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We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of $M_\pi\simeq 450$ MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and…

Nuclear Theory · Physics 2016-07-20 V. Baru , E. Epelbaum , A. A. Filin

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

Including the vacuum effects, the compressional properties of nuclear matter are studied in the cutoff field theory. Under the Hartree approximation, the low-energy effective Lagrangian is derived in the framework of the renormalization…

Chiral effective field theory is being developed into a precision tool for low-energy nuclear physics. I review the state of the art in the two-nucleon sector, discuss applications to few-nucleon systems and address challenges that will…

Nuclear Theory · Physics 2019-08-27 E. Epelbaum

We apply the method of unitary transformations to a model two-nucleon potential and construct from it an effective potential in a subspace of momenta below a given cut-off $\Lambda$. The S-matrices in the full space and in the subspace are…

Nuclear Theory · Physics 2008-11-26 E. Epelbaoum , W. Glöckle , A. Krüger , Ulf-G. Meißner

Effective field theories have been developed for the description of light, shallow nuclei. I review results for two- and three-nucleon systems, and discuss their extension to halo nuclei.

Nuclear Theory · Physics 2009-11-10 U. van Kolck

Nuclear effective field theory is applied to the effective range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective range expansion in the same way as in the…

Nuclear Theory · Physics 2011-05-12 Ryoichi Seki , U. van Kolck

Lecture Notes, Summer School on Effective Theories and Fundamental Interactions, Erice, 1996. The application of effective field theory methods to the low energy structure of QCD is discussed. I emphasize the universal structure of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Leutwyler

The application of the effective field theory (EFT) method to nuclear systems is reviewed. The roles of degrees of freedom, QCD symmetries, power counting, renormalization, and potentials are discussed. EFTs are constructed for various…

Nuclear Theory · Physics 2008-11-26 U. van Kolck

In the first part of the talk, I discussed the nature of the effective theory that describes the properties of the pion-nucleon-interaction at low energies, using the static model as a starting point. In the second part, I then pointed out…

High Energy Physics - Phenomenology · Physics 2011-04-15 H. Leutwyler

We discuss the possibilities of distinguishing among different mechanisms of neutrinoless double beta decay arising in the effective field theory framework. Following the review and detailed investigation of the particular ways of…

High Energy Physics - Phenomenology · Physics 2022-08-31 Lukáš Gráf , Manfred Lindner , Oliver Scholer

I review recent developments in the application of effective field theory to nuclear physics. Emphasis is placed on precision two-body calculations and efforts to formulate the nuclear shell model in terms of an effective field theory.

Nuclear Theory · Physics 2007-05-23 Martin J. Savage

We apply the relativistic chiral Lagrangian to the nuclear equation of state. An effective chiral power expansion scheme, which is constructed to work around nuclear saturation density, is presented. The leading and subleading terms are…

Nuclear Theory · Physics 2007-05-23 Matthias Lutz

These lectures introduce some of the basic ideas of effective field theories. The topics discussed include: relevant and irrelevant operators and scaling, renormalization in effective field theories, decoupling of heavy particles, power…

High Energy Physics - Phenomenology · Physics 2009-10-28 Aneesh V. Manohar

Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy $S$-wave resonance. Our starting point is the most…

Nuclear Theory · Physics 2021-05-28 J. Balal Habashi , S. Sen , S. Fleming , U. van Kolck

Weak interaction in nuclei represents a well-known venue for testing many of the fundamental symmetries of the Standard Model. In particular, neutrinoless double-beta decay offers the possibility to test Beyond Standard Model theories…

High Energy Physics - Phenomenology · Physics 2017-10-03 Mihai Horoi , Andrei Neacsu

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed…

Nuclear Theory · Physics 2025-10-07 Dean Lee

The effective field theory approach to high temperature field theory can be used to study the phase transition in theories with spontaneously broken symmetry. I construct a sequence of two effective three--dimensional field theories which…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jens O. Andersen

Weak interactions in two-nucleon system at low energies are explored in the framework of effective field theory. We review our recent calculations of parity-violating observables in radiative neutron capture on a proton at threshold where…

Nuclear Theory · Physics 2011-03-28 Shung-ichi Ando , Chang Ho Hyun , Jae Won Shin

We show that in the search of a unified mean field description of finite nuclei and of nuclear and neutron matter even at high densities, the relativistic nuclear model derived from effective field theory and density functional theory…

Nuclear Theory · Physics 2007-05-23 Tapas Sil , S. K. Patra , B. K. Sharma , M. Centelles , X. Vinas