Abstract
After having shown that the sum rule of the\(\rho \) meson can be analyzed by MEM, we in this chapter proceed to the next classic sum rule, the one of the nucleon. As will be seen, the analysis of this sum rule is more difficult compared with the\(\rho \) meson case, especially because the interpolating field here contains three quarks and thus has a larger mass dimension, which leads to a slower convergence and larger uncertainties of the OPE. As a consequence, we will show that the MEM analysis of the nucleon sum rule with a Borel kernel in fact does not work well. On the other hand, the sum rule with a Gaussian kernel provides reasonable results. This chapter is mainly based on K. Ohtani, P. Gubler and M. Oka, Eur. Phys. J. A47, 114 (2011)., and its results were calculated by K. Ohtani.
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References
Adami C, Zahed I (1992) Phys Rev D 45:4312
Belyaev VM, Ioffe BL (1982) Sov Phys JETP 56:493
Bertlmann RA, Launer G, de Rafael E (1985) Nucl Phys B250:61
Chung Y, Dosch HG, Kremer M, Schall D (1982a) Nucl Phys B 197:55
Chung Y, Dosch HG, Kremer M, Schall D (1982b) Z Phys C 15:367
Chung Y, Dosch HG, Kremer M, Schall D (1984) Z Phys C 25:151
Cohen TD, Furnstahl RJ, Griegel DK, Jin X (1995) Prog Part Nucl Phys 35:221
Colangelo P, Khodjamirian A (2001) At the frontier of particle physics/handbook of QCD, vol 3. World Scientific, Singapore, p 1495
Dosch HG, Jamin M, Narison S (1989) Phys Lett B 220:251
Drukarev EG, Ryskin MG, Sadovnikova VA (2010) arXiv:1012.0394 [nucl-th].
Efros VD, Leidemann W, Orlandini G (1994) Phys Lett B338:130
Efros VD, Leidemann W, Orlandini G, Barnea N (2007) J Phys G Nucl Part Phys 34:R459
Gubler P, Oka M (2010) Prog Theoret Phys 125:995
Hatsuda T, Hogaasen H, Prakash M (1991) Phys Rev Lett 66:2851
Ioffe BL (1981a) Nucl Phys B188:317
Ioffe BL (1981b) Nucl Phys B191, 591 (E).
Ioffe BL (1983) Z Phys C 18:67
Jamin M (1988) Z Phys C 37:635
Jido D, Kodama N, Oka M (1996) Phys Rev D 54:4532
Krasnikov NV, Pivovarov AA, Tavkhelidze NN (1983) Z Phys C 19:301
Leinweber DB (1990) Ann Phys (NY) 198:203
Leinweber DB (1995) Phys Rev D 51:6383
Leinweber DB (1997) Ann Phys 254:328
Melnitchouk W et al (2003) Phys Rev D 67:114506
Ohtani K, Gubler P, Oka M (2011) Eur Phys J A 47:114
Orlandini G, Steele TG, Harnett D (2001) Nucl Phys A686:261
Ovchinnikov AA, Pivovarov AA, Surguladze LR (1991) Int J Mod Phys A 6:2025
Sadovnikova VA, Drukarev EG, Ryskin MG (2005) Phys Rev D 72:114015
Sasaki S, Blum T, Ohta S (2002) Phys Rev D 65:074503
Shifman MA, Vainshtein AI, Zakharov VI (1979a) Nucl Phys B147:385
Shifman MA, Vainshtein AI, Zakharov VI (1979b) Nucl Phys B147:448
Shiomi H, Hatsuda T (1995) Nucl Phys A594:294
Yang KC, Hwang WYP, Henley EM, Kisslinger LS (1993) Phys Rev D 47:3001
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Tokyo Institute of Technology, Tokyo, Japan
Philipp Gubler
- Philipp Gubler
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Correspondence toPhilipp Gubler.
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Gubler, P. (2013). MEM Analysis of the Nucleon Sum Rule. In: A Bayesian Analysis of QCD Sum Rules. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54318-3_6
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