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Related papers: Higher derivative terms in the {\pi}{\Delta}N inte…

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We present a novel analysis of the $\pi N$ scattering amplitude in covariant baryon chiral perturbation theory up to ${\cal O}(p^3)$ within the extended-on-mass-shell renormalization scheme and including the $\Delta(1232)$ explicitly in the…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. M. Alarcón , J. Martin Camalich , J. A. Oller

The electromagnetic excitation of the $\Delta(1232)$-resonance plays an appreciable role in the Lamb shift and hyperfine structure of muonic and electronic hydrogen. Its effect appears at the subleading order $\mathcal{O}(\alpha^5)$,…

Nuclear Theory · Physics 2018-07-04 Franziska Hagelstein

We carry out an analysis of $\pi\pi$ scattering in the $IJ=00$, $11$ and $20$ channels in configuration space up to a maximal center-of-mass energy $\sqrt{s}=1.4$ GeV. We separate the interaction into two regions marked by an elementarity…

High Energy Physics - Phenomenology · Physics 2018-11-14 Jacobo Ruiz de Elvira , Enrique Ruiz Arriola

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

High Energy Physics - Theory · Physics 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

Using a leading-order semiclassical approximation, we calculate the third- and fourth-order virial coefficients of nonrelativistic spin-1/2 fermions in a harmonic trapping potential in arbitrary spatial dimensions, and as functions of…

Quantum Gases · Physics 2019-12-18 K. J. Morrell , C. E. Berger , J. E. Drut

We present perturbative oscillation probabilities for electron and muon channels including non-standard interaction (NSI) effects. The perturbation was performed in standard parameters $\Delta m^2_{21}/\Delta m^2_{31}$ and…

High Energy Physics - Phenomenology · Physics 2020-11-30 Mariano Esteves Chaves , Diego Rossi Gratieri , Orlando Luis Goulart Peres

We present a determination of the pion-nucleon sigma-term based on a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. Martin Camalich , J. M. Alarcon , J. A. Oller

In this paper we have studied the two-pion exchange three-nucleon potential $(2\pi E-3NP)$ using an approximate $SU(2) \times SU(2)$ chiral symmetry of the strong interaction. The off-shell pion-nucleon scattering amplitudes obtained from…

Nuclear Theory · Physics 2014-11-18 K. Kabir , T. K. Dutta , Muslema Pervin , L. M. Nath

A dynamical approach is developed to predict the $\pi N$ scattering amplitudes starting with the constituent quark models. The first step is to apply a variational method to solve the three-quark bound state problem. The resulting wave…

Nuclear Theory · Physics 2009-10-31 T. Yoshimoto , T. Sato , M. Arima , T. -S. H. Lee

The perturbative evaluation of the effective action can be expanded in powers of derivatives of the external field. We apply the renormalization group equation to the term in the effective action that is second order in the derivatives of…

High Energy Physics - Theory · Physics 2008-11-26 F. A. Chishtie , Junji Jia , D. G. C. McKeon

We discuss a number of old and new methods for computing $K\to\pi\pi$ amplitudes on the lattice. They all involve a non-perturbative determination of matching coefficients. We show how problems related to operator mixing can be greatly…

High Energy Physics - Lattice · Physics 2007-05-23 G. C. Rossi

Spectra of the second derivative operators corresponding to the special PT-symmetric point interactions are studied. The results are partly the completion of those obtained in [1]. The particular PT-symmetric point interactions causing…

Mathematical Physics · Physics 2009-06-02 Petr Siegl

The pi-N interaction is studied within a meson-exchange model and in a coupled-channels approach which includes the channels pi-N, eta-N, as well as three effective pi-pi-N channels namely rho-N, pi-Delta, and sigma-N. Starting out from an…

Nuclear Theory · Physics 2009-11-10 A. M. Gasparyan , J. Haidenbauer , C. Hanhart , J. Speth

We present a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This amplitude, valid up to $\mathcal{O}(p^3)$ in the chiral…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. M. Alarcon , J. Martin Camalich , J. A. Oller

Distorted-wave methods are used to remove the effects of one- and two-pion exchange up to order Q^3 from the empirical 1P1 phase shift. The one divergence that arises can be renormalised using an order-Q^2 counterterm which is provided by…

Nuclear Theory · Physics 2011-02-28 K. L. Ipson , K. Helmke , M. C. Birse

The $NN$ scattering near inelastic threshold is sensitive to the long-range diagonal interaction in the produced isobar channel. Earlier models included meson exchange potentials in the $NN$ sector and connecting that sector to isobar…

Nuclear Theory · Physics 2007-05-23 P. LaFrance , E. L. Lomon , M. Aw

We consider the nuclear effective field theory including pions in the two-nucleon sector in the S waves up to including the next-to-next-to-leading order (NNLO) terms according to the power counting suggested by the Wilsonian…

Nuclear Theory · Physics 2013-11-14 Koji Harada , Hirofumi Kubo , Tatsuya Sakaeda , Yuki Yamamoto

We extend the relativistic field theoretic finite-volume formalism to $N \pi \pi$ scattering states at maximal isospin, $I=5/2$. As in previous work using the relativistic field theory approach, we work to all orders in a generic low-energy…

High Energy Physics - Lattice · Physics 2025-10-07 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

We discuss various physics aspects of neutrino oscillation with non-standard interactions (NSI). We formulate a perturbative framework by taking \Delta m^2_{21} / \Delta m^2_{31}, s_{13}, and the NSI elements \epsilon_{\alpha \beta}…

High Energy Physics - Phenomenology · Physics 2009-03-27 Takashi Kikuchi , Hisakazu Minakata , Shoichi Uchinami

The cross-sections of the $\gamma p-\gamma' N'$, $\gamma p-\pi' N'$ and $\gamma p-\gamma'\pi' N'$ reactions are calculated in the framework of the field-theoretical one-particle ($\pi,\omega,\rho$-mesons, nucleon and $\Delta$-resonance)…

Nuclear Theory · Physics 2007-05-23 A. I. Machavariani , Amand Faessler