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We address novel features of deep inelastic lepton scattering on nuclei at small Bjorken variable $x_{Bj}$. In this regime the lepton-nuclear cross section involves the interference between the standard lepton-quark scattering amplitude for…

High Energy Physics - Phenomenology · Physics 2021-12-07 Stanley J. Brodsky , Valery E. Lyubovitskij , Ivan Schmidt

After a historical review, I present the progress in the field of realistic NN potentials that we have seen in recent years. A new generation of very quantitative (high-quality/high-precision) NN potentials has emerged. These potentials…

Nuclear Theory · Physics 2009-10-31 R. Machleidt

We establish a set of exact sum rules that relate the interatomic force constants to the frequency-dependent electromagnetic susceptibility of a solid or molecule, thereby generalizing the long-established principles of rototranslational…

Materials Science · Physics 2026-05-14 Massimiliano Stengel , Miquel Royo , Emilio Artacho

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

Sum rules have played an important role in the development of many branches of physics since the earliest days of quantum mechanics. We present examples of one-dimensional quantum mechanical sum rules and apply them in two familiar systems,…

Quantum Physics · Physics 2009-11-13 M. Belloni , R. W. Robinett

The Adler sum rule states that the integral over energy of a difference of neutrino-nucleon and antineutrino-nucleon structure functions is a constant, independent of the four-momentum transfer squared. This constancy is a consequence of…

High Energy Physics - Phenomenology · Physics 2009-06-01 Stephen L. Adler

The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the…

Nuclear Theory · Physics 2015-06-18 Hiroyuki Sagawa , Gianluca Colò

Sum rules for the energy levels of a hyperfine multiplet in a constant uniform magnetic field is presented. It is found that for any values of the electron angular moment and the nuclear spin there are certain linear combinations of energy…

Atomic Physics · Physics 2014-11-04 Savely G. Karshenboim

In this talk, I will concentrate on $Q^2$-dependence of deep inelastic sum rules. I will first give a modern definition of deep-inelastic sum rules and then discuss physical origins of their scaling violation at finite $Q^2$. Following…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

The momentum conservation sum rule for deep inelastic scattering (DIS) from composite particles is investigated using the general theory of relativity. For two 1+1 dimensional examples, it shown that covariant theories automatically satisy…

Nuclear Theory · Physics 2014-11-18 Zoltan Batiz , Franz Gross

In light of the forthcoming high precision quasielastic electron scattering data from Jefferson Lab, it is timely for the various approaches to nuclear structure to make robust predictions for the associated response functions. With this in…

Nuclear Theory · Physics 2016-01-27 Ian C. Cloët , Wolfgang Bentz , Anthony W. Thomas

This review consists of three parts: (a) what every atomic physicist needs to know about the physics of light nuclei; (b) what nuclear physicists can do for atomic physics; (c) what atomic physicists can do for nuclear physics. A brief…

Nuclear Theory · Physics 2015-06-26 J. L. Friar

We present a connection between the modifications induced by the nuclear medium of the nucleon form factors and of the deep inelastic structure functions, obtained using the concept of generalized parton distributions. Generalized parton…

High Energy Physics - Phenomenology · Physics 2007-05-23 Simonetta Liuti

Realistic NN interactions and many-body approaches have been used to calculate ground-state properties of nuclei with A=3, 4, 12, 16, 40, with particular emphasis on various kinds of momentum distributions. It is shown that at proper values…

Nuclear Theory · Physics 2018-01-03 Claudio Ciofi degli Atti , Hiko Morita

Sum rules for the total- and scissors-mode M1 strength in odd-A nuclei are derived within the single-j interacting boson-fermion model. We discuss the physical content and geometric interpretation of these sum rules and apply them to…

Nuclear Theory · Physics 2009-10-30 J. N. Ginocchio , A. Leviatan

In supersymmetry the anomalous magnetic moment of particles belonging to the same supermultiplet is related by simple sum rules. We study the modification of these sum rules in the case of spontaneously broken N=1 global supersymmetry.

High Energy Physics - Phenomenology · Physics 2009-10-28 S. S. Khalil

The proton spin budget is discussed. Results are presented from inclusive and semi-inclusive deep inelastic scattering and from deeply virtual Compton scattering. They permit interpretations towards the determination of various…

High Energy Physics - Phenomenology · Physics 2009-11-13 Wolf-Dieter Nowak

Nuclear effects in polarized inelastic electron scattering off polarized $^3He$ and polarized $^2H$ are discussed; in the resonance region, Fermi motion effects are found to be much larger than in deep inelastic scattering. It is shown that…

Nuclear Theory · Physics 2008-02-03 S. Scopetta , A. Yu. Umnikov , C. Ciofi degli Atti , L. P. Kaptari

We review the theory of polarized structure functions measured in deep-inelastic lepton-nucleon scattering, focusing on the most recent developments. We concentrate on the structure function $g_1$, emphasizing the phenomenological problems…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stefano Forte

Our knowledge on the nucleon spin structure has greatly improved over the last twenty years or so, but still many fundamental questions remain unsolved. I will try to review some of the puzzling aspects of the origin of the nucleon spin. I…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Soffer