nucleon-nucleon scattering. Our calculations are…

Nuclear Theory · Physics 2009-11-07 D. R. Entem , R. Machleidt

Chiral lagrangians provide a model independent description of the strongly interacting symmetry breaking sector. In this work it is first reviewed the LHC sensitivity to the chiral parameters (in the hardest case of non-resonant low-energy…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. R. Pelaez

Using the non-perturbative renormalization technique, we calculate the renormalization factors for quark bilinear operators made of overlap fermions on the lattice. The background gauge field is generated by the JLQCD and TWQCD…

High Energy Physics - Lattice · Physics 2010-04-06 J. Noaki , T. W. Chiu , H. Fukaya , S. Hashimoto , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada

Recently, a relativistic chiral nucleon-nucleon interaction is formulated up to leading order which provides a good description of the phase shifts of $J\leq1$ partial waves [Chin. Phys. C 42 (2018) 014103]. Nevertheless, a separable…

Nuclear Theory · Physics 2021-06-09 Xiu-Lei Ren , Chun-Xuan Wang , Kai-Wen Li , Li-Sheng Geng , Jie Meng

We calculate the s-wave strong interaction $\Lambda$$\pi$ phase shift at the $\Xi$ mass taking into account contributions from the ${{\frac{1}{2}}}^{-}$ and ${{\frac{3}{2}}}^{-}$ $\Sigma$ resonances. We find the S-wave phase shift to be…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alakabha Datta , Sandip Pakvasa

We calculate the nonperturbative two-pion exchange (TPE) contributions to the $NN$ interaction in covariant baryon chiral perturbation theory. We study how the nonperturbative resummation affects the $NN$ phase shifts for partial waves with…

Nuclear Theory · Physics 2022-02-02 Chun-Xuan Wang , Jun-Xu Lu , Yang Xiao , Li-Sheng Geng

The uncoupled $P$-wave channels of nucleon-nucleon scattering are studied in an effective field theory (EFT) including a perturbative dibaryon field and perturbative pions. Good agreement between EFT results and the Nijmegen partial wave…

Nuclear Theory · Physics 2022-03-02 J. B. Habashi

We present a study of two-nucleon scattering in chiral effective field theory with a finite cutoff to next-to-leading order in the chiral expansion. In the proposed scheme, the contributions of the lowest-order interaction to the scattering…

Nuclear Theory · Physics 2022-02-23 A. M. Gasparyan , E. Epelbaum