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Related papers: Benchmark calculations for elastic fermion-dimer s…

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Motivated by a recent experiment by ENS group on the mixture of Bose and Fermi superfluids (arxiv:1404.2548), we investigate the effective scattering between a bosonic atom and a molecule(dimer) of fermion atoms. It is found that the…

Quantum Gases · Physics 2014-10-30 Xiaoling Cui

The s-wave kaon-antikaon ($K \bar{K}$) elastic scattering length is investigated by lattice simulation using pion masses $m_\pi = 330 - 466$ MeV. Through moving wall sources without gauge fixing, we calculate $K \bar{K}$ four-point…

High Energy Physics - Lattice · Physics 2012-09-25 Ziwen Fu

In this paper we discuss the adiabatic projection method, a general framework for scattering and reaction calculations on the lattice. We also introduce several new techniques developed to study nucleus-nucleus scattering and reactions on…

Nuclear Theory · Physics 2016-07-20 Serdar Elhatisari , Dean Lee , Ulf-G. Meißner , Gautam Rupak

We consider fermion-dimer scattering in the presence of a large positive scattering length in the frame of functional renormalization group equations. A flow equation for the momentum dependent fermion-dimer scattering amplitude is derived…

Statistical Mechanics · Physics 2008-11-26 S. Diehl , H. C. Krahl , M. Scherer

We investigate universal behavior in elastic atom-dimer scattering below the dimer breakup threshold calculating the atom-dimer effective-range function $ak\cot\delta$. Using the He-He system as a reference, we solve the Schr\"odinger…

Quantum Gases · Physics 2013-06-10 A. Kievsky , M. Gattobigio

Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first report the two-body scattering amplitudes with Coulomb corrections, extended to two fermions of…

Nuclear Theory · Physics 2021-10-22 Gianluca Stellin

We analyze the uniform conductivity of a one dimensional degenerate fermion system placed in a random disorder potential so smooth that backward scattering can be neglected. We use the nonlinear Luttinger liquid model to consider effects of…

Strongly Correlated Electrons · Physics 2025-07-31 A. A. Dontsov , D. N. Aristov , A. P. Dmitriev

We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , Seth T. Rittenhouse , N. P. Mehta , Chris H. Greene

Within a formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolving scattering observables from lattice QCD spectra. We consider spectra in the centre-of-mass and moving frames for both…

High Energy Physics - Lattice · Physics 2016-06-22 Jia-Jun Wu , T. -S. Harry Lee , Derek B. Leinweber , A. W. Thomas , Ross D. Young

Using two flavors of maximally twisted mass fermions, we calculate the S-wave pion-pion scattering length in the isospin I=2 channel and the P-wave pion-pion scattering phase in the isospin I=1 channel. In the former channel, the lattice…

High Energy Physics - Lattice · Physics 2010-11-25 Xu Feng , Karl Jansen , Dru B. Renner

Faddeev calculations of low-energy $\Lambda$-deuteron elastic scattering are performed up to $E_{cm}=20$ MeV across the deuteron threshold. Phase shifts of the $s$-wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=-1$…

Nuclear Theory · Physics 2024-10-22 M. Kohno , H. Kamada

We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound…

Quantum Gases · Physics 2011-12-01 J. Levinsen , D. S. Petrov

The unitarity limit describes interacting particles where the range of the interaction is zero and the scattering length is infinite. We present precision benchmark calculations for two-component fermions at unitarity using three different…

Quantum Gases · Physics 2011-06-27 Shahin Bour , Xin Li , Dean Lee , Ulf-G. Meißner , Lubos Mitas

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with $m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume L\"uscher…

High Energy Physics - Lattice · Physics 2021-11-16 Colin Morningstar , John Bulava , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Amy Nicholson , Sarah Skinner , André Walker-Loud

I present the formalism and methodology for determining the nucleon-nucleon scattering parameters from the finite volume spectra obtained from lattice quantum chromodynamics calculations. Using the recently derived energy quantization…

High Energy Physics - Lattice · Physics 2013-11-07 Raul A. Briceno

We study cold dilute neutron matter on the lattice using an effective field theory. We work in the unitary limit in which the scattering length is much larger than the interparticle spacing. In this paper we focus on the equation of state…

Nuclear Theory · Physics 2009-11-11 Dean Lee , Thomas Schaefer

Although the ground-state energy of the Kitaev spin liquid can be calculated exactly, the associated vison gap energy has to date only been calculated numerically from finite size diagonalization. Here we show that the phase shift for…

Strongly Correlated Electrons · Physics 2024-07-12 Aaditya Panigrahi , Piers Coleman , Alexei Tsvelik

Neutrinoless double-beta ($0\nu\beta\beta$) decays provide an excellent probe for determining whether neutrinos are Dirac or Majorana fermions. The short-range matrix elements associated with the $\pi^- \to \pi^+ ee$ process contribute at…

The accuracy of the lattice QCD computation of hadron-hadron scattering at low isospin depends critically on the ability to compute correlation functions with fermionic disconnected Wick contractions. This happens, for instance, in isospin…

High Energy Physics - Lattice · Physics 2019-05-07 N. Ripunjay Acharya , Feng-Kun Guo , Ulf-G. Meißner , Chien-Yeah Seng

In a finite volume, resonances and multi-hadron states are identified by discrete energy levels. When comparing the results of lattice QCD calculations to scattering experiments, it is important to have a way of associating the energy…

High Energy Physics - Lattice · Physics 2015-03-20 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young