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The polarizabilities $\alpha$ (electric), $\beta$ (magnetic) and $\gamma_\pi$ (backward spin) of the nucleon are investigated in terms of degrees of freedom of the nucleon using recent results for the CGLN amplitudes and resonance couplings…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher

The structure of the $\sigma$ meson and the diamagnetism of the nucleon are shown to be topics which are closely related to each other. Arguments are found that the $\sigma$ meson couples to two photons via its non-strange $q\bar{q}$…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. I. Levchuk , A. I. L'vov , A. I. Milstein , M. Schumacher

The $t$-channel contribution to the difference of electromagnetic polarizabilities of the nucleon, $(\alpha-\beta)^t$, can be quantitatively understood in terms of a $\sigma$-meson pole in the complex $t$-plane of the invariant scattering…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher

Spin-polarizabilities are predicted by calculating the cross-section difference $\sigma_{3/2}-\sigma_{1/2}$ from available data for the resonance couplings $A_{3/2}$ and $A_{1/2}$ and CGLN amplitudes. The forward spin-polarizabilities are…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher , M. I. Levchuk

The status of the experimental and theoretical investigations on the polarizabilities of the nucleon is presented. This includes a confirmation of the validity of the previously introduced recommended values of the polarizabilities [1,2].…

High Energy Physics - Phenomenology · Physics 2019-11-15 Martin Schumacher

The signs and values of the two-photon couplings $F_{M\gamma\gamma}$ of mesons $(M)$ and their couplings $g_{MNN}$ to the nucleon as entering into the $t$-channel parts of the difference of the electromagnetic polarizabilities…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher

It is shown that the scalar mesons $\sigma$, $f_0(980)$ and $a_0(980)$ as $t$-channel exchanges quantitatively solve the problem of diamagnetism and give an explanation of the large missing part of the electric polarizability $\alpha$…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher

The dependence of the nucleon polarization in the reaction $e^+ + e^- \to N + \bar{N} +\pi^0 $ over different invariant variables in frame of the non-resonant mechanism, has been derived. The nucleon polarization is expressed in terms of…

High Energy Physics - Phenomenology · Physics 2022-11-15 G. I. Gakh , M. I. Konchatnij , N. P. Merenkov , E. Tomasi-Gustafsson

A status report on the topic Compton scattering and polarizabilities is presented with emphasis on the scalar t-channel as entering into dispersion theory. Precise values for the polarizabilities are obtained leading to $\alpha_p = 12.0\pm…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher , Michael D. Scadron

Differential cross sections for elastic scattering of photons have been measured for $^{40}$Ca at energies of 58 and 74 MeV and for $^{16}$O and $^4$He at 61 MeV, in the angular range from 45$^o$ to 150$^o$. Evidence is obtained that there…

In this thesis the polarized and unpolarized photon distributions of the nucleon (proton, neutron) $(\Delta)\gamma^N$, evaluated in the equivalent photon approximation (EPA), are computed theoretically and the possibility of their…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cristian Pisano

We calculate the nucleons' electromagnetic polarizabilities in heavy baryon chiral perturbation theory including all terms to order ${\cal O} (q^4)$. The chiral prediction of the electric polarizabilities for the neutron and the proton are…

High Energy Physics - Phenomenology · Physics 2016-08-14 Véronique Bernard , Norbert Kaiser , Armin Schmidt , Ulf-G. Meißner

The nucleon polarizabilities alpha(E) and beta(M) are studied in the context of the perturbative chiral quark model. We demonstrate that meson cloud effects are sufficient to explain the electric polarizability of nucleon. Contributions of…

High Energy Physics - Phenomenology · Physics 2009-07-09 Y. Dong , Amand Faessler , Th. Gutsche , J. Kuckei , V. E. Lyubovitskij , K. Pumsa-ard , P. Shen

We update the determination of the isovector nucleon electromagnetic self-energy, valid to leading order in QED. A technical oversight in the literature concerning the elastic contribution to Cottingham's formula is corrected and modern…

Nuclear Theory · Physics 2012-06-08 Andre Walker-Loud , Carl E. Carlson , Gerald A. Miller

We study the electromagnetic contribution to the proton-neutron mass splitting by combining lattice simulations and the modified Cottingham sum rule of Walker-Loud, Carlson and Miller. This analysis yields an estimate of the isovector…

Nuclear Theory · Physics 2015-03-05 A. W. Thomas , X. G. Wang , R. D. Young

The diquark model is used to calculate the electromagnetic polarizabilities and charge radii of the nucleons for three different potentials. Making the scalar diquark lower in mass introduces a mixing angle $\theta $ between the $\left|…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Liebl , Gary R. Goldstein

A fit of the experimental data to the total cross section of the process $\gamma\gamma->\pi^+\pi^-$ in the energy region from threshold to 2500 MeV has been carried out using dispersion relations with subtractions for the invariant…

Nuclear Theory · Physics 2011-07-19 L. V. Fil'kov , V. L. Kashevarov

We carry out the semi--model analysis of existing data on the angular distributions of the $\gamma\gamma\rightarrow\pi^+ \pi^- ,\ \pi^0 \pi^0$ reactions with purpose to obtain S-wave cross section and D-wave's parameters. In the first time…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Kaloshin , V. M. Persikov , V. V. Serebryakov

Electromagnetic dipole polarizabilities are fundamental properties of a hadron that represent its resistance to deformation under external fields. For a charged hadron, the presence of acceleration and Landau levels complicates the…

High Energy Physics - Lattice · Physics 2023-09-27 Frank X. Lee , Walter Wilcox , Andrei Alexandru , Chris Culver

Recent chiral EFT calculations of nucleon polarizabilities reveal a problem in the current empirical determination of proton's electromagnetic polarizabilities. We also report on the progress in the empirical determination of the…

Nuclear Theory · Physics 2015-05-20 Vladimir Pascalutsa
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