Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model

Physical Review C - Nuclear Physics

Volumn 75, Issue 5, 2007, Pages

  Goeke, K ^a   Grabis, J ^a   Ossmann, J ^a   Schweitzer, P ^a   Silva, A ^b,c   Urbano, D ^b,c  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b UNIVERSITY OF COIMBRA   (Portugal)

^c UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547352841     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.75.055207     Document Type: Article

References (144)

1. H. R. Pagels, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.144.1250 144, 1250 (1965).
2. X. D. Ji, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.610 78, 610 (1997).
3. M. V. Polyakov, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(03)00036- 4 B555, 57 (2003).
4. D. Müller, D. Robaschik, B. Geyer, F. M. Dittes, and J. Hořejši, Fortschr. Phys. 42, 101 (1994).
5. X. D. Ji, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.55.7114 55, 7114 (1997).
6. J. C. Collins, L. Frankfurt, and M. Strikman, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.56.2982 56, 2982 (1997).
7. A. V. Radyushkin, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.56.5524 56, 5524 (1997).
8. P. R. Saull (ZEUS Collaboration), in Proceedings of the International Europhysics Conference on High Energy Physics EPS-HEP 99, edited by, K. Huitu, H. Kurki-Suonio, and, J. Maalampi, (IOP, Bristol, UK, 2000), p. 420 [hep-ex/0003030].
9. C. Adloff (H1 Collaboration), Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(01)00939-X B517, 47 (2001).
10. A. Airapetian (HERMES Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.182001 87, 182001 (2001).
11. S. Stepanyan (CLAS Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.182002 87, 182002 (2001).
12. F. Ellinghaus (HERMES Collaboration), Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(02)01210-1 A711, 171 (2002).
13. S. Chekanov (ZEUS Collaboration), Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb.2003.08.048 B573, 46 (2003).
14. A. Aktas (H1 Collaboration), Eur. Phys. J. C 44, 1 (2005).
15. C. Munoz Camacho (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.262002 97, 262002 (2006)
16. [nucl-ex/0607029].
17. A. Airapetian (HERMES Collaboration), Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.75.011103 75, 011103 (2007).
18. X. D. Ji, J. Phys. G 1361-6471 10.1088/0954-3899/24/7/002 24, 1181 (1998).
19. A. V. Radyushkin, in At the Frontier of Particle Physics, edited by, M. Shifman, (World Scientific, Singapore, 2001), Vol. 2, p. 1037 [hep-ph/0101225].
20. K. Goeke, M. V. Polyakov, and M. Vanderhaeghen, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/S0146-6410(01)00158-2 47, 401 (2001).
21. A. V. Belitsky, D. Mueller, and A. Kirchner, Nucl. Phys. NUPBBO 0550-3213 10.1016/S0550-3213(02)00144-X B629, 323 (2002).
22. M. Diehl, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.08.002 388, 41 (2003).
23. A. V. Belitsky and A. V. Radyushkin, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.06.002 418, 1 (2005).
24. M. Burkardt, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.62.071503 62, 071503 (2000)
25. M. Burkardt, [Erratum- Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66. 119903 66, 119903 (2002)];
26. M. Burkardt, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/ S0217751X03012370 18, 173 (2003);
27. J. P. Ralston and B. Pire, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66.111501 66, 111501 (2002);
28. M. Diehl, Eur. Phys. J. C 25, 223 (2002)
29. M. Diehl, [Erratum- Eur. Phys. J. C EPCFFB 1434-6044 10.1140/epjc/s2003- 01356-4 31, 277 (2003)].
30. N. Mathur, S. J. Dong, K. F. Liu, L. Mankiewicz, and N. C. Mukhopadhyay, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.62.114504 62, 114504 (2000).
31. V. Gadiyak, X. Ji, and C. Jung, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.65.094510 65, 094510 (2002).
32. P. Hägler, J. W. Negele, D. B. Renner, W. Schroers, T. Lippert, and K. Schilling (LHPC Collaboration), Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.68.034505 68, 034505 (2003);
33. P. Hägler, J. W. Negele, D. B. Renner, W. Schroers, T. Lippert, and K. Schilling (LHPC Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.112001 93, 112001 (2004).
34. M. Göckeler, R. Horsley, D. Pleiter, P. E. L. Rakow, A. Schäfer, G. Schierholz, and W. Schroers (QCDSF Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.042002 92, 042002 (2004).
35. J. W. Negele, Nucl. Phys. (Proc. Suppl.) 0920-5632 10.1016/S0920-5632(03) 02474-5 128, 170 (2004).
36. W. Schroers, Eur. Phys. J. A. 1434-601X 10.1140/epja/i2006-10285-3 31, 784 (2007)
37. [hep-lat/0701003];
38. W. Schroers, Nucl. Phys. Proc. Suppl. 0920-5632 10.1016/j.nuclphysbps. 2006.01.036 153, 277 (2006)
39. [hep-lat/0512001];
40. R. G. Edwards, hep-lat/0610007.
41. J. W. Chen and X. D. Ji, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.052003 88, 052003 (2002).
42. A. V. Belitsky and X. D. Ji, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(02)02025-7 B538, 289 (2002).
43. M. Diehl, A. Manashov, and A. Schäfer, Eur. Phys. J. A EPJAFV 1434-6001 10.1140/epja/i2006-10098-4 29, 315 (2006).
44. V. Bernard, T. R. Hemmert, and U. G. Meissner, Nucl. Phys. NUPABL 0375-9474 10.1016/j.nuclphysa.2003.12.011 A732, 149 (2004);
45. V. Bernard, T. R. Hemmert, and U. G. Meissner, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb.2005.06.088 B622, 141 (2005);
46. M. Frink and U. G. Meissner, JHEP JHEPFG 1029-8479 10.1088/1126-6708/ 2004/07/028 07 (2004), 028;
47. M. Frink, U. G. Meissner, and I. Scheller, Eur. Phys. J. A EPJAFV 1434-6001 10.1140/epja/i2005-10063-9 24, 395 (2005).
48. M. Procura, T. R. Hemmert, and W. Weise, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.69.034505 69, 034505 (2004)
49. [hep-lat/0309020];
50. M. Procura, B. U. Musch, T. R. Hemmert, and W. Weise, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.75.014503 75, 014503 (2007)
51. [hep-lat/0610105].
52. A. Ali Khan (QCDSF-UKQCD Collaboration), Nucl. Phys. NUPBBO 0550-3213 10.1016/j.nuclphysb.2004.04.018 B689, 175 (2004);
53. R. G. Edwards (LHPC Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.052001 96, 052001 (2006).
54. S. R. Beane, Nucl. Phys. NUPBBO 0550-3213 10.1016/j.nuclphysb.2004.06.002 B695, 192 (2004);
55. J. A. McGovern and M. C. Birse, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.74.097501 74, 097501 (2006).
56. D. B. Leinweber, D. H. Lu, and A. W. Thomas, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.60.034014 60, 034014 (1999);
57. D. B. Leinweber, A. W. Thomas, K. Tsushima, and S. V. Wright, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.61.074502 61, 074502 (2000);
58. D. B. Leinweber, A. W. Thomas, and S. V. Wright, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(00)00490-1 B482, 109 (2000);
59. R. D. Young, D. B. Leinweber, A. W. Thomas, and S. V. Wright, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66.094507 66, 094507 (2002);
60. D. B. Leinweber, A. W. Thomas, and R. D. Young, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.242002 92, 242002 (2004);
61. I. C. Cloet, D. B. Leinweber, and A. W. Thomas, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(03)00418-0 B563, 157 (2003);
62. R. D. Young, D. B. Leinweber, and A. W. Thomas, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.71.014001 71, 014001 (2005);
63. C. R. Allton, W. Armour, D. B. Leinweber, A. W. Thomas, and R. D. Young, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb.2005.09.020 B628, 125 (2005).
64. A. W. Thomas, Ann. Phys. APNYA6 0003-4916 10.1002/andp.200410115 13, 731 (2004).
65. H. H. Matevosyan, G. A. Miller, and A. W. Thomas, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.71.055204 71, 055204 (2005);
66. H. H. Matevosyan, A. W. Thomas, and G. A. Miller, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.72.065204 72, 065204 (2005).
67. P. Schweitzer, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.69.034003 69, 034003 (2004).
68. K. Goeke, J. Ossmann, P. Schweitzer, and A. Silva, Eur. Phys. J. A EPJAFV 1434-6001 10.1140/epja/i2005-10229-5 27, 77 (2006)
69. [hep-lat/0505010].
70. D. I. Diakonov and V. Y. Petrov, JETP Lett. 43, 75 (1986)
71. D. I. Diakonov and V. Y. Petrov, [Pisma Zh. Eksp. Teor. Fiz. 43, 57 (1986)].
72. D. I. Diakonov, V. Y. Petrov, and P. V. Pobylitsa, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(88)90443-9 B306, 809 (1988);
73. D. I. Diakonov, V. Y. Petrov, and M. Praszałowicz, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(89)90587-7 B323, 53 (1989).
74. E. Witten, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(79)90232-3 B160, 57 (1979);
75. E. Witten, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(83)90064-0 B223, 433 (1983).
76. C. Schüren, E. Ruiz Arriola, and K. Goeke, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(92)90654-3 A547, 612 (1992).
77. C. V. Christov, A. Z. Górski, K. Goeke, and P. V. Pobylitsa, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(95)00309-O A592, 513 (1995).
78. C. V. Christov, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/0146-6410(96)00057-9 37, 91 (1996).
79. A. Silva, H. C. Kim, D. Urbano, and K. Goeke, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.74.054011 74, 054011 (2006).
80. D. I. Diakonov, Nucl. Phys. NUPBBO 0550-3213 10.1016/S0550-3213(96)00486- 5 B480, 341 (1996).
81. D. I. Diakonov, V. Y. Petrov, P. V. Pobylitsa, M. V. Polyakov, and C. Weiss, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.56.4069 56, 4069 (1997);
82. P. V. Pobylitsa, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.59.034024 59, 034024 (1999);
83. P. V. Pobylitsa and M. V. Polyakov, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(96)01288-9 B389, 350 (1996);
84. C. Weiss and K. Goeke, hep-ph/9712447.
85. D. I. Diakonov, V. Y. Petrov, P. V. Pobylitsa, M. V. Polyakov, and C. Weiss, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.58.038502 58, 038502 (1998).
86. M. Wakamatsu and T. Kubota, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.60.034020 60, 034020 (1999);
87. M. Wakamatsu, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.034005 67, 034005 (2003);
88. M. Wakamatsu, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.034006 67, 034006 (2003).
89. K. Goeke, Acta Phys. Pol. B 32, 1201 (2001);
90. P. Schweitzer, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.64.034013 64, 034013 (2001).
91. V. Y. Petrov, P. V. Pobylitsa, M. V. Polyakov, I. Börnig, K. Goeke, and C. Weiss, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.57.4325 57, 4325 (1998).
92. M. Penttinen, M. V. Polyakov, and K. Goeke, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.62.014024 62, 014024 (2000).
93. P. Schweitzer, S. Boffi, and M. Radici, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66.114004 66, 114004 (2002).
94. P. Schweitzer, M. Colli, and S. Boffi, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.114022 67, 114022 (2003);
95. P. Schweitzer, S. Boffi, and M. Radici, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(02)01218-6 A711, 207 (2002).
96. J. Ossmann, M. V. Polyakov, P. Schweitzer, D. Urbano, and K. Goeke, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.71.034011 71, 034011 (2005).
97. M. Wakamatsu and H. Tsujimoto, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.71.074001 71, 074001 (2005);
98. M. Wakamatsu and Y. Nakakoji, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.74.054006 74, 054006 (2006).
99. K. Goeke, J. Grabis, J. Ossmann, M. V. Polyakov, P. Schweitzer, A. Silva, and D. Urbano, Phys. Rev. D (2007), in press (hep-ph/0702030).
100. J. F. Donoghue and H. Leutwyler, Z. Phys. C ZPCFD2 0170-9739 10.1007/BF01560453 52, 343 (1991).
101. B. Kubis and U. G. Meissner, Nucl. Phys. NUPABL 0375-9474 10.1016/S0375-9474(99)00823-4 A671, 332 (2000)
102. B. Kubis and U. G. Meissner, [Erratum- Nucl. Phys. A692, 647 (2001)].
103. E. Megias, E. R. Arriola, L. L. Salcedo, and W. Broniowski, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.70.034031 70, 034031 (2004);
104. E. Megias, E. Ruiz Arriola, and L. L. Salcedo, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.72.014001 72, 014001 (2005).
105. D. Brommel, PoS LAT2005, 360 (2006).
106. J. W. Chen, W. Detmold, and B. Smigielski, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.75.074003 75, 074003 (2007)
107. [hep-lat/0612027].
108. F. Ellinghaus, W. D. Nowak, A. V. Vinnikov, and Z. Ye, Eur. Phys. J. C EPCFFB 1434-6044 10.1140/epjc/s2006-02529-3 46, 729 (2006)
109. [hep-ph/0506264].
110. R. G. Sachs, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.126.2256 126, 2256 (1962).
111. M. V. Polyakov and C. Weiss, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.60.114017 60, 114017 (1999).
112. O. V. Teryaev, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(01)00564-0 B510, 125 (2001).
113. N. Kivel, M. V. Polyakov, and M. Vanderhaeghen, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.63.114014 63, 114014 (2001).
114. V. Guzey and M. Siddikov, J. Phys. G 1361-6471 10.1088/0954-3899/32/3/002 32, 251 (2006).
115. D. I. Diakonov and V. Y. Petrov, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(84)90432-2 B245, 259 (1984).
116. D. I. Diakonov and V. Y. Petrov, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(86)90011-8 B272, 457 (1986).
117. D. I. Diakonov, M. V. Polyakov, and C. Weiss, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(95)00675-3 B461, 539 (1996).
118. For reviews see: D. I. Diakonov, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/S0146-6410(03)90014-7 51, 173 (2003);
119. D. I. Diakonov and V. Y. Petrov, in At the Frontier of Particle Physics, edited by, M. Shifman, (World Scientific, Singapore, 2001), Vol. 1, p. 359-415.
120. D. I. Diakonov and M. I. Eides, JETP Lett. 38, 433 (1983)
121. D. I. Diakonov and M. I. Eides, [Pisma Zh. Eksp. Teor. Fiz. 38, 358 (1983)].
122. A. Dhar, R. Shankar, and S. R. Wadia, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.31.3256 31, 3256 (1985).
123. S. Kahana and G. Ripka, Nucl. Phys. NUPABL 0375-9474 10.1016/0375- 9474(84)90692-4 A429, 462 (1984).
124. T. Kubota, M. Wakamatsu, and T. Watabe, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.60.014016 60, 014016 (1999).
125. P. V. Pobylitsa, E. Ruiz Arriola, T. Meissner, F. Grummer, K. Goeke, and W. Broniowski, J. Phys. G 1361-6471 10.1088/0954-3899/18/9/008 18, 1455 (1992).
126. R. F. Dashen, E. Jenkins, and A. V. Manohar, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.49.4713 49, 4713 (1994)
127. R. F. Dashen, E. Jenkins, and A. V. Manohar, [Erratum- Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.51.2489 51, 2489 (1995)].
128. T. D. Cohen and W. Broniowski, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(92)90599-Y B292, 5 (1992);
129. T. D. Cohen, hep-ph/9512275.
130. S. L. Adler, J. C. Collins, and A. Duncan, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.15.1712 15, 1712 (1977);
131. N. K. Nielsen, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(77)90040-2 B120, 212 (1977);
132. J. C. Collins, A. Duncan, and S. D. Joglekar, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.16.438 16, 438 (1977).
133. V. M. Braun, P. Górnicki, L. Mankiewicz, and A. Schäfer, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(93)90399-3 B302, 291 (1993).
134. See, for example, M. Glück and E. Reya, Nucl. Phys. NUPBBO 0550-3213 10.1016/0550-3213(77)90393-5 B130, 76 (1977), and references therein.
135. M. Glück, E. Reya, and A. Vogt, Z. Phys. C 1431-5858 10.1007/BF01624586 67, 433 (1995).
136. M. Glück, E. Reya, and A. Vogt, Eur. Phys. J. C EPCFFB 1434-6044 10.1007/s100520050289 5, 461 (1998).
137. A. V. Efremov, K. Goeke, and P. V. Pobylitsa, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(00)00858-3 B488, 182 (2000).
138. For examples of other large-Nc results and their tests see: P. V. Pobylitsa, hep-ph/0301236;
139. A. V. Efremov, K. Goeke, S. Menzel, A. Metz, and P. Schweitzer, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb.2005.03.010 B612, 233 (2005);
140. J. C. Collins, A. V. Efremov, K. Goeke, S. Menzel, A. Metz, and P. Schweitzer, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.73.014021 73, 014021 (2006).
141. O. V. Teryaev, hep-ph/9803403
142. and hep-ph/9904376.
143. M. Wakamatsu, Phys. Lett. B 0370-2693 10.1016/j.physletb.2007.03.013 648, 181 (2007)
144. [hep-ph/0701057].