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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

We consider multi-particle contributions to nucleon two- and three-point functions from the perspective of chiral dynamics. Lattice nucleon interpolating operators, which have definite chiral transformation properties, can be mapped into…

High Energy Physics - Lattice · Physics 2015-05-27 Brian C. Tiburzi

We calculate the nuclear-structure correction to the hyperfine splitting in both electronic and muonic deuterium using interactions from chiral effective field theory. We explore the sensitivity to different parameterizations of the…

Nuclear Theory · Physics 2025-08-27 Jose Bonilla , Thomas R. Richardson , Sonia Bacca , Chen Ji , Lucas Platter

The electric dipole form factor (EDFF) of the nucleon stemming from the QCD theta term and from the quark color-electric dipole moments is calculated in chiral perturbation theory to sub-leading order. This is the lowest order in which the…

High Energy Physics - Phenomenology · Physics 2011-01-27 E. Mereghetti , J. de Vries , W. H. Hockings , C. M. Maekawa , U. van Kolck

We calculate the electromagnetic dipole transition cross sections for the $np \rightarrow d\gamma$ and $ d\gamma \rightarrow np$ reactions over a broad range of energies. We use the LENPIC nucleon-nucleon interaction obtained from chiral…

Nuclear Theory · Physics 2026-05-04 Mamoon A. Sharaf , Weijie Du , Andrey M. Shirokov

Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$ resonance is included, is used in order to examine the axial charged-current component of the weak interaction process at low neutrino energies. At leading chiral order…

Nuclear Theory · Physics 2019-03-13 Fred Myhrer

We sample the posterior probability distributions of the low-energy constants (LECs) in $\Delta$-full chiral effective field theory ($\chi$EFT) up to third order. We use eigenvector continuation for fast and accurate emulation of the…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

Predictive power in theoretical nuclear physics has been a major concern in the study of nuclear structure and reactions. The Effective Field Theory (EFT) based on chiral expansions provides a model independent hierarchy for many body…

Nuclear Theory · Physics 2017-04-05 E. Ruiz Arriola , J. E. Amaro , R. Navarro Perez

I discuss our recent work on Green's function Monte Carlo (GFMC) calculations of light nuclei using local nucleon-nucleon interactions derived from chiral effective field theory (EFT) up to next-to-next-to-leading order (N$^2$LO). I present…

Nuclear Theory · Physics 2016-04-20 J. E. Lynn

The recently derived long-range two-pion exchange (TPE) contributions to the nuclear current operator which appear at next-to-leading order (NLO) of the chiral expansion are used to describe electromagnetic processes. We study their role in…

Nuclear Theory · Physics 2011-08-03 D. Rozpedzik , J. Golak , S. Kolling , E. Epelbaum , R. Skibinski , H. Witala , H. Krebs

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

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

We perform a nonperturbative calculation of the 1S0 NN scattering amplitude using an effective field theory (EFT) expansion. The expansion we advocate is a modification of what has been used previously; it is no a chiral expansion in powers…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan , Martin J. Savage , Mark B. Wise

The effective field theory (EFT) for triaxially deformed even-even nuclei is generalized to include the vibrational degrees of freedom. The pertinent Hamiltonian is constructed up to next-to-leading order. The leading order part describes…

Nuclear Theory · Physics 2018-07-04 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

One-loop corrections at the two-nucleon level to Pion Double Charge exchange (DCX) scattering off a nuclear target at threshold, are calculated within the framework of Heavy Baryon Chiral Perturbation Theory (HBChPT). An estimate for the…

Nuclear Theory · Physics 2007-05-23 A. Misra , D. S. Koltun

We consider nucleon-nucleon scattering using the formulation of chiral effective field theory which is claimed to be renormalization group invariant. The cornerstone of this framework is the existence of a well-defined infinite-cutoff limit…

Nuclear Theory · Physics 2022-10-31 A. M. Gasparyan , E. Epelbaum

We calculate neutrino processes involving two nucleons at subnuclear densities using chiral effective field theory. Shorter-range noncentral forces reduce the neutrino rates significantly compared with the one-pion exchange approximation…

Nuclear Theory · Physics 2009-11-06 S. Bacca , K. Hally , C. J. Pethick , A. Schwenk

Since Weinberg's proposal two decades ago, chiral effective field theory in the NN sector has been developed and applied up to order $O((Q/M_{hi})^4)$. In principle it could provide a model-independent description of nuclear force from QCD.…

Nuclear Theory · Physics 2017-08-23 C. J. Yang , Bingwei Long

We study the two-pion exchange potential at next-to-next-to-leading order in chiral effective field theory. We propose a new cut-off scheme for the pion loop integrals based on spectral function regularization. We show that this method…

Nuclear Theory · Physics 2014-11-18 Evgeny Epelbaum , Walter Glöckle , Ulf-G. Meißner

We use diagrammatic many-body perturbation theory in combination with low-momentum interactions derived from chiral effective field theory to construct effective shell-model transition operators for the neutrinoless double-beta decay of…

Nuclear Theory · Physics 2013-07-23 Jason D. Holt , Jonathan Engel