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A new technique has been developed to calculate scattering of spin-1/2 and spin-0 particles. The so called momentum-helicity basis states are constructed from the helicity and the momentum states, which are not expanded in the angular…

Nuclear Theory · Physics 2015-05-18 I. Abdulrahman , I. Fachruddin

Scattering of a spin-1/2 particle off a spin-0 target is formulated based on a simple three-dimensional momentum-spin basis. The azimuthal behaviour of both the potential and the T-matrix elements leads to a set of integral equations for…

Nuclear Theory · Physics 2015-06-04 Imam Fachruddin , Agus Salam

Scattering of two spinless charge particles for simple forces including coulomb admixtures is calculated without partial wave decomposition. The coulomb interaction being taken is of the type of screened coulomb potential. For the forces…

Nuclear Theory · Physics 2015-06-04 Fahmi Maulida , Imam Fachruddin

We determine two-particle scattering phase shifts and mixing angles for quantum theories defined with lattice regularization. The method is suitable for any nonrelativistic effective theory of point particles on the lattice. In the…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for $2\to2$ scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as…

High Energy Physics - Theory · Physics 2023-11-07 Ilija Buric , Francesco Russo , Alessandro Vichi

The description of particles with spin can be attained by using a spin density matrix in high energy reaction. In this paper we present a parametrization of the spin density matrix for spin -3/2 particles in the Cartesian form. Comparing…

High Energy Physics - Phenomenology · Physics 2020-05-05 Jiao Jiao Song , Wan Ling Chang

Operators for simulating the scattering of two particles with spin are constructed. Three methods are shown to give the consistent lattice operators for PN, PV, VN and NN scattering, where P, V and N denote pseudoscalar meson, vector meson…

High Energy Physics - Lattice · Physics 2016-10-05 S. Prelovsek , U. Skerbis , C. B. Lang

We construct operators for simulating the scattering of two hadrons with spin on the lattice. Three methods are shown to give the consistent operators for PN, PV, VN and NN scattering, where P, V and N denote pseudoscalar, vector and…

High Energy Physics - Lattice · Physics 2017-02-08 S. Prelovsek , U. Skerbis , C. B. Lang

An introduction to spin techniques in particle physics is given. Among the topics covered are: helicity formalism and its applications to the decay and scattering of spin-1/2 and spin-1 particles, techniques for evaluating helicity…

High Energy Physics - Phenomenology · Physics 2009-09-25 Howard E. Haber

Partial-wave operators for lattice QCD are developed in order to facilitate the identification of the spins of two-hadron scattering states corresponding to zero total momentum. Taking the periodic boundary conditions for lattice states…

High Energy Physics - Lattice · Physics 2015-09-09 Stephen J. Wallace

We propose a microscopic description for the polarization from the first principle through the spin-orbit coupling in particle collisions. The model is different from previous ones based on local equilibrium assumptions for the spin degree…

Nuclear Theory · Physics 2019-12-11 Jun-jie Zhang , Ren-hong Fang , Qun Wang , Xin-Nian Wang

We present the analytical expressions for the differential cross sections and independent partial amplitudes for elastic scattering of nuclear particles for channels with a spin value of 1/2, 1, 3/2, 2 and 5/2. The independent partial…

Nuclear Theory · Physics 2020-05-12 A. S. Tkachenko , R. Ya. Kezerashvili , N. A. Burkova , S. B. Dubovichenko

Most hadronic particles are resonances: for example, the rho meson appears as a resonance in the elastic scattering of two pions. A method by Luescher enables one to measure the properties of the resonance particles from finite lattices. We…

High Energy Physics - Lattice · Physics 2009-10-28 Steven Gottlieb , K. Rummukainen

The angular momentum (partial wave) reduction of the Lippmann--Schwinger equation describing the interaction of two spin 1/2 particles is extended to the case in which the spin singlet and triplet states are coupled. A straight forward…

Nuclear Theory · Physics 2009-09-25 T. Mefford , R. H. Landau

We calculate the single-spin and double-spin asymmetry differential cross sections for the polarized hadron scattering $PP \to l^+ l^- + jet$ up to $O(\alpha_s)$ by the helicity amplitude method. Numerical results of the differential cross…

High Energy Physics - Phenomenology · Physics 2016-09-06 Yaw-Hwang Chen , Su-Long Nyeo , Chung-Yi Wu

To determine the state of spin polarization of the 3D electron gas at very low densities and zero temperature, we calculate the energy versus spin polarization using Diffusion Quantum Monte Carlo methods with backflow wavefunctions and…

Strongly Correlated Electrons · Physics 2009-11-07 F. H. Zong , C. Lin , D. M. Ceperley

We describe a new implementation of magnetic collider for investigating cold collisions between ultracold atomic clouds in different spin states, and we use this to investigate scattering involving both even and odd order partial waves. Our…

Other Condensed Matter · Physics 2007-05-23 Angela S. Mellish , Niels Kjaergaard , Paul S. Julienne , Andrew C. Wilson

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

Previous work developed a K-matrix formalism applicable to positive energies for the scattering between two $s$-wave interacting particles with two internal states, isotropic spin-orbit coupling and vanishing center-of-mass momentum [H.…

Quantum Gases · Physics 2016-08-23 Q. Guan , D. Blume

Nature creates electrons with two values of the spin projection quantum number. In certain applications, it is important to filter electrons with one spin projection from the rest. Such filtering is not trivial, since spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2020-10-13 Areg Ghazaryan , Mikhail Lemeshko , Artem G. Volosniev
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