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We present a formulation of third-order density-functional perturbation theory which is manifestly invariant with respect to unitary transfomations within the occupied-states manifold and is particularly suitable for a practical…

Condensed Matter · Physics 2009-10-22 Alberto Debernardi , Stefano Baroni

The application of effective field theories to hadronic parity violation in two- and three-nucleon systems is described. These methods provide several important advantages over the traditionally used meson-exchange models, e.g., model…

Nuclear Theory · Physics 2013-03-01 M. R. Schindler

For a system of fermions with a three-body contact interaction the second-order contributions to the energy per particle $\bar E(k_f)$ are calculated exactly. The three-particle scattering amplitude in the medium is derived in closed…

Nuclear Theory · Physics 2015-06-04 N. Kaiser

Recently we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

We outline the modified formulation of baryon chiral effective field theory for nucleon-nucleon scattering and discuss the issue of a possible power counting violation by the nucleon mass. We also present the results for the quark mass…

Nuclear Theory · Physics 2013-01-28 E. Epelbaum , J. Gegelia

We extend our approach based on the second order perturbation theory in the Coulomb interaction recently developed for quantum dots coupled to superconducting leads to the superconducting double quantum dot setups. Using our perturbative…

Mesoscale and Nanoscale Physics · Physics 2020-07-27 Vladislav Pokorný , Martin Žonda , Georgios Loukeris , Tomáš Novotný

Low-energy theorems (LETs) for effective-range parameters in nucleon-nucleon scattering encode properties of the long-range part of the nuclear force. We compute LETs for S-wave neutron-proton scattering using chiral effective field theory…

Nuclear Theory · Physics 2024-07-03 Oliver Thim

We report on results of the effective theory method applied to neutron-deuteron scattering. We extend previous results in the $J=3/2$ channel to non-zero energies and find very good agreement with experiment without any parameter fitting.

Nuclear Theory · Physics 2010-04-06 P. F. Bedaque , H. -W. Hammer , U. van Kolck

We calculate the longitudinal structure function of the deuteron up through next-to-next-to-leading order in the framework of pionless effective field theory. We use these results to compute the two-photon polarizability contribution to…

Nuclear Theory · Physics 2020-09-18 Samuel B. Emmons , Chen Ji , Lucas Platter

We calculate the complete $T$ matrices of the elastic nucleon-nucleon scattering up to third order in SU(3) heavy baryon chiral perturbation theory. The phase shifts with orbital angular momentum $L\geq 2$ and the mixing angles with $J\geq…

Nuclear Theory · Physics 2022-01-03 Bo-Lin Huang , Jian-Bo Cheng , Shi-Lin Zhu

A model is developed for the hadronic and electromagnetic interaction in the two-nucleon system above pion threshold in the framework of meson, nucleon and $\Delta$ degrees of freedom. It is based on time-ordered perturbation theory and…

Nuclear Theory · Physics 2007-05-23 M. Schwamb , H. Arenhoevel

We have developed a perturbative method to model the resonant ionization of atomic systems in fluctuating laser fields. The perturbative method is based on an expansion in terms of the multitime cumulants, a suitable combination of moments…

Atomic Physics · Physics 2020-11-25 Tejaswi Katravulapally , L. A. A. Nikolopoulos

We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner , Sven Steininger

Electron-phonon (e-ph) interactions are usually treated in the lowest order of perturbation theory. Here we derive next-to-leading order e-ph interactions, and compute from first principles the associated two-phonon e-ph scattering rates.…

Mesoscale and Nanoscale Physics · Physics 2020-10-06 Nien-En Lee , Jin-Jian Zhou , Hsiao-Yi Chen , Marco Bernardi

Third order chiral perturbation theory accounts for the $\pi-N$ scattering phase shift data out to energies slightly below the position of the $\Delta$ resonance. The low energy constants are not accurately determined. Explicit inclusion of…

Nuclear Theory · Physics 2017-08-23 P. J. Ellis

We highlight some of the recent advances in the application of chiral effective field theory (chiral EFT) with baryons to the $\pi N$ scattering process. We recall some problems that cast doubt on the applicability of chiral EFT to $\pi N$…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

We perform Bayesian model calibration of two-nucleon ($NN$) low-energy constants (LECs) appearing in an $NN$ interaction based on pionless effective field theory (EFT). The calibration is carried out for potentials constructed using naive…

Nuclear Theory · Physics 2024-08-06 J. M. Bub , M. Piarulli , R. J. Furnstahl , S. Pastore , D. R. Phillips

In the Unitarity Limit, the NN S-wave binding energies are zero, the scattering lengths infinite, Physics is universal, i.e. insensitive to details of the interactions, and observables display richer symmetries, namely invariance under both…

Nuclear Theory · Physics 2025-05-19 Harald W. Griesshammer

Peripheral nucleon-nucleon scattering is analysed in the framework of an effective field theory. Distorted-wave methods are used to remove the effects of one-pion exchange. Two-pion exchange and recoil corrections to one-pion exchange are…

Nuclear Theory · Physics 2009-11-10 Michael C. Birse , Judith A. McGovern