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In the strangeness $S=-2$ sector, we study the $\Xi^{-}nn$ ($I=3/2, J^P={1/2}^+$) three-body system using pionless halo effective field theory (EFT), which provides a systematic model independent framework for assessing the feasibility of…

Nuclear Theory · Physics 2021-04-30 Ghanashyam Meher , Udit Raha

The Faddeev equation for three-body scattering below the three-body breakup threshold is directly solved without employing a partial wave decomposition. In the simplest form it is a three-dimensional integral equation in four variables.…

Nuclear Theory · Physics 2009-10-31 W. Schadow , Ch. Elster , W. Gloeckle

\noindent{\bf Background:} Deuteron-induced nuclear reactions are an essential tool for probing the structure of nuclei as well as astrophysical information such as $(n,\gamma)$ cross sections. The deuteron-nucleus system is typically…

Nuclear Theory · Physics 2023-02-01 Linda Hlophe , Konstantinos Kravvaris , Sofia Quaglioni

By calculating the contribution of the $\pi-\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the contribution of the different $\pi N$ partial…

Nuclear Theory · Physics 2008-11-26 T-Y. Saito , I. R. Afnan

We compute three-body nuclear forces at short distances by using the nuclear matrix model of holographic QCD proposed in our previous paper with P. Yi. We find that the three-body forces at short distances are repulsive for (a) aligned…

High Energy Physics - Theory · Physics 2011-01-05 Koji Hashimoto , Norihiro Iizuka

A recently developed three-dimensional formalism for the nucleon-deuteron breakup channel initially considered only the leading-order term of the Faddeev equations, using the nucleon-nucleon T-matrix to compute the breakup amplitude. In the…

Nuclear Theory · Physics 2026-01-01 Reza Ramazani-Sharifabadi , Iman Ziaeian

The Efimov effect can be induced by means of an external deformed one-body field that effectively reduces the allowed spatial dimensions to less than three. To understand this new mechanism, conceptually and practically, we employ a…

Atomic and Molecular Clusters · Physics 2021-03-23 E. Garrido , A. S. Jensen

Spinor condensates have proven to be a rich area for probing many-body phenomena richer than that of an ultracold gas consisting of atoms restricted to a single spin state. In the strongly correlated regime, the physics controlling the…

Quantum Physics · Physics 2014-12-30 V. E. Colussi , Chris H. Greene , J. P. D'Incao

The large distance behavior of weakly bound three-body systems is investigated. The Schr\"{o}dinger equation and the Faddeev equations are reformulated by an expansion in eigenfunctions of the angular part of a corresponding operator. The…

Nuclear Theory · Physics 2008-11-26 D. V. Fedorov , A. S. Jensen , K. Riisager

Previous investigations of the three-body dynamics of $B$ mesons have shown that no Efimov effect arises in systems composed of three $B$ and $B^*$ mesons. This implies that the properties of such three-body systems can be described…

High Energy Physics - Phenomenology · Physics 2026-05-19 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

It is often assumed that few- and many-body systems can be accurately described by considering only pairwise two-body interactions of the constituents. We illustrate that three- and higher-body forces enter naturally in effective field…

Nuclear Theory · Physics 2013-02-08 H. -W. Hammer , A. Nogga , A. Schwenk

Recent experimental results in three-body systems have unambiguously shown that calculations based on nucleon-nucleon forces fail to accurately describe many experimental observables and one needs to include effects which are beyond the…

Nuclear Theory · Physics 2011-08-04 N. Kalantar-Nayestanaki , E. Epelbaum

A simple approximation which captures some non-perturbative aspects of the one electron Green function of strongly interacting Fermion systems is developed. It provides a way to go one step beyond the usual dilute limit since…

Condensed Matter · Physics 2016-08-31 Ted Hsu , Benoit Doucot

We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for…

Quantum Gases · Physics 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Within the framework of non-relativistic scalar effective field theory it is shown that the problem of the cutoff dependence of the leading order amplitude for a particle scattering off a two-body bound state can be solved without…

Nuclear Theory · Physics 2011-03-28 J. Gegelia

We study the scattering of a particle from a bound pair in an effective field theory using a distorted-wave renormalisation group method to find the power-counting for the three-body force terms. We find that three-body terms appear at…

Nuclear Theory · Physics 2007-05-23 T. Barford , M. C. Birse

A few-body properties of spinless Bose particles interacting via the contact three-body potential in geometries with fractional dimensions $1<d<2$ are considered. In the four-body sector at three-body resonance we predict the existence of…

Quantum Gases · Physics 2022-11-30 O. Hryhorchak , V. Pastukhov

The traditional nuclear shell model approach is extended to include many-body forces. The empirical Hamiltonian with a three-body force is constructed for the identical nucleons on the 0f7/2 shell. Manifestations of the three-body force in…

Nuclear Theory · Physics 2009-08-03 Alexander Volya

Extremely weakly-bound three-boson systems are predicted to exhibit intriguing universal properties such as discrete scale invariance. Motivated by recent experimental studies of the ground and excited helium trimers, this work analyzes the…

Quantum Gases · Physics 2015-12-08 D. Blume

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente