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A forward dispersion calculation is implemented for the spin polarizabilities $\gamma_1, ... ,\gamma_4$ of the proton and the neutron. These polarizabilities are related to the spin structure of the nucleon at low energies and are…

核理论 · 物理学 2009-10-30 D. Drechsel , G. Krein , O. Hanstein

We show that a suitable setting for comparison of the low-energy representation for pion-pion scattering amplitudes, with dispersive representation for these amplitudes, is provided by certain manifestly crossing symmetric dispersion…

高能物理 - 唯象学 · 物理学 2009-08-27 B. Ananthanarayan

Dispersion relations---a corollary of unitarity and analyticity---are among the few methods which can be employed to study low energy processes in QCD. In this work we critically revisit the calculation of decay widths of a hypothetical…

高能物理 - 唯象学 · 物理学 2018-12-20 F. Bezrukov , D. Gorbunov , I. Timiryasov

We have reviewed the current status of the inclusive neutrino scattering from $^{12}$C in the low energy region corresponding to the neutrino beams from the pion, muon and kaon decaying at rest. The theoretical calculations of total cross…

高能物理 - 唯象学 · 物理学 2021-04-27 M. Sajjad Athar , S. K. Singh

An analysis of the data on forward $pp, \bar pp, \pi^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron…

高能物理 - 唯象学 · 物理学 2012-02-08 A. Alkin , J. R. Cudell , E. Martynov

Dispersion relations are nonperturbative formulas that relate the ultraviolet and infrared behavior of an observable with wide-ranging applications applications in linear response theory, quantum field theory scattering amplitudes, and…

高能物理 - 理论 · 物理学 2025-11-19 Dean Carmi , Javier Moreno , Shimon Sukholuski

We report measurements of phonon dispersion in CaC$_6$ using inelastic X-ray and neutron scattering. We find good overall agreement, particularly in the 50 meV energy region, between experimental data and first-principles…

Dispersive approaches provide model independent description of meson-meson scattering. We first review here the use of dispersion relations to obtain a model independent unitarization of Chiral Perturbation Theory amplitudes, that establish…

高能物理 - 唯象学 · 物理学 2008-11-26 J. R. Pelaez

The influence of dispersion on the differential scattering cross section in the vicinity of the first diffraction minimum is revisited for collision energies between 200 and 450 MeV. Transient nuclear excitations in the giant resonance…

核理论 · 物理学 2026-03-12 D. H. Jakubassa-Amundsen

The kaon energy in neutron matter is calculated analytically with the Klein-Gordon equation, by making a Wigner-Seitz cell approximation and employing a $K^-N$ square well potential. The transition from the low density Lenz potential,…

核理论 · 物理学 2009-10-31 J. Carlson , H. Heiselberg , V. R. Pandharipande

We review our recent analysis of $\pi K$ scattering data in terms of forward dispersion relations, and also present the parameters of the strange resonances. This work consists of fits to the data that are constrained to satisfy analyticity…

高能物理 - 唯象学 · 物理学 2016-07-14 A. Rodas , J. R. Peláez

Recent experimental results on the proton and neutron polarizabilities are examined from the point of view of backward dispersion relations. Results are found to be in reasonable agreement with the measured values. A rigorous relationship…

高能物理 - 唯象学 · 物理学 2011-07-19 Barry R. Holstein , A. M. Nathan

The forward Compton scattering amplitude for carbon and lead have been calculated from total photoabsorption cross section data by using dispersion relations. The results show a large difference between the scattering amplitudes for nuclei…

核理论 · 物理学 2022-03-02 A. Deppman , N. Bianchi , E. De Sanctis , M. Mirazita , V. Muccifora , P. Rossi

We review our analysis of $\pi K$ scattering using forward dispersion relations. The method yields a set of simple parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. Once…

高能物理 - 唯象学 · 物理学 2017-07-17 A. Rodas

We provide a dispersion-theoretical representation of the reaction amplitudes $\gamma K\to K \pi$ in all charge channels, based on modern pion-kaon $P$-wave phase shift input. Crossed-channel singularities are fixed from phenomenology as…

高能物理 - 唯象学 · 物理学 2021-03-10 Maximilian Dax , Dominik Stamen , Bastian Kubis

We establish the framework for the comparison of $\pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with…

高能物理 - 唯象学 · 物理学 2009-01-07 B. Ananthanarayan , P. Büttiker

We discuss some analytical and numerical aspects related to the replacement of integral dispersion relations by derivative relations and also the practical applicability of the derivative approach in the investigation of high-energy elastic…

高能物理 - 唯象学 · 物理学 2007-05-23 R. F. Avila , M. J. Menon

We describe two recent developments of the radiative correction theory in semileptonic beta decays. For neutron, a novel dispersive analysis of the $\gamma W$-box diagram making use of neutrino scattering data leads to an improved precision…

高能物理 - 唯象学 · 物理学 2022-04-15 Chien-Yeah Seng

The polarizabilities of light pseudoscalar mesons can be extracted from differential cross sections for Compton scattering near threshold. While this has been accomplished for charged pions employing Primakoff reactions, a corresponding…

高能物理 - 唯象学 · 物理学 2024-12-11 Dominik Stamen , Jan Luca Dammann , Yannis Korte , Bastian Kubis

We examine the $^{12}$C+$^{12}$C elastic scattering over a wide energy range from 32.0 to 70.7 MeV in the laboratory system within the framework of the Optical model and the Coupled-Channels formalism. The $^{12}$C+$^{12}$C system has been…

核理论 · 物理学 2010-11-11 Y. Kucuk , I. Boztosun
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