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We consider the applications of functional renormalisation group to few and many-body systems. As an application to the few-body dynamics we study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length…

Nuclear Theory · Physics 2015-05-14 B. Krippa

We calculate the effective three-body force for bosons interacting with each other by a two-body potential tuned to a narrow zero crossing in any dimension. We use the standard two-channel model parametrized by the background atom-atom…

Quantum Gases · Physics 2019-10-15 A. Pricoupenko , D. S. Petrov

Efforts to describe nuclear structure and dynamics from first principles have advanced significantly in recent years. Exact methods for light nuclei are now able to include continuum degrees of freedom and treat structure and reactions on…

A multi-component formalism is developed to describe three-body systems with nonstatic pairwise interactions and non-nucleonic degrees of freedom. The dressed-bag model for $NN$ interaction based on the formation of an intermediate…

Nuclear Theory · Physics 2009-11-10 V. I. Kukulin , V. N. Pomerantsev , M. Kaskulov , Amand Faessler

A matrix model of an asymptotically free theory with a bound state is solved using a perturbative similarity renormalization group for hamiltonians. An effective hamiltonian with a small width, calculated including the first three terms in…

High Energy Physics - Theory · Physics 2007-05-23 Stanislaw D. Glazek

We apply the effective field theory approach to the three-nucleon system. In particular, we consider S=1/2 neutron-deuteron scattering and the triton. We show that in this channel a unique nonperturbative renormalization takes place which…

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

Programmable arrays of neutral Rydberg atoms are one of the leading platforms today for scalable quantum simulation and computation. In these systems, the dipole-dipole interactions between the individual atoms, or qubits, typically result…

Quantum Gases · Physics 2026-04-15 Rhine Samajdar , Mikhail D. Lukin , Valentin Walther

The study of the three-body problem with short-range attractive two-body forces has a rich history going back to the 1930's. Recent applications of effective field theory methods to atomic and nuclear physics have produced a much improved…

Nuclear Theory · Physics 2009-11-11 R. F. Mohr , R. J. Furnstahl , H. -W. Hammer , R. J. Perry , K. G. Wilson

Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states.…

Strongly Correlated Electrons · Physics 2020-08-18 Lennart Klebl , Dante M. Kennes , Carsten Honerkamp

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

Nuclear Theory · Physics 2015-05-30 N. Kalantar-Nayestanaki , E. Epelbaum , J. G. Messchendorp , A. Nogga

The Schrodinger equation with a two-dimensional delta-function potential is a simple example of an asymptotically free theory that undergoes dimensional transmutation. Renormalization requires the introduction of a mass scale, which can be…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry , Sergio Szpigel

A coordinate space approach, based on that used by Efimov, is applied to three-body systems with contact interactions between pairs of particles. In systems with nonzero orbital angular momentum or with asymmetric spatial wave functions,…

Nuclear Theory · Physics 2009-11-11 Michael C. Birse

We present a method based on hyperspherical harmonics to solve the nuclear many-body problem. It is an extension of accurate methods used for studying few-body systems to many bodies and is based on the assumption that nucleons in nuclei…

Nuclear Theory · Physics 2009-11-10 M. Fabre de la Ripelle , S. A. Sofianos , R. M. Adam

I give an outline of recent applications of the renormalisation group to effective theories of nuclear forces, focussing on the use of a Wilsonian approach to analyse systems of two or three nonrelativistic particles.

Nuclear Theory · Physics 2015-05-20 Michael C. Birse

Modern effective-theory techniques are applied to the nuclear many-body problem. A novel approach is proposed for the renormalization of operators in a manner consistent with the construction of the effective potential. To test this…

Nuclear Theory · Physics 2009-11-10 N. P. Mehta , C. Felline , J. R. Shepard , J. Piekarewicz

We derive coupled-cluster equations for three-body Hamiltonians. The equations for the one- and two-body cluster amplitudes are presented in a factorized form that leads to an efficient numerical implementation. We employ low-momentum two-…

Nuclear Theory · Physics 2008-11-26 G. Hagen , T. Papenbrock , D. J. Dean , A. Schwenk , A. Nogga , M. Wloch , P. Piecuch

Short-range correlations between nucleon pairs in different spin-isospin channels are investigated for light nuclei using the Argonne V8' interaction. At distances below 1 fm a universal behavior is found for the deuteron, 3H, 3He and for…

Nuclear Theory · Physics 2011-11-14 H. Feldmeier , W. Horiuchi , T. Neff , Y. Suzuki

We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular…

High Energy Physics - Phenomenology · Physics 2019-09-04 M. Mikhasenko , Y. Wunderlich , A. Jackura , V. Mathieu , A. Pilloni , B. Ketzer , A. P. Szczepaniak

Based on the leading-order covariant pionless effective field theory, a relativistic nuclear Hamiltonian is derived and solved using the variational Monte Carlo approach for $A\le 4$ nuclei by representing the nuclear many-body wave…

Nuclear Theory · Physics 2022-11-24 Y. L. Yang , P. W. Zhao

In many-body theory it is often useful to renormalize short-distance, high-momentum components of an interaction via unitary transformations. Such transformations preserve the on-shell physical observables of the two-body system (mostly…

Nuclear Theory · Physics 2014-11-21 Calvin W. Johnson