Two-pion exchange contributions to nuclear charge asymmetry

Physical Review C - Nuclear Physics

Volumn 53, Issue 3, 1996, Pages 1154-1160

  Coon, S A ^a,b   Niskanen, J A ^b,c  

^a NEW MEXICO STATE UNIVERSITY   (United States)

^b TRIUMF   (Canada)

^c Department of Physics ^*  (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030540232     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.53.1154     Document Type: Article

References (62)

1. V. F. Kharchenko, N. M. Petrov, and S. A. Storozhenko, Nucl. Phys. A106, 464 (1968).
2. R. A. Brandenburg, G. S. Chulick, Y. E. Kim, D. J. Klepacki, R. Machleidt, A. Picklesimer, and R. M. Thaler, Phys. Rev. C 37, 781 (1988).
3. Y. Wu, S. Ishikawa, and T. Sasakawa, Phys. Rev. Lett. 64, 1875 (1990); 66, 242(E) (1991).
4. Y. Wu, S. Ishikawa, and T. Sasakawa, Phys. Rev. Lett. 64, 1875 (1990); 66, 242(E) (1991).
5. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C 51, 38 (1995); B. S. Pudliner, V. R. Pandharipande, J. Carlson, and R. B. Wiringa, Phys. Rev. Lett. 74, 4396 (1995).
6. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C 51, 38 (1995); B. S. Pudliner, V. R. Pandharipande, J. Carlson, and R. B. Wiringa, Phys. Rev. Lett. 74, 4396 (1995).
7. S. A. Coon and R. C. Barrett, Phys. Rev. C 36, 2189 (1987).
8. T. Goldman, J. A. Henderson, and A. W. Thomas, Few-Body Syst. 12, 123 (1992). For reviews see, for example, G. A. Miller and W. T. H. van Oers, in Symmetries and Fundamental Interactions in Nuclei, edited by W. Haxton and E. M. Henley, (World Scientific, Singapore, 1995): S. A. Coon and M. D. Scadron, Phys. Rev. C 51, 2923 (1995).
9. T. Goldman, J. A. Henderson, and A. W. Thomas, Few-Body Syst. 12, 123 (1992). For reviews see, for example, G. A. Miller and W. T. H. van Oers, in Symmetries and Fundamental Interactions in Nuclei, edited by W. Haxton and E. M. Henley, (World Scientific, Singapore, 1995): S. A. Coon and M. D. Scadron, Phys. Rev. C 51, 2923 (1995).
10. T. Goldman, J. A. Henderson, and A. W. Thomas, Few-Body Syst. 12, 123 (1992). For reviews see, for example, G. A. Miller and W. T. H. van Oers, in Symmetries and Fundamental Interactions in Nuclei, edited by W. Haxton and E. M. Henley, (World Scientific, Singapore, 1995): S. A. Coon and M. D. Scadron, Phys. Rev. C 51, 2923 (1995).
11. D. O. Riska and Y. H. Chu, Nucl. Phys. A235, 499 (1974).
12. S. A. Coon, in Proceedings of the Charge-Symmetry Breaking Workshop, edited by N. E. Davison, J. P. Svenne, and W. T. H. van Oers (TRIUMF, Vancouver, 1981), p. 22.
13. J. V. Noble, in The Interaction Between Medium Energy Nucleons in Nuclei, edited by Hans-Otto Meyer, AIP Conf. Proc. No. 97 (AIP, New York, 1983), p. 83.
14. A discussion of the model dependence of the subtraction of the direct electromagnetic interaction from the pp scattering length can be traced from P. U. Sauer and H. Walliser, J. Phys. G 3, 1513 (1977); M. Rahman and G. A. Miller, Phys. Rev. D 27, 917 (1983); S. Albeverio, L. S. Ferreira, F. Gesztesy, R. Hoegh-Krohn, and L. Streit, Phys. Rev. C 29, 680 (1984).
15. A discussion of the model dependence of the subtraction of the direct electromagnetic interaction from the pp scattering length can be traced from P. U. Sauer and H. Walliser, J. Phys. G 3, 1513 (1977); M. Rahman and G. A. Miller, Phys. Rev. D 27, 917 (1983); S. Albeverio, L. S. Ferreira, F. Gesztesy, R. Hoegh-Krohn, and L. Streit, Phys. Rev. C 29, 680 (1984).
16. A discussion of the model dependence of the subtraction of the direct electromagnetic interaction from the pp scattering length can be traced from P. U. Sauer and H. Walliser, J. Phys. G 3, 1513 (1977); M. Rahman and G. A. Miller, Phys. Rev. D 27, 917 (1983); S. Albeverio, L. S. Ferreira, F. Gesztesy, R. Hoegh-Krohn, and L. Streit, Phys. Rev. C 29, 680 (1984).
17. M. Hossein Partovi and Earle L. Lomon, Phys. Rev. D 2, 1999 (1970).
18. S. A. Coon and M. D. Scadron, Phys. Rev. C 26, 2402 (1982).
19. P. G. Blunden and M. J. Iqbal, Phys. Lett. B 198, 14 (1987).
20. G. F. de Téramond, in Proceedings of the Symposium on Spin and Symmetries, edited by W. D. Ramsay and W. T. H. van Oers (TRIUMF, Vancouver, 1989), p. 235.
21. R. Machleidt, in Advances in Nuclear Physics, edited by J. W. Negele and E. Vogt (Plenum, New York, 1990), Vol. 19, p. 189.
22. J. A. Niskanen, Phys. Rev. C 45, 2648 (1992).
23. E. M. Henley and G. A. Miller, in Mesons in Nuclei, edited by M. Rho and D. Wilkinson (North-Holland, Amsterdam, 1979), Vol. I, p. 416.
24. E. M. Henley, in Isospin in Nuclear Physics, edited by D. H. Wilkinson (North-Holland, Amsterdam, 1969), p. 15.
25. C. Y. Cheung and R. Machleidt, Phys. Rev. C 34, 1181 (1986).
26. J. R. Bergervoet, P. C. van Campen, R. A. M. Klomp, J.-L. de Kok, T. A. Rijken, V. G. J. Stoks, and J. J. de Swart, Phys. Rev. C 41, 1435 (1990); R. A. Arndt, Z. Li, L. D. Roper, and R. L. Workman, Phys. Rev. Lett. 65, 157 (1990); V. Stoks, R. Timmermans, and J. J. de Swart, Phys. Rev. C 47, 512 (1993); V. G. J. Stoks, R. A. M. Klomp, M. C. M. Rentmeester, and J. J. de Swart, ibid. 48, 792 (1993).
27. J. R. Bergervoet, P. C. van Campen, R. A. M. Klomp, J.-L. de Kok, T. A. Rijken, V. G. J. Stoks, and J. J. de Swart, Phys. Rev. C 41, 1435 (1990); R. A. Arndt, Z. Li, L. D. Roper, and R. L. Workman, Phys. Rev. Lett. 65, 157 (1990); V. Stoks, R. Timmermans, and J. J. de Swart, Phys. Rev. C 47, 512 (1993); V. G. J. Stoks, R. A. M. Klomp, M. C. M. Rentmeester, and J. J. de Swart, ibid. 48, 792 (1993).
28. J. R. Bergervoet, P. C. van Campen, R. A. M. Klomp, J.-L. de Kok, T. A. Rijken, V. G. J. Stoks, and J. J. de Swart, Phys. Rev. C 41, 1435 (1990); R. A. Arndt, Z. Li, L. D. Roper, and R. L. Workman, Phys. Rev. Lett. 65, 157 (1990); V. Stoks, R. Timmermans, and J. J. de Swart, Phys. Rev. C 47, 512 (1993); V. G. J. Stoks, R. A. M. Klomp, M. C. M. Rentmeester, and J. J. de Swart, ibid. 48, 792 (1993).
29. J. R. Bergervoet, P. C. van Campen, R. A. M. Klomp, J.-L. de Kok, T. A. Rijken, V. G. J. Stoks, and J. J. de Swart, Phys. Rev. C 41, 1435 (1990); R. A. Arndt, Z. Li, L. D. Roper, and R. L. Workman, Phys. Rev. Lett. 65, 157 (1990); V. Stoks, R. Timmermans, and J. J. de Swart, Phys. Rev. C 47, 512 (1993); V. G. J. Stoks, R. A. M. Klomp, M. C. M. Rentmeester, and J. J. de Swart, ibid. 48, 792 (1993).
30. J. A. Niskanen, M. Sebestyen, and A. W. Thomas, Phys. Rev. C 38, 838 (1988).
31. E. Pedroni et al., Nucl. Phys. A300, 321 (1980).
32. G. A. Miller, B. M. K. Nefkens, and I. Šlaus, Phys. Rep. 194, 1 (1990).
33. B. Gabioud et al., Nucl. Phys. A420, 496 (1982).
34. O. Shori, B. Gabioud, C. Joseph, J. P. Perroud, D. Rüegger, M. T. Tran, P. Truöl, E. Winkelmann, and W. Danme, Phys. Rev. C 35, 2252 (1987).
35. R. A. Brandenburg, S. A. Coon, and P. U. Sauer, Nucl. Phys. A294, 305 (1978).
36. 3He binding energy difference estimated in the manner of Ref. [26] were updated in Ref. [5]. With contemporary measurements of charge form factors of nucleons and A = 3 nuclei the electromagnetic plus pn mass difference contributions total 693±19±5 keV, leaving a value of ΔE = 71±19±5 from that method. This remark corrects the error in Eq. (14) of Ref. [5].
37. R. V. Reid, Ann. Phys. (N.Y.) 50, 411 (1968).
38. R. de Tourreil, B. Rouben, and D. W. L. Sprung, Nucl. Phys. A242, 445 (1975).
39. J. Borysowicz and J. Dabrowski, Phys. Lett. 24B, 125 (1967); J. Dabrowski, F. Fedorynski, P. Haensel, and M. Y. M. Hassan, Phys. Rev. C 4, 1985 (1971).
40. J. Borysowicz and J. Dabrowski, Phys. Lett. 24B, 125 (1967); J. Dabrowski, F. Fedorynski, P. Haensel, and M. Y. M. Hassan, Phys. Rev. C 4, 1985 (1971).
41. L. H. Thomas, Phys. Rev. 47, 903 (1935).
42. H. A. Bethe and R. F. Bacher, Rev. Mod. Phys. 8, 82 (1936).
43. B. F. Gibson and G. J. Stephenson, Jr., Phys. Rev. C 8, 1222 (1973).
44. R. Machleidt, K. Holinde, and Ch. Elster, Phys. Rep. 149, 1 (1987).
45. J. L. Friar, Nucl. Phys. A156, 43 (1970).
46. M. Fabre de la Ripelle, Fizika 4, 1 (1972).
47. J. L. Friar, B. F. Gibson, and G. L. Payne, Phys. Rev. C 35, 1502 (1987).
48. S. A. Coon and M. D. Scadron, Phys. Rev. C 23, 1152 (1981); 42, 2256 (1990).
49. S. A. Coon and M. D. Scadron, Phys. Rev. C 23, 1152 (1981); 42, 2256 (1990).
50. J. Haidenbauer, K. Holinde, and A. W. Thomas, Phys. Rev. C 49, 2331 (1994).
51. J. A. Niskanen, Phys. Lett. 107B, 344 (1981).
52. nn (derived, for example, in [19]) then clearly produces a negative value of Δa, as do our codes. Table 3 of Ref. [13] has a positive value for this quantity in the one-pion exchange case. Table 3 also has a negative value for Δa in the (harder to check) two-pion exchange case in contrast to the result of Ref. [12]. If we reverse the signs of the results of [13], then both early calculations of the (trivial) single-pion exchange and two-pion exchange are in good agreement.
53. S. Weinberg, Los Alamos archives Report No. hep-ph/ 9412326, 1994; U. van Kolck, Ph. D. thesis, University of Texas, 1993; in Low Energy Effective Theories and QCD, edited by D.-P. Min (Man Lim Won, Seoul, 1995).
54. S. Weinberg, Los Alamos archives Report No. hep-ph/ 9412326, 1994; U. van Kolck, Ph. D. thesis, University of Texas, 1993; in Low Energy Effective Theories and QCD, edited by D.-P. Min (Man Lim Won, Seoul, 1995).
55. C. Ordóñez, L. Ray, and U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994).
56. J. L. Friar and S. A. Coon, Phys. Rev. C 49, 1272 (1994). See also M. C. Birse, ibid. 49, 2212 (1994); C. A. da Rocha and M. R. Robilotta, ibid. 49, 1818 (1994); 52, 531 (1995).
57. J. L. Friar and S. A. Coon, Phys. Rev. C 49, 1272 (1994). See also M. C. Birse, ibid. 49, 2212 (1994); C. A. da Rocha and M. R. Robilotta, ibid. 49, 1818 (1994); 52, 531 (1995).
58. J. L. Friar and S. A. Coon, Phys. Rev. C 49, 1272 (1994). See also M. C. Birse, ibid. 49, 2212 (1994); C. A. da Rocha and M. R. Robilotta, ibid. 49, 1818 (1994); 52, 531 (1995).
59. J. L. Friar and S. A. Coon, Phys. Rev. C 49, 1272 (1994). See also M. C. Birse, ibid. 49, 2212 (1994); C. A. da Rocha and M. R. Robilotta, ibid. 49, 1818 (1994); 52, 531 (1995).
60. J. L. Friar and S. A. Coon, Phys. Rev. C 53, 588 (1996).
61. M. J. Iqbal, Xuemin Jin, and Derek B. Leinweber, Los Alamos archives Report No. nucl-th/9507026, 1995; S. Gardner, C. J. Horowitz, and J. Piekarewicz, Phys. Rev. Lett. 75, 2462 (1995).
62. M. J. Iqbal, Xuemin Jin, and Derek B. Leinweber, Los Alamos archives Report No. nucl-th/9507026, 1995; S. Gardner, C. J. Horowitz, and J. Piekarewicz, Phys. Rev. Lett. 75, 2462 (1995).