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Isospin-breaking corrections pose a significant challenge to lattice simulations, both because of the splitting between the up and down quark masses and, in particular, the need to include QED effects. The RC* collaboration has developed…

We study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the…

Quantum Gases · Physics 2015-06-05 Zheng-Wei Zhou , Shao-Liang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu

Recent progress of lattice QCD study of nuclear forces (potentials) is reviewed. Scattering phase shift is an important observable for two particle system. In lattice QCD, phase shifts are calculated from long distance behavior of…

High Energy Physics - Lattice · Physics 2015-03-14 Noriyoshi Ishii , for PACS-CS , HAL-QCD Collaboration

Including the meson-baryon (5 quark) intermediate states in a lattice simulation is challenging. However, it is important in order to obtain the correct energy eigenstates and to relate them to scattering phase shifts. Recent results for…

High Energy Physics - Lattice · Physics 2014-06-02 C. B. Lang , V. Verduci

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

We have previously studied properties of a one-dimensional potential with $N$ equally spaced identical barriers in a (fixed) finite interval for both finite and infinite $N$. It was observed that scattering and spectral properties depend…

Quantum Physics · Physics 2009-11-07 D. Bar , L. P. Horwitz

Scattering phase shift, as a key parameter in scattering theory, plays an important role in characterizing low-energy collisions between ultracold atoms. In this work, we theoretically investigate the universal low-energy behavior of the…

Quantum Gases · Physics 2022-05-25 Cai-Xia Zhang , Shi-Guo Peng

The mass shifts for two-fermion bound and scattering P-wave states subject to the long-range interactions due to QED in the non-relativistic regime are derived. Introducing a short range force coupling the spinless fermions to one unit of…

High Energy Physics - Lattice · Physics 2021-01-19 Gianluca Stellin , Ulf-G. Meißner

The spectrum of a system with multiple channels composed of two hadrons with nonzero total momentum is determined in a finite cubic volume with periodic boundary conditions using effective field theory methods. The results presented are…

High Energy Physics - Lattice · Physics 2013-11-27 Raul A. Briceno , Zohreh Davoudi

We show that QED nonlinear effects imply a phase correction to the linear evolution of electromagnetic waves in vacuum. We provide explicit solutions of the modified Maxwell's equations for the propagation of a superposition of two plane…

Optics · Physics 2009-11-13 Albert Ferrando , Humberto Michinel , Marcos Seco , Daniele Tommasini

We construct a simple two-phase equation of state intended to resemble that of compressed baryon-rich matter and then introduce a gradient term in the compressional energy density to take account of fintie-range effects in non-uniform…

Nuclear Theory · Physics 2009-06-30 Jorgen Randrup

The investigation of hadron interactions within lattice QCD has been facilitated by the well-known quantisation condition, linking scattering phase shifts to finite-volume energies. Additionally, the ability to utilise systems at finite…

High Energy Physics - Lattice · Physics 2024-04-26 Yan Li , Jia-Jun Wu , T. -S. H. Lee , R. D. Young

Resonant-exchange scattering plays a key role in many-body dynamics and transport phenomena (such as spin, charge, or excitation diffusion) at low and moderate temperatures. Recent investigations have shown that the locking of phase shifts…

Quantum Physics · Physics 2025-08-14 I. Simbotin , R. Côté

We present a derivation of the finite-size formulae in a moving frame with total momentum P=(2\pi/L)(e1+e2). These formulae allow us to calculate the S-wave and P-wave scattering phases at more energies with a fixed lattice size and thus…

High Energy Physics - Lattice · Physics 2011-04-04 Xu Feng , Karl Jansen , Dru B. Renner

We present a calculation of the scattering phase shift for the I=2 S-wave pion-pion system in the continuum limit with two-flavor full QCD. Calculations are made at three lattice spacings, using the finite volume method of L\"uscher in the…

We describe and implement twisted boundary conditions for the deuteron and triton systems within finite-volumes using the nuclear lattice EFT formalism. We investigate the finite-volume dependence of these systems with different twists…

Nuclear Theory · Physics 2016-05-25 Christopher Körber , Thomas Luu

We consider the three-boson problem with $\delta$-function interactions in one spatial dimension. Three different approaches are used to calculate the phase shifts, which we interpret in the context of the effective range expansion, for the…

Nuclear Theory · Physics 2009-11-11 Nirav P. Mehta , James R. Shepard

L\"uscher's method is routinely used to determine meson-meson, meson-baryon and baryon-baryon s-wave scattering amplitudes below inelastic thresholds from Lattice QCD calculations - presently at unphysical light-quark masses. In this work…

High Energy Physics - Lattice · Physics 2015-03-17 Thomas Luu , Martin J. Savage

We investigate the transport of baryon number across phase boundaries in a putative first order QCD-phase transition. Two independent phenomenological models are employed to estimate the baryon penetrability at the phase boundary:…

High Energy Physics - Phenomenology · Physics 2009-09-25 K. Jedamzik , G. M. Fuller

We investigate the transport of baryon number across phase boundaries in a putative first order QCD-phase transition. Two independent phenomenological models are employed to estimate the baryon penetrability at the phase boundary:…

Astrophysics · Physics 2009-10-22 K. Jedamzik , G. M. Fuller