Advertisement

Applications and Outlook

  • Stefan SchererEmail author
  • Matthias R. Schindler
Chapter
  • 1.8k Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 830)

Abstract

The leading-order Lagrangians \({\fancyscript{L}}_2\) and \({\fancyscript{L}}_{\pi N}^{(1)}\) generate the results of current algebra and the PCAC hypothesis in a straightforward manner: one simply calculates the given process in terms of tree-level diagrams derived from \({\fancyscript{L}}_2\) and \({\fancyscript{L}}_{\pi N}^{(1)}.\) In the previous two chapters we developed techniques to also calculate higher-order (quantum, i.e. loop) corrections in a systematic way. To that end we made use of the EFT approach based on the momentum expansion of the most general Lagrangian compatible with the underlying symmetries of QCD. In the mesonic sector, the combination of dimensional regularization with the modified minimal subtraction scheme of ChPT led to a straightforward correspondence between the loop expansion and the chiral expansion in terms of momenta and quark masses at a fixed ratio, and provided a consistent power counting for renormalized quantities. Although the situation turned out to be more complex in the baryonic sector, we introduced several approaches resulting in consistent power-counting schemes. In this final chapter we will illustrate the methods developed in Chap. 4 by means of a few selected applications beyond tree level.

Keywords

Vector Meson Chiral Perturbation Theory Chiral Limit Power Counting Subtraction Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Actis, S., Passarino, G.: Nucl. Phys. B 777, 100 (2007)MathSciNetADSzbMATHCrossRefGoogle Scholar
  2. 2.
    Actis, S., Passarino, G., Sturm, C., Uccirati, S.: Phys. Lett. B 669, 62 (2008)ADSCrossRefGoogle Scholar
  3. 3.
    Adler, S.L., Gilman, F.J.: Phys. Rev. 152, 1460 (1966)ADSCrossRefGoogle Scholar
  4. 4.
    Ahmed, M.W., Gao, H., Weller, H.R., Holstein, B.R. (eds.) Chiral Dynamics 2006. Proceedings, Workshop, Durham/Chapel Hill, USA, 18–22 September 2006. World Scientific, Singapore (2007)Google Scholar
  5. 5.
    Bär, O.: Nucl. Phys. Proc. Suppl. 140, 106 (2005)ADSCrossRefGoogle Scholar
  6. 6.
    Batley, J.R., et al. NA48/2 Collaboration: Phys. Lett. B 633, 173 (2006)ADSCrossRefGoogle Scholar
  7. 7.
    Beane, S.R., Bedaque, P.F., Haxton, W.C., Phillips, D.R., Savage, M.J.: In: Shifman, M., Ioffe, B. (eds.) At the Frontier of Particle Physics. Handbook of QCD, vol. 1, pp. 133–269. World Scientific, Singapore (2001). arXiv:nucl-th/0008064Google Scholar
  8. 8.
    Beane, S.R., Bedaque, P.F., Savage, M.J., van Kolck, U.: Nucl. Phys. A 700, 377 (2002)ADSzbMATHCrossRefGoogle Scholar
  9. 9.
    Beane, S.R., Kaplan, D.B., Vuorinen, A.: Phys. Rev. C 80, 011001 (2009)ADSCrossRefGoogle Scholar
  10. 10.
    Becher, T., Leutwyler, H.: Eur. Phys. J. C 9, 643 (1999)ADSGoogle Scholar
  11. 11.
    Becher, T., Leutwyler, H.: JHEP 0106, 017 (2001)ADSCrossRefGoogle Scholar
  12. 12.
    Beck, R., et al.: Phys. Rev. Lett. 65, 1841 (1990)ADSCrossRefGoogle Scholar
  13. 13.
    Bernard, V., Kaiser, N., Gasser, J., Meißner, U.-G.: Phys. Lett. B 268, 291 (1991)ADSCrossRefGoogle Scholar
  14. 14.
    Bedaque, P.F., van Kolck, U.: Annu. Rev. Nucl. Part. Sci. 52, 339 (2002)ADSCrossRefGoogle Scholar
  15. 15.
    Bernard, V., Kaiser, N., Kambor, J., Meißner, U.-G.: Nucl. Phys. B 388, 315 (1992)ADSCrossRefGoogle Scholar
  16. 16.
    Bernard, V., Kaiser, N., Meißner, U.-G.: Phys. Rev. Lett. 69, 1877 (1992)ADSCrossRefGoogle Scholar
  17. 17.
    Bernard, V., Kaiser, N., Meißner, U.-G.: Int. J. Mod. Phys. E 4, 193 (1995)ADSCrossRefGoogle Scholar
  18. 18.
    Bernard, V., Fearing, H.W., Hemmert, T.R., Meißner, U.-G.: Nucl. Phys. A 635, 121 (1998) [Erratum, ibid. A 642, 563]ADSCrossRefGoogle Scholar
  19. 19.
    Bernard, V., Kaiser, N., Meißner, U.-G.: Eur. Phys. J. A 11, 209 (2001)ADSCrossRefGoogle Scholar
  20. 20.
    Bernard, V., Elouadrhiri, L., Meißner, U.-G.: J. Phys. G 28, R1 (2002)ADSCrossRefGoogle Scholar
  21. 21.
    Bernard, V., Hemmert, T.R., Meißner, U.-G.: Phys. Lett. B 565, 137 (2003)ADSzbMATHCrossRefGoogle Scholar
  22. 22.
    Bernard, V., Meißner, U.-G.: Phys. Lett. B 639, 278 (2006)ADSCrossRefGoogle Scholar
  23. 23.
    Bernard, V., Meißner, U.-G.: Annu. Rev. Nucl. Part. Sci. 57, 33 (2007)ADSCrossRefGoogle Scholar
  24. 24.
    Bernard, V.: Prog. Part. Nucl. Phys. 60, 82 (2008)ADSCrossRefGoogle Scholar
  25. 25.
    Bernstein, A.M., Holstein, B.R. (eds.) Chiral Dynamics: Theory and Experiment. Proceedings, Workshop, Cambridge, USA, 25–29 July 1994. Lect. Notes Phys. 452. Springer, Berlin (1995)Google Scholar
  26. 26.
    Bernstein, A.M., Drechsel, D., Walcher, Th. (eds.) Chiral Dynamics: Theory and Experiment. Proceedings, Workshop, Mainz, Germany, 1–5 September 1997. Lect. Notes Phys. 513. Springer, Berlin (1998)Google Scholar
  27. 27.
    Bernstein, A.M., Goity, J.L., Meißner, U.-G. (eds.) Chiral Dynamics: Theory and Experiment III. Proceedings, Workshop, Jefferson Laboratory, USA, 17–20 July 2000. World Scientific, Singapore (2002)Google Scholar
  28. 28.
    Bijnens, J.: Int. J. Mod. Phys. A 8, 3045 (1993)ADSCrossRefGoogle Scholar
  29. 29.
    Bijnens, J.: Prog. Part. Nucl. Phys. 58, 521 (2007)ADSCrossRefGoogle Scholar
  30. 30.
    Bijnens, J.: In: PoS (CD09), 031 (2009)Google Scholar
  31. 31.
    Birse, M.C.: Phys. Rev. C 74, 014003 (2006)ADSCrossRefGoogle Scholar
  32. 32.
    Birse, M.C., McGovern, J.: In: Close, F., Donnachie, S., Shaw, G. (eds.) Electromagnetic Interactions and Hadronic Structure, pp. 229–270. Cambridge University Press, Cambridge (2007)Google Scholar
  33. 33.
    Bissegger, M., Fuhrer, A., Gasser, J., Kubis, B., Rusetsky, A.: Phys. Lett. B 659, 576 (2008)ADSCrossRefGoogle Scholar
  34. 34.
    Borasoy, B., Meißner, U.-G.: Ann. Phys. 254, 192 (1997)ADSCrossRefGoogle Scholar
  35. 35.
    Borasoy, B., Bruns, P.C., Meißner, U.-G., Nissler, R.: Eur. Phys. J. A 34, 161 (2007)ADSCrossRefGoogle Scholar
  36. 36.
    Bruns, P.C., Meißner, U.-G.: Eur. Phys. J. C 40, 97 (2005)ADSCrossRefGoogle Scholar
  37. 37.
    Bruns, P.C., Meißner, U.-G.: Eur. Phys. J. C 58, 407 (2008)ADSCrossRefGoogle Scholar
  38. 38.
    Buettiker, P., Meißner, U.-G.: Nucl. Phys. A 668, 97 (2000)ADSCrossRefGoogle Scholar
  39. 39.
    Büchler, M., Colangelo, G.: Eur. Phys. J. C 32, 427 (2003)ADSCrossRefGoogle Scholar
  40. 40.
    Burgess, C.P.: Phys. Rep. 330, 193 (2000)ADSCrossRefGoogle Scholar
  41. 41.
    Cabibbo, N.: Phys. Rev. Lett. 93, 121801 (2004)ADSCrossRefGoogle Scholar
  42. 42.
    Cabibbo, N., Isidori, G.: JHEP 0503, 021 (2005)ADSCrossRefGoogle Scholar
  43. 43.
    Carlson, C.E., Vanderhaeghen, M.: Phys. Rev. Lett. 100, 032004 (2008)ADSCrossRefGoogle Scholar
  44. 44.
    Colangelo, G., Isidori G.: arXiv:hep-ph/0101264Google Scholar
  45. 45.
    Colangelo, G., et al. (eds.) Chiral Dynamics. Proceedings, Workshop, Bern, Switzerland, 6–10 July 2009. Proceedings of Science. PoS CD09 (2009)Google Scholar
  46. 46.
    Collins, J.C.: Renormalization. Cambridge University Press, Cambridge (1984)Google Scholar
  47. 47.
    Creutz, M.: Quarks, Gluons and Lattices. Cambridge University Press, Cambridge (1983)Google Scholar
  48. 48.
    De Baenst, P.: Nucl. Phys. B 24, 633 (1970)ADSCrossRefGoogle Scholar
  49. 49.
    Denner, A., Dittmaier, S., Roth, M., Wackeroth, D.: Nucl. Phys. B 560, 33 (1999)ADSCrossRefGoogle Scholar
  50. 50.
    Denner, A., Dittmaier, S., Roth, M., Wieders, L.H.: Nucl. Phys. B 724, 247 (2005)ADSCrossRefGoogle Scholar
  51. 51.
    de Rafael, E.: CP violation and the limits of the standard model. In: Donoghue, J.F. (ed.) Proceedings of the 1994 Advanced Theoretical Study Institute in Elementary Particle Physics, Boulder, Colorado, 29 May–24 June 1994. World Scientific, Singapore (1995)Google Scholar
  52. 52.
    d’Hose, N., et al.: Prog. Part. Nucl. Phys. 44, 371 (2000)ADSCrossRefGoogle Scholar
  53. 53.
    Djukanovic, D., Schindler, M.R., Gegelia, J., Scherer, S.: Phys. Rev. D 72, 045002 (2005)ADSCrossRefGoogle Scholar
  54. 54.
    Djukanovic, D., Gegelia, J., Scherer, S.: Eur. Phys. J. A 29, 337 (2006)ADSCrossRefGoogle Scholar
  55. 55.
    Djukanovic, D., Gegelia, J., Keller, A., Scherer, S.: Phys. Lett. B 680, 235 (2009)ADSCrossRefGoogle Scholar
  56. 56.
    Djukanovic, D., Gegelia, J., Scherer, S.: Phys. Lett. B 690, 123 (2010)ADSCrossRefGoogle Scholar
  57. 57.
    Donoghue, F., Holstein, B.R., Borasoy, B.: Phys. Rev. D 59, 036002 (1999)ADSCrossRefGoogle Scholar
  58. 58.
    Drechsel, D., Knöchlein, G., Metz, A., Scherer, S.: Phys. Rev. C 55, 424 (1997)ADSCrossRefGoogle Scholar
  59. 59.
    Drechsel, D., Knöchlein, G., Korchin, A.Y., Metz, A., Scherer, S.: Phys. Rev. C 57, 941 (1998)ADSCrossRefGoogle Scholar
  60. 60.
    Drechsel, D., Pasquini, B., Vanderhaeghen, M.: Phys. Rep. 378, 99 (2003)ADSCrossRefGoogle Scholar
  61. 61.
    Drechsel, D., Walcher, Th.: Rev. Mod. Phys. 80, 731 (2008)ADSCrossRefGoogle Scholar
  62. 62.
    Ecker, G., Gasser, J., Pich, A., de Rafael, E.: Nucl. Phys. B 321, 311 (1989)ADSCrossRefGoogle Scholar
  63. 63.
    Ecker, G., Gasser, J., Leutwyler, H., Pich, A., de Rafael, E.: Phys. Lett. B 223, 425 (1989)ADSCrossRefGoogle Scholar
  64. 64.
    Ecker, G.: Prog. Part. Nucl. Phys. 35, 1 (1995)ADSCrossRefGoogle Scholar
  65. 65.
    Ecker, G., Mojžiš, M.: Phys. Lett. B 365, 312 (1996)ADSCrossRefGoogle Scholar
  66. 66.
    Ecker, G.: arXiv:hep-ph/9805500Google Scholar
  67. 67.
    Ellis, P.J., Torikoshi, K.: Phys. Rev. C 61, 015205 (2000)ADSCrossRefGoogle Scholar
  68. 68.
    Epelbaum, E., Hammer, H.W., Meißner, U.-G.: Rev. Mod. Phys. 81, 1773 (2009)ADSCrossRefGoogle Scholar
  69. 69.
    Epelbaum, E., Gegelia, J.: Eur. Phys. J. A 41, 341 (2009)ADSCrossRefGoogle Scholar
  70. 70.
    Fäldt, G.: Nucl. Phys. A 333, 357 (1980)ADSCrossRefGoogle Scholar
  71. 71.
    Fearing, H.W., Lewis, R., Mobed, N., Scherer, S.: Phys. Rev. D 56, 1783 (2007)ADSCrossRefGoogle Scholar
  72. 72.
    Fettes, N., Meißner, U.-G., Mojžiš, M., Steininger, S.: Ann. Phys. 283, 273 (2001) [Erratum, ibid. 288, 249 (2001)]ADSGoogle Scholar
  73. 73.
    Fleming, S., Mehen, T., Stewart, I.W.: Nucl. Phys. A 677, 313 (2000)ADSCrossRefGoogle Scholar
  74. 74.
    Fonvieille, H.: Prog. Part. Nucl. Phys. 55, 198 (2005)ADSCrossRefGoogle Scholar
  75. 75.
    Friedrich, J., Walcher, Th.: Eur. Phys. J. A 17, 607 (2003)ADSCrossRefGoogle Scholar
  76. 76.
    Fuchs, T., Gegelia, J., Japaridze, G., Scherer, S.: Phys. Rev. D 68, 056005 (2003)ADSCrossRefGoogle Scholar
  77. 77.
    Fuchs, T., Scherer, S.: Phys. Rev. C 68, 055501 (2003)ADSCrossRefGoogle Scholar
  78. 78.
    Fuchs, T., Schindler, M.R., Gegelia, J., Scherer, S.: Phys. Lett. B 575, 11 (2003)ADSzbMATHCrossRefGoogle Scholar
  79. 79.
    Fuchs, T., Gegelia, J., Scherer, S.: J. Phys. G 30, 1407 (2004)ADSCrossRefGoogle Scholar
  80. 80.
    Gasparyan, A., Lutz, M.F.M.: Nucl. Phys. A 848, 126 (2010)ADSCrossRefGoogle Scholar
  81. 81.
    Gasser, J., Leutwyler, H.: Ann. Phys. 158, 142 (1984)MathSciNetADSCrossRefGoogle Scholar
  82. 82.
    Gasser, J., Leutwyler, H.: Nucl. Phys. B 250, 539 (1985)ADSCrossRefGoogle Scholar
  83. 83.
    Gasser, J., Sainio, M.E., Švarc, A.: Nucl. Phys. B 307, 779 (1988)ADSCrossRefGoogle Scholar
  84. 84.
    Gasser, J., Leutwyler, H., Sainio, M.E.: Phys. Lett. B 253, 252 (1991)ADSCrossRefGoogle Scholar
  85. 85.
    Gasser, J., Rusetsky, A., Scimemi, I.: Eur. Phys. J. C 32, 97 (2003)ADSCrossRefGoogle Scholar
  86. 86.
    Gasser, J.: Lect. Notes Phys. 629, 1 (2004)ADSGoogle Scholar
  87. 87.
    Gattringer, C., Lang, C.B.: Quantum Chromodynamics on the Lattice: An Introductory Presentation. Lect. Notes Phys. 788. Springer, Berlin (2010)Google Scholar
  88. 88.
    Gegelia, J.: arXiv:nucl-th/9806028Google Scholar
  89. 89.
    Gegelia, J., Scherer, S.: Int. J. Mod. Phys. A 21, 1079 (2006)ADSCrossRefGoogle Scholar
  90. 90.
    Gellas, G.C., Hemmert, T.R., Meißner, U.-G.: Phys. Rev. Lett. 85, 14 (2000)ADSCrossRefGoogle Scholar
  91. 91.
    Gell-Mann, M., Goldberger, M.L.: Phys. Rev. 96, 1433 (1954)MathSciNetADSzbMATHCrossRefGoogle Scholar
  92. 92.
    Geng, L.S., Martin Camalich, J., Alvarez-Ruso, L., Vacas, M.J.V.: Phys. Rev. Lett. 101, 222002 (2008)ADSCrossRefGoogle Scholar
  93. 93.
    Gensini, P.M.: πN Newslett. 6, 21 (1998)Google Scholar
  94. 94.
    Golterman, M.: arXiv:0912.4042 [hep-lat]Google Scholar
  95. 95.
    Grießhammer, H.W., Hemmert, T.R.: Phys. Rev. C 65, 045207 (2002)ADSCrossRefGoogle Scholar
  96. 96.
    Guichon, P.A.M., Liu, G.Q., Thomas, A.W.: Nucl. Phys. A 591, 606 (1995)ADSCrossRefGoogle Scholar
  97. 97.
    Guichon, P.A.M., Vanderhaeghen, M.: Prog. Part. Nucl. Phys. 41, 125 (1998)ADSCrossRefGoogle Scholar
  98. 98.
    Hacker, C., Wies, N., Gegelia, J., Scherer, S.: Phys. Rev. C 72, 055203 (2005)ADSCrossRefGoogle Scholar
  99. 99.
    Hägler, Ph.: Phys. Rep. 490, 99 (2010)CrossRefGoogle Scholar
  100. 100.
    Hammer, H.W., Puglia, S.J., Ramsey-Musolf, M.J., Zhu, S.L.: Phys. Lett. B 562, 208 (2003)ADSCrossRefGoogle Scholar
  101. 101.
    Hammer, H.W., Meißner, U.-G.: Eur. Phys. J. A 20, 469 (2004)ADSCrossRefGoogle Scholar
  102. 102.
    Hemmert, T.R., Holstein, B.R., Knöchlein, G., Scherer, S.: Phys. Rev. D 55, 2630 (1997)ADSCrossRefGoogle Scholar
  103. 103.
    Hemmert, T.R., Holstein, B.R., Kambor, J.: Phys. Rev. D 55, 5598 (1997)ADSCrossRefGoogle Scholar
  104. 104.
    Hemmert, T.R., Holstein, B.R., Knöchlein, G., Scherer, S.: Phys. Rev. Lett. 79, 22 (1997)ADSCrossRefGoogle Scholar
  105. 105.
    Hemmert, T.R., Holstein, B.R., Kambor, J., Knöchlein, G.: Phys. Rev. D 57, 5746 (1998)ADSCrossRefGoogle Scholar
  106. 106.
    Hemmert, T.R., Holstein, B.R., Knöchlein, G., Drechsel, D.: Phys. Rev. D 62, 014013 (2000)ADSCrossRefGoogle Scholar
  107. 107.
    Höhler, G.: Against Breit-Wigner parameters—a pole-emic. In: Caso, C., et al. (eds.) Particle Data Group, Eur. Phys. J. C 3, p. 624 (1998)Google Scholar
  108. 108.
    Hyde-Wright, C.E., de Jager, K.: Annu. Rev. Nucl. Part. Sci. 54, 217 (2004)ADSCrossRefGoogle Scholar
  109. 109.
    Kaiser, N., Siegel, P.B., Weise, W.: Nucl. Phys. A 594, 325 (1995)ADSCrossRefGoogle Scholar
  110. 110.
    Kaiser, N., Siegel, P.B., Weise, W.: Phys. Lett. B 362, 23 (1995)ADSCrossRefGoogle Scholar
  111. 111.
    Kao, C.W., Vanderhaeghen, M.: Phys. Rev. Lett. 89, 272002 (2002)ADSCrossRefGoogle Scholar
  112. 112.
    Kao, C.W., Pasquini, B., Vanderhaeghen, M.: Phys. Rev. D 70, 114004 (2004)ADSCrossRefGoogle Scholar
  113. 113.
    Kaplan, D.B., Savage, M.J., Wise, M.B.: Nucl. Phys. B 478, 629 (1996)ADSCrossRefGoogle Scholar
  114. 114.
    Kaplan, D.B., Savage, M.J., Wise, M.B.: Phys. Lett. B 424, 390 (1998)ADSCrossRefGoogle Scholar
  115. 115.
    Kaplan, D.B., Savage, M.J., Wise, M.B.: Nucl. Phys. B 534, 329 (1998)ADSCrossRefGoogle Scholar
  116. 116.
    Kirscher, J., Grießhammer, H.W., Shukla, D., Hofmann, H.M.: Eur. Phys. J. A 44, 239 (2010)ADSCrossRefGoogle Scholar
  117. 117.
    Knecht, M., Neufeld, H., Rupertsberger, H., Talavera, P.: Eur. Phys. J. C 12, 469 (2000)ADSCrossRefGoogle Scholar
  118. 118.
    Kolomeitsev, E.E., Lutz, M.F.M.: Phys. Lett. B 585, 243 (2004)ADSCrossRefGoogle Scholar
  119. 119.
    Kubis, B., Meißner, U.-G.: Nucl. Phys. A 679, 698 (2001)ADSCrossRefGoogle Scholar
  120. 120.
    Kubis, B., Meißner, U.-G.: Eur. Phys. J. C 18, 747 (2001)ADSCrossRefGoogle Scholar
  121. 121.
    Kubis, B.: arXiv:hep-ph/0703274Google Scholar
  122. 122.
    Lehnhart, B.C., Gegelia, J., Scherer, S.: J. Phys. G 31, 89 (2005)ADSCrossRefGoogle Scholar
  123. 123.
    Leinweber, D.B., Cohen, T.D.: Phys. Rev. D 49, 3512 (1994)ADSCrossRefGoogle Scholar
  124. 124.
    Leinweber, D.B., Thomas, A.W., Tsushima, K., Wright, S.V.: Phys. Rev. D 64, 094502 (2001)ADSCrossRefGoogle Scholar
  125. 125.
    Lensky, V., Pascalutsa, V.: Eur. Phys. J. C 65, 195 (2010)ADSCrossRefGoogle Scholar
  126. 126.
    Leutwyler, H.: In: Ellis, R.K., Hill, C.T., Lykken, J.D. (eds.) Perspectives in the Standard Model. Proceedings of the 1991 Theoretical Advanced Study Institute in Elementary Particle Physics, Boulder, Colorado, 2–28 June 1991. World Scientific, Singapore (1992)Google Scholar
  127. 127.
    Leutwyler, H.: In: Herscovitz, V.E. (ed.) Hadron Physics 94: Topics on the Structure and Interaction of Hadronic Systems, Proceedings, Workshop, Gramado, Brasil. World Scientific, Singapore (1995)Google Scholar
  128. 128.
    Leutwyler, H.: πN Newslett. 15, 1 (1999)Google Scholar
  129. 129.
    Liesenfeld, A., et al., A1 Collaboration: Phys. Lett. B 468, 20 (1999)ADSCrossRefGoogle Scholar
  130. 130.
    Low, F.E.: Phys. Rev. 96, 1428 (1954)MathSciNetADSzbMATHCrossRefGoogle Scholar
  131. 131.
    L’vov, A.I., Scherer, S., Pasquini, B., Unkmeir, C., Drechsel, D.: Phys. Rev. C 64, 015203 (2001)ADSCrossRefGoogle Scholar
  132. 132.
    Lyubovitskij, V.E., Gutsche, T., Faessler, A., Drukarev, E.G.: Phys. Rev. D 63, 054026 (2001)ADSCrossRefGoogle Scholar
  133. 133.
    Lutz, M.F.M., Kolomeitsev, E.E.: Nucl. Phys. A 730, 392 (2004)ADSCrossRefGoogle Scholar
  134. 134.
    Manohar, A.V.: Lectures given at 35th Int. Universitätswochen für Kern- und Teilchenphysik: Perturbative and Nonperturbative Aspects of Quantum Field Theory. Schladming, Austria 2–9 March 1996. arXiv:hep-ph/9606222 (1996)Google Scholar
  135. 135.
    Mazzucato, E., et al.: Phys. Rev. Lett. 57, 3144 (1986)ADSCrossRefGoogle Scholar
  136. 136.
    McGovern, J.A., Birse, M.C.: Phys. Lett. B 446, 300 (1999)MathSciNetADSCrossRefGoogle Scholar
  137. 137.
    Meißner, U.-G.: Rep. Prog. Phys. 56, 903 (1993)ADSCrossRefGoogle Scholar
  138. 138.
    Meißner, U.-G., Steininger, S.: Nucl. Phys. B 499, 349 (1997)ADSCrossRefGoogle Scholar
  139. 139.
    Meißner, U.-G., Oller, J.A.: Nucl. Phys. A 673, 311 (2000)ADSCrossRefGoogle Scholar
  140. 140.
    Meißner, U.-G., Hammer, H.W., Wirzba, A. (eds.) Chiral Dynamics: Theory and Experiment (CD2003). Mini-Proceedings, Workshop, Bonn, Germany, 8–13 September 2003, arXiv:hep-ph/0311212 (2003)Google Scholar
  141. 141.
    Meißner, U.-G.: In: PoS (LAT2005), 009 (2005)Google Scholar
  142. 142.
    Mergell, P., Meißner, U.-G., Drechsel, D.: Nucl. Phys. A 596, 367 (1996)ADSCrossRefGoogle Scholar
  143. 143.
    Miller, G.A.: Phys. Rev. Lett. 99, 112001 (2007)ADSCrossRefGoogle Scholar
  144. 144.
    Müller, G., Meißner, U.-G.: Nucl. Phys. B 556, 265 (1999)CrossRefGoogle Scholar
  145. 145.
    Neufeld, H., Rupertsberger, H.: Z. Phys. C 71, 131 (1996)ADSCrossRefGoogle Scholar
  146. 146.
    Nogga, A., Timmermans, R.G.E., van Kolck, U.: Phys. Rev. C 72, 054006 (2005)ADSCrossRefGoogle Scholar
  147. 147.
    Oller, J.A., Oset, E., Ramos, A.: Prog. Part. Nucl. Phys. 45, 157 (2000)ADSCrossRefGoogle Scholar
  148. 148.
    Oset, E., Ramos, A.: Nucl. Phys. A 635, 99 (1998)ADSCrossRefGoogle Scholar
  149. 149.
    Pascalutsa, V., Phillips, D.R.: Phys. Rev. C 68, 055205 (2003)ADSCrossRefGoogle Scholar
  150. 150.
    Pagels, H.: Phys. Rep. 16, 219 (1975)MathSciNetADSCrossRefGoogle Scholar
  151. 151.
    Pavan, M.M., Strakovsky, I.I., Workman, R.L., Arndt, R.A.: πN Newslett. 16, 110 (2002)Google Scholar
  152. 152.
    Pavon Valderrama, M., Ruiz Arriola, E.: Phys. Rev. C 70, 044006 (2004)ADSCrossRefGoogle Scholar
  153. 153.
    Phillips, D.R.: Czech. J. Phys. 52, B49 (2002)CrossRefGoogle Scholar
  154. 154.
    Phillips, D.R.: J. Phys. G 36, 104004 (2009)ADSCrossRefGoogle Scholar
  155. 155.
    Pich, A.: Rept. Prog. Phys. 58, 563 (1995)ADSCrossRefGoogle Scholar
  156. 156.
    Pich, A.: In: Gupta, R., Morel, A., de Rafael, E., David, F. (eds.) Probing the Standard Model of Particle Interactions. Proceedings of the Les Houches Summer School in Theoretical Physics, Session 68, Les Houches, France, 28 July–5 September 1997. Elsevier, Amsterdam (1999)Google Scholar
  157. 157.
    Platter, L.: Few Body Syst. 46, 139 (2009)ADSCrossRefGoogle Scholar
  158. 158.
    Ragusa, S.: Phys. Rev. D 47, 3757 (1993)ADSCrossRefGoogle Scholar
  159. 159.
    Reya, E.: Rev. Mod. Phys. 46, 545 (1974)MathSciNetADSCrossRefGoogle Scholar
  160. 160.
    Rothe, H.J.: Lattice Gauge Theories: An Introduction, 3rd edn. World Sci. Lect. Notes Phys., vol. 74. World Scientific, Singapore (2005)Google Scholar
  161. 161.
    Rusetsky, A.: In: PoS (CD09) 071 (2009)Google Scholar
  162. 162.
    Sainio, M.E.: πN Newslett. 16, 138 (2002)Google Scholar
  163. 163.
    Sakurai, J.J.: Currents and Mesons. University of Chicago Press, Chicago (1969)Google Scholar
  164. 164.
    Scherer, S., Koch, J.H.: Nucl. Phys. A 534, 461 (1991)ADSCrossRefGoogle Scholar
  165. 165.
    Scherer, S., Korchin, A.Y., Koch, J.H.: Phys. Rev. C 54, 904 (1996)ADSCrossRefGoogle Scholar
  166. 166.
    Scherer, S.: Adv. Nucl. Phys. 27, 277 (2003)CrossRefGoogle Scholar
  167. 167.
    Scherer, S.: Prog. Part. Nucl. Phys. 64, 1 (2010)ADSCrossRefGoogle Scholar
  168. 168.
    Schindler, M.R., Gegelia, J., Scherer, S.: Phys. Lett. B 586, 258 (2004)ADSCrossRefGoogle Scholar
  169. 169.
    Schindler, M.R., Gegelia, J., Scherer, S.: Eur. Phys. J. A 26, 1 (2005)ADSCrossRefGoogle Scholar
  170. 170.
    Schindler, M.R., Djukanovic, D., Gegelia, J., Scherer, S.: Phys. Lett. B 649, 390 (2007)ADSCrossRefGoogle Scholar
  171. 171.
    Schindler, M.R., Djukanovic, D., Gegelia, J., Scherer, S.: Nucl. Phys. A 803, 68 (2008)ADSCrossRefGoogle Scholar
  172. 172.
    Schmidt, A., et al.: Phys. Rev. Lett. 87, 232501 (2001)ADSCrossRefGoogle Scholar
  173. 173.
    Schumacher, M.: Prog. Part. Nucl. Phys. 55, 567 (2005)ADSCrossRefGoogle Scholar
  174. 174.
    Sharpe, S.R.: arXiv:hep-lat/0607016Google Scholar
  175. 175.
    Stetcu, I., Rotureau, J., Barrett, B.R., van Kolck, U.: J. Phys. G 37, 064033 (2010)ADSCrossRefGoogle Scholar
  176. 176.
    Stuart, R.G.: In: Tran Thanh Van, J. (ed.) Z0 Physics, p. 41, Editions Frontieres, Gif-sur-Yvette (1990)Google Scholar
  177. 177.
    Supanam, N., Fearing, H.W., Yan, Y.: JHEP 1011, 124 (2010)ADSCrossRefGoogle Scholar
  178. 178.
    Tiburzi, B.C., Walker-Loud, A.: Phys. Lett. B 669, 246 (2008)MathSciNetADSCrossRefGoogle Scholar
  179. 179.
    Unkmeir, C., Ocherashvili, A., Fuchs, T., Moinester, M.A., Scherer, S.: Phys. Rev. C 65, 015206 (2002)ADSCrossRefGoogle Scholar
  180. 180.
    Urech, R.: Nucl. Phys. B 433, 234 (1995)ADSCrossRefGoogle Scholar
  181. 181.
    Vijaya Kumar, K.B., McGovern, J.A., Birse, M.C.: Phys. Lett. B 479, 167 (2000)ADSCrossRefGoogle Scholar
  182. 182.
    Weinberg, S.: Phys. Lett. B 251, 288 (1990)MathSciNetADSCrossRefGoogle Scholar
  183. 183.
    Weinberg, S.: Nucl. Phys. B 363, 3 (1991)ADSCrossRefGoogle Scholar
  184. 184.
    Wittig, H.: In: Landolt-Börnstein - Group I Elementary Particles, Nuclei and Atoms, vol. 21 A: Elementary Particles. Springer, Berlin (2008)Google Scholar
  185. 185.
    Workman, R.: Phys. Rev. C 59, 3441 (1999)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Johannes Gutenberg-Universität MainzInstitut für KernphysikMainzGermany
  2. 2.Department of Physics and AstronomyUniversity of South CarolinaColumbiaUSA
  3. 3.Department of PhysicsThe George Washington UniversityWashingtonUSA

Personalised recommendations