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A distorted-wave version of the renormalisation group is applied to scattering by an inverse-square potential and to three-body systems. In attractive three-body systems, the short-distance wave function satisfies a Schroedinger equation…

Nuclear Theory · Physics 2009-11-10 Thomas Barford , Michael C. Birse

We address the problem of calculating momentum distributions of particles emerging from the three-body decay of a many-body resonance. We show that these distributions are determined by the asymptotics of the coordinate-space complex-energy…

Nuclear Theory · Physics 2009-11-11 E. Garrido , D. V. Fedorov , A. S. Jensen , H. O. U. Fynbo

For many-body systems with short range interaction a series of relations were derived connecting many properties of the system to the dynamics of a closely packed few-body subsystems. Some of these relations were experimentally verified in…

Nuclear Theory · Physics 2016-12-21 Ronen Weiss , Ehoud Pazy , Nir Barnea

We compute the three-body structure of the lowest resonances of $^{12}$Be considered as two neutrons around an inert $^{10}$Be core. This is an extension of the bound state calculations of $^{12}$Be into the continuum spectrum. We…

Nuclear Theory · Physics 2015-06-05 E. Garrido , A. S. Jensen , D. V. Fedorov , J. G. Johansen

Three-body recombination, or ternary association, is a termolecular reaction in which three particles collide, forming a bound state between two, whereas the third escapes freely. Three-body recombination reactions play a significant role…

Chemical Physics · Physics 2023-08-03 Marjan Mirahmadi , Jesús Pérez-Ríos

We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate…

Quantum Gases · Physics 2017-09-13 Samuel B. Emmons , Daekyoung Kang , Bijaya Acharya , Lucas Platter

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

In present work, we study an numerical approach to one dimensional finite volume three-body interaction, the method is demonstrated by considering a toy model of three spinless particles interacting with pair-wise $\delta$-function…

High Energy Physics - Lattice · Physics 2018-01-31 Peng Guo , Vladimir Gasparian

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

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

Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition-operator directly solved in terms of momentum vectors without employing a partial…

Nuclear Theory · Physics 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , W. Gloeckle

We discuss the finite-temperature properties of low-dimensional bosons with three-body interactions described by a Feshbach-resonance-like two-channel model. In particular, by using the approximate consideration that collects ring-like…

Quantum Gases · Physics 2026-04-07 V. Polkanov , V. Pastukhov

We perform measurements of the third moment of atom number fluctuations in small slices of a very elongated weakly interacting degenerate Bose gas. We find a positive skewness of the atom number distribution in the ideal gas regime and a…

Quantum Gases · Physics 2015-05-19 Julien Armijo , Thibaut Jacqmin , Karen Kheruntsyan , Isabelle Bouchoule

We investigate the BCS-BEC crossover taking into account an additional three-body interaction, which is essentially the scattering between the Cooper pairs and the newly formed bosons. We show that if the two-body interaction is attractive,…

Quantum Gases · Physics 2011-10-18 Raka Dasgupta

Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential…

Quantum Gases · Physics 2018-04-04 D. Blume , M. W. C. Sze , J. L. Bohn

We consider the focusing 3D quantum many-body dynamic which models a dilute bose gas strongly confined in two spatial directions. We assume that the microscopic pair interaction is attractive and given by $a^{3\beta-1}V(a^{\beta}\cdot)$…

Analysis of PDEs · Mathematics 2017-06-05 Xuwen Chen , Justin Holmer

Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the…

Quantum Gases · Physics 2019-01-30 Ludovic Pricoupenko

Ultracold atomic gases provide a controllable system to study the inelastic processes for three-body systems, where the three-body recombination rate depends on the scattering length scaling. Such scalings have been confirmed in bosonic…

Quantum Gases · Physics 2023-10-24 Jiaming Li , Shuai Peng , Yirou Xu , Shiyin Kuang , Le Luo

We investigate the multi-channel 4-body scattering system using regularized 2- and 3-body contact interactions. The analysis determines the sensitivity of bound-state energies, scattering phase shifts and cross sections on the cutoff…

Nuclear Theory · Physics 2024-11-04 Sourav Mondal , Rakshanda Goswami , Udit Raha , Johannes Kirscher