Publication: Improved unitarized Heavy Baryon Chiral Perturbation Theory for π N scattering
Loading...
Official URL
Full text at PDC
Publication Date
2000-07-27
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier science
Citations
Exportar
Abstract
We show how the unitarized description of pion nucleon scattering within Heavy Baryon Chiral Perturbation Theory can be considerably improved, by a suitable reordering of the expansion over the nucleon mass. Within this framework, the ∆ resonance and its associated pole can be recovered from the chiral parameters obtained from low-energy determinations. In addition, we can obtain a good description of the six S and P wave phase shifts in terms of chiral parameters with a natural size and compatible with the Resonance Saturation Hypothesis.
Description
© 2000 Elsevier Science B.V. All rights reserved.
This research was supported by DGES under contract PB98-1367 and by the Junta de Andalucía. Work partially supported by DGICYT under contracts AEN97-1693 and PB98-0782. We thank P. Buttiker, J.A.Oller and E.Oset for useful comments and discussions.
UCM subjects
Unesco subjects
Keywords
Citation
[1] J. Gasser, H. Leutwyler, Ann. Phys. NY 158 (1984) 142.
[2] T.N. Truong, Phys. Rev. Lett. 661 (1988) 2526; Phys. Rev. Lett. 67 (1991) 2260; A. Dobado, M.J. Herrero, T.N. Truong Phys. Lett. B 235 (1990) 134; A. Dobado, J.R. Peláez, Phys. Rev. D 47 (1993) 4883; Phys. Rev. D 56 (1997) 3057.
[3] J.A. Oller, E. Oset, J.R. Peáez, Phys. Rev. Lett. 80 (1998) 3452; Phys. Rev. D 59 (1999) 074001; hep-ph/9909556; F. Guerrero, J.A. Oller, Nucl. Phys. B 537 (1999) 459.
[4] J. Nieves, E. Ruiz Arriola, Phys. Lett. B 455 (1999) 30; hep-phr9907469 and references therein.
[5] N. Isgur, M.B. Wise, Phys. Lett. B 232 (1989) 113.
[6] E. Jenkins, A.V. Manohar, Phys. Lett. B 255
(1991) 558.
[7] V. Bernard, N. Kaiser, J. Kambor, U.-G. Meißner, Nucl. Phys. B 388 (1992) 315.
[8] For a review see e.g. V. Bernard, N. Kaiser, U.-G. Meißner, Int. J. Mod. Phys. E 4 (1995) 193, and references therein.
[9] V. Bernard, N. Kaiser, U.-G. Meißner, Nucl. Phys. A 615 (1997) 483.
[10] M. Mojzis, Eur. Phys. J. C 2 (1998) 181.
[11] N. Fettes, U.-G. Meißner, S. Steininger, Nucl. Phys. A 640 (1998) 199.
[12] J.L. Basdevant, Fort. der Phys. 20 (1972) 283.
[13] M.G. Olsson, E.T. Osypowski, Nucl. Phys. B 101 (1975) 136; D. Bofinger, W.S. Woolcock, Nuovo Cimento A 104 (1991) 655; F. Gross, Y. Surya, Phys. Rev. C 47 (1993) 703; P.F.A. Goudsmit et al., Nucl. Phys. A 575 (1994) 673.
[14] A. Datta, S. Pakvasa, Phys. Rev. D 56 (1997) . P.J. Ellis, H.-B. Tang, Phys. Rev. C 56 (1997) 3363; Phys. Rev. C 57 (1998) 3356.
[15] T.R. Hemmert, B.R. Holstein, J. Kambor, Phys. Lett. B 395 (1997).
[16] U.-G. Meißner, J.A. Oller, nucl-thr9912026.
[17] A. Gómez-Nicola, J.R. Peláez, hep-ph/9912512, to appear in Phys. Rev. D; hep- phr9909568.
[18] T. Ericson, W. Weise, Pions and Nuclei, Clarendon Press, Oxford, (1988).
[19] G. Ecker, M. Mojzis, Phys. Lett. B 365 (1996) 312.
[20] R. Koch, Nucl. Phys. A 348 (1986) 707.
[21] R.A. Arndt, I.I. Strakovsky, R.L. Workman, M.M. Pavan, Phys. Rev. C 52 (1995) 2120; R. Arndt et al., nucl-th/9807087. SAID online- rogram (Virginia Tech Partial-Wave Analysis Facility) . Latest update, http:// said.phys.vt.edu.
[22] T. Becher, H. Leutwyler, hep-phr9901384.
[23] J. Gegelia, G. Japaridze, X.Q. Wang, hep- ph/9910260.
[24] J. Gasser, M.E. Sainio, A. Svarc, Nucl. Phys. B 307 (1988) 779.
[25] Review of Particle Physics, Eur. Phys. J. C 3 (1998) 1.
[26] N. Fettes, U.-G. Meißner, hep-ph/0002162.
[27] H.-Ch. Schroeder et al., Phys. Lett. B 469 (1999) 25.