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The neutron and proton single-particle spectral functions in asymmetric nuclear matter fulfill energy weighted sum rules. The validity of these sum rules within the self-consistent Green's function approach is investigated. The various…

Nuclear Theory · Physics 2007-05-23 Arnau Rios , Artur Polls , Herbert Müther

Scattering in a model of a massive quantum-mechanical particle, an ``electron'', interacting with massless, relativistic bosons, ``photons'', is studied. The interaction term in the Hamiltonian of our model describes emission and absorption…

Mathematical Physics · Physics 2007-05-23 J. Froehlich , M. Griesemer , B. Schlein

We investigate sum-rules applying to the Raman intensity in a strongly correlated system close to the Mott transition. Quite generally, it can be shown that, provided the frequency integration is performed up to a cutoff smaller than the…

Strongly Correlated Electrons · Physics 2008-09-18 L. de' Medici , A. Georges , G. Kotliar

A new generation of experiments is expected to shed light on the elusive parton structure of the bound proton. One of the most promising directions is incoherent deeply virtual Compton scattering, which can provide a tomographic view of the…

Nuclear Theory · Physics 2020-04-15 Sara Fucini , Sergio Scopetta , Michele Viviani

In a recent Physical Review Letter, Kondo and Morimatsu present a QCD sum rule calculation of nucleon-nucleon scattering lengths. They also relate the empirical scattering lengths to the nucleon mass shift in nuclear matter to cast doubt on…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. J. Furnstahl , T. Hatsuda

This is the first of two papers in which we study real and virtual photon-proton scattering in a nonperturbative framework. We classify different contributions to this process and identify the leading contributions at high energies. We then…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Ewerz , Otto Nachtmann

We summarize results from our recent paper* on nucleon Compton scattering in the Dyson-Schwinger approach. We study the Compton scattering phase space and its various kinematic limits, and we introduce a covariant, transverse tensor basis…

High Energy Physics - Phenomenology · Physics 2013-01-09 Gernot Eichmann , Christian S. Fischer

Nuclear Compton scattering in the $\Delta$-resonance region is reconsidered within the framework of the $\Delta$-hole model. The different role of the resonant and non-resonant contributions to the transition amplitudes is discussed and…

Nuclear Theory · Physics 2009-10-28 B. Pasquini , S. Boffi

We derive a set of sum rules for the light-by-light scattering and fusion: $\gamma\gamma \to all$, and verify them in lowest order QED calculations. A prominent implication of these sum rules is the superconvergence of the…

High Energy Physics - Phenomenology · Physics 2010-12-02 Vladimir Pascalutsa , Marc Vanderhaeghen

A family of exact sum rules for the one-polaron spectral function in the low-density limit is derived. An algorithm to calculate energy moments of arbitrary order of the spectral function is presented. Explicit expressions are given for the…

Strongly Correlated Electrons · Physics 2009-11-07 P. E. Kornilovitch

We extend QCD sum rule analysis to moderate energy fixed angle Compton scattering. In this kinematic region there is a strong similarity to the sum rule treatment of electromagnetic form factors, although the four-point amplitude requires a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Anatoly Radyushkin , George Sterman

We derive and apply the finite energy sum rules to pion photoproduction. We evaluate the low energy part of the sum rules using several state-of-the-art models. We show how the differences in the low energy side of the sum rules might…

High Energy Physics - Phenomenology · Physics 2018-08-08 V. Mathieu , J. Nys , C. Fernandez-Ramirez , A. N. Hiller Blin , A. Jackura , A. Pilloni , A. P. Szczepaniak , G. Fox

A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

The process of photon splitting is investigated in the presence of strongly magnetized electron-positron plasma. The amplitude of the process is calculated in general case of plasma with nonzero chemical potential and temperature. The…

High Energy Physics - Phenomenology · Physics 2012-09-03 M. V. Chistyakov , D. A. Rumyantsev , N. S. Stus'

We generalize a forward light-by-light scattering sum rule to the case of heavy quarkonium radiative transitions. We apply such sum rule to the bottomonium states, and use available data on radiative transitions in its evaluation. For the…

High Energy Physics - Phenomenology · Physics 2020-11-25 Victor Ananyev , Igor Danilkin , Marc Vanderhaeghen

Based on the Kompaneets approximation, we develop a robust methodology to calculate spectral redistribution via inelastic neutrino-nucleon scattering in the context of core-collapse supernova simulations. The resulting equations conserve…

High Energy Astrophysical Phenomena · Physics 2021-08-26 Tianshu Wang , Adam Burrows

Nucleon generalized polarizabilities are investigated within a relativistic framework, defining such quantities through a Lorentz covariant multipole expansion of the amplitude for virtual Compton scattering. The key physical ingredients in…

Nuclear Theory · Physics 2016-09-08 B. Pasquini , G. Salme`

A brief review of Compton scattering off the deuteron in Chiral Effective Field Theory, including gauge invariance and the correct Thomson limit. We model-independently determine the iso-scalar, spin-independent dipole polarisabilities of…

Nuclear Theory · Physics 2017-08-23 Harald W. Griesshammer

We consider the two-point function of nucleon current in nuclear matter and write a QCD sum rule to analyse the residue of the nucleon pole as a function of nuclear density. The nucleon self-energy needed for the sum rule is taken as input…

High Energy Physics - Phenomenology · Physics 2015-05-13 S. Mallik , Sourav Sarkar
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