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Chiral Symmetry and Low Energy Pion-nucleon Scattering
| Content Provider | Semantic Scholar |
|---|---|
| Author | Coon, Sidney A. |
| Copyright Year | 1999 |
| Abstract | In these lectures, I examine the effect of the meson factory πN data on the current algebra/PCAC program which describes chiral symmetry breaking in this system. After historical remarks on the current algebra/PCAC versus chiral Lagrangians approaches to chiral symmetry, and description of the need for πN amplitudes with virtual (off-massshell) pions in nuclear force models and other nuclear physics problems, I begin with kinematics and isospin aspects of the invariant amplitudes. A detailed introduction to the hadronic vector and axial-vector currents and the hypothesis of partially conserved axial-vector currents (PCAC) follows. I review and test against contemporary data the PCAC predictions of the Goldberger-Treiman relation, and the Adler consistency condition for a πN amplitude. Then comes a detailed description of the current algebra WardTakahashi identities in the chiral limit and a brief account of the on-shell current algebra Ward-Takahashi identities. The latter identities form the basis of so-called current algebra models of πN scattering. I then test these models against the contemporary empirical πN amplitudes extrapolated into the subthreshold region via dispersion relations. The scale and the t dependence of the “sigma term” is determined by the recent data. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/nucl-th/9906011v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Chirality (chemistry) Extrapolation Lectures Mesons Nuclear Physics Nucleons Probability amplitude Published Comment Sense of identity (observable entity) Symmetry breaking Tomotaka Takahashi Ward (environment) pi-Mesons |
| Content Type | Text |
| Resource Type | Article |
