Abstract.
The pion-nucleon sigma-term is extracted on the basis of the soliton picture of the nucleon from the mass spectrum of usual and the recently observed exotic baryons, assuming that they have positive parity. The value found is consistent with that inferred by means of conventional methods from pion-nucleon scattering data. The study can also be considered as a phenomenological consistency check of the soliton picture of baryons.
Similar content being viewed by others
References
E. Reya, Rev. Mod. Phys. 46, 545 (1974); R.L. Jaffe, Phys. Rev. D 21, 3215 (1980).
J. Gasser, M.E. Sainio, in Physics and Detectors for DA\(\Phi\)NE, edited by S. Bianco et al. (INFN, Frascati, 1999), arXiv:hep-ph/0002283; M.E. Sainio, \(\pi N\) Newslett. 16, 138 (2002), arXiv:hep-ph/0110413.
S. Weinberg, Phys. Rev. Lett. 17, 616 (1966); T.P. Cheng, R.F. Dashen, Phys. Rev. Lett. 26, 594 (1971); L.S. Brown, W.J. Pardee, R.D. Peccei, Phys. Rev. D 4, 2801 (1971).
R. Koch, Z. Phys. C 15, 161 (1982).
J. Gasser, H. Leutwyler, M.E. Sainio, Phys. Lett. B 253 252; 260 (1991).
W.B. Kaufmann, G.E. Hite, Phys. Rev. C 60, 055204 (1999).
M.G. Olsson, Phys. Lett. B 482, 50 (2000), arXiv:hep-ph/0001203.
M.M. Pavan, I.I. Strakovsky, R.L. Workman, R.A. Arndt, \(\pi N\) Newslett. 16, 110 (2002), arXiv:hep-ph/0111066.
M.G. Olsson, W.B. Kaufmann, \(\pi N\) Newslett. 16, 382 (2002).
T.P. Cheng, Phys. Rev. D 38, 2869 (1988).
A. Bottino, F. Donato, N. Fornengo, S. Scopel, Astropart. Phys. 13, 215 (2000).
U. Chattopadhyay, A. Corsetti, P. Nath, Phys. Rev. D 66, 035003 (2002).
G. Prezeau, A. Kurylov, M. Kamionkowski, P. Vogel, Phys. Rev. Lett. 91, 231301 (2003), arXiv:astro-ph/0309115.
D.I. Diakonov, V.Yu. Petrov, M.V. Polyakov, Z. Phys. A 359, 305 (1997), arXiv:hep-ph/9703373.
LEPS Collaboration (T. Nakano et al. ), Phys. Rev. Lett. 91, 012002 (2003), arXiv:hep-ex/0301020.
DIANA Collaboration (V.V. Barmin et al. ), Phys. At. Nucl. 66, 1715 (2003) (Yad. Fiz. 66, 1763 (2003)), arXiv:hep-ex/0304040.
CLAS Collaboration (V. Kubarovsky, S. Stepanyan), AIP Conf. Proc. 698, 543 (2004), arXiv:hep-ex/0307088.
CLAS Collaboration (S. Stepanyan et al. ), Phys. Rev. Lett. 91, 252001 (2003), arXiv:hep-ex/0307018.
A.E. Asratyan, A.G. Dolgolenko, M.A. Kubantsev, arXiv:hep-ex/0309042.
CLAS Collaboration (V. Kubarovsky et al. ), Phys. Rev. Lett. 92, 032001 (2004); 049902(E), arXiv:hep-ex/0311046.
HERMES Collaboration (A. Airapetian et al. ), Phys. Lett. B 585, 213 (2004), arXiv:hep-ex/0312044.
SVD Collaboration (A. Aleev et al. ), arXiv:hep-ex/0401024.
NA49 Collaboration (C. Alt et al. ), Phys. Rev. Lett. 92, 042003 (2004), arXiv:hep-ex/0310014.
T. Becher, H. Leutwyler, Eur. Phys. J. C 9, 643 (1999).
R.L. Jaffe, X.D. Ji, Phys. Rev. Lett. 67, 552; 527 (1991).
First possible experimental indications for e a(x) were reported in CLAS Collaboration (H. Avakian et al. ), arXiv:hep-ex/0301005; cf. also A.V. Efremov, K. Goeke, P. Schweitzer, Phys. Rev. D 67, 114014 (2003), arXiv:hep-ph/0208124, and references therein.
M. Burkardt, Phys. Rev. D 52, 3841 (1995), arXiv:hep-ph/9505226; M. Burkardt, Y. Koike, Nucl. Phys. B 632, 311 (2002), arXiv:hep-ph/0111343.
P. Schweitzer, Phys. Rev. D 67, 114010 (2003), arXiv:hep-ph/0303011; M. Wakamatsu, Y. Ohnishi, Phys. Rev. D 67, 114011 (2003), arXiv:hep-ph/0303007.
A.V. Efremov, P. Schweitzer, JHEP 0308, 006 (2003), arXiv:hep-ph/0212044.
S.J. Dong, J.F. Lagae, K.F. Liu, Phys. Rev. D 54, 5496 (1996), arXiv:hep-ph/9602259.
H. Hellmann, Einführung in die Quantenchemie (Leipzig, Deuticke Verlag, 1937); R.P. Feynman, Phys. Rev. 56, 340 (1939).
C.W. Bernard et al. , Phys. Rev. D 64, 054506 (2001).
CP-PACS Collaboration (A. Ali Khan et al. ), Phys. Rev. D 65, 054505 (2002).
CSSM Lattice Collaboration (J.M. Zanotti et al. ), Phys. Rev. D 65, 074507 (2002).
D.B. Leinweber, A.W. Thomas, R.D. Young, arXiv:hep-lat/0302020.
V. Bernard, T.R. Hemmert, U.G. Meissner, Nucl. Phys. A 732, 149 (2004), arXiv:hep-ph/0307115.
M. Procura, T.R. Hemmert, W. Weise, Phys. Rev. D 69, 034505 (2004), arXiv:hep-lat/0309020.
P. Schweitzer, Phys. Rev. D 69, 034003 (2004), arXiv:hep-ph/0307336.
V.E. Lyubovitskij, T. Gutsche, A. Faessler, E.G. Drukarev, Phys. Rev. D 63, 054026 (2001), arXiv:hep-ph/0009341.
M. Gell-Mann, California Institute of Technology Synchrotron Laboratory Report No. CTSL-20 (1961); Phys. Rev. 125, 1067 (1962).
S. Okubo, Prog. Theor. Phys. 27, 949 (1962).
M. Gell-Mann, Y. Ne’eman, The Eight-Fold Way (Benjamin, New York, 1964).
G. ‘t Hooft, Nucl. Phys. B 72, 461 (1974). For a pedagogical exposition see G. ‘t Hooft, in Tempe 2002, Phenomenology of Large N c QCD, 3-18, arXiv:hep-th/0204069.
For recent reviews see E. Jenkins, Annu. Rev. Nucl. Part. Sci. 48, 81 (1998), arXiv:hep-ph/9803349; R.F. Lebed, Czech. J. Phys. 49, 1273 (1999), arXiv:nucl-th/9810080.
E. Witten, Nucl. Phys. B 160, 57 (1979); 223, 433 (1983).
T.H.R. Skyrme, Proc. R. Soc. London, Ser. A 260, 127 (1961); Nucl. Phys. 31, 556 (1962).
D.I. Diakonov, V.Yu. Petrov, P.V. Pobylitsa, Nucl. Phys. B 306, 809 (1988).
E. Guadagnini, Nucl. Phys. B 236, 35 (1984).
A. Blotz, D. Diakonov, K. Goeke, N.W. Park, V. Petrov, P.V. Pobylitsa, Nucl. Phys. A 555, 765 (1993).
G.S. Adkins, C.R. Nappi, E. Witten, Nucl. Phys. B 228, 552 (1983).
G.S. Adkins, C.R. Nappi, Nucl. Phys. B 249, 507 (1985); 233, 109 (1984).
D. Diakonov, V. Petrov, arXiv:hep-ph/0310212.
P. Ko, J. Lee, T. Lee, J. h. Park, arXiv:hep-ph/0312147.
H. Leutwyler, Phys. Lett. B 378, 313 (1996), arXiv:hep-ph/9602366.
S. Weinberg, Trans. N.Y. Acad. Sci. 38, 185 (1977).
T.D. Cohen, R.F. Lebed, Phys. Lett. B 578, 150 (2004), arXiv:hep-ph/0309150; T.D. Cohen, Phys. Lett. B 581, 175 (2004), arXiv:hep-ph/0309111; T.D. Cohen, D.C. Dakin, A. Nellore, R.F. Lebed, Phys. Rev. D 69, 056001 (2004), arXiv:hep-ph/0310120.
D. Diakonov, V. Petrov, Phys. Rev. D 69, 056002 (2004), arXiv:hep-ph/0309203.
N. Itzhaki, I.R. Klebanov, P. Ouyang, L. Rastelli, Nucl. Phys. B 684, 264 (2004), arXiv:hep-ph/0309305.
P.V. Pobylitsa, arXiv:hep-ph/0310221.
T.D. Cohen, arXiv:hep-ph/0312191.
R.A. Arndt, Y.I. Azimov, M.V. Polyakov, I.I. Strakovsky, R.L. Workman, Phys. Rev. C 69, 035208 (2004), arXiv:nucl-th/0312126.
H.G. Fischer, S. Wenig, arXiv:hep-ex/0401014.
H.C. Kim, M. Praszałowicz, K. Goeke, Phys. Rev. D 57, 2859 (1998), arXiv:hep-ph/9706531; H.C. Kim, M. Praszałowicz, M.V. Polyakov, K. Goeke, Phys. Rev. D 58, 114027 (1998), arXiv:hep-ph/9801295.
H.C. Kim, M. Praszałowicz, K. Goeke, Phys. Rev. D 61, 114006 (2000), arXiv:hep-ph/9910282.
J. Gasser, H. Leutwyler, Phys. Rep. 87, 77 (1982).
X.D. Ji, Phys. Rev. Lett. 74, 1071 (1995), arXiv:hep-ph/9410274.
R.A. Arndt, I.I. Strakovsky, R.L. Workman, Phys. Rev. C 68, 042201 (2003), arXiv:nucl-th/0308012; arXiv:nucl-th/0311030; S. Nussinov, arXiv:hep-ph/0307357; R.N. Cahn, G.H. Trilling, Phys. Rev. D 69, 011501 (2004), arXiv:hep-ph/0311245.
K. Nakayama, K. Tsushima, Phys. Lett. B 583, 269 (2004), arXiv:hep-ph/0311112; E. Oset, T. Hyodo, A. Hosaka, arXiv:nucl-th/0312014; A.W. Thomas, K. Hicks, A. Hosaka, Prog. Theor. Phys. 111, 291 (2004), arXiv:hep-ph/0312083; C. Hanhart et al. , arXiv:hep-ph/0312236.
M. Praszałowicz, in Skyrmions and Anomalies, edited by M. Jeżabek, M. Praszałowicz, (World Scientific, Singapore, 1987) p. 531; Phys. Lett. B 575, 234 (2003), arXiv:hep-ph/0308114.
R.L. Jaffe, F. Wilczek, Phys. Rev. Lett. 91, 232003 (2003), arXiv:hep-ph/0307341.
S. Sasaki, arXiv:hep-lat/0310014; F. Csikor, Z. Fodor, S.D. Katz, T.G. Kovacs, JHEP 0311, 070 (2003), arXiv:hep-lat/0309090.
E. Shuryak, I. Zahed, arXiv:hep-ph/0310270.
F.E. Close, arXiv:hep-ph/0311087.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by V. Vento
Received: 6 February 2004, Revised: 3 May 2004, Published online: 12 October 2004
PACS:
12.39.Ki Relativistic quark model - 12.38.Lg Other nonperturbative calculations - 14.20.-c Baryons (including antiparticles)
Rights and permissions
About this article
Cite this article
Schweitzer, P. Extraction of the pion-nucleon sigma-term from the spectrum of exotic baryons. Eur. Phys. J. A 22, 89–95 (2004). https://doi.org/10.1140/epja/i2004-10027-7
Issue Date:
DOI: https://doi.org/10.1140/epja/i2004-10027-7