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After a brief review on the status of few--nucleon studies based on conventional nuclear forces, we sketch the concepts of the effective field theory approach constrained by chiral symmetry and its application to nuclear forces. Then first…

Nuclear Theory · Physics 2017-08-23 W. Gloeckle , E. Epelbaum , U. G. Meissner , A. Nogga , H. Kamada , H. Witala

We propose a novel way to formulate Chiral Perturbation Theory in a nuclear background, characterized by a static, non-uniform distribution of the baryon number that describes the finite nucleus. In the limiting case of a uniform…

High Energy Physics - Phenomenology · Physics 2015-06-25 L. Girlanda , A. Rusetsky , W. Weise

We show how effectively effective quantum field theories work in nuclear physics. Using the physically transparent cut-off regularization, we study the simplest nuclear systems of two nucleons for both bound and scattering states at a…

Nuclear Theory · Physics 2009-10-31 Tae-Sun Park , Kuniharu Kubodera , Dong-Pil Min , Mannque Rho

In the framework of pionless nucleon-nucleon effective field theory we study different approximation schemes for the nuclear many body problem. We consider, in particular, ladder diagrams constructed from particle-particle, hole-hole, and…

Nuclear Theory · Physics 2009-11-11 Thomas Schaefer , Chung-Wen Kao , Stephen R. Cotanch

Effective field theories are the most general tool for the description of low energy phenomena. They are universal and systematic: they can be formulated for any low energy systems we can think of and offer a clear guide on how to calculate…

Nuclear Theory · Physics 2017-04-21 Manuel Pavon Valderrama

The relativistic mean field approach, within a theoretical framework known as the chiral confining model incorporating chiral symmetry breaking and quark confinement effects, is applied for the first time to finite nuclei. Model parameters…

Nuclear Theory · Physics 2026-05-27 M. Chamseddine , J. -P. Ebran , E. Khan , B. K. Pradhan , J. Margueron , H. Hansen , G. Chanfray

The advent of nucleon-nucleon potentials derived from chiral perturbation theory, as well as the so-called V-low-k approach to the renormalization of the strong short-range repulsion contained in the potentials, have brought renewed…

Nuclear Theory · Physics 2015-05-27 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

The renormalisation of NN scattering in theories with zero-range interactions is examined using a cut-off regularisation and taking the cut-off to infinity. Inclusion of contact interactions that depend on energy as well as momentum allows…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson , Michael C. Birse , Judith A. McGovern

We revisit the chiral kinetic equation from high density effective theory approach, finding a chiral kinetic equation differs from counterpart derived from field theory in high order terms in the $O(1/\mu)$ expansion, but in agreement with…

High Energy Physics - Phenomenology · Physics 2019-07-30 Shu Lin , Aradhya Shukla

We review the role played by long-distance symmetries within the context of the similarity renormalization group approach. This is based on phase-shift-preserving continuous unitary transformations that evolve Hamiltonians with a cutoff on…

Nuclear Theory · Physics 2013-02-19 E. Ruiz Arriola , V. S. Timoteo , S. Szpigel

While chiral perturbation theory for mesons is characterized by a momentum expansion in $Q/\Lambda_\chi$ with $\Lambda_\chi \sim 1$ GeV, existing formulations of effective theory for nucleon-nucleon scattering deviate from data at $Q\sim…

Nuclear Theory · Physics 2026-04-10 Cullen Gantenberg , David B. Kaplan

We briefly review general concepts of renormalization in quantum field theory and discuss their application to solutions of integral equations with singular potentials in the few-nucleon sector of the low-energy effective field theory of…

Nuclear Theory · Physics 2020-05-28 E. Epelbaum , A. M. Gasparyan , J. Gegelia , Ulf-G. Meißner , X. -L. Ren

Recently, we have shown that the continuity equation for the nuclear vector and axial current operators acquires additional terms if the latter depend on the energy transfer. We analyze in detail the electromagnetic single-nucleon…

Nuclear Theory · Physics 2019-05-07 H. Krebs , E. Epelbaum , U. -G. Meißner

We consider a low-energy effective field theory of vector mesons and Goldstone bosons using the complex-mass renormalization. As an application we calculate the mass and the width of the $\rho$ meson.

High Energy Physics - Phenomenology · Physics 2014-11-18 D. Djukanovic , J. Gegelia , A. Keller , S. Scherer

One of the central open problems in nuclear physics is the construction of effective interactions suitable for many-body calculations. We discuss a recently developed approach to this problem, where one starts with an effective field theory…

Nuclear Theory · Physics 2014-11-20 I. Stetcu , J. Rotureau , B. R. Barrett , U. van Kolck

In the effective field theory formalism nuclear forces are organized as a low energy expansion. Usually the lowest order in this expansion corresponds to the non-perturbative iteration of the one-pion exchange potential and a few…

Nuclear Theory · Physics 2024-10-25 Manuel Pavon Valderrama

We report on a novel scheme based on the chiral Lagrangian. It is used to analyze pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering. Subthreshold partial-wave amplitudes are calculated in chiral perturbation…

High Energy Physics - Phenomenology · Physics 2015-05-20 A. M. Gasparyan , M. F. M. Lutz

We present a novel description of nuclear many-body systems, both for nuclear matter and finite nuclei, emphasizing the connection with the condensate structure of the QCD ground state and spontaneous chiral symmetry breaking. Lorentz…

Nuclear Theory · Physics 2009-11-07 P. Finelli , N. Kaiser , D. Vretenar , W. Weise

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

This presentation reviews an approach to nuclear many-body systems based on the spontaneously broken chiral symmetry of low-energy QCD. In the low-energy limit, for energies and momenta small compared to a characteristic symmetry breaking…

Nuclear Theory · Physics 2015-06-15 J. W. Holt , N. Kaiser , W. Weise
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