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SCALAR MESONS AND LOW-MASS SIGMA: DOES THE σ REVEAL THE CONFINEMENT SINGULARITY?

V. V. ANISOVICH

Petersburg Nuclear Physics Institute, 188300 Gatchina, Petersburg District, Russia

https://doi.org/10.1142/S0217751X06031569Cited by:12 (Source: Crossref)

Abstract

We present a short review of the current understanding of the scalar meson sector, with special attention to the problem of the low-mass σ. The dispersion relation N/D-method used for the restoration of the low-energy ππ (IJ^PC = 00⁺⁺)-wave amplitude is discussed. The low-energy ππ amplitude was determined from the data in the energy region 280–500 MeV and it was sewn with the previously found K-matrix solution for the region 450–1950 MeV. The N/D-amplitude has a pole on the second sheet of the complex-s plane, near the ππ threshold at , that corresponds to the low-mass σ-meson. We discuss the hypothesis that this pole may be related to the confinement forces, thus being the eyewitness of confinement.

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References

V. V. Anisovich et al. , Quark Model and High Energy Collisions , 2nd edn. ( World Scientific , Singapore , 2004 ) . Link, Google Scholar
V. N. Gribov, preprint LU-TP 91-7, Lund University (1991) . Google Scholar
D. Aldeet al., Z. Phys. C 66, 375 (1995), DOI: 10.1007/BF01556362. ADS, Google Scholar
Yu. D. Prokoshkinet al., Physics – Doklady 342, 473 (1995). Google Scholar
A. A. Kondashov et al., preprint IHEP 95-137, Protvino (1995) . Google Scholar
F. Binonet al., Nuovo Cimento A 78, 313 (1983). Google Scholar
F. Binonet al., Nuovo Cimento A 80, 363 (1984). Web of Science, ADS, Google Scholar
S. J. Lindenbaum and R. S. Longacre, Phys. Lett. B 274, 492 (1992), DOI: 10.1016/0370-2693(92)92022-9. Web of Science, ADS, Google Scholar
A. Etkinet al., Phys. Rev. D 25, 1786 (1982), DOI: 10.1103/PhysRevD.25.1786. Web of Science, ADS, Google Scholar
G. Grayeret al., Nucl. Phys. B 74, 189 (1974), DOI: 10.1016/0550-3213(74)90545-8. Web of Science, Google Scholar
W. Ochs, Ph.D. thesis, Münich University (1974) . Google Scholar
C. Amsleret al., Phys. Lett. B 342, 433 (1995), DOI: 10.1016/0370-2693(94)01515-E. Web of Science, ADS, Google Scholar
C. Amsleret al., Phys. Lett. B 355, 425 (1995), DOI: 10.1016/0370-2693(95)00747-9. Web of Science, ADS, Google Scholar
A. Abeleet al., Phys. Rev. D 57, 3860 (1998), DOI: 10.1103/PhysRevD.57.3860. Web of Science, ADS, Google Scholar
A. Abeleet al., Phys. Lett. B 391, 191 (1997), DOI: 10.1016/S0370-2693(96)01552-3. Web of Science, ADS, Google Scholar
A. Abeleet al., Phys. Lett. B 411, 354 (1997), DOI: 10.1016/S0370-2693(97)01032-0. Web of Science, Google Scholar
A. Abeleet al., Phys. Lett. B 450, 275 (1999), DOI: 10.1016/S0370-2693(99)00090-8. Web of Science, Google Scholar
A. Abeleet al., Phys. Lett. B 468, 178 (1999), DOI: 10.1016/S0370-2693(99)01191-0. Web of Science, ADS, Google Scholar
A. Abeleet al., Phys. Lett. B 469, 269 (1999). Web of Science, Google Scholar
K. Wittmack, Ph.D. thesis, Bonn University (2001) . Google Scholar
E. Klempt and A. V. Sarantsev, private communication . Google Scholar
J. Gunteret al., Phys. Rev. D 64, 007003 (2001), DOI: 10.1103/PhysRevD.64.072003. Google Scholar
V. V. Anisovich, Yu. D. Prokoshkin and A. V. Sarantsev, Phys. Lett. B 389, 388 (1996), DOI: 10.1016/S0370-2693(96)01317-2. Web of Science, ADS, Google Scholar
V. V. Anisovichet al., Yad. Fiz. 60, 1489 (2000). Google Scholar
V. V. Anisovich and A. V. Sarantsev, Eur. Phys. J. A 16, 229 (2003), DOI: 10.1140/epja/i2002-10068-x. Web of Science, ADS, Google Scholar
A. V. Anisovich and A. V. Sarantsev, Phys. Lett. B 413, 137 (1997), DOI: 10.1016/S0370-2693(97)01089-7. Web of Science, ADS, Google Scholar
S. Eidelmanet al., Phys. Lett. B 592, 1 (2004), DOI: 10.1016/j.physletb.2004.06.001. Web of Science, ADS, Google Scholar
V. V. Anisovichet al., Yad. Fiz. 57, 1666 (1994). Google Scholar
V. V. Anisovichet al., Phys. Lett. B 323, 233 (1994), DOI: 10.1016/0370-2693(94)90297-6. Web of Science, ADS, Google Scholar
V. V. Anisovichet al., Phys. Rev. D 50, 1972 (1994), DOI: 10.1103/PhysRevD.50.1972. Web of Science, Google Scholar
G. 't Hooft, Nucl. Phys. B 72, 461 (1974), DOI: 10.1016/0550-3213(74)90154-0. Web of Science, Google Scholar
G. Veneziano, Nucl. Phys. B 117, 519 (1976), DOI: 10.1016/0550-3213(76)90412-0. Web of Science, ADS, Google Scholar
K. Peters and E. Klempt, Phys. Lett. B 352, 467 (1995), DOI: 10.1016/0370-2693(95)00457-V. Web of Science, ADS, Google Scholar
V. V. Anisovich and V. M. Shekhter, Nucl. Phys. B 55, 455 (1973), DOI: 10.1016/0550-3213(73)90391-X. Web of Science, ADS, Google Scholar
J. D. Bjorken and G. E. Farrar, Phys. Rev. D 9, 1449 (1974), DOI: 10.1103/PhysRevD.9.1449. Web of Science, ADS, Google Scholar
M. A. Voloshin, Yu. P. Nikitin and P. I. Porfirov, Yad. Fiz. 35, 1006 (1982). Google Scholar
S. S. Gershtein, A. K. Likhoded and Yu. D. Prokoshkin, Zeit. Phys. C 24, 305 (1984), DOI: 10.1007/BF01410369. Web of Science, ADS, Google Scholar
C. Amsler and F. E. Close, Phys. Rev. D 53, 295 (1996), DOI: 10.1103/PhysRevD.53.295. Web of Science, ADS, Google Scholar
C. Amsler and F. E. Close, Phys. Lett. B 353, 385 (1995), DOI: 10.1016/0370-2693(95)00579-A. Web of Science, ADS, Google Scholar
V. V. Anisovich, Phys. Lett. B 364, 195 (1995), DOI: 10.1016/0370-2693(95)01396-2. Web of Science, ADS, Google Scholar
V. V. Anisovichet al., Phys. Lett. B 404, 166 (1997), DOI: 10.1016/S0370-2693(97)00607-2. Web of Science, ADS, Google Scholar
A. V. Anisovich , hep-ph/0104005 . Google Scholar
A. V. Anisovich, V. V. Anisovich and A. V. Sarantsev, Phys. Rev. D 62, 051502(R) (2000), DOI: 10.1103/PhysRevD.62.051502. Web of Science, Google Scholar
V. V. Anisovich, Pis'ma v ZhETF 80, 845 (2004). Google Scholar
V. V. Anisovich and A. V. Sarantsev, Pis'ma v ZhETF 81, 531 (2005). Google Scholar
R. Jaffe, Phys. Rev. D 15, 267 (1977), DOI: 10.1103/PhysRevD.15.267. Web of Science, ADS, Google Scholar
J. Weinstein and N. Isgur, Phys. Rev. D 41, 2236 (1990), DOI: 10.1103/PhysRevD.41.2236. Web of Science, ADS, Google Scholar
F. E. Closeet al., Phys. Lett. B 319, 291 (1993), DOI: 10.1016/0370-2693(93)90816-Z. Web of Science, ADS, Google Scholar
S. Narison, Nucl. Phys. B 509, 312 (1998), DOI: 10.1016/S0550-3213(97)00562-2. Web of Science, ADS, Google Scholar
S. Narison, Nucl. Phys. (Proc. Suppl.) B 64, 210 (1998), DOI: 10.1016/S0920-5632(97)01064-5. Web of Science, ADS, Google Scholar
P. Minkowski and W. Ochs, Eur. Phys. J. C 9, 283 (1999), DOI: 10.1007/s100530050441. ADS, Google Scholar
D. M. Aldeet al., Phys. Lett. B 397, 350 (1997), DOI: 10.1016/S0370-2693(97)00228-1. Web of Science, ADS, Google Scholar
D. Barberiset al., Phys. Lett. B 453, 305 (1999), DOI: 10.1016/S0370-2693(99)00365-2. Web of Science, Google Scholar
D. Barberiset al., Phys. Lett. B 453, 325 (1999), DOI: 10.1016/S0370-2693(99)00367-6. Web of Science, Google Scholar
D. Barberiset al., Phys. Lett. B 462, 462 (1997), DOI: 10.1016/S0370-2693(99)00909-0. Web of Science, ADS, Google Scholar
K. Ackerstaffet al., Eur. Phys. J. C 4, 19 (1998), DOI: 10.1007/s100520050183. Web of Science, Google Scholar
S. M. Flatté, Phys. Lett. B 63, 224 (1976), DOI: 10.1016/0370-2693(76)90654-7. Web of Science, ADS, Google Scholar
V. V. Anisovich, V. A. Nikonov and V. A. Sarantsev, Yad. Fiz. 65, 1583 (2002). Google Scholar
V. V. Anisovich, V. A. Nikonov and V. A. Sarantsev, Yad. Fiz. 66, 772 (2003). Google Scholar
A. V. Anisovich, V. V. Anisovich, V. N. Markov, V. A. Nikonov and A. V. Sarantsev, to appear in Yad. Fiz. , hep-ph/0403123 . Google Scholar
K. L. Au, D. Morgan and M. R. Pennington, Phys. Rev. D 35, 1633 (1987), DOI: 10.1103/PhysRevD.35.1633. Web of Science, ADS, Google Scholar
D. Morgan and M. R. Pennington, Phys. Rev. D 48, 1185 (1993), DOI: 10.1103/PhysRevD.48.1185. Web of Science, ADS, Google Scholar
V. V. Anisovich, L. G. Dakhno and V. A. Nikonov, Yad. Fiz. 67, 1593 (2004). Google Scholar
A. Deandreaet al., Phys. Lett. B 502, 79 (2001), DOI: 10.1016/S0370-2693(01)00183-6. Web of Science, ADS, Google Scholar
F. Kleefeldet al., Phys. Rev. D 66, 034007 (2002), DOI: 10.1103/PhysRevD.66.034007. Web of Science, Google Scholar
P. Minkowski and W. Ochs , hep-ph/02092223 . Google Scholar
A. V. Anisovich, V. V. Anisovich and V. A. Nikonov, Eur. Phys. J. A 12, 103 (2001), DOI: 10.1007/s100500170043. Web of Science, ADS, Google Scholar
A. V. Anisovichet al., Yad. Fiz. 65, 523 (2002). Google Scholar
N. N. Achasov, AIP Conf. Proc. 619 (2002) p. 112, DOI: 10.1063/1.1482441. Google Scholar
F. E. Close, Int. J. Mod. Phys. A 17, 3239 (2002), DOI: 10.1142/S0217751X02012715. Link, Web of Science, ADS, Google Scholar
M. A. DeWitt, H. M. Choi and C. R. Ji, Phys. Rev. D 68, 054026 (2003), DOI: 10.1103/PhysRevD.68.054026. Web of Science, Google Scholar
A. J. F. Siegert, Phys. Rev. 52, 787 (1937), DOI: 10.1103/PhysRev.52.787. Web of Science, ADS, Google Scholar
V. V. Anisovichet al., Nucl. Phys. A 544, 747 (1992), DOI: 10.1016/0375-9474(92)90540-Z. Web of Science, ADS, Google Scholar
V. V. Anisovich and V. A. Nikonov, Eur. Phys. J. A 8, 401 (2000), DOI: 10.1007/s100500070093. Web of Science, ADS, Google Scholar
V. V. Anisovich and V. A. Nikonov , hep-ph/0008163 . Google Scholar
V. V. Anisovich, Usp. Fiz. Nauk 174, 49 (2004). Google Scholar
G. F. Chew , The Analytic S-Matrix ( Benjamin , New York , 1966 ) . Google Scholar
A. V. Vereshagin and V. V. Vereshagin, Phys. Rev. D 58, 016002 (1999). Google Scholar
S. Pislaket al., Phys. Rev. Lett. 87, 221801 (2001), DOI: 10.1103/PhysRevLett.87.221801. Web of Science, Google Scholar
J. L. Basdevant, C. D. Frogatt and J. L. Petersen, Phys. Lett. B 41, 178 (1972), DOI: 10.1016/0370-2693(72)90456-X. Web of Science, ADS, Google Scholar
J. L. Basdevant and J. Zinn-Justin, Phys. Rev. D 3, 1865 (1971), DOI: 10.1103/PhysRevD.3.1865. Web of Science, Google Scholar
D. Iagolnitzer, J. Justin and J. B. Zuber, Nucl. Phys. B 60, 233 (1973), DOI: 10.1016/0550-3213(73)90178-8. Web of Science, ADS, Google Scholar
B. S. Zou and D. V. Bugg, Phys. Rev. D 48, R3942 (1994). Google Scholar
B. S. Zou and D. V. Bugg, Phys. Rev. D 50, 591 (1994), DOI: 10.1103/PhysRevD.50.591. Web of Science, ADS, Google Scholar
G. Janssenet al., Phys. Rev. D 52, 2690 (1995), DOI: 10.1103/PhysRevD.52.2690. Web of Science, ADS, Google Scholar
V. V. Anisovich, L. G. Dakhno, V. A. Nikonov, V. N. Markov and A. V. Sarantsev, to appear in Yad. Fiz. , hep-ph/0410361 . Google Scholar
G. S. Baliet al., Phys. Lett. B 309, 378 (1993), DOI: 10.1016/0370-2693(93)90948-H. Web of Science, ADS, Google Scholar
J. Sexton, A. Vaccarino and D. Weingarten, Phys. Rev. Lett. 75, 4563 (1995), DOI: 10.1103/PhysRevLett.75.4563. Web of Science, ADS, Google Scholar
C. J. Morningstar and M. Peardon, Phys. Rev. D 56, 4043 (1997), DOI: 10.1103/PhysRevD.56.4043. Web of Science, ADS, Google Scholar
L. Faddeev, A. J. Niemi and U. Wiedner , hep-ph/0308240 . Google Scholar
D. V. Bugg, Phys. Rep. 397, 257 (2004), DOI: 10.1016/j.physrep.2004.03.008. Web of Science, ADS, Google Scholar