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Many approaches to nucleon-nucleus elastic and inelastic scattering are based on the use of the free-space nucleon-nucleon transition amplitude. In calculations where the full spin-dependence of this amplitude is needed, its use is more…

Nuclear Theory · Physics 2009-11-07 R. Crespo , A. M. Moro

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

Scattering of 2 particles of spin 0 and 1/2 is evaluated based on a basis constructed from the momentum and the helicity states (the momentum-helicity basis). This shortly called three-dimensional (3D) technique is a good alternative to the…

Nuclear Theory · Physics 2007-12-10 I. Fachruddin , I. Abdulrahman

Flux-integrated semiexclusive differential cross sections for charged-current quasielastic and neutral-current elastic neutrino scattering on argon are analyzed. The cross sections are calculated using the relativistic distorted-wave…

High Energy Physics - Phenomenology · Physics 2023-04-19 A. V. Butkevich

A covariant method is proposed for calculating the amplitudes of processes involving polarized spin 1/2 particles. It is suitable for calculating the interference terms in the cross sections of such processes. As an illustration,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander L. Bondarev

We present a bound on the imaginary part of the single helicity-flip amplitude for spin 1/2-spin 1/2 scattering at small momentum transfer. The variational method of Lagrange multipliers is employed to optimize the single-flip amplitude…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. T. Bates , N. H. Buttimore

The differential cross sections for low-energy muonic hydrogen atom scattering from hydrogenic molecules are directly expressed by the corresponding amplitudes for muonic atom scattering from hydrogen-isotope nuclei. The energy and angular…

Atomic Physics · Physics 2018-03-09 Andrzej Adamczak

At leading order in weak and electromagnetic couplings, cross sections for (anti)neutrino-nucleon elastic scattering are determined by four nucleon form factors that depend on the momentum transfer $Q^2$. Including radiative corrections in…

High Energy Physics - Phenomenology · Physics 2024-03-08 Kaushik Borah , Minerba Betancourt , Richard J. Hill , Thomas Junk , Oleksandr Tomalak

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 differential cross section for proton-proton elastic scattering has been measured at a beam energy of 1.0 GeV and in 200 MeV steps from 1.6 to 2.8 GeV for centre-of-mass angles in the range from 12-16 degrees to 25-30 degrees, depending…

In this paper, we propose a method to construct the decay amplitudes in the orbital ($L$) and spin ($S$) coupling scheme for particles with arbitrary spins. For the $1\to 2$ decay with only massive particles involved, the angular dependence…

High Energy Physics - Phenomenology · Physics 2023-09-14 Xiao-yu Li , Xiang-Kun Dong , Hao-Jie Jing

Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-$1/2$ particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series…

High Energy Physics - Theory · Physics 2021-03-31 Rafael Aoude , Kays Haddad , Andreas Helset

The differential cross-sections are calculated for proton-proton and proton-antiproton elastic scattering using the phenomenological model based on the analytic parameterizations for global scattering parameters (total cross-section and…

High Energy Physics - Phenomenology · Physics 2007-11-15 V. A. Okorokov , S. B. Nurushev

In this paper, we present an improved parameterization of the elastic scattering of spin-0 particles, which is based on a dispersive representation for the inverse scattering amplitude. Besides being based on well known general principles,…

High Energy Physics - Phenomenology · Physics 2023-05-03 Igor Danilkin , Volodymyr Biloshytskyi , Xiu-Lei Ren , Marc Vanderhaeghen

A computer program is presented which calculates the elastic and inelastic scattering in intermediate and high energy nuclear collisions. A coupled-channels method is used for Coulomb and nuclear excitations of E1, E2, E3, M1, and M2…

Nuclear Theory · Physics 2014-11-18 C. A. Bertulani , C. M. Campbell , T. Glasmacher

We propose analytical forms, in both momentum transfer and impact parameter spaces, for the amplitudes of elastic pp scattering, giving coherent and accurate description of the observables at all energies $\sqrt{s}\geq 20$ GeV. The real and…

High Energy Physics - Experiment · Physics 2013-10-15 A. K. Kohara , E. Ferreira , T. Kodama

The deuteron-proton elastic scattering is studied in the multiple scattering expansion formalism. The contributions of the one-nucleon-exchange, single- and double scattering are taken into account. The Love and Franey parameterization of…

Nuclear Theory · Physics 2009-11-05 N. B. Ladygina

A parameterization of the nucleon-nucleon elastic scattering amplitude is needed for future experiments with nucleon and nuclear beams in the beam momentum range of 2 -- 50 GeV/c/nucleon. There are many parameterizations of the amplitude at…

High Energy Physics - Phenomenology · Physics 2016-12-21 V. Uzhinsky , A. Galoyan , Q. Hu , J. Ritman , H. Xu

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

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
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