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We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

Cold Helium atoms are a unique system where a single excited three-body Efimov state occurs, naturally, without the need for an external magnetic field. While three-body bound state energies of cold Helium atoms have previously been…

Nuclear Theory · Physics 2021-03-03 Julia Qin , Jared Vanasse

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

We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). We calculate binding energies of systems of up to six particles and the atom-dimer scattering length. Convergence to the limit…

Quantum Gases · Physics 2017-01-03 Betzalel Bazak , Moti Eliyahu , Ubirajara van Kolck

We treat low-energy $^3$He-$\alpha$ elastic scattering in an Effective Field Theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to Next-to-Next-to-Leading Order (NNLO), developing a hierarchy…

Nuclear Theory · Physics 2022-07-06 Maheshwor Poudel , Daniel R. Phillips

"Resummed-Range Effective Field Theory'' is a consistent nonrelativistic effective field theory of contact interactions with large scattering length $a$ and an effective range $r_0$ large in magnitude but negative. Its leading order is…

Nuclear Theory · Physics 2023-12-13 Harald W. Griesshammer , Ubirajara van Kolck

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

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…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

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…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

We consider the effective field theory (EFT) treatment of two-body systems with narrow resonances. Within this approach, an $s$-wave scattering amplitude can be expanded in powers of a typical momentum scale of a system $Q\ll \Lambda$,…

Nuclear Theory · Physics 2017-10-02 Mohammad H. Alhakami

Effective field theories (EFTs) are widely used to study many-body systems by describing two-body interactions using zero-ranged contact potentials. However, when extended to three-body processes, these contact interactions lead to…

Quantum Gases · Physics 2026-03-02 Corinne Beckers , Jacques Tempere , Jeff Maki , Denise Ahmed-Braun

We study systems of few two-component fermions interacting via short-range interactions within a harmonic-oscillator trap. The dominant interactions, which are two-body, are organized according to the number of derivatives and defined in a…

Quantum Gases · Physics 2014-09-18 J. Rotureau , I. Stetcu , B. R. Barrett , M. C. Birse , U. van Kolck

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 use of leading order effective field theory (EFT) to describe neutron-deuteron scattering leads to integral equations that have unusual behaviour: when only two-body interactions are included, the scattering amplitude does not approach…

Nuclear Theory · Physics 2007-05-23 B. Blankleider , J. Gegelia

We show the system of a heavy charged particle and a neutral atom can be described by a low-energy effective field theory where the attractive $1/r^4$ induced dipole potential determines the long-distance/low-energy wave functions. The…

Nuclear Theory · Physics 2023-07-26 Daniel Odell , Daniel R. Phillips , Ubirajara van Kolck

A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: i) predictions with next-to-leading-order (non-perturbatively) accuracy for the 4-helium…

Nuclear Theory · Physics 2015-06-03 Johannes Kirscher

We consider top quark decay in the Standard Model Effective Field Theory (SMEFT). We present a calculation of the total decay width and the $W$-boson helicity fractions at next-to-leading order (NLO) in SMEFT. Our result includes the…

High Energy Physics - Phenomenology · Physics 2019-12-23 Radja Boughezal , Chien-Yi Chen , Frank Petriello , Daniel Wiegand

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

Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy $S$-wave resonance. Our starting point is the most…

Nuclear Theory · Physics 2021-05-28 J. Balal Habashi , S. Sen , S. Fleming , U. van Kolck

We discuss shallow resonances in the nonrelativistic scattering of two particles using an effective field theory (EFT) that includes an auxiliary field with the quantum numbers of the resonance. We construct the manifestly renormalized…

High Energy Physics - Phenomenology · Physics 2021-06-15 J. B. Habashi , S. Fleming , U. van Kolck
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