Abstract
The generalized polarizabilities of the nucleon have been calculated in the one-loop approximation of the linear sigma model in the limit of infinite sigma mass. In particular, we have investigated the spin-independent amplitude of virtual Compton scattering off the nucleon. The dependence of the polarizabilities on the momentum transfer Q has been compared with two recent model calculations. It has been shown in the linear sigma model that only two of the three scalar polarizabilities are independent quantities. Particular attention has been paid to the real photon point (Q2 = 0), where the results of the relativistic chiral perturbation theory have been recovered.
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References
V. Breton et al., CEBAF proposal PR-94-106 (1994)
P. Kroll, M. Schürmann and P.A.M. Guichon, WUB-95-09 and hep-ph/9507298
J. van den Brand et al., CEBAF proposal PR-94-011 (1994)
S. Scherer and H.W. Fearing, Phys. Rev. C51, 359 (1995)
G. Audit et al., MAMI proposal on ‘Nucleon structure study by Virtual Compton Scattering’ (1995)
G. Audit et al., CEBAF proposal PR-93-050 (1993)
A. Klein, Phys. Rev. 99, 998 (1955)
M. Gell-Mann and M.L. Goldberger, Phys. Rev. 96, 1433 (1954)
F.E. Low, Phys. Rev. 96, 1428 (1954)
H. Arenhövel and D. Drechsel, Nucl. Phys. A233, 153 (1974)
P.A.M. Guichon, G.Q. Liu and A.W. Thomas, Nucl. Phys. A591, 606 (1995)
D. Drechsel and A. Russo, Phys. Lett. B137, 294 (1984); S. Capstick and B. D. Keister, Phys. Rev. D46, 84 (1992); M. Traini and R. Leonardi, Phys. Lett. B334, 7 (1994)
P.C. Hecking and G.F. Bertsch, Phys. Lett. B99, 237 (1981); A. Schäfer, B. Müller, D. Vasak and W. Greiner, Phys. Lett. B143, 323 (1984); R. Weiner and W. Weise, Phys. Lett. B159, 85 (1985)
E.M. Nyman, Phys. Lett. B142, 388 (1984); M. Chemtob, Nucl. Phys. A473, 613 (1987); S. Scherer and P.J. Mulders, Nucl. Phys. A549, 521 (1992)
V. Bernard, N. Kaiser and U.G. Meißner, Phys. Rev. Lett. 67, 1515 (1991); V. Bernard, N. Kaiser and U.G. Meißner, Nucl. Phys. B373, 346 (1992)
V. Bernard, N. Kaiser, J. Kambor and U.G. Meißner, Nucl. Phys. B388, 315 (1992)
V. Bernard, N. Kaiser, U.G. Meißner and A. Schmidt, Phys. Lett. B319, 269 (1993); V. Bernard, N. Kaiser, U.G. Meißner and A. Schmidt, Z. Phys. A348, 317 (1994)
G.Q. Liu, A.W. Thomas and P.A.M. Guichon, nucl-th/9605032
M. Vanderhaeghen, Phys. Lett. B368, 13 (1996)
M. Gell-Mann and M. Lévy, Nuovo Cim. 16, 705 (1960)
J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics, New York: McGraw-Hill 1964
S. Scherer, A.Yu. Korchin and J.H. Koch, Phys. Rev. C54, 904 (1996)
A.J.F. Siegert, Phys. Rev. 52, 787 (1937)
C. Itzykson and J.B. Zuber, Quantum Field Theory, New York: McGraw-Hill 1980
R.M. Davidson, Phys. Rev. C47, 2492 (1993)
H.W.L. Naus, PhD thesis, Amsterdam (1990)
B.E. MacGibbon et al., Phys. Rev. C52, 2097 (1995)
J. Schmiedmayer et al., Phys. Rev. Lett. 66, 1015 (1991)
A.I. L’vov, Phys. Lett. B304, 29 (1993)
T.R. Hemmert, B.R. Holstein, G. Knöchlein and S. Scherer, preprint MKPH-T-96-10, Mainz (1996) and nuc/-th/9608042
A. Nyffeler and A. Schenk, Ann. Phys. 241, 301 (1995)
