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We present a zero-range pseudopotential applicable for all partial wave interactions between neutral atoms. For p- and d-waves we derive effective pseudopotentials, which are useful for problems involving anisotropic external potentials.…

Quantum Physics · Physics 2009-11-11 Zbigniew Idziaszek , Tommaso Calarco

The phase shifts for the higher partial waves (l\ge 1) in the spin quartet and doublet channel of nd scattering at centre-of-mass energies up to 15 MeV are presented at next-to-leading and next-to-next-to-leading order in an effective field…

Nuclear Theory · Physics 2009-10-31 Fabrizio Gabbiani , Paulo F. Bedaque , Harald W. Griesshammer

Based on the Hamiltonian formalism approach, a generalized L\"uscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some…

High Energy Physics - Lattice · Physics 2013-08-09 Peng Guo , Jozef Dudek , Robert Edwards , Adam P. Szczepaniak

In this chapter we present a general method of constructing the effective equation which describes the behaviour of small-amplitude solutions for a nonlinear PDE in finite volume, provided that the linear part of the equation is a…

Mathematical Physics · Physics 2015-12-09 Sergei Kuksin , Alberto Maiocchi

Preliminary lattice QCD results for $D\pi$ scattering in isospin $I=\frac{1}{2}$ channel are presented. Utilizing the $N_f=2+1$ Wilson-Clover configuration at two volumes ($L^3 \times T=32^3 \times 96$ and $48^3 \times 96$) with the same…

High Energy Physics - Lattice · Physics 2023-12-05 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing

The scattering of $\gamma \pi \to \pi \pi$ is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Using the technique to derive the Roy's equation, an integral equation for the P-wave amplitude is obtained…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tran N. Truong

We calculate the electromagnetic corrections to the isospin invariant mixing angle and to the two eigenphases for the $s$-, $p_{1/2}$- and $p_{3/2}$-partial waves for $\pi^- p$ elastic and charge exchange scattering. These corrections have…

High Energy Physics - Phenomenology · Physics 2007-10-18 A. Gashi , E. Matsinos , G. C. Oades , G. Rasche , W. S. Woolcock

Rotating wave approximation in a quantum spin system driven by a linearly polarized alternating magnetic field with quadrupole interaction presents is investigated in detail in this paper. The conventional way to employ the rotating wave…

Quantum Physics · Physics 2020-10-16 Wenkui Ding , Xiaoguang Wang

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into…

Nuclear Theory · Physics 2025-02-24 A. Deltuva

We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 U. Kuhl , H. -J. Stoeckmann , R. Weaver

In the search for missing baryonic resonances, many analyses include data from a variety of pion- and photon-induced reactions. For elastic $\pi N$ scattering, however, usually the partial waves of the SAID or other groups are fitted,…

Nuclear Theory · Physics 2016-08-24 M. Döring , J. Revier , D. Rönchen , R. Workman

Electron-positron pair production is investigated in the multiphoton regime under polarized fields. Partial wave analysis can be applied to reveal the momentum spectral structure and identify the positions of valleys/peaks of the…

High Energy Physics - Phenomenology · Physics 2024-08-13 Hong-Hao Fan , Li-Na Hu , Suo Tang , Zi-Liang Li , Bai-Song Xie

Spherical Whittle--Mat\'ern Gaussian random fields are considered as solutions to fractional elliptic stochastic partial differential equations on the sphere. Approximation is done with surface finite elements. While the non-fractional part…

Numerical Analysis · Mathematics 2023-12-06 Erik Jansson , Mihály Kovács , Annika Lang

The phase shifts for the higher partial waves in the spin quartet and doublet channel of nd scattering are presented at next-to-leading and next-to-next-to-leading order in an effective field theory in which pions are integrated out. The…

Nuclear Theory · Physics 2017-08-23 F. Gabbiani

A wave propagating through a scattering medium typically yields a complex temporal field distribution. Over the years, a number of procedures have emerged to shape the temporal profile of the field in order to temporally focus its energy on…

Classical Physics · Physics 2023-02-27 Dorian Bouchet , Emmanuel Bossy

When a wave, such as sound or light, scatters within a densely packed particulate, it can be rescattered many times between the particles, which is called multiple scattering. Multiple scattering can be unavoidable when: trying to use sound…

Classical Physics · Physics 2023-08-28 K. K. Napal , P. S. Piva , A. L. Gower

The investigation into the scattering of plane waves by a periodic array of parallel cylinders utilizes the method of cylindrical wave decomposition, thereby reducing the problem complexity to a series of linear algebraic equations. This…

Optics · Physics 2024-06-21 A. S. Bereza , A. E. Chernyavsky , S. V. Perminov , D. A. Shapiro

Higgs Effective Field Theory (HEFT) is deployed to study elastic vector-boson scattering at the high LHC energies. The interaction is strong over most of the parameter space, with the minimal Standard Model being a remarkable exception.…

High Energy Physics - Phenomenology · Physics 2019-10-29 Antonio Dobado , Felipe J. Llanes-Estrada , Alexandre Salas-Bernardez , Rafael L. Delgado

Suggested by Au, Morgan, Pennington (AMP) S-wave isospin I=0 $\pi\pi$, $KK$ scattering amplitude is good enough to describe experimental data for the moment. Still it has two disadvantages for use in multiparticle partial wave analysis…

High Energy Physics - Phenomenology · Physics 2023-05-22 Igor Kachaev , IHEP

Wave scattering is considered in a medium in which many small particles are embedded. Equations for the effective field in the medium are derived when the number of particles tends to infinity.

Mathematical Physics · Physics 2009-11-13 A. G. Ramm