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We investigate the soft behavior of the tree-level Rutherford scattering process. We consider two types of Rutherford scattering, a low-energy massless point-like projectile (say, a spin-${1\over 2}$ or spin-$0$ electron) to hit a static…

High Energy Physics - Phenomenology · Physics 2023-04-03 Yu Jia , Jia-Yue Zhang

Collisions of two fermionic dimers near the unitary limit are studied using exact four-particle equations for transition operators in momentum space. Universal properties of dimer-dimer phase shifts and effective range expansion (ERE)…

Quantum Gases · Physics 2017-08-09 A. Deltuva

Exciting experiments in the field of atom and molecule optics have lately drawn much attention to the effects involved in the coherent diffraction of particle beams. We review the influence of the finite size of the particles and of their…

Quantum Physics · Physics 2007-05-23 Martin Stoll , Thorsten Koehler , Gerhard C. Hegerfeldt

Collective oscillations of superfluid mixtures of ultra cold fermionic and bosonic atoms are investigated while varying the fermion-boson scattering length. We study the dynamics with respect to excited center of mass modes and breathing…

Quantum Gases · Physics 2019-03-22 F. Kh. Abdullaev , M. Ogren , M. P. Soerensen

We study high-energy scattering at fixed angle in the planar limit of non-Abelian gauge field theories from type IIB superstring theory scattering amplitudes. Firstly, we consider four-glueball scattering described in terms of the…

High Energy Physics - Theory · Physics 2024-12-12 Lucas Martin , Martin Parlanti , Martin Schvellinger

In this paper the scattering of fermions by a class of Bardeen black holes is investigated. After obtaining the scattering modes by solving the Dirac equation in this geometry, we use the partial wave method to derive an analytical…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Ciprian A. Sporea

The Wigner-Smith time-delay of flux conserving systems is a real quantity that measures how long an excitation resides in an interaction region. The complex generalization of time-delay to non-Hermitian systems is still under development,…

Chaotic Dynamics · Physics 2025-04-14 Nadav Shaibe , Jared M. Erb , Steven M. Anlage

This thesis presents theoretical work in s- and p-wave resonantly paired Fermi gases at zero temperature. In the BEC regime of the wide-resonance s-wave BCS-BEC crossover, the chemical potential, speed of sound, condensate depletion, and…

Superconductivity · Physics 2008-07-18 Jesper Levinsen

We review the theory of interacting Fermi systems whose low-energy physics is governed by forward scattering, i.e. scattering processes generated by effective interactions with small momentum transfers. These systems include Fermi liquids…

Condensed Matter · Physics 2007-05-23 W. Metzner , C. Castellani , C. Di Castro

At the location of a magnetic-field Feshbach resonance, a mixture gas of fermionic atoms and dimers of fermionic atom pairs is investigated in the unitarity limit where the absolute value of the scattering length is much larger than the…

Soft Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

It is usually assumed that dark matter direct detection is sensitive to a large fraction of the dark matter (DM) velocity distribution. We propose an alternative form of dark matter-nucleus scattering which only probes a narrow range of DM…

High Energy Physics - Phenomenology · Physics 2009-11-13 Yang Bai , Patrick J. Fox

A mixture of heavy atoms in a Mott state and light spin-1/2 fermionic atoms is studied in an optical lattice. Inelastic scattering processes between both atomic species excite the heavy atoms and renormalize the tunneling rate as well as…

Statistical Mechanics · Physics 2008-03-30 K. Ziegler

We discuss the behavior of weakly bound bosonic dimers formed in a cold Fermi gas at a large positive scattering length $a$ for the interspecies interaction. We find the exact solution for the dimer-dimer elastic scattering and obtain a…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

Scattering of light by the photonic clusters made of small particles is studied with the help of the quasiperiodicity condition and the local perturbation method. The analytical expression for the field scattered by the cluster is presented…

Optics · Physics 2015-05-14 V. V. Prosentsov

The atom-dimer and dimer-dimer scattering lengths are analytically calculated in an expansion around four spatial dimensions for fermions with a large 2-body scattering length 'a'. We find the atom-dimer scattering length a_ad/a = 4/3-2/9…

Nuclear Theory · Physics 2007-05-23 Gautam Rupak

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density…

Nuclear Theory · Physics 2009-02-05 Anirban Bhattacharyya , T. Papenbrock

We consider time-harmonic electromagnetic scattering by a cluster of hybrid dielectric-plasmonic dimers in $\mathbb{R}^3$. Each dimer consists of a high-contrast dielectric nanoparticle and a moderately contrasting plasmonic nanoparticle…

Analysis of PDEs · Mathematics 2026-01-14 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

The generator coordinate method of a microscopic cluster model is developed to treat the resonance and scattering of nuclear clusters with complex scaling. We consistently derive the formulation of the complex scaling for the microscopic…

Nuclear Theory · Physics 2023-06-19 Takayuki Myo , Hiroki Takemoto

We investigate the pairing and crystalline instabilities of bosonic and fermionic polar molecules confined to a ladder geometry. By means of analytical and quasi-exact numerical techniques, we show that gases of composite molecular dimers…

Quantum Gases · Physics 2015-03-19 M. Dalmonte , P. Zoller , G. Pupillo

This review focuses on numerical approaches to deducing the light-scattering and thermal-emission properties of primitive dust particles in planetary systems from astronomical observations. The particles are agglomerates of small grains…

Earth and Planetary Astrophysics · Physics 2016-03-14 Hiroshi Kimura , Ludmilla Kolokolova , Aigen Li , Jérémy Lebreton