The Goldberger-Treiman Discrepancy in SU(3)

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The Goldberger-Treiman discrepancy in SU(3) is analyzed in the framework of heavy baryon chiral perturbation theory (HBChPT). It is shown that the discrepancy at leading order is entirely given by counterterms from the order p{sup 3} Lagrangian, and that the first subleading corrections are suppressed by two powers in the HBChPT expansion. These subleading corrections include meson-loop contributions as well as counterterms from the order p{sup 5} Lagrangian. Some one-loop contributions are calculated and found to be small. Using the three discrepancies ({pi}NN, KN{Lambda} and KN{Sigma}) which can be extracted from existing experimental data, the authors find that the HBChPT ... continued below

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Goity, J. L.; Lewis, R.; Schvellinger, M. & Zhang, L. January 1, 1999.

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The Goldberger-Treiman discrepancy in SU(3) is analyzed in the framework of heavy baryon chiral perturbation theory (HBChPT). It is shown that the discrepancy at leading order is entirely given by counterterms from the order p{sup 3} Lagrangian, and that the first subleading corrections are suppressed by two powers in the HBChPT expansion. These subleading corrections include meson-loop contributions as well as counterterms from the order p{sup 5} Lagrangian. Some one-loop contributions are calculated and found to be small. Using the three discrepancies ({pi}NN, KN{Lambda} and KN{Sigma}) which can be extracted from existing experimental data, the authors find that the HBChPT calculation favors the smaller g({pi}NN) values obtained in recent partial wave analyses.

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357 Kilobytes pages

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  • Journal Name: Phys.Lett. B454 (1999) 115-122; Other Information: Submitted to Phys.Lett. B454 (1999) 115-122

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  • Report No.: DOE/ER/40150-1526
  • Report No.: JLAB-THY-98-51
  • Report No.: hep-ph/9901374
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 756140
  • Archival Resource Key: ark:/67531/metadc711459

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Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • January 1, 1999

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 8:09 p.m.

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Goity, J. L.; Lewis, R.; Schvellinger, M. & Zhang, L. The Goldberger-Treiman Discrepancy in SU(3), article, January 1, 1999; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc711459/: accessed September 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.