RT Journal Article T1 Improved unitarized Heavy Baryon Chiral Perturbation Theory for π N scattering A1 Gómez Nicola, Ángel A1 Nieves, J. A1 Peláez Sagredo, José Ramón A1 Ruiz Arriola, E. AB 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. PB Elsevier science SN 0370-2693 YR 2000 FD 2000-07-27 LK https://hdl.handle.net/20.500.14352/59585 UL https://hdl.handle.net/20.500.14352/59585 LA eng NO [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. NO © 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. NO DGES NO DGICYT DS Docta Complutense RD 6 may 2024