Central Nucleon-Nucleon Potential and Chiral Scalar Form Factor

Abstract

The central two-pion exchange NN potential at large distances is studied in the framework of relativistic chiral symmetry and related directly to the nucleon scalar form factor, which describes the mass density of its pion cloud. This relationship is well supported by phenomenology and allows the dependence of the asymptotic potential on the nucleon mass to be assessed. Results in the heavy baryon limit are about 25% larger than those corresponding to the empirical nucleon mass in the region of physical interest. This indicates that it is very important to keep this mass finite in precise descriptions of the NN system and supports the efficacy of the relativistic chiral framework. One also estimates the contribution of subleading effects and presents a simple discussions of the role of the quark condensate in this problem.

16 pages, 8 figures

References in corpus (4)

• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Chiral two-pion exchange and proton-proton partial-wave analysis
• Nucleon-nucleon interaction: Central potential and pion production

Cited by in corpus (21)

• Modern Theory of Nuclear Forces
• The two-nucleon system at next-to-next-to-next-to-leading order
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• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Three-Nucleon Force Effects in Nucleon Induced Deuteron Breakup: Predictions of Current Models (I)
• Generalized dipole polarizabilities and the spatial structure of hadrons
• Two-pion exchange nucleon-nucleon potential:O(q^4) relativistic chiral expansion
• Relativistic $O(q^4)$ two-pion exchange nucleon-nucleon potential: configuration space
• Correlated two-pion exchange and large-N(C) behavior of nuclear forces
• The Rarita-Schwinger Particles Under de Influence of Strong Magnetic Fields
• The sigma-term form factor of the nucleon in the large-Nc limit
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Pion-nucleon Sigma Term in the Global Color Model of QCD
• Pion-delta sigma-term
• On the correspondence between the classical and quantum gravity
• Hyperon scalar form factors
• $\pi \Xi$ phase shifts and CP Violation in $\Omega \to \pi \Xi$ Decay
• Low energy kaon-hyperon interaction
• Polarization in low energy kaon-hyperon interaction
• Low energy pion-${\Lambda }_b$ interaction