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Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Aron D. Kovacs , Harvey S. Reall

The theory of self-consistent effective interactions in nuclei is extended for a system with a velocity dependent mean potential. By means of the field coupling method, we present a general prescription to derive effective interactions…

Nuclear Theory · Physics 2009-09-25 T. Kubo , H. Sakamoto , T. Kammuri , T. Kishimoto

Many-body forces are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. Their precise structure is generally difficult to uncover. So, phenomenological effective forces are often used in…

Quantum Physics · Physics 2018-07-19 Claude Semay , Guillaume Sicorello

The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A=3-6). The separation of the hyperradial part leads to a state…

Nuclear Theory · Physics 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

We investigate pionless effective field theory (\nopieft) with finite-cutoff regularization as a framework for describing few-nucleon systems. This formulation incorporates effective-range effects already at leading order (LO), thereby…

Nuclear Theory · Physics 2025-12-23 Liron H. Avraham , Betzalel Bazak

We address the issue of determining an effective two-body interaction for mean-field calculations of energies of many-body systems. We show that the effective interaction is proportional to the phase shift, and demonstrate this result in…

Other Condensed Matter · Physics 2007-05-23 A. Collin , P. Massignan , C. J. Pethick

Resummed-Range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length $a$ and an effective range $r_0$ large in magnitude but negative. Its…

Nuclear Theory · Physics 2024-05-01 Harald W. Griesshammer

We calculate the structure of three-body hypernuclei with $S=-1$ using pionless effective field theory at leading order in the isospin $I=0$ and $I=1$ sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect…

Nuclear Theory · Physics 2020-07-16 F. Hildenbrand , H. -W. Hammer

I discuss effective field theories for heavy bound systems, particularly bound systems involving two heavy quarks. The emphasis is on the relevant concepts and on interesting physical applications and results.

High Energy Physics - Phenomenology · Physics 2007-05-23 Nora Brambilla

I present the results obtained for several observables in the two-nucleon sector using effective field theory with KSW power-counting and dimensional regularization. In addition to the phase shifts for nucleon-nucleon scattering, several…

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

In this paper, a nice theoretical scheme is presented to investigate resonant and bound states in weakly bound nuclear systems by the use of isospectral potentials together with hyperspherical harmonics expansion. In this scheme, a new…

Nuclear Theory · Physics 2022-04-04 Md. A. Khan , M. Hasan , S. H. Mondal , M. Alam , T. Surungan

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to…

High Energy Physics - Phenomenology · Physics 2021-10-26 De-Liang Yao , Ling-Yun Dai , Han-Qing Zheng , Zhi-Yong Zhou

We use an effective-field-theory framework to analyze the Efimov effect in heteronuclear three-body systems consisting of two species of atoms with a large interspecies scattering length. In the leading-order description of this theory,…

Quantum Gases · Physics 2016-09-14 Bijaya Acharya , Chen Ji , Lucas Platter

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction…

Nuclear Theory · Physics 2009-07-22 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

Nuclear Theory · Physics 2024-08-06 S. A. Rakityansky

An exact relation which links the ideal model space to be used in A-body calculations when the two-body interaction is given in a truncated model space is derived. Its implications on the effective field theory (EFT) approach to…

Nuclear Theory · Physics 2018-01-01 C. -J. Yang

We develop an effective field theory approach for the $S$-wave quarkonium-nucleon system. We adopt a natural power counting equivalent to Weinberg's power counting in nucleon-nucleon effective field theories and compute the…

High Energy Physics - Phenomenology · Physics 2018-08-01 Jaume Tarrús Castellà , Gastão Krein

Singular potentials (the inverse-square potential, for example) arise in many situations and their quantum treatment leads to well-known ambiguities in choosing boundary conditions for the wave-function at the position of the potential's…

High Energy Physics - Phenomenology · Physics 2017-05-24 C. P. Burgess , Peter Hayman , Matt Williams , Laszlo Zalavari

The interaction of an $\eta$-meson with two nucleons is studied within a three-body approach. The major features of the $\eta NN$-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body $\eta…

Nuclear Theory · Physics 2011-07-19 A. Fix , H. Arenhoevel

We consider the low-energy effective field theory describing the infrared dynamics of non-dissipative fluids. We extend previous work to accommodate conserved charges, and we clarify the matching between field theory variables and…

High Energy Physics - Theory · Physics 2012-08-23 Sergei Dubovsky , Lam Hui , Alberto Nicolis , Dam Thanh Son