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There has been much progress in the experimental measurement of the electric and magnetic polarizabilities of the nucleon. Similarly, lattice QCD simulations have recently produced dynamical QCD results for the magnetic polarizability of…

High Energy Physics - Lattice · Physics 2015-02-23 J. M. M. Hall , D. B. Leinweber , R. D. Young

Considering the magnetic moment and polarizabilities of the nucleon we emphasize the need for relativistic chiral EFT calculations. Our relativistic calculations are done via the forward-Compton-scattering sum rules, thus ensuring the…

Nuclear Theory · Physics 2014-11-18 Vladimir Pascalutsa

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

The excess mass of the neutron over the proton arises from two sources within the Standard Model, electromagnetism and the splitting of the down and up quark masses. The Cottingham Formula provides a means of determining the QED corrections…

Nuclear Theory · Physics 2019-07-15 Andre Walker-Loud

The process of Compton scattering $\gamma e^{\pm} \to \gamma e^{\pm}$ in a strongly magnetized medium of arbitrary temperature and zeroth chemical potential was considered. The analytical expressions for the partial cross section in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. V. Chistyakov , D. A. Rumyantsev

We analyze the quark-mass dependence of electromagnetic properties of two and three-nucleon states. To that end, we apply the pionless effective field theory to experimental data and numerical lattice calculations which simulate QCD at pion…

Nuclear Theory · Physics 2017-08-09 Johannes Kirscher , Ehoud Pazy , Jonathan Drachman , Nir Barnea

Coulomb and mass difference corrections to low-energy pion-nucleon scattering are calculated and compared with previous work including potential models, dispersion relation methods and chiral perturbation theory calculations. Particular…

Nuclear Theory · Physics 2011-08-17 W. R. Gibbs , R. Arceo

Using the Cottingham formula, we give an estimate of the electromagnetic mass splitting of pseudoscalar heavy mesons in the beauty and charm sector. We include in the dispersion relation the Born term, the $1^-$ resonance and the positive…

High Energy Physics - Phenomenology · Physics 2011-01-27 P. Colangelo , M. Ladisa , G. Nardulli , T. N. Pham

The nuclear electric polarizability is theoretically analyzed using a sum rule derived from the longitudinal part of the forward Compton amplitude. Beyond the leading dipole contribution, this approach leads to the presence of…

Nuclear Theory · Physics 2009-10-31 J. Bernabeu , D. Gomez Dumm , G. Orlandini

Electromagnetic effects in the leptonic decay rates $\pi^+ \to \mu^+ \nu$ and $K^+ \to \mu^+ \nu$ are evaluated for the first time on the lattice. Following a method recently proposed in Ref. [1] the emission of virtual photons at leading…

High Energy Physics - Lattice · Physics 2016-11-01 V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo , C. Tarantino

We present results for the electromagnetic form factors of the proton and neutron computed on the $(2 + 1)$-flavor Coordinated Lattice Simulations (CLS) ensembles including both quark-connected and -disconnected contributions. The $Q^2$-,…

High Energy Physics - Lattice · Physics 2024-05-24 Miguel Salg , Dalibor Djukanovic , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

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

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

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

We compute the electromagnetic corrections to neutron beta decay using a low-energy hadronic effective field theory. We identify and compute new radiative corrections arising from virtual pions that were missed in previous studies. The…

The electric polarizability of the nucleon is calculated in the soliton approach to the Nambu--Jona-Lasinio model. We analyze the leading-$N_c$ contributions, as well as the effects of rotational $1/N_c$ corrections and $\Delta$-$N$ mass…

High Energy Physics - Phenomenology · Physics 2009-10-22 E. Nikolov , W. Broniowski , K. Goeke

We present a fit of the spin-independent electromagnetic polarisabilities of the proton to low-energy Compton scattering data in the framework of covariant baryon chiral effective field theory. Using the Baldin sum rule to constrain their…

Nuclear Theory · Physics 2014-03-19 Vadim Lensky , Judith A. McGovern

We perform a relativistic chiral effective-field theory calculation of the pion electroproduction off the nucleon ($e^- N \to e^- N \pi$) in the Delta(1232)-resonance region. After fixing the three low-energy constants, corresponding to the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Vladimir Pascalutsa , Marc Vanderhaeghen

An analytic calculation of the differential cross section for elastic Compton scattering on the deuteron at photon energies \omega in the range of 25-50 MeV is presented to next-to-next-to-leading order, i.e. to an accuracy of \sim 3%. The…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer , Gautam Rupak

We calculate the nucleon electric dipole moment (EDM) from the $\theta$ term with overlap fermions on three domain wall lattices with different sea pion masses at lattice spacing 0.11 fm. Due to the chiral symmetry conserved by the overlap…

High Energy Physics - Lattice · Physics 2023-01-12 Jian Liang , Andrei Alexandru , Terrence Draper , Keh-Fei Liu , Bigeng Wang , Gen Wang , Yi-Bo Yang