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Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of $m_\pi\sim 450~{\rm MeV}$ in three spatial volumes using $n_f=2+1$ flavors of light quarks. At the quark masses employed in this work, the deuteron…

High Energy Physics - Lattice · Physics 2020-07-31 Kostas Orginos , Assumpta Parreno , Martin J. Savage , Silas R. Beane , Emmanuel Chang , William Detmold

Interactions from chiral effective field theory have been successfully employed in a broad range of \textit{ab initio} calculations of nuclei and nuclear matter, but it has been observed that most results of few- and many-body calculations…

Nuclear Theory · Physics 2018-08-30 I. Tews , L. Huth , A. Schwenk

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

Nuclear Theory · Physics 2007-05-23 F. Gabbiani

An analytic expression for the ${}^1S_0$ phase shifts in nucleon-nucleon scattering is derived in the context of the Schr\"odinger equation in configuration space with a short distance cutoff and with a consistent power counting scheme…

Nuclear Theory · Physics 2009-10-31 Thomas D. Cohen , James M. Hansen

We study neutral- and charged-current (anti)neutrino-induced dissociation of the deuteron at energies from threshold up to 150 MeV by employing potentials, as well as one- and two-body currents, derived in chiral effective field theory…

Nuclear Theory · Physics 2023-04-25 Bijaya Acharya , Sonia Bacca

We take a new look at the neutron radiative capture by a deuteron at thermal energy with the pionless effective field theory (EFT($\pi\!\!\!/$)) approach. We present in detail the calculation of $nd\rightarrow$ $^3H\gamma$ amplitudes for…

Nuclear Theory · Physics 2014-06-26 M. Moeini Arani , H. Nematollahi , N. Mahboubi , S. Bayegan

We explore the effects on nuclear bulk properties of using regularization cutoffs larger than the nucleon mass within the chiral effective field theory with a power counting that ensures order-by-order renormalization in the two-nucleon…

Nuclear Theory · Physics 2026-04-27 M. Sánchez Sánchez , Dao Duy Duc , L. Bonneau

We report a next-to-leading-order (NLO) chiral perturbation theory calculation of the neutron-proton scattering cross section in the ${}^1S_0$ channel using a cut-off regularization. The inclusion of two-pion exchanges in the irreducible…

Nuclear Theory · Physics 2014-11-18 C. H. Hyun , T. -S. Park , D. -P. Min

Compared in this work are a few sets of results, obtained from the pion-nucleon ($\pi N$) data at low energy (pion laboratory kinetic energy up to $100$ MeV) on the basis of the modelling of the $s$- and $p$-wave $K$-matrix elements (or of…

Nuclear Theory · Physics 2022-06-07 Evangelos Matsinos

We provide a systematic assessment of the order-$\alpha^5$ nuclear contributions to the Lamb shift of muonic deuterium, including the accompanying radiative corrections due to vacuum polarization, up to next-to-next-to-next-to-leading order…

Nuclear Theory · Physics 2022-10-31 Vadim Lensky , Franziska Hagelstein , Vladimir Pascalutsa

Nucleon-nucleon (NN) forces from chiral perturbation theory at next-to-leading (NLO) and next-to-next-to-leading order (NNLO) are applied to systems with two, three and four nucleons. At NNLO, we consider two versions of the chiral…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , A. Nogga , W. Gloeckle , H. Kamada , U. -G. Meissner , H. Witala

We investigate Nuclear Lattice Effective Field Theory for the two-body system for several lattice spacings at lowest order in the pionless as well as in the pionful theory. We discuss issues of regularizations and predictions for the…

Nuclear Theory · Physics 2015-06-26 Nico Klein , Dean Lee , Weitao Liu , Ulf-G. Meißner

Nuclear effective field theory organizes the calculation of observables as a power series in terms of the ratio of soft and hard momentum scales. The rigorous implementation of this idea requires a mixture of perturbative and…

Nuclear Theory · Physics 2025-12-16 Manuel Pavon Valderrama

We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to…

Nuclear Theory · Physics 2016-04-28 Sebastian König , Harald W. Grießhammer , H. -W. Hammer , U. van Kolck

We develop a framework for calculating nucleon-deuteron scattering using strict perturbation theory for treating subleading interactions in chiral effective field theory (ChEFT). Rather than using direct evaluations in the distorted-wave…

Nuclear Theory · Physics 2026-02-18 Lin Zuo , Wendi Chen , Dan-Yang Pang , Bingwei Long

Effective field theory (EFT) is generalized to investigate the rotational motion of triaxially deformed even-even nuclei. A Hamiltonian, called the triaxial rotor model (TRM), is obtained up to next-to-leading order (NLO) within the EFT…

Nuclear Theory · Physics 2017-11-22 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

The pion-nucleon coupling constants determine the strength of the long-range nuclear forces and play a fundamental part in our understanding of nuclear physics. While the charged- and neutral-pion couplings to protons and neutrons are…

Nuclear Theory · Physics 2021-03-10 P. Reinert , H. Krebs , E. Epelbaum

We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

We treat low-energy $^3$He-$\alpha$ elastic scattering in an Effective Field Theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to Next-to-Next-to-Leading Order (NNLO), developing a hierarchy…

Nuclear Theory · Physics 2022-07-06 Maheshwor Poudel , Daniel R. Phillips

We present the results of a third order calculation of the pion-nucleon scattering amplitude in a chiral effective field theory with pions, nucleons and delta resonances as explicit degrees of freedom. We work in a manifestly Lorentz…

High Energy Physics - Phenomenology · Physics 2016-05-25 De-Liang Yao , D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , J. Gegelia , H. Krebs , Ulf-G. Meißner