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We use Bayesian statistics to infer the breakdown scale of pionless effective field theory in its standard power counting and with renormalization of observables carried out using the power-divergence subtraction scheme and cutoff…

Nuclear Theory · Physics 2024-09-13 Andreas Ekström , Lucas Platter

We compute the neutron-neutron relative-energy distribution of the triton following the hard knockout of the proton in pionless effective field theory. This distribution can be used to study universality as well as to obtain information on…

Nuclear Theory · Physics 2025-05-28 Tanja Kirchner , Matthias Göbel , Hans-Werner Hammer

We discuss the current status of chiral effective field theory in the three-nucleon sector and present selected results for nucleon-deuteron scattering observables based on semilocal momentum-space-regularized chiral two-nucleon potentials…

We propose a low energy effective field theory of QCD at the scale of pion mass for the $N_B=2$ sector, $N_B$ being the baryon number, which contains two dibaryon fields in addition to the nucleons and pions. It has a well defined counting,…

Nuclear Theory · Physics 2008-11-26 Joan Soto , Jaume Tarrus

We investigate the sensitivity of the three-nucleon system to changes in the neutron-neutron scattering length to next-to-leading order in the pionless effective field theory, focusing on the the triton-3He binding energy difference and…

Nuclear Theory · Physics 2015-06-19 H. W. Hammer , Sebastian König

We use an effective field theory (EFT) which contains only short-range interactions to study the dependence of a variety of three-nucleon observables on the pion mass. The pion-mass dependence of input quantities in our ``pionless'' EFT is…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , D. R. Phillips , L. Platter

The origin of the breakdown scale in an effective field theory treatment of nuclear forces is investigated. Different organizational schemes used in the nonperturbative calculation of nucleon-nucleon scattering seem to break down for…

Nuclear Theory · Physics 2007-05-23 James V. Steele

Deuteron Compton scattering is calculated to $\mathcal{O}(Q^2)$ in pionless effective field theory using a dibaryon approach. The vector amplitude, which was not included in the previous pionless calculations, contributes to the cross…

Nuclear Theory · Physics 2009-11-10 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li

The cross section for the thermal neutron capture by the deuteron is calculated with pionless Effective Field Theory(EFT). No new Three-Nucleon forces are needed up to next-to-next-to-leading order in order to achieve cut-off independent…

Nuclear Theory · Physics 2009-11-11 H. Sadeghi , S. Bayegan , Harald W. Griesshammer

A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: i) predictions with next-to-leading-order (non-perturbatively) accuracy for the 4-helium…

Nuclear Theory · Physics 2015-06-03 Johannes Kirscher

We calculate the nucleon-nucleon scattering amplitudes in the 1S0 and 3S1-3D1 channels at next-to-next to leading order starting from a recently proposed non-relativistic chiral effective theory, which includes dibaryon fields as…

Nuclear Theory · Physics 2010-04-06 Joan Soto , Jaume Tarrus

This work implements pionless effective field theory with the two-nucleon system expanded around the unitarity limit at second order perturbation theory. The expansion is found to converge well. All Coulomb effects are treated in…

Nuclear Theory · Physics 2017-05-15 Sebastian König

We discuss the effective field theory approach to nuclear phenomena with typical momentum below the pion mass. We particularly focus on the three body problem. In the $J=3/2$ channel,effective field theory is extremelly predictive and we…

Nuclear Theory · Physics 2007-05-23 P. F. Bedaque

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

We study breakup of the deuteron induced by neutrinos in the neutral $\nu d\to \nu np$, $\bar{\nu} d\to \bar{\nu} np$ and the charged $\bar{\nu} d\to e^+ n n$, $\nu d\to e^- pp$ processes. Pionless effective field theory with dibaryon…

Nuclear Theory · Physics 2020-06-24 Shung-Ichi Ando , Young-Ho Song , Chang Ho Hyun

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

High precision cross-section data of the deuteron-proton breakup reaction at 130 MeV are presented for 72 kinematically complete configurations. The data cover a large region of the available phase space, divided into a systematic grid of…

An extensive study of three-nucleon force effects in the entire phase space of the nucleon-deuteron breakup process, for energies from above the deuteron breakup threshold up to 200 MeV, has been performed. 3N Faddeev equations have been…

Nuclear Theory · Physics 2009-11-07 J. Kuros-Zolnierczuk , H. Witala , J. Golak , H. Kamada , A. Nogga , R. Skibinski , W. Glockle

We point out a redundancy in the operator structure of the pionless effective field theory which dramatically simplifies computations. This redundancy is best exploited by using dibaryon fields as fundamental degrees of freedom. In turn,…

Nuclear Theory · Physics 2014-11-18 Silas R. Beane , Martin J. Savage

We show that processes involving pions that remain very near their mass-shell can be reliably computed in the pionless effective field theory, with the pion integrated in as a heavy field. As an application, we compute the pion-deuteron…

Nuclear Theory · Physics 2009-11-07 Silas R. Beane , Martin J. Savage
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