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Structure of Meson-Baryon interaction vertices.
1Theoretische Physik, Institut für Physik, Karl-Franzens-Universität, Universitätsplatz 5, A-8010 Graz, Austria.
Physical Review Letters
|April 28, 2009
Summary
We derived strong-interaction vertex form factors for pion-nucleon (piNN) and pion-nucleon-delta (piNDelta) interactions using a quark model. These results aid future hadron reaction studies.
Area of Science:
- Nuclear Physics
- Quantum Chromodynamics
- Particle Physics
Background:
- Understanding strong interactions is crucial in nuclear and particle physics.
- Vertex form factors are essential for describing hadron reactions.
- Existing models for these form factors vary.
Purpose of the Study:
- To microscopically derive pion-nucleon (piNN) and pion-nucleon-delta (piNDelta) vertex form factors.
- To compare these derived form factors with phenomenological and lattice QCD results.
- To provide an analytical representation for further applications.
Main Methods:
- Utilizing a relativistic constituent quark model for derivation.
- Comparing results with meson-baryon models.
- Comparing results with lattice quantum chromodynamics (QCD) calculations.
Main Results:
- Microscopic derivation of piNN and piNDelta vertex form factors.
- Quantitative comparison with existing phenomenological and lattice QCD data.
- An analytical representation of the vertex form factors was obtained.
Conclusions:
- The relativistic constituent quark model provides a viable method for deriving strong-interaction vertex form factors.
- The derived form factors are suitable for use in further hadron reaction studies.
- The analytical representation facilitates broader applications in theoretical physics.
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