Research PapersNo Access

THE CONTRIBUTION OF THE LIGHT QUARK CONDENSATE TO THE πN SIGMA TERM

W. R. GIBBS

Department of Physics, New Mexico State University, Las Cruces, NM 88003, USA

https://doi.org/10.1142/S0217732303010995Cited by:2 (Source: Crossref)

Abstract

There has been a discrepancy between values of the pion-nucleon sigma term extracted by two different methods for many years. Analysis of recent high precision pion-nucleon data has widened the gap between the two determinations. It is argued that the two extractions correspond to different quantities and that the difference between them can be understood and calculated.

Keywords:

PACS: 14.20.Dh, 13.75.Gx

References

R. Koch, Z. Phys. C 15, 161 (1982), DOI: 10.1007/BF01571999. Crossref, ADS, Google Scholar
J. F. Donoghue and C. R. Nappi, Phys. Lett. B 168, 105 (1986). Crossref, Web of Science, ADS, Google Scholar
M. Sainio, πN Newsletter 10, 13 (1995). Google Scholar
V. E. Lyubovitskijet al., Phys. Rev. D 63, 054026 (2001), DOI: 10.1103/PhysRevD.63.054026. Crossref, Web of Science, Google Scholar
W. H. Smithet al., Nucl. Phys. B S 31, 262 (1993), DOI: 10.1016/0920-5632(93)90144-U. Crossref, ADS, Google Scholar
A. O. Bazarkoet al., Z. Phys. C 65, 189 (1995). ADS, Google Scholar
C. Boros, J. T. Londergan and A. W. Thomas, Phys. Rev. D 58, 114030 (1998), DOI: 10.1103/PhysRevD.58.114030. Crossref, Web of Science, ADS, Google Scholar
W. R. Gibbs, Li Ai and W. B. Kaufmann, Phys. Rev. C 57, 784 (1998), DOI: 10.1103/PhysRevC.57.784. Crossref, Web of Science, ADS, Google Scholar
W. B. Kaufmann and G. E. Hite, Phys. Rev. C 60, 055204 (1999), DOI: 10.1103/PhysRevC.60.055204. Crossref, Web of Science, Google Scholar
M. G. Olsson and W. B. Kaufmann, Pion-Nucleon Newsletter (2002). Google Scholar
M. M. Pavanet al., Pion-Nucleon Newsletter (2002). Google Scholar
VPI/GWU phase-shift analysis, available on the Internet at http://gwdac.phys.gwu.edu/ . Google Scholar
V. Bernard, N. Kaiser and U.-G. Meissner, Z. Phys. C 60, 111 (1993), DOI: 10.1007/BF01650436. Crossref, ADS, Google Scholar
J. Gasser, H. Leutwyler and M. E. Sainio, Phys. Lett. B 253, 260 (1991). Crossref, Web of Science, ADS, Google Scholar
T. Becher and H. Leutwyler, Euro. Phys. J. C 9, 643 (1999). Crossref, Web of Science, ADS, Google Scholar
L. Brown, W. J. Pardee and R. D. Peccei, Phys. Rev. D 4, 2801 (1971), DOI: 10.1103/PhysRevD.4.2801. Crossref, Web of Science, Google Scholar
S. A. Coon and M. D. Scadron, J. Phys. G: Nucl. Part. Phys. 18, 1923 (1992), DOI: 10.1088/0954-3899/18/12/008. Crossref, Web of Science, Google Scholar
S. J. Dong, J.-F. Lagaë and K. F. Liu, Phys. Rev. D 54, 5496 (1996), DOI: 10.1103/PhysRevD.54.5496. Crossref, Web of Science, ADS, Google Scholar
P.-P. Cheng and L.-F. Li , Gauge Theory of Elementary Particle Physics ( Clarendon Press , 1984 ) . Google Scholar
T. D. Cohen, R. J. Furnstahl and D. K Griegel, Phys. Rev. C45, 1881 (1992); Phys. Rev. Lett. 67, 961 (1991) . Google Scholar
A. Gammal and T. Frederico, Phys. Rev. C 57, 2830 (1998), DOI: 10.1103/PhysRevC.57.2830. Crossref, Web of Science, Google Scholar
M. Ericson, Nucl. Phys. A 577, 147c (1994), DOI: 10.1016/0375-9474(94)90848-6. Crossref, ADS, Google Scholar
J.-L. Ballot, M. Ericson and M. R. Robilotta, Phys. Rev. C 61, 5202 (2000), DOI: 10.1103/PhysRevC.61.055202. Crossref, Web of Science, Google Scholar
M. Gell-Mann, R. J. Oakes and B. Renner, Phys. Rev. 175, 2195 (1968), DOI: 10.1103/PhysRev.175.2195. Crossref, Web of Science, ADS, Google Scholar
V. Koch, Int. J. Mod. Phys. E6, 203 (1997); M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960) . Google Scholar
J. Gasser, Pion-Nucleon Workshop 1984, p. 266 Los Alamos Report LA-11184-C, Ann. Phys. 136, 62 (1981); T. P. Cheng, Phys. Rev. D13, 2161 (1976) . Google Scholar
J. Gasser 1981 op. cit. See Eq. (12.3) . Google Scholar
I. Jameson, A. A. Rawlinson and A. W. Thomas, Aust. J. Phys. 47, 45 (1994). Crossref, ADS, Google Scholar
S. A. Coon and M. D. Scadron, Phys. Rev. C42, 2256 (1990); C23, 1150 (1981) . Google Scholar
M. Lissiaet al., Nucl. Phys. A 555, 272 (1993), DOI: 10.1016/0375-9474(93)90323-P. Crossref, Web of Science, ADS, Google Scholar
V. Gogohia and H. Toki, Phys. Rev. D 61, 036006 (2000), DOI: 10.1103/PhysRevD.61.036006. Crossref, Web of Science, Google Scholar
E. V. Shuryak, Phys. Lett. B 79, 135 (1978). Crossref, Web of Science, ADS, Google Scholar
V. Gogohia and Gy. Kluge, Phys. Rev. D 62, 076008 (2000), DOI: 10.1103/PhysRevD.62.076008. Crossref, Web of Science, Google Scholar
A. Chodoset al., Phys. Rev. D 10, 2599 (1974), DOI: 10.1103/PhysRevD.10.2599. Crossref, Web of Science, ADS, Google Scholar
A. Chodos and Charles B. Thorn, Phys. Rev. D 12, 2733 (1975), DOI: 10.1103/PhysRevD.12.2733. Crossref, Web of Science, ADS, Google Scholar
M. V. Barnhill, W. K. Cheng and A. Halprin, Phys. Rev. D 20, 727 (1979), DOI: 10.1103/PhysRevD.20.727. Crossref, Web of Science, ADS, Google Scholar
T. DeGrandet al., Phys. Rev. D 12, 2060 (1975), DOI: 10.1103/PhysRevD.12.2060. Crossref, Web of Science, Google Scholar
M. S. Chanowitz and S. Sharpe, B222, 211 (1983) . Google Scholar
C. A. Z. Vasconcelloset al., Euro. Phys. J. C 4, 115 (1998). Crossref, Web of Science, ADS, Google Scholar
M. C. Birse and J. A. McGovern, Phys. Lett. B 292, 242 (1992). Crossref, Web of Science, ADS, Google Scholar
R. L. Jaffe, Phys. Lett. D 21, 3215 (1980). Google Scholar
I. Jameson, A. W. Thomas and G. Chanfray, J. Phys. G: Nucl. Part. Phys. 18, L159 (1992), DOI: 10.1088/0954-3899/18/9/001. Crossref, Web of Science, Google Scholar