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Related papers: An Effective Theory for the Four-Body System

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A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives…

Atomic Physics · Physics 2024-07-03 Lucas Madeira

The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy -- is required to predict the binding energies of clusters with an arbitrary number of bosons. Whether this correlation…

Nuclear Theory · Physics 2021-06-10 Lorenzo Contessi , Johannes Kirscher , Manuel Pavon Valderrama

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

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

Effective field theory provides a powerful framework to exploit a separation of scales in physical systems. In these lectures, we discuss some general aspects of effective field theories and their application to few-body physics. In…

Nuclear Theory · Physics 2017-06-28 H. -W. Hammer , Sebastian König

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb…

Nuclear Theory · Physics 2011-02-01 Shung-ichi Ando , Michael C. Birse

The number of four-body states known to behave universally is small. This work adds a new class of four-body states to this relatively short list. We predict the existence of a universal four-body bound state for heavy-light mixtures…

Quantum Gases · Physics 2015-06-11 D. Blume

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three- and four-body nuclei are calculated with AV6 and AV14 NN potentials.…

Nuclear Theory · Physics 2009-11-07 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs…

Nuclear Theory · Physics 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

Nuclear Theory · Physics 2013-11-21 Chen Ji , Daniel R. Phillips

Few-body systems with resonant short-range interactions display universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the…

Quantum Gases · Physics 2012-08-16 S. Tölle , H. -W. Hammer , B. C. Metsch

In a previous work [Phys. Rev. A 85, 022502 (2012)] we calculated, with the use of our Gaussian expansion method for few-body systems, the energy levels and spatial structure of the 4He trimer and tetramer ground and excited states using…

Atomic Physics · Physics 2012-06-08 E. Hiyama , M. Kamimura

An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze…

Nuclear Theory · Physics 2013-09-09 L. Platter

The role of an intrinsic four-body scale in universal few-boson systems is the subject of active debate. We study these systems within the framework of effective field theory. For systems of up to six bosons we establish that no four-body…

The Effective Field Theory "without pions" at next-to-leading order is used to analyze universal bound state and scattering properties of the 3- and 4-nucleon system. Results of a variety of phase shift equivalent nuclear potentials are…

The Alt-Grassberger-Sandhas N-body theory is used to study interaction of eta-mesons with d, 3He, and 4He. Separable expansion of the subamplitudes is adopted to convert the integral equations into the quasi-two-body form. The resulting…

Nuclear Theory · Physics 2018-04-18 A. Fix , O. Kolesnikov

We analyze how corrections linear in the effective range, r_0, affect quantities in the three-body sector within an effective field theory for short-range interactions. We demonstrate that observables can be obtained straightforwardly using…

Nuclear Theory · Physics 2013-09-09 Chen Ji , Daniel R. Phillips , Lucas Platter

I present recent results on few-body correlations in nuclear matter at finite temperatures and densities. In particular I focus on the four-body correlations. The alpha-particle is the strongest bound state. The investigation is done based…

Nuclear Theory · Physics 2007-05-23 M. Beyer