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Effetive field theory is believed to provide a useful framework for describing low-energy nuclear phenomena in a model-independent fashion. I give here a brief account of the basic features of this approach, some of its latest developments,…

Nuclear Theory · Physics 2007-05-23 K. Kubodera

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating mainly on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are: the extraction of…

Nuclear Theory · Physics 2009-11-07 Harald W. Griesshammer

Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive…

Nuclear Theory · Physics 2020-05-19 Mehdi Drissi , Thomas Duguet , Vittorio Soma

In this paper, a novel theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials. In this scheme, a new potential is constructed which is strictly isospectral with…

Nuclear Theory · Physics 2020-10-06 Mahamadun Hasan , Shamim Haque Mondal , Murshid Alam , Tasrief Surungan , Md Abdul Khan

We develop the idea that renormalization, decoupling of heavy particle effects from low energy physics and the construction of effective field theories are intimately linked to the momentum space entanglement of disparate modes of an…

High Energy Physics - Theory · Physics 2020-11-12 Bingzheng Han , Ratindranath Akhoury

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

Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , A. P. Chapovsky , A. Signer , G. Zanderighi

Collective modes emerge as the relevant degrees of freedom that govern low-energy excitations of atomic nuclei. These modes - rotations, pairing rotations, and vibrations - are separated in energy from non-collective excitations, making it…

Nuclear Theory · Physics 2025-03-12 E. A. Coello Pérez , T. Papenbrock

An accurate description of nuclear matter starting from free-space nuclear forces has been an elusive goal. The complexity of the system makes approximations inevitable, so the challenge is to find a consistent truncation scheme with…

Nuclear Theory · Physics 2009-10-31 R. J. Furnstahl , James V. Steele , Negussie Tirfessa

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

We employ the effective field theory method to systematically study the short-range interaction in two-body sector in 2, 3 and 4 spacetime dimensions, respectively. The phi**4 theory is taken as a specific example and matched onto the…

High Energy Physics - Theory · Physics 2007-05-23 Yu Jia

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 consider the non-relativistic four-body system with large scattering length and short-range interactions within an effective theory with contact interactions only. We compute the binding energies of the 4He tetramer and of…

Other Condensed Matter · Physics 2009-11-10 L. Platter

We derive the ground-state energy for a small number of ultracold atoms in an isotropic harmonic trap using effective quantum field theory (EFT). Atoms are assumed to interact through pairwise energy-independent and energy-dependent…

Quantum Gases · Physics 2014-10-29 X. Y. Yin , D. Blume , P. R. Johnson , E. Tiesinga

The effective field theory with contact interactions alone is a powerful tool to compute low-energy observables for three-body systems with large scattering length. Recent calculations including effective range corrections are discussed and…

Nuclear Theory · Physics 2008-11-26 L. Platter

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

Materials Science · Physics 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the…

Nuclear Theory · Physics 2016-05-17 Chen Ji

Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyse this…

Nuclear Theory · Physics 2016-09-08 Boris Krippa , Michael C. Birse , Judith A. McGovern , Niels R. Walet

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

Nuclear Theory · Physics 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

"Resummed-Range Effective Field Theory'' is a consistent nonrelativistic effective field theory of contact interactions with large scattering length $a$ and an effective range $r_0$ large in magnitude but negative. Its leading order is…

Nuclear Theory · Physics 2023-12-13 Harald W. Griesshammer , Ubirajara van Kolck