Abstract
Heavy baryon chiral perturbation theory including spin 3/2 delta resonances as effective degrees of freedom is reviewed. The theory admits a systematic expansion in the small scale ε, where ε collectively denotes soft momenta, the pion mass or the delta-nucleon mass difference. Renormalization is discussed in some detail on the example of the scalar sector of one-nucleon processes, and a reformulation of the principle of resonance saturation for counterterms of the HBChPT lagrangian is sketched. As an application, the polarizabilities of the nucleon are discussed at order ε 3.
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Baur, R. and Kambor, J. (1997): in preparation
Benmerrouche, M., Davidson, R.M. and Mukhopadhyay, N.C. (1989): Phys. Rev. C39, 2339, and references therein
Bernard, V., Kaiser, N., Kambor, J. and Meißner, U.G. (1992): Nucl. Phys. B388, 315
Bernard, V., Kaiser, N. and Meißner, U.-G. (1993): Z. Phys. C60, 111
Bernard, V., Kaiser, N., Schmidt, A. and Meißner, U.-G. (1994): Z. Phys. A348, 317
Bernard, V., Kaiser, N. and Meißner, U.-G. (1995): Int. J. Mod. Phys. E4, 193
Bernard, V. (1997): These Proceedings
Borasoy, B. and Meißner, U.-G. (1996) Phys. Lett. B365, 285; Ann. Phys. 254, 192
Butler, M.N., Savage, M.J. and Springer, R.P. (1993): Nucl. Phys. B399, 69
Ecker, G. (1994): Phys. Lett. B336, 508
Ecker, G. and Meißner, U.-G. (1995): Comm. Nucl. Part. Phys. 21, 347
Ecker, G. and Mojžiš, M. (1996): Phys. Lett. B365, 312
Ecker, G. and Mojžiš, M. (1997): preprint hep-ph/9705216
Gasser, J. (1997): These Proceedings
Gasser, J. and Leutwyler, H. (1985): Nucl. Phys. B250, 465
Gasser, J., Sainio, M.E. and Svarc, A.: Nucl. Phys. B307, 779
Gasser, J., Leutwyler, H. and Sainio, M.E. (1991): Phys. Lett. B253, 252; ibid 260
Hemmert, T.R., Holstein, B.R. and Kambor, J. (1997): Phys. Lett. B395, 89
Hemmert, T.R., Holstein, B.R. and Kambor, J. (1997): Phys. Rev. D55, 5598
Hemmert, T.R., Holstein, B.R. and Kambor, J. (1997): in preparation
Hemmert, T.R., Holstein, B.R., Kambor, J. and Knöchlein, G. (1997): nuclth/9709063
Holstein, B.R. (1997): These Proceedings
Jenkins, E. and Manohar, A.V. (1991): Phys. Lett. B259, 353; Baryon chiral perturbation theory, in Proc. Workshop on Effective Field Theories of the Standard Model, ed. U.-G. Meißner (World Scientific, Singapore, 1992)
Kambor, J. (1996): Baryons’ 95, Proceedings of the 7th International Conference on the Structure of Baryons, Santa Fe, NM, 3–7 Oct. 1995, B.F. Gibson et al. (eds.), World Scientific, Singapore
Luke, M. and Manohar, A.V. (1992): Phys. Lett. B286, 348
Luty, M.A. and March-Russell, J. (1994): Nucl. Phys. B417, 527
Meißner, U.-G. (1997): These Proceedings
Pascalutsa, V (1994): University of Utrecht preprint THU-94/21, unpublished
Rarita, W. and Schwinger, J. (1941): Phys. Rev. 60, 61
Weinberg, S.: Physica 96A, 327
van Kolck, U. (1997): These Proceedings
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Kambor, J. (1998). The Δ(1232) as an effective degree of freedom in chiral perturbation theory. In: Bernstein, A.M., Drechsel, D., Walcher, T. (eds) Chiral Dynamics: Theory and Experiment. Lecture Notes in Physics, vol 513. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104904
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DOI: https://doi.org/10.1007/BFb0104904
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