Abstract.
We present a method to calculate directly the K-matrix for the pion electro-production processes in the framework of chiral quark models which allows for a clean separation of the resonant amplitudes from the background. The method is applied to the calculation of the multipole amplitudes M1+, E1+, and S1+ in the Δ channel within the Cloudy Bag Model. A good overall description is found in a broad energy range.
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L. Tiator, D. Drechsel, S.S. Kamalov, S.N. Yang, Eur. Phys. J. A 17, 357 (2003).
M. Fiolhais, B. Golli, S. Širca, Phys. Lett. B 373, 229 (1996)
G.C. Gellas, T.R. Hemmert, C.N. Ktorides, G.I. Poulis, Phys. Rev. D 60, 054022 (1999).
T. Sato, T.-S.H. Lee, Phys. Rev. C 63, 055201 (2001).
J. Friedrich, T. Walcher, Eur. Phys. J. A 17, 607 (2003).
A.J. Buchmann, in Proceedings of the 8th International Conference on the Structure of Baryons, Bonn, Germany, September 22-26, 1998, edited by D.W. Menze, B.Ch. Metsch (World Scientific, Singapore, 1999) p. 731.
R.M. Davidson, N.C. Mukhopadhyay, Phys. Rev. D 42, 20 (1990).
M. Weyrauch, Phys. Rev. D 35, 1574 (1974).
G. Kälbermann, J.M. Eisenberg, Phys. Rev. D 2, 71 (1983).
R.G. Newton, Scattering Theory of Waves and Particles (Dover Publications, New York, 1982).
D. Drechsel, L. Tiator, J. Phys. G 18, 449 (1992).
A1 Collaboration (Th. Pospischil), Phys. Rev. Lett. 86, 2959 (2001).
G.F. Chew, F.E. Low, Phys. Rev. 101, 1570 (1956).
B. Golli, M. Rosina, J. da Providência, Nucl. Phys. A 436, 733 (1985).
R.A. Arndt, SAID Partial-Wave Analysis, http:// gwdac.phys.gwu.edu/.
S. Théberge, G.A. Miller, A.W. Thomas, Can. J. Phys. 60, 59 (1982)
D.H. Lu, A.W. Thomas, A.G. Williams, Phys. Rev. C 55, 3108 (1997).
K. Bermuth, D. Drechsel, L. Tiator, J.B. Seaborn, Phys. Rev. D 37, 89 (1988).
D. Drechsel, S.S. Kamalov, L. Tiator, Nucl. Phys. A 645, 145 (1999) and http://www.kph.uni-mainz.de/MAID/.
O. Hanstein, D. Drechsel, L. Tiator, Phys. Lett. B 385, 45 (1996).
Th. Wilbois, P. Wilhelm, H. Arenhövel, Phys. Rev. C 57, 295 (1998).
R.M. Davidson, Phys. Rev. C 59 1059 (1999)
R. Workman, R.A. Arndt, Phys. Rev. C 59, 1810 (1999).
Particle Data Group (S. Eidelman), Phys. Lett. B 592, 1 (2004).
CLAS Collaboration (K. Joo), Phys. Rev. Lett. 88, 122001 (2002).
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Alberto, P., Amoreira, L., Fiolhais, M. et al. Direct calculation of the K-matrix for pion electro-production in the delta channel. Eur. Phys. J. A 26, 99–106 (2005). https://doi.org/10.1140/epja/i2005-10160-9
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DOI: https://doi.org/10.1140/epja/i2005-10160-9