Elastic electron scattering from light nuclei

Sick, I.

doi:10.1016/s0146-6410(01)00156-9

Cited by 108 publications

(60 citation statements)

References 231 publications

(416 reference statements)

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“…All calculations employ the on-shell single-nucleon current. The full circles represent the experimental data [14] All models reproduce the correct 3N binding energy, and the form factors remain close to each other. The only exception is WJC-1, for which some deviations are observed already at relatively small Q.…”

Section: Results For the Three-nucleon Bound Statementioning

confidence: 69%

A Relativistic Theory of Few-Nucleon Systems

Stadler

2010

Few-Body Syst

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This talk provides an overview of recent results for two-and three-nucleon systems obtained within the framework of the covariant spectator theory (CST). The main features of two recently published models for the neutron-proton interaction, that fit the 2007 world data base containing several thousands of neutron-proton scattering data below 350 MeV with χ 2 /N data ≈ 1, are presented. These one-boson-exchange models, called WJC-1 and WJC-2, have a considerably smaller number of adjustable parameters than are present in realistic nonrelativistic potentials. When applied to the three-nucleon bound state, the correct binding energy is obtained without additional three-body forces. First calculations of the electromagnetic form factors of helium-3 and the triton in complete impulse approximation also give very reasonable results. One can conclude that the CST yields a very efficient description of few-nucleon systems, in which the relativistic formulation of the dynamics is an essential element. The Fundamental Ideas of the Covariant Spectator TheoryIn low-energy few-body nuclear physics, relativity is often considered an unwelcome complication that gives rise to only small effects, which can be either neglected or included perturbatively. The argument is usually based on the observation that typical kinetic energies of nucleons in light nuclear systems are small compared to their rest mass. However, a relativistic description of such systems becomes unavoidable when they are investigated with hadronic or electromagnetic probes at high momentum transfer and the final nuclear states reach relativistic velocities.This talk intends to show that relativity can also lead to a significant simplification of the description of fewnucleon systems. This will be demonstrated for the case of the covariant spectator theory (CST), where simple one-boson-exchange (OBE) models of the nucleon-nucleon (N N) interaction can be derived that provide a more efficient description of the N N observables than nonrelativistic models. This efficiency applies also to the 3N bound state, which can be well described without 3N forces. The obtained simplification depends crucially on relativity.The basic idea of the CST is to reorganize the manifestly covariant Bethe-Salpeter (BS) equation with its complete kernel to another equivalent form, in which a different propagator and an accordingly modified kernel is used. The specific propagator of the CST places all particles but one in intermediate states on their mass shells [1][2][3]. This reduces the dimension of the integration over intermediate momenta from four to

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Section: Results For the Three-nucleon Bound Statementioning

confidence: 69%

A Relativistic Theory of Few-Nucleon Systems

Stadler

2010

Few-Body Syst

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“…AV18 trinucleon wave function [7] and Gari-Krümpelmann Nucleon ff's [9] have been adopted. Data from [13]. Figure 4.…”

Section: Discussionmentioning

confidence: 99%

Relativistic Hamiltonian dynamics and few-nucleon systems

2008

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“…All calculations employ the on-shell single-nucleon current. The full circles represent the experimental data [15].…”

Section: Three-nucleon Binding Energies and Electromagnetic Form Factorsmentioning

confidence: 99%

Applications of the Covariant Spectator Theory

Stadler

2012

Few-Body Syst

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In this talk I provide a short overview of applications of the so-called Covariant Spectator Theory to two-and three-nucleon systems. It is a quasi-potential formalism based on relativistic quantum field theory, and can be derived from a reorganization of the complete Bethe-Salpeter series. In this framework, we constructed two one-boson-exchange models, called WJC-1 and WJC-2, for the neutron-proton interaction that fit the 2007 world data base, containing several thousands of neutron-proton scattering data below 350 MeV, with a χ 2 /N data close to 1. The close fit to the observables implies that the phase shifts derived from these models can be interpreted as new phase-shift analyses, which can be used also in nonrelativistic frameworks. Both models have a considerably smaller number of adjustable parameters than are present in realistic nonrelativistic potentials, which shows that the inclusion of relativity actually helps to achieve a realistic description of the interaction between nucleons. This became also evident in calculations of the three-nucleon bound state, where the correct binding energy is obtained without additional irreducible three-body forces which are needed in nonrelativistic calculations. In addition, calculations of the electromagnetic form factors of helium-3 and of the triton in complete impulse approximation also give very reasonable results, demonstrating the Covariant Spectator Theory's ability to describe the structure of the three-nucleon bound states realistically. Keywords Relativistic few-body systems · Nuclear interaction Covariant Spectator Theory of Two-and Three-Nucleon SystemsThe purpose of this talk is to give a brief overview of recent results we obtained in relativistic calculations of two-nucleon (2N) and three-nucleon (3N) systems in the framework of the covariant spectator theory (CST). As will be demonstrated, we found simple one-boson-exchange (OBE) models of the nucleon-nucleon (NN) interaction that provide a more efficient description of the NN observables than nonrelativistic models. This efficiency applies also to the 3N bound state, which can be well described without 3N forces. The obtained simplification depends crucially on relativity.One way of introducing the two-body CST is to start from the manifestly covariant Bethe-Salpeter (BS) equation for the scattering amplitude M of two particles with masses m 1 and m 2 , which can be written in the general form M = V BS + V BS G BS M, where V BS is a complete kernel consisting of an infinite number of twobody-irreducible boson-exchange diagrams. The propagator G BS is the product of the propagators of the two particles. This equation can then be recast into another equivalent form, M = V CST +V CST G CST M, in which a different propagator G CST and an accordingly modified kernel V CST is used. For the case of spin-1/2 particles,

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Elastic electron scattering from light nuclei

Cited by 108 publications

References 231 publications

A Relativistic Theory of Few-Nucleon Systems

A Relativistic Theory of Few-Nucleon Systems

Relativistic Hamiltonian dynamics and few-nucleon systems

Applications of the Covariant Spectator Theory

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