Chiral 2π exchange at fourth order and peripheral NN scattering

Physical Review C - Nuclear Physics

Volumn 66, Issue 1, 2002, Pages 140021-1400215

  Entem, D R ^a   Machleidt, R ^a  

^a UNIVERSITY OF IDAHO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036659762     PISSN: 05562813     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevC.66.014002     Document Type: Article

References (70)

1. S. Weinberg, Phys. Lett. B 251, 288 (1990); Nucl. Phys. B363, 3 (1991).
2. S. Weinberg, Phys. Lett. B 251, 288 (1990); Nucl. Phys. B363, 3 (1991).
3. C. Ordóñez and U. van Kolck, Phys. Lett. B 291, 459 (1992).
4. C. Ordóñez, L. Ray, and U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994); Phys. Rev. C 53, 2086 (1996).
5. C. Ordóñez, L. Ray, and U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994); Phys. Rev. C 53, 2086 (1996).
6. U. van Kolck, Prog. Part. Nucl. Phys. 43, 337 (1999).
7. L.S. Celenza, A. Pantziris, and C.M. Shakin, Phys. Rev. C 46, 2213 (1992).
8. C.A. da Rocha and M.R. Robilotta, Phys. Rev. C 49, 1818 (1994); 52, 531 (1995); M.R. Robilotta, Nucl. Phys. A595, 171 (1995); M.R. Robilotta and C.A. da Rocha, ibid. A615, 391 (1997); J.-L. Ballot, C.A. da Rocha, and M.R. Robilotta, Phys. Rev C 57, 1574 (1998).
9. C.A. da Rocha and M.R. Robilotta, Phys. Rev. C 49, 1818 (1994); 52, 531 (1995); M.R. Robilotta, Nucl. Phys. A595, 171 (1995); M.R. Robilotta and C.A. da Rocha, ibid. A615, 391 (1997); J.-L. Ballot, C.A. da Rocha, and M.R. Robilotta, Phys. Rev C 57, 1574 (1998).
10. C.A. da Rocha and M.R. Robilotta, Phys. Rev. C 49, 1818 (1994); 52, 531 (1995); M.R. Robilotta, Nucl. Phys. A595, 171 (1995); M.R. Robilotta and C.A. da Rocha, ibid. A615, 391 (1997); J.-L. Ballot, C.A. da Rocha, and M.R. Robilotta, Phys. Rev C 57, 1574 (1998).
11. C.A. da Rocha and M.R. Robilotta, Phys. Rev. C 49, 1818 (1994); 52, 531 (1995); M.R. Robilotta, Nucl. Phys. A595, 171 (1995); M.R. Robilotta and C.A. da Rocha, ibid. A615, 391 (1997); J.-L. Ballot, C.A. da Rocha, and M.R. Robilotta, Rev C 57, 1574 (1998).
12. C.A. da Rocha and M.R. Robilotta, Phys. Rev. C 49, 1818 (1994); 52, 531 (1995); M.R. Robilotta, Nucl. Phys. A595, 171 (1995); M.R. Robilotta and C.A. da Rocha, ibid. A615, 391 (1997); J.-L. Ballot, C.A. da Rocha, and M.R. Robilotta, Rev C 57, 1574 (1998).
13. N. Kaiser, R. Brockmann, and W. Weise, Nucl. Phys. A625, 758 (1997).
14. N. Kaiser, S. Gerstendörfer, and W. Weise, Nucl. Phys. A637, 395 (1998).
15. N. Kaiser, Phys. Rev. C 61, 014003 (1999); 62, 024001 (2000).
16. N. Kaiser, Phys. Rev. C 61, 014003 (1999); 62, 024001 (2000).
17. N. Kaiser, Phys. Rev. C 63, 044010 (2001).
18. N. Kaiser, Phys. Rev. C 64, 057001 (2001).
19. N. Kaiser, Phys. Rev. C 65, 017001 (2002).
20. E. Epelbaum, W. Glöckle, and U.-G. Meißner, Nucl. Phys. A637, 107 (1998); A671, 295 (2000).
21. E. Epelbaum, W. Glöckle, and U.-G. Meißner, Nucl. Phys. A637, 107 (1998); A671, 295 (2000).
22. D.R. Entem and R. Machleidt, Phys. Lett. B 524, 93 (2002).
23. D.B. Kaplan, M.J. Savage, and M.B. Wise, Nucl. Phys. B478, 629 (1996); D.B. Kaplan, ibid. B494, 471 (1997); D.B. Kaplan, M.J. Savage, and M.B. Wise, ibid. B534, 329 (1998); Phys. Lett. B 424, 390 (1998).
24. D.B. Kaplan, M.J. Savage, and M.B. Wise, Nucl. Phys. B478, 629 (1996); D.B. Kaplan, ibid. B494, 471 (1997); D.B. Kaplan, M.J. Savage, and M.B. Wise, ibid. B534, 329 (1998); Phys. Lett. B 424, 390 (1998).
25. D.B. Kaplan M.J. Savage, and M.B. Wise, Nucl. Phys. B478, 629 (1996); D.B. Kaplan, ibid. B494, 471 (1997); D.B. Kaplan, M.J. Savage, and M.B. Wise, ibid. B534, 329 (1998); Phys. Lett. B 424, 390 (1998).
26. D.B. Kaplan, M.J. Savage, and M. B Wise, Nucl. Phys. B478, 629 (1996); D.B. Kaplan, ibid. B494, 471 (1997); D.B. Kaplan, M.J. Savage, and M.B. Wise, ibid. B534, 329 (1998); Phys. Lett. B 424, 390 (1998).
27. R.J. Furnstahl, B.D. Serot, and H.-B. Tang, Nucl. Phys. A615, 441 (1997); J.V. Steel and R.J. Furnstahl, ibid. A637, 46 (1998); R.J. Furnstahl, J.V. Steel and N. Tirfessa, ibid. A671, 396 (2000): R.J. Furnstahl, H.W. Hammer, and N. Tirfessa, ibid. A689, 846 (2001).
28. R.J. Furnstahl, B.D. Serot, and H.-B. Tang, Nucl. Phys. A615, 441 (1997); J.V. Steel and R.J. Furnstahl, ibid. A637, 46 (1998); R.J. Furnstahl, J.V. Steel and N. Tirfessa, ibid. A671, 396 (2000): R.J. Furnstahl, H.W. Hammer, and N. Tirfessa, ibid. A689, 846 (2001).
29. R.J. Furnstahl, B.D. Serot, and H.-B. Tang, Nucl. Phys. A615, 441 (1997); J.V. Steel and R.J. Furnstahl, ibid. A637, 46 (1998); R.J. Furnstahl, J.V. Steel and N. Tirfessa, ibid. A671, 396 (2000): R.J. Furnstahl, H.W. Hammer, and N. Tirfessa, ibid. A689, 846 (2001).
30. R.J. Furnstahl, B.D. Serot, and H.-B. Tang, Nucl. Phys. A615, 441 (1997); J.V. Steel and R.J. Furnstahl, ibid. A637, 46 (1998); R.J. Furnstahl, J.V. Steel and N. Tirfessa, ibid. A671, 396 (2000): R.J. Furnstahl, H.W. Hammer, and N. Tirfessa, ibid. A689, 846 (2001).
31. T.-S. Park, K. Kubodera, D.P. Min, and M. Rho, Phys. Rev. C 58, 637 (1998); Nucl. Phys. A646, 83 (1999).
32. T.-S. Park, K. Kubodera, D.P. Min, and M. Rho, Phys. Rev. C 58, 637 (1998); Nucl. Phys. A646, 83 (1999).
33. T.D. Cohen, Phys. Rev. C 55, 67 (1997); D.R. Phillips and T.D. Cohen, Phys. Lett. B 390, 7 (1997); K.A. Scaldeferri, D.R. Phillips, C.W. Kao, and T.D. Cohen, Phys. Rev. C 56, 679 (1997); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632, 445 (1998).
34. T.D. Cohen, Phys. Rev. C 55, 67 (1997); D.R. Phillips and T.D. Cohen, Phys. Lett. B 390, 7 (1997); K.A. Scaldeferri, D.R. Phillips, C.W. Kao, and T.D. Cohen, Phys. Rev. C 56, 679 (1997); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632, 445 (1998).
35. T.D. Cohen, Phys. Rev. C 55, 67 (1997); D.R. Phillips and T.D. Cohen, Phys. Lett. B 390, 7 (1997); K.A. Scaldeferri, D.R. Phillips, C.W. Kao, and T.D. Cohen, Phys. Rev. C 56, 679 (1997); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632, 445 (1998).
36. T.D. Cohen, Phys. Rev. C 55, 67 (1997); D.R. Phillips and T.D. Cohen, Phys. Lett. B 390, 7 (1997); K.A. Scaldeferri, D.R. Phillips, C.W. Kao, and T.D. Cohen, Phys. Rev. C 56, 679 (1997); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632, 445 (1998).
37. G. Rupak and N. Shoresh, nucl-th/9906077; P.F. Bedaque, H.W. Hammer, and U. van Kolck, Nucl. Phys. A676, 357 (2000); S. Fleming, Th. Mehen, and I.W. Stewart, ibid., A677, 313 (2000); Phys. Rev. C 61, 044005 (2000).
38. G. Rupak and N. Shoresh, nucl-th/9906077; P.F. Bedaque, H.W. Hammer, and U. van Kolck, Nucl. Phys. A676, 357 (2000); S. Fleming, Th. Mehen, and I.W. Stewart, ibid., A677, 313 (2000); Phys. Rev. C 61, 044005 (2000).
39. G. Rupak and N. Shoresh, nucl-th/9906077; P.F. Bedaque, H.W. Hammer, and U. van Kolck, Nucl. Phys. A676, 357 (2000); S. Fleming, Th. Mehen, and I.W. Stewart, ibid., A677, 313 (2000); Phys. Rev. C 61, 044005 (2000).
40. G. Rupak and N. Shoresh, nucl-th/9906077; P.F. Bedaque, H.W. Hammer, and U. van Kolck, Nucl. Phys. A676, 357 (2000); S. Fleming, Th. Mehen, and I.W. Stewart, ibid., A677, 313 (2000); Phys. Rev. C 61, 044005 (2000).
41. S.R. Bean, P.F. Bedaque, M.J. Savage, and U. van Kolck, Nucl. Phys. A700, 377 (2002).
42. M.C.M. Rentmeester, R.G.E. Timmermans, J.L. Friar, and J.J. de Swart, Phys. Rev. Lett. 82, 4992 (1999).
43. N. Fettes, U.-G. Meißner, and S. Steiniger, Nucl. Phys. A640, 199 (1998).
44. N. Fettes, U.-G. Meißner, M. Mojžiš, and S. Steininger, Ann. Phys. (N.Y.) 283, 273 (2000); 288, 249 (2001).
45. N. Fettes, U.-G. Meißner, M. Mojžiš, and S. Steininger, Ann. Phys. (N.Y.) 283, 273 (2000); 288, 249 (2001).
46. V. Stoks, R. Timmermans, and J.J. de Swart, Phys. Rev. C 47, 512 (1993).
47. R.A. Arndt, R.L. Workman, and M.M. Pavan, Phys. Rev. C 49, 2729 (1994).
48. Particle Data Group, D.E. Groom et al., Eur. Phys. J.C. 15, 1 (2000).
49. P. Büttiker and U.-G. Meißner, Nucl. Phys. A668, 97 (2000).
50. V. Bernard, N. Kaiser, and U.-G. Meißner, Int. J. Mod. Phys. E 4, 193 (1995).
51. G.Q. Li and R. Machleidt, Phys. Rev. C 58, 3153 (1998).
52. M. Jacob and G.C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959).
53. J. Goto and S. Machida, Prog. Theor. Phys. 25, 64 (1961).
54. J(0)].
55. H.P. Stapp, T.J. Ypsilantis, and N. Metropolis, Phys. Rev. 105, 302 (1957).
56. V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, and J.J. de Swart, Phys. Rev. C 48, 792 (1993).
57. R.A. Arndt, I.I. Strakovsky, and R.L. Workman, computer code SAID, Scattering Analysis Interactive Dial-in computer facility, Virginia Polytechnic Institute and George Washington University, solution SM99, 1999; for more information see, e.g., R.A. Arndt, I.I. Strakovsky, and R.L. Workman, Phys. Rev. C 50, 2731 (1994).
58. R.A. Arndt, I.I. Strakovsky, and R.L. Workman, computer code SAID, Scattering Analysis Interactive Dial-in computer facility, Virginia Polytechnic Institute and George Washington University, solution SM99, 1999; for more information see, e.g., R.A. Arndt, I.I. Strakovsky, and R.L. Workman, Phys. Rev. C 50, 2731 (1994).
59. R. Machleidt, K. Holinde, and Ch. Elster, Phys. Rep. 149, 1 (1987).
60. 2/4π= 13.6 (cf. footnote a of Table I). This is the main reason for the light "discrepancies" between N3LO and Bonn that seem to show up in some of the H waves Fig. 9).
61. 4LO contribution may prevailingly be repulsive [N. Kaiser (private communication)].
62. G.E. Brown and A.D. Jackson, The Nucleon-Nucleon Interaction (North-Holland, Amsterdam. 1976).
63. R. Vinh Mau, in Mesons in Nuclei, edited by M. Rho and D.H. Wilkinson (North-Holland, Amsterdam. 1979), Vol. I, p. 151; M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, J. Côté, P. Pires, and R. de Tourreil, Phys. Rev. C 21, 861 (1980).
64. R. Vinb Mau, in Mesons in Nuclei, edited by M. Rho and D.H. Wilkinson (North-Holland, Amsterdam. 1979), Vol. I, p. 151; M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, J. Côté, P. Pires, and R. de Tourreil, Phys. Rev. C 21, 861 (1980).
65. E. Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U.-G. Meißner, and H. Witala, "Few-Nucleon Systems with Two-Nucleon Forces from Chiral Effective Field Theory," nucl-th/0201064.
66. M. Chemtob, J.W. Durso, and D.O. Riska, Nucl. Phys. B38, 141 (1972); A.D. Jackson, D.O. Riska, and B. Verwest, Nucl. Phys. A249, 397 (1975).
67. M. Chemtob, J.W. Durso, and D.O. Riska, Nucl. Phys. B38, 141 (1972); A.D. Jackson, D.O. Riska, and B. Verwest, Nucl. Phys. A249, 397 (1975).
68. R. Vinh Man, J.M. Richard, B. Loiseau, M. Lacombe, and W.M. Cottingham, Phys. Lett. 44B, 1 (1973); M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, P. Pires, and R. de Tourreil, Phys. Rev. D 12, 1495 (1975).
69. R. Vinh Man, J.M. Richard, B. Loiseau, M. Lacombe, and W.M. Cottingham, Phys. Lett. 44B, 1 (1973); M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, P. Pires, and R. de Tourreil, Phys. Rev. D 12, 1495 (1975).
70. 3.