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We develop an effective field theory (EFT) for deformed odd-mass nuclei. These are described as an axially symmetric core to which a nucleon is coupled. In the coordinate system fixed to the core the nucleon is subject to an axially…

Nuclear Theory · Physics 2020-10-28 T. Papenbrock , H. A. Weidenmüller

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

We develop an effective field theory (EFT) for nuclear vibrations. The key ingredients - quadrupole degrees of freedom, rotational invariance, and a breakdown scale around the three-phonon level - are taken from data. The EFT is developed…

Nuclear Theory · Physics 2015-12-15 E. A. Coello Pérez , T. Papenbrock

Effective field theory (EFT) is generalized to investigate the rotational motion of triaxially deformed even-even nuclei. A Hamiltonian, called the triaxial rotor model (TRM), is obtained up to next-to-leading order (NLO) within the EFT…

Nuclear Theory · Physics 2017-11-22 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

We extend an effective field theory developed to describe rotational bands in even-even nuclei to the odd-mass case. This organizes Bohr and Mottelson's treatment of a particle coupled to a rotor as a model-independent expansion in powers…

Nuclear Theory · Physics 2022-01-05 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

We use effective field theory to compute the influence of nuclear structure on precision calculations of atomic energy levels. As usual, the EFT's effective couplings correspond to the various nuclear properties (such as the charge radius,…

High Energy Physics - Phenomenology · Physics 2021-05-19 L. Zalavari , C. P. Burgess , P. Hayman , M. Rummel

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the rotational energy levels of $^{99}$Tc, ${}^{155,157}$Gd, ${}^{159}$Dy,…

Nuclear Theory · Physics 2022-03-07 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

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

Nuclear effective field theories (EFTs) have been developed over the last quarter-century with considerable impact on the description of light and even medium-mass nuclei. At the core of any EFT is a systematic expansion of observables,…

Nuclear Theory · Physics 2020-04-22 U. van Kolck

Effective Field Theories (EFTs) capture effects from heavy dynamics at low energy and represent an essential ingredient in the context of Standard Model (SM) precision tests. This document gathers a number of relevant scenarios for heavy…

High Energy Physics - Phenomenology · Physics 2020-09-04 D. Marzocca , F. Riva , J. Criado , S. Dawson , J. de Blas , B. Henning , D. Liu , C. Murphy , M. Perez-Victoria , J. Santiago , L. Vecchi , Lian-Tao Wang

In the low-energy region far below the chiral symmetry breaking scale (which is of the order of 1 GeV) chiral perturbation theory provides a model-independent approach for quantitative description of nuclear processes. In the two- and…

High Energy Physics - Lattice · Physics 2016-08-14 Hermann Krebs , Bugra Borasoy , Evgeny Epelbaum , Dean Lee , Ulf-G. Meißner

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…

Other Condensed Matter · Physics 2009-11-10 H. -W. Hammer

I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

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

Nuclear halos emerge as new degrees of freedom near the neutron and proton driplines. They consist of a core and one or a few nucleons which spend most of their time in the classically-forbidden region outside the range of the interaction.…

Nuclear Theory · Physics 2017-11-07 H. -W. Hammer , C. Ji , D. R. Phillips

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

We extend effective field theory to the case of spontaneous symmetry breaking in genuinely finite quantum systems such as small superfluid systems, molecules or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry…

Nuclear Theory · Physics 2014-02-04 T. Papenbrock , H. A. Weidenmueller

The nuclear physics landscape has been redesigned as a sequence of effective field theories (EFTs) connected to the Standard Model through symmetries and lattice simulations of Quantum Chromodynamics (QCD). EFTs in this sequence are…

Nuclear Theory · Physics 2020-07-01 H. -W. Hammer , S. König , U. van Kolck
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