Microscopic derivation of pion-nucleon and pion-Delta scattering lengths
classification
⚛️ nucl-th
keywords
lengthsscatteringmicroscopicannihilationcalculatecalculationchiralconsistently
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A general expression for the $\pi -N$ and $\pi-\Delta $ scattering lengths is derived in the framework of a microscopic calculation. Annihilation, negative energy wave-functions and spontaneous chiral symmetry are included consistently. The point-like limit is used to calculate the scattering lengths.
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