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Recent work has shown that a finite harmonic oscillator basis in nuclear many-body calculations effectively imposes a hard-wall boundary condition in coordinate space, motivating infrared extrapolation formulas for the energy and other…

Nuclear Theory · Physics 2013-04-25 S. N. More , A. Ekstrom , R. J. Furnstahl , G. Hagen , T. Papenbrock

We present a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions. This condition gives a relation between the finite volume spectrum and infinite volume…

High Energy Physics - Lattice · Physics 2013-05-29 Raul A. Briceno , Zohreh Davoudi

In three spatial dimensions, in the unitary limit of a non-relativistic quantum Bose or Fermi gas, the scattering length diverges. This occurs at a renormalization group fixed point, thus these systems present interesting examples of…

Quantum Gases · Physics 2011-02-16 Pye-Ton How , Andre LeClair

We study three-body recombination of fully spin-polarized ${}^6$Li atoms that are interacting resonantly in relative p-waves. Motivated by a recent experiment, we focus on negative scattering volumes where three atoms recombine into a deep…

Quantum Gases · Physics 2020-07-01 Marcel Schmidt , Hans-Werner Hammer , Lucas Platter

The $^3$He$(e,e^\prime p)$$d$ reaction is studied using an accurate three-nucleon bound state wave function, a model for the electromagnetic current operator including one- and two-body terms, and the Glauber approximation for the treatment…

Nuclear Theory · Physics 2014-11-18 R. Schiavilla , O. Benhar , A. Kievsky , L. E. Marcucci , M. Viviani

It is well-known that three-boson systems show the Efimov effect when the two-body scattering length $a$ is large with respect to the range of the two-body interaction. This effect is a manifestation of a discrete scaling invariance (DSI).…

Quantum Gases · Physics 2015-06-19 A. Kievsky , M. Gattobigio , N. K. Timofeyuk

We discuss modeling of nuclear structure beyond the 2-body interaction paradigm. Our first example is related to the need of three nucleon contact interaction terms suggested by chiral perturbation theory. The relationship of the two…

Nuclear Theory · Physics 2019-08-27 V. G. Gueorguiev

We present the first systematic measurement of the binding energy $E_a$ of hydrogen atoms to the surface of saturated $^3$He-$^4$He mixture films. $E_a$ is found to decrease almost linearly from 1.14(1) K down to 0.39(1) K, when the…

Statistical Mechanics · Physics 2009-10-31 A. I. Safonov , S. A. Vasilyev , A. A. Kharitonov , S. T. Boldarev , I. I. Lukashevich , S. Jaakkola

Enhancement, due to constructive interference through the many possible reaction channels, occurs in two-neutron transfer reactions from a bound system $A$ to a weakly-bound system ($A$+2), whenever the intermediate system is unbound and…

Nuclear Theory · Physics 2026-02-05 Gagandeep Singh , Lorenzo Fortunato , Andrea Vitturi

Scattering amplitudes involving three-particle scattering processes are investigated within the isobar approximation which respects constraints from two- and three-body unitarity. The particular system considered is the…

High Energy Physics - Phenomenology · Physics 2024-02-06 Xu Zhang

The Efimov effect in heteronuclear cold atomic systems is experimentally more easily accessible than the Efimov effect for identical atoms, because of the potentially smaller scaling factor. We focus on the case of two or three heavy…

Quantum Gases · Physics 2017-04-05 Christiane H. Schmickler , Hans-Werner Hammer , Emiko Hiyama

We first examine how T-matrix equivalence drives the flow of similarity renormalization group (SRG) evolved potential matrix elements to a universal form, with the ultimate goal of gaining insight into universality for three-nucleon forces.…

Nuclear Theory · Physics 2015-03-02 Brian Dainton

We study the zero-energy collision of three fermions, two of which are in the spin-down ($\downarrow$) state and one of which is in the spin-up ($\uparrow$) state. Assuming that the two-body and the three-body interactions have a finite…

Quantum Gases · Physics 2025-03-17 Jiansen Zhang , Zipeng Wang , Shina Tan

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

We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave approximation. If the state change of the…

Mathematical Physics · Physics 2025-02-10 Benjamin Hinrichs , Jonas Lampart , Javier Valentín Martín

We investigate the energy dependence of inelastic processes in systems which possess Efimov states. We consider the three-body recombination rate $K_3$ where three free atoms interact to produce an atom--dimer pair, and the relaxation rate…

Atomic Physics · Physics 2016-10-20 D. Shu , I. Simbotin , R. Côté

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

We present a method using Feynman-like diagrams to calculate the statistical properties of random many-body potentials. This method provides a promising alternative to existing techniques typically applied to this class of problems, such as…

Other Condensed Matter · Physics 2015-06-23 Rupert Small , Sebastian Müller

We show how to attach an external photon to a system of three strongly interacting nucleons described by three-body scattering equations. Our method involves the idea of gauging the scattering equations themselves, and results in…

Nuclear Theory · Physics 2007-05-23 A. N. Kvinikhidze , B. Blankleider

In this paper, the Schr\"odinger equation for 6-body system is studied. We solved this equation for lithium nucleus by using supersymmetry method with the specific potentials. These potentials are Yukawa potential, the generalized Yukawa…

Chemical Physics · Physics 2014-07-09 M. Ghazvini , N. Salehi , A. A. Rajabi
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