Abstract
Traditional few-body descriptions of pion production use integral equations to sum the strong interactions nonperturbatively. Although much physics is thereby included, there has not been a practical way of incorporating the constraints of chiral symmetry into such approaches. Thus the traditional few-body descriptions fail to reflect the underlying theory of strong interactions, QCD, which is largely chirally symmetric. In addition, the lack of chiral symmetry in the few-body approaches means that their predictions of pion production are in principle not consistent with the partial conservation of axial current (PCAC), a fact that has especially large consequences at low energies. We discuss how the recent introduction of the “gauging of equations method” can be used to include PCAC into traditional few-body descriptions and thereby solve this long standing problem
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References
A. Kvinikhidze and B. Blankleider: Phys. Rev.C60, 044003 (1999)
A. Kvinikhidze and B. Blankleider: Phys. Rev.C60, 044004 (1999)
A.N. Kvinikhidze and B. Blankleider: Nucl. Phys.A574, 788 (1994)
D.R. Phillips and I.R. Afnan: Ann. Phys. (N.Y.)247, 19 (1996)
S. Weinberg:The Quantum Theory of Fields IICambridge: Cambridge University Press 1966
W. Bentz: Nucl. Phys.A446, 678 (1985)
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© 2000 Springer-Verlag Wien
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Blankleider, B., Kvinikhidze, A.N. (2000). Implementing PCAC in Nonperturbative Models of Pion Production. In: Oryu, S., Kamimura, M., Ishikawa, S. (eds) Few-Body Problems in Physics ’99. Few-Body Systems, vol 12. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6287-3_39
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DOI: https://doi.org/10.1007/978-3-7091-6287-3_39
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7247-6
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