Dispersion relation constrained partial wave analysis of πN elastic and πN → ηN scattering data: The baryon spectrum

Physical Review C - Nuclear Physics

Volumn 69, Issue 3, 2004, Pages

  Arndt, R A ^a   Briscoe, W J ^a   Strakovsky, I I ^a   Workman, R L ^a   Pavan, M M ^b  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b TRIUMF   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442455732     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.69.035213     Document Type: Article

References (99)

1. Particle Data Group, K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002), also see http://pdg.lbl.gov
2. See for example, W. T. Chiang, S. N. Yang, L. Tiator, and D. Drechsel, Nucl. Phys. A700, 429 (2002); L. Tiator, D. Drechsel, G. Knöchlein, and C. Bennhold, Phys. Rev. C 60, 035210 (1999).
3. See for example, W. T. Chiang, S. N. Yang, L. Tiator, and D. Drechsel, Nucl. Phys. A700, 429 (2002); L. Tiator, D. Drechsel, G. Knöchlein, and C. Bennhold, Phys. Rev. C 60, 035210 (1999).
4. G. Penner and U. Mosel, Phys. Rev. C 66, 055212 (2002); T. P. Vrana, S. A. Dytman, and T. S. H. Lee, Phys. Rep. 328, 181 (2000); D. M. Manley and E. M. Saleski, Phys. Rev. D 45, 4002 (1992).
5. G. Penner and U. Mosel, Phys. Rev. C 66, 055212 (2002); T. P. Vrana, S. A. Dytman, and T. S. H. Lee, Phys. Rep. 328, 181 (2000); D. M. Manley and E. M. Saleski, Phys. Rev. D 45, 4002 (1992).
6. G. Penner and U. Mosel, Phys. Rev. C 66, 055212 (2002); T. P. Vrana, S. A. Dytman, and T. S. H. Lee, Phys. Rep. 328, 181 (2000); D. M. Manley and E. M. Saleski, Phys. Rev. D 45, 4002 (1992).
7. R. A. Arndt, J. M. Ford, and L. D. Roper, Phys. Rev. D 32, 1085 (1985).
8. R. A. Arndt, I. I. Strakovsky, R. L. Workman, and M. M. Pavan, Phys. Rev. C 52, 2120 (1995).
9. G. Höhler, in Pion-Nucleon Scattering, edited by H. Schopper, Landoldt-Börnstein, New Series, Vol. I/9b2 (Springer-Verlag, Berlin, 1983).
10. R. Koch, Nucl. Phys. A448, 707 (1986).
11. R. A. Arndt, R. L. Workman, and M. M. Pavan, Phys. Rev. C 49, 2729 (1994).
12. R. A. Arndt, L. Zhujun, L. D. Roper, R. L. Workman, and J. M. Ford, Phys. Rev. D 43, 2131 (1991).
13. The full database and numerous PWAs can be accessed via an ssh call to the SAID facility gwdac.phys.gwu.edu, with userid: said (no password), or a link to the website http:// gwdac.phys.gwu.edu
14. The one-, two-, and three-star rating of data is described in Ref. [9]. Only two- and three-star data are included in analyses. Unrated data are included unless they have been "flagged" for deletion from analyses. It should be noted that these flagged data are still retained in our database. We have followed this recipe since 1990 [12].
15. Historically, B. M. K. Nefkens, W. J. Briscoe, M. M. Sadler, R. A. Arndt, and G. Höhler analyzed and classified all πN measurements completed before 1983. zero-, one-, two-, and three-star ratings were assigned to the πN database entries. This star rating system was described at Few Body'83 and the first πN International Workshop by B. M. K. Nefkens, in Few Body Problems in Physics (Contr. Papers), Proceedings of Tenth International Conference on Few Body Problems in Physics, Karlsruhe, Germany, 1983), edited by B. Zeitnitz, p. 137; Nucl. Phys. A416, 193 (1984); in Proceedings of the First Workshop on πN scattering, Karlsruhe, Germany, 1984, edited by G. Höhler.
16. Historically, B. M. K. Nefkens, W. J. Briscoe, M. M. Sadler, R. A. Arndt, and G. Höhler analyzed and classified all πN measurements completed before 1983. zero-, one-, two-, and three-star ratings were assigned to the πN database entries. This star rating system was described at Few Body'83 and the first πN International Workshop by B. M. K. Nefkens, in Few Body Problems in Physics (Contr. Papers), Proceedings of Tenth International Conference on Few Body Problems in Physics, Karlsruhe, Germany, 1983), edited by B. Zeitnitz, p. 137; Nucl. Phys. A416, 193 (1984); in Proceedings of the First Workshop on πN scattering, Karlsruhe, Germany, 1984, edited by G. Höhler.
17. Historically, B. M. K. Nefkens, W. J. Briscoe, M. M. Sadler, R. A. Arndt, and G. Höhler analyzed and classified all πN measurements completed before 1983. zero-, one-, two-, and three-star ratings were assigned to the πN database entries. This star rating system was described at Few Body'83 and the first πN International Workshop by B. M. K. Nefkens, in Few Body Problems in Physics (Contr. Papers), Proceedings of Tenth International Conference on Few Body Problems in Physics, Karlsruhe, Germany, 1983), edited by B. Zeitnitz, p. 137; Nucl. Phys. A416, 193 (1984); in Proceedings of the First Workshop on πN scattering, Karlsruhe, Germany, 1984, edited by G. Höhler.
18. M. M. Pavan, J. T. Brack, F. Duncan, A. Feltham, G. Jones, J. Lange, K. J. Raywood, M. E. Sevior, R. Adams, D. F. Ottewell, G. R. Smith, B. Wells, R. L. Helmer, E. L. Mathie, R. Tacik, R. A. Ristinen, I. I. Strakovsky, and H-M. Staudenmaier, Phys. Rev. C 64, 064611 (2001).
19. J. T. Brack, P. A. Amaudruz, D. F. Ottewell, G. R. Smith, M. Kermani, M. Pavan, D. Vetterli, R. A. Ristinen, S. Høibråten, M. D. Kohler, J. J. Kraushaar, B. J. Kriss, J. Jaki, M. Metzler, and E. F. Gibson, Phys. Rev. C 51, 929 (1995). We used these data in the SM95 analysis [5].
20. G. J. Hofman, G. R. Smith, T. Ambardar, F. Bonutti, J. T. Brack, P. Camerini, J. Clark, P. P. J. Delheij, F. Farzanpay, L. Felawka, E. Fragiacomo, E. F. Gibson, J. Graeter, N. Grion, M. Kermani, E. L. Mathie, R. Meier, D. Ottewell, R. J. Peterson, R. A. Ristinen, R. Rui, M. E. Sevior, H. Staudenmaier, R. Tacik, and G. J. Wagner, Phys. Rev. C 58, 3484 (1998).
21. G. J. Hofman, J. Breitschopf, K. Craig, H. Denz, E. F. Gibson, E. L. Mathie, R. Meier, M. M. Pavan, C. M. Riedel, R. Tacik, and G. J. Wagner, Phys. Rev. C 68, 018202 (2003).
22. J. D. Patterson, G. J. Hofman, J. T. Brack, P. Camerini, J. Clark, P. P. J. Delheij, L. Felawka, E. Fragiacomo, E. F. Gibson, N. Grion, B. Jamieson, E. L. Mathie, R. Meier, D. Ottewell, R. J. Peterson, K. Raywood, R. A. Ristinen, R. Rui, M. E. Sevior, G. R. Smith, R. Tacik, G. Tagliente, G. J. Wagner, and D. M. Yeomans, Phys. Rev. C 66, 025207 (2002).
23. E. Friedman, A. Goldring, G. J. Wagner, A. Altman, R. R. Johnson, O. Meirav, and B. K. Jennings, Nucl. Phys. A514, 601 (1990); M. M. Pavan, in Proceedings of Sixth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Blaubeuren/Tübingen, Germany, 1995, edited by G. J. Wagner, R. Bilger, and T. Hehl [πN Newsletter 11, 117 (1995)]; E. Friedman (private communication).
24. E. Friedman, A. Goldring, G. J. Wagner, A. Altman, R. R. Johnson, O. Meirav, and B. K. Jennings, Nucl. Phys. A514, 601 (1990); M. M. Pavan, in Proceedings of Sixth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Blaubeuren/Tübingen, Germany, 1995, edited by G. J. Wagner, R. Bilger, and T. Hehl [πN Newsletter 11, 117 (1995)]; E. Friedman (private communication).
25. E. Friedman, A. Goldring, G. J. Wagner, A. Altman, R. R. Johnson, O. Meirav, and B. K. Jennings, Nucl. Phys. A514, 601 (1990); M. M. Pavan, in Proceedings of Sixth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Blaubeuren/Tübingen, Germany, 1995, edited by G. J. Wagner, R. Bilger, and T. Hehl [πN Newsletter 11, 117 (1995)]; E. Friedman (private communication).
26. E. Friedman, A. Goldring, G. J. Wagner, A. Altman, R. R. Johnson, O. Meirav, and B. K. Jennings, Nucl. Phys. A514, 601 (1990); M. M. Pavan, in Proceedings of Sixth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Blaubeuren/Tübingen, Germany, 1995, edited by G. J. Wagner, R. Bilger, and T. Hehl [πN Newsletter 11, 117 (1995)]; E. Friedman (private communication).
27. C. V. Gaulard, C. M. Riedel, J. R. Comfort, J. F. Amann, M. E. Beddo, R. L. Boudrie, G. R. Burleson, P. L. Cole, K. K. Craig, M. A. Espy, L. D. Isenhower, T. E. Kasprzyk, K. R. Knight, C. L. Morris, S. Penttila, D. Rigsby, M. E. Sadler, E. Six, H. M. Spinka, I. Supek, G. J. Wagner, and Q. Zhao, Phys. Rev. C 60, 024604 (1999).
28. L. D. Isenhover, T. Black, B. M. Brooks, A. W. Brown, K. Graessle, J. A. Redmon, M. E. Sadler, J. D. Bowman, D. H. Fitzgerald, J. N. Knudson, H. W. Baer, P. Heusi, F. Irom, T. Bergman, and W. J. Briscoe, in Proceedings of Eighth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Zuoz, Engadine, Switzerland, 1999, edited by D. Drechsel, G. Höhler, W. Kluge, H. Leutwyler, B. M. K. Nefkens, and H.-M. Staudenmaier [πN Newsletter 15, 292 (1999)]; L. D. Isenhower (private communication).
29. L. D. Isenhover, T. Black, B. M. Brooks, A. W. Brown, K. Graessle, J. A. Redmon, M. E. Sadler, J. D. Bowman, D. H. Fitzgerald, J. N. Knudson, H. W. Baer, P. Heusi, F. Irom, T. Bergman, and W. J. Briscoe, in Proceedings of Eighth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Zuoz, Engadine, Switzerland, 1999, edited by D. Drechsel, G. Höhler, W. Kluge, H. Leutwyler, B. M. K. Nefkens, and H.-M. Staudenmaier [πN Newsletter 15, 292 (1999)]; L. D. Isenhower (private communication).
30. L. D. Isenhover, T. Black, B. M. Brooks, A. W. Brown, K. Graessle, J. A. Redmon, M. E. Sadler, J. D. Bowman, D. H. Fitzgerald, J. N. Knudson, H. W. Baer, P. Heusi, F. Irom, T. Bergman, and W. J. Briscoe, in Proceedings of Eighth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Zuoz, Engadine, Switzerland, 1999, edited by D. Drechsel, G. Höhler, W. Kluge, H. Leutwyler, B. M. K. Nefkens, and H.-M. Staudenmaier [πN Newsletter 15, 292 (1999)]; L. D. Isenhower (private communication).
31. B. J. Kriss, S. Høibråten, M. D. Holcomb, M. D. Kohler, J. J. Kraushaar, S. Parry, R. A. Ristinen, A. Saunders, W. R. Smythe, C. L. Morris, M. Rawool-Sullivan, R. M. Whitton, J. T. Brack, E. F. Gibson, and J. L. Langenbrunner, Phys. Rev. C 59, 1480 (1999); B. J. Kriss, R. A. Ristinen, S. Høibråten, M. D. Holcomb, M. D. Kohler, J. J. Kraushaar, A. Saunders, W. R. Smythe, C. L. Morris, M. Rawool-Sullivan, R. M. Whitton, J. T. Brack, E. F. Gibson, and J. L. Langenbrunner, πN Newsletter 12, 20 (1997).
32. B. J. Kriss, S. Høibråten, M. D. Holcomb, M. D. Kohler, J. J. Kraushaar, S. Parry, R. A. Ristinen, A. Saunders, W. R. Smythe, C. L. Morris, M. Rawool-Sullivan, R. M. Whitton, J. T. Brack, E. F. Gibson, and J. L. Langenbrunner, Phys. Rev. C 59, 1480 (1999); B. J. Kriss, R. A. Ristinen, S. Høibråten, M. D. Holcomb, M. D. Kohler, J. J. Kraushaar, A. Saunders, W. R. Smythe, C. L. Morris, M. Rawool-Sullivan, R. M. Whitton, J. T. Brack, E. F. Gibson, and J. L. Langenbrunner, πN Newsletter 12, 20 (1997).
33. E. Frlez, D. Počanić, K. A. Assamagan, J. P. Chen, K. J. Keeter, R. M. Marshall, R. C. Minehart, L. C. Smith, G. E. Dodge, S. S. Hanna, B. H. King, and J. N. Knudson, Phys. Rev. C 57, 3144 (1998).
34. M. Janousch, A. Badertscher, P. F. A. Goudsmit, H. J. Leisi, E. Matsinos, P. Weber, and Z. G. Zhao, Phys. Lett. B 414, 237 (1997).
35. B. A. Raue, T. A. Greco, M. G. Khayat, F. Adimi, B. van den Brandt, H. Breuer, T. Chang, N. S. Chant, H. Chen, T. A. Dooling, A. P. Dvoredsky, B. S. Flanders, T. Gu, J. P. Haas, P. Hautle, J. Huffman, J. J. Kelly, A. Klein, K. Koch, J. A. Konter, A. I. Kovalev, G. S. Kyle, J. J. Lawrie, Z. Lin, S. Mango, P. Markowitz, R. Meier, T. Payerle, S. Ritt, P. G. Roos, and M. Wang, Phys. Rev. C 53, 1005 (1996).
36. Ch. Joram, M. Metzler, J. Jaki, W. Kluge, H. Matthäy, R. Wieser, B. M. Barnett, H. Clement, S. Krell, and G. J. Wagner, Phys. Rev. C 51, 2144 (1995); Ch. Joram, M. Metzler, J. Jaki, W. Kluge, H. Matthäy, R. Wieser, B. M. Barnett, R. Bilger, H. Clement, K. Fohl, K. Heitlinger, S. Krell, and G. J. Wagner, ibid. 51, 2159 (1995). We used these data in our SM95 analysis [5].
37. Ch. Joram, M. Metzler, J. Jaki, W. Kluge, H. Matthäy, R. Wieser, B. M. Barnett, H. Clement, S. Krell, and G. J. Wagner, Phys. Rev. C 51, 2144 (1995); Ch. Joram, M. Metzler, J. Jaki, W. Kluge, H. Matthäy, R. Wieser, B. M. Barnett, R. Bilger, H. Clement, K. Fohl, K. Heitlinger, S. Krell, and G. J. Wagner, ibid. 51, 2159 (1995). We used these data in our SM95 analysis [5].
38. R. Wieser, A. Denig, U. von Hagel, Ch. Joram, W. Kluge, R. Andermann, R. Bilger, H. Clement, K. Fohl, K. Heitlinger, G. J. Wagner, B. van den Brandt, F. Foroughi, P. Hautle, A. Konter, S. Mango, and A. Kovalev, Phys. Rev. C 54, 1930 (1996). We used these data in our SM95 analysis [5].
39. I. G. Alekseev, B. M. Bobchenko, P. E. Budkovsky, V. P. Kanavets, L. I. Koroleva, V. I. Martynov, B. V. Morozov, V. M. Nesterov, V. V. Platonov, V. V. Ryltsov, V. A. Sakharov, A. D. Sulimov, D. N. Svirida, V. V. Zhurkin, V. V. Abaev, N. A. Bazhanov, V. S. Bekrenev, Yu. A. Beloglazov, E. A. Filimonov, A. I. Kovalev, N. G. Kozlenko, S. P. Kruglov, A. A. Kulbardis, I. V. Lopatin, V. A. Shchedrov, V. V. Sumachev, and V. Yu. Trautman Phys. Lett. B 351, 585 (1995). We used these data in our SM95 analysis [5].
40. I. G. Alekseev, P. E. Budkovsky, V. P. Kanavets, L. I. Koroleva, B. V. Morozov, V. M. Nesterov, V. V. Ryltsov, D. N. Svirida, A. D. Sulimov, V. V. Zhurkin, Yu. A. Beloglazov, A. I. Kovalev, S. P. Kruglov, D. V. Novinsky, V. A. Shchedrov, V. V. Sumachev, V. Yu. Trautman, N. A. Bazhanov, and E. I. Bunyatova, Phys. Lett. B 485, 32 (2000); I. G. Alekseev, N. A. Bazhanov, Yu. A. Beloglazov, P. E. Budkovsky, E. I. Bunyatova, V. P. Kanavets, A. I. Kovalev L. I. Koroleva, S. P. Kruglov, B. V. Morozov, V. M. Nesterov, D. V. Novinsky, V. V. Ryltsov, V. A. Shchedrov, A. D. Sulimov, V. V. Sumachev, D. N. Svirida, V. Yu. Trautman, and V. V. Zhurkin, Eur. Phys. J. A 12, 117 (2001).
41. I. G. Alekseev, P. E. Budkovsky, V. P. Kanavets, L. I. Koroleva, B. V. Morozov, V. M. Nesterov, V. V. Ryltsov, D. N. Svirida, A. D. Sulimov, V. V. Zhurkin, Yu. A. Beloglazov, A. I. Kovalev, S. P. Kruglov, D. V. Novinsky, V. A. Shchedrov, V. V. Sumachev, V. Yu. Trautman, N. A. Bazhanov, and E. I. Bunyatova, Phys. Lett. B 485, 32 (2000); I. G. Alekseev, N. A. Bazhanov, Yu. A. Beloglazov, P. E. Budkovsky, E. I. Bunyatova, V. P. Kanavets, A. I. Kovalev L. I. Koroleva, S. P. Kruglov, B. V. Morozov, V. M. Nesterov, D. V. Novinsky, V. V. Ryltsov, V. A. Shchedrov, A. D. Sulimov, V. V. Sumachev, D. N. Svirida, V. Yu. Trautman, and V. V. Zhurkin, Eur. Phys. J. A 12, 117 (2001).
42. E. Pedroni, K. Gabathuler, J. J. Domingo, W. Hirt, P. Schwaller, J. Arvieux, C. H. Q. Ingram, P. Gretillat, J. Piffaretti, N. W. Tanner, and C. Wilkin, Nucl. Phys. A300, 321 (1978).
43. J. T. Brack, J. J. Kraushaar, J. H. Mitchell, R. J. Peterson, R. A. Ristinen, J. L. Ullmann, D. R. Gill, R. R. Johnson, D. Ottewell, F. M. Rozon, M. E. Sevior, G. R. Smith, F. Tervisidis, R. P. Trelle, and E. L. Mathie, Phys. Rev. C 34, 1771 (1986).
44. A. A. Carter, J. R. Williams, D. V. Bugg, P. J. Bussey, and D. R. Dance, Nucl. Phys. B26, 445 (1971).
45. P. J. Bussey, J. R. Carter, D. R. Dance, D. V. Bugg, A. A. Carter, and A. M. Smith, Nucl. Phys. B58, 363 (1973).
46. The uncertainties on Refs. [31,32] were updated to take into account beam-energy uncertainty effects. Correspondence to R. A. Arndt from D. V. Bugg. A slightly different treatment of this data is chosen in Ref. [57].
47. T. W. Morrison, Ph. D. thesis, The George Washington University, 1999 (unpublished).
48. D. M. Binnie, L. Camilleri, N. C. Debenham, A. Duane, D. A. Garbutt, J. R. Holmes, W. G. Jones, J. Keyne, M. Lewis, I. Siotis, P. N. Upadhyay, I. F. Burton, and J. G. McEwen, Phys. Rev. D 8, 2789 (1973).
49. F. Bulos, R. E. Lanou, A. E. Pifer, A. M. Shapiro, C. A. Bordner, A. E. Brenner, M. E. Law, E. E. Ronat, F. D. Rudnick, K. Strauch, J. J. Szymanski, P. Bastien, B. B. Brabson, Y. Eisenberg, B. T. Feld, V. K. Kistiakowsky, I. A. Pless, L. Rosenson, R. K. Yamamoto, G. Calvelli, F. Gasparini, L. Guerriero, G. A. Slakndin, A. Tomasin, L. Ventura, C. Voci, and F. Waldner, Phys. Rev. 187, 1827 (1969).
50. N. C. Debenham, D. M. Binnie, L. Camilleri, J. Carr, A. Duane, D. A. Garbutt, W. G. Jones, J. Keyne, I. Siotis, and J. G. McEwen, Phys. Rev. D 12, 2545 (1975).
51. W. Deinet, H. Mueller, D. Schmitt, H. M. Staudenmaier, S. Buniatov, and E. Zavattini, Nucl. Phys. B11, 495 (1969).
52. W. B. Richards, C. B. Chiu, R. D. Eandi, A. C. Helmholz, R. W. Kenney, B. J. Moyer, J. A. Poirier, R. J. Cence, V. Z. Peterson, N. K. Sehgal, and V. J. Stenger, Phys. Rev. D 1, 10 (1970).
53. R. M. Brown, A. G. Clark, P. J. Duke, W. M. Evans, R. J. Gray, E. S. Groves, R. J. Ott, H. R. Renshall, T. P. Shah, A. J. Shave, J. J. Thresher, and M. W. Tyrrell, Nucl. Phys. B153, 89 (1979).
54. J. Feltesse, R. Ayed, P. Bareyre, P. Borgeaud, M. David, J. Ernwein, Y. Lemoigne, and G. Villet, Nucl. Phys. B93, 242 (1975).
55. V. Z. Peterson et al., Dubna Report No. 30-64, 1964 (unpublished); A. Baldini, V Flaninio, W. G. Moorhead, and D. R. O. Morrison, in Total Cross-Sections for Reactions of High Energy Particles, edited by H. Schopper, Landoldt-Börnstein, New Series, Vol. I/12a (Springer-Verlag, Berlin, 1988).
56. V. Z. Peterson et al., Dubna Report No. 30-64, 1964 (unpublished); A. Baldini, V Flaninio, W. G. Moorhead, and D. R. O. Morrison, in Total Cross-Sections for Reactions of High Energy Particles, edited by H. Schopper, Landoldt-Börnstein, New Series, Vol. I/12a (Springer-Verlag, Berlin, 1988).
57. M. Basile, D. Bollini, P. Dalpiaz, P. L. Frabetti, T. Massam, F. Navach, F. L. Navarria, M. Schneegans, and A. Zichichi, Nuovo Cimento Soc. Ital. Fis., A 3A, 371 (1971).
58. R. T. Van de Walle, C. L. A. Pols, D. J. Schotanus, H. J. G. M. Tiecke, and D. Z. Toet, Nuovo Cimento A 53, 745 (1968).
59. R. B. Chaffee, Ph. D. thesis, Lawrence Berkeley Laboratory, 1975 (unpublished).
60. J. E. Nelson, Ph. D. thesis, Lawrence Berkeley Laboratory, 1972 (unpublished).
61. M. Clajus and B. M. K. Nefkens, πN Newsletter 7, 76 (1992).
62. A. Baldini, V Flaninio, W. G. Moorhead, and D. R. O. Morrison, in Total Cross-Sections for Reactions of High Energy Particles, edited by H. Schopper, Landoldt-Börnstein, New Series, Vol. I/12a (Springer-Verlag, Berlin, 1988).
63. We thank G. Höhler for emphasizing this point.
64. G. F. Chew and F. E. Low, Phys. Rev. 101, 1570 (1956).
65. J. Hamilton, in High Energy Physics, edited by E. H. S. Burhop (Academic, New York, 1964), p. 193.
66. In what follows, ± subscripts denote charge channels, superscripts denote isospin channels, s, t, and u are the usual Mandelstam variables, and M is the nucleon mass.
67. J. Gasser, H. Leutwyler, M. P. Locher, and M. E. Sainio, Phys. Lett. B 213, 85 (1988); 253, 252 (1991); 253, 260 (1991).
68. J. Gasser, H. Leutwyler, M. P. Locher, and M. E. Sainio, Phys. Lett. B 213, 85 (1988); 253, 252 (1991); 253, 260 (1991).
69. J. Gasser, H. Leutwyler, M. P. Locher, and M. E. Sainio, Phys. Lett. B 213, 85 (1988); 253, 252 (1991); 253, 260 (1991).
70. R. Koch, Z. Phys. C 29, 597 (1985).
71. H.-C. Schröder, A. Badertscher, P. F. A. Goudsmit, M. Janousch, H. J. Leisi, E. Matsinos, D. Sigg, Z. G. Zhao, D. Chatellard, J.-P. Egger, E. Jeannet, K. Gabathuler, P. Hauser, L. M. Simons, and A. J. R. El Hassani, Phys. Lett. B 469, 25 (1999).
72. J. Gasser, A. Rusetsky, and I. Scimemi, hep-ph/0305260.
73. D. V. Bugg and M. D. Scadron, hep-ph/0312346, Eur. Phys. J. C (to be published) . Our mass and width difference is most consistent with Fit 1 of this study.
74. B. Tromborg, S. Waldenstrom, and I. Overbo, Phys. Rev. D 15, 725 (1977); Helv. Phys. Acta 51, 584 (1978).
75. B. Tromborg, S. Waldenstrom, and I. Overbo, Phys. Rev. D 15, 725 (1977); Helv. Phys. Acta 51, 584 (1978).
76. R. Koch and E. Pietarinen, Nucl. Phys. A336, 331 (1980).
77. W. R. Gibbs (private communication). The charge distribution was assumed exponential with an rms radius of 0.86 fm.
78. D. V. Bugg, Nucl. Phys. B58, 397 (1973); We thank D. V. Bugg for pointing out this correction.
79. We thank D. M. Manley and G. Höhler for comments leading to the discovery of this error.
80. G. A. Miller, B. M. K. Nefkens, and I. Slaus, Phys. Rep. 194, 1 (1990).
81. S. Weinberg, in Chiral Dynamics: Theory and Experiment, edited by A. M. Bernstein and B. R. Holstein (Springer-Verlag, Berlin 1994), p. 3.
82. U.-G. Meissner, in Proceedings of Ninth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2001), Washington, DC, USA, 2001, edited by H. Haberzettl and W. J. Briscoe [πN Newsletter 16, 1 (2002)].
83. U.-G. Meissner, in Proceedings of Ninth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2001), Washington, DC, USA, 2001, edited by H. Haberzettl and W. J. Briscoe [πN Newsletter 16, 1 (2002)].
84. W. R. Gibbs, L. Ai, and W. B. Kaufmann, Phys. Rev. Lett. 74, 3740 (1995).
85. A. Gashi, E. Matsinos, G. C. Oades, G. Rasche, and W. S. Woolcock, nucl-th/0009081.
86. N. Fettes and Ulf-G. Meissner, Phys. Rev. C 63, 045201 (2001).
87. N. Fettes and Ulf-G. Meissner, Nucl. Phys. A693, 693 (2001).
88. J. F. Martin, J. C. Sleeman, R. M. Brown, P. J. Duke, W. M. Evans, E. S. Groves, R. E. Hill, W. R. Holley, D. P. Jones, J. J. Thresher, and M. W. Tyrrell, Nucl. Phys. B89, 253 (1975).
89. Y. Suzuki, T. Adachi, M. Daigo, Y. Hemmi, R. Kikuchi, M. Minowa, K. Miyake, S. Naito, T. Nakamura, M. Sakuda, I. Nakano, and M. Kobayashi, Nucl. Phys. B294, 961 (1987).
90. V. V. Baru, A. E. Kudryavtsev, V. E. Tarasov, W. J. Briscoe, K. S. Dhuga, and I. I. Strakovsky, Phys. Rev. C 62, 044003 (2000); A. E. Kudryavtsev, V. E. Tarasov, W. J. Briscoe, B. L. Berman, K. S. Dhuga, and I. I. Strakovsky, ibid. 66, 054007 (2002).
91. V. V. Baru, A. E. Kudryavtsev, V. E. Tarasov, W. J. Briscoe, K. S. Dhuga, and I. I. Strakovsky, Phys. Rev. C 62, 044003 (2000); A. E. Kudryavtsev, V. E. Tarasov, W. J. Briscoe, B. L. Berman, K. S. Dhuga, and I. I. Strakovsky, ibid. 66, 054007 (2002).
92. D. V. Bugg, A. A. Carter, and J. R. Carter, Phys. Lett. 44B, 278 (1973).
93. H.-Ch. Schröder, A. Badertscher, P. F. A. Goudsmith, M. Janousch, J. J. Leisi, E. Matsinos, D. Sigg, Z. G. Zhao, D. Chatellard, J.-P. Egger, K. Gabathuler, P. Hauser, L. M. Simons, and A. J. Rusi El Hassani, Eur. Phys. J. C 21, 473 (2001).
94. J. J. de Swart, M. C. M. Rentmeester, and R. G. E. Timmermans, in Proceedings of Seventh International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Vancouver, BC, Canada, 1997, edited by D. Drechsel et al. [πN Newsletter 13, 96 (1997)].
95. J. J. de Swart, M. C. M. Rentmeester, and R. G. E. Timmermans, in Proceedings of Seventh International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon, Vancouver, BC, Canada, 1997, edited by D. Drechsel et al. [πN Newsletter 13, 96 (1997)].
96. T. E. O. Ericson, B. Loiseau, and S. Wycech, hep-ph/0310134.
97. D. F. Anagnostopoulus, H. Fuhrmann, D. Gotta, A. Gruber, M. Hennebach, P. Indelicato, Y.-W. Liu, B. Manil, V. M. Markushin, N. Nelms, L. M. Simons, and J. Zmeskal, in Proceedings of Ninth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2001), Washington, DC, USA, 2001, edited by H. Haberzettl and W. J. Briscoe [πN Newsletter 16, 355 (2002)].
98. D. F. Anagnostopoulus, H. Fuhrmann, D. Gotta, A. Gruber, M. Hennebach, P. Indelicato, Y.-W. Liu, B. Manil, V. M. Markushin, N. Nelms, L. M. Simons, and J. Zmeskal, in Proceedings of Ninth International Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2001), Washington, DC, USA, 2001, edited by H. Haberzettl and W. J. Briscoe [πN Newsletter 16, 355 (2002)].
99. J.-R. Argand, Essai Sur Une Maniere de Representer les Quantites Imaginaires Dans les Constructions Geometriques (Sans nom d'auteur, Paris, 1806), Vol. I, 78.