Issues

 / 

2019

 / 

January

  

Reviews of topical problems


Strong isospin symmetry breaking in light scalar meson production

,
S.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, prosp. akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation

Isospin symmetry breaking is discussed as a tool for studying the nature and production mechanisms of light scalar mesons. We are concerned with isospin breaking effects with amplitude $\sim\sqrt{m_{\rm d}-m_{\rm u}}$ (instead of the usual $\sim (m_{\rm d}-m_{\rm u})$), where $m_{\rm u}$ and $m{\rm _d}$ are the u and d quark masses, respectively, whose magnitude and phase vary with energy in a resonance-like way characteristic of the ${\rm K}\bar {\rm K}$ threshold region. The review considers a variety of reactions that can reveal (or have revealed) experimentally the mixing of ${\rm a}^0_0(980)$- and ${\rm f}_0(980)$ resonances that breaks the isotopic invariance due to the mass difference of the ${\rm K}^+$ and ${\rm K}^0$ mesons. The experimental results on the search for the ${\rm a}^0_0(980)-{\rm f}_0(980)$ mixing in the ${\rm f}_1(1285)\to {\rm f}_0(980)\pi^0\to\pi^+\pi^-\pi^0$ и $\eta(1405)\to {\rm f}_0(980)\pi^0\to\pi^+\pi^-\pi^0$ decays have suggested a broader perspective on the isotopic symmetry breaking effects due to the ${\rm K}^+{\rm K}^0$ mass difference. It has become clear that not only the ${\rm }a^0_0(980)-{\rm f}_0(980)$ mixing but also any mechanism producing ${\rm K}\bar {\rm K}$ pairs with a definite isospin in the S wave gives rise to such effects, thus suggesting a new tool for studying the nature and production mechanisms of light scalars. Of particular interest is the case of a large isotopic symmetry violation in the $\eta(1405) \to {\rm f}_0(980)\pi^0 \to \pi^+\pi^-\pi^0$ decay due to the occurrence of anomalous Landau thresholds (logarithmic triangle singularities), i.e., due to the $\eta(1405)\to({\rm K}^*\bar {\rm K}+\bar {\rm K}^*{\rm K})\to({\rm K}^+{\rm K}^-+{\rm K}^0\bar {\rm K}^0)\pi^0\to {\rm f}_0(980)\pi^0\to\pi^+\pi^-\pi^0$ transition (where the ${\rm K}^*$ meson should be crucially considered to be of finite width).

Fulltext pdf (1 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2018.01.038281
Keywords: physics of light scalar mesons, isospin symmetry breaking, resonance mixing, reaction mechanisms, experimental investigations
PACS: 11.30.Ly, 12.38.Qk, 13.30.Eg, 13.75.Lb (all)
DOI: 10.3367/UFNe.2018.01.038281
URL: https://ufn.ru/en/articles/2019/1/b/
000462478600001
2-s2.0-85065492647
2019PhyU...62....3A
Citation: Achasov N N, Shestakov G N "Strong isospin symmetry breaking in light scalar meson production" Phys. Usp. 62 3–31 (2019)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 11th, December 2017, revised: 1st, January 2018, 16th, January 2018

Оригинал: Ачасов Н Н, Шестаков Г Н «Сильное нарушение изотопической симметрии при рождении лёгких скалярных мезонов» УФН 189 3–32 (2019); DOI: 10.3367/UFNr.2018.01.038281

References (197) ↓ Cited by (15) Similar articles (20)

  1. Achasov N N Phys. Part. Nucl. 48 681 (2017)
  2. Achasov N N, Devyanin S A, Shestakov G N Phys. Lett. B 88 367 (1979)
  3. Achasov N N, Devyanin S A, Shestakov G N Yad. Fiz. 33 1337 (1981); Achasov N N, Devyanin S A, Shestakov G N Sov. J. Nucl. Phys. 33 715 (1981)
  4. Achasov N N, Devyanin S A, Shestakov G N Usp. Fiz. Nauk 142 361 (1984); Achasov N N, Devyanin S A, Shestakov G N Sov. Phys. Usp. 27 161 (1984)
  5. Achasov N N, Shestakov G N Nucl. Part. Phys. Proc. 287-288 89 (2017)
  6. Achasov N N, Shestakov G N Usp. Fiz. Nauk 161 (6) 53 (1991); Achasov N N, Shestakov G N Sov. Phys. Usp. 34 471 (1991)
  7. Achasov N N Usp. Fiz. Nauk 168 1257 (1998); Achasov N N Phys. Usp. 41 1149 (1998)
  8. Achasov N N, Shestakov G N Usp. Fiz. Nauk 181 827 (2011); Achasov N N, Shestakov G N Phys. Usp. 54 799 (2011)
  9. Patrignani C et al (Particle Data Group) Chin. Phys. C 40 100001 (2016), and 2017 update
  10. Flatté S M et al Phys. Lett. B 38 232 (1972)
  11. Gay J B et al Phys. Lett. B 63 220 (1976)
  12. Flatté S M Phys. Lett. B 63 224 (1976); Flatté S M Phys. Lett. B 63 228 (1976)
  13. Jaffe R L Phys. Rev. D 15 267 (1977); Jaffe R L Phys. Rev. D 15 281 (1977)
  14. Martin A D, Ozmutlu E N, Squires E J Nucl. Phys. B 121 514 (1977)
  15. Achasov N N, Devyanin S A, Shestakov G N Yad. Fiz. 32 1098 (1980); Achasov N N, Devyanin S A, Shestakov G N Sov. J. Nucl. Phys. 32 566 (1980)
  16. Achasov N N, Devyanin S A, Shestakov G N Phys. Lett. B 96 168 (1980)
  17. Achasov N N, Devyanin S A, Shestakov G N Z. Phys. C 22 53 (1984)
  18. Achasov N N, Ivanchenko V N Nucl. Phys. B 315 465 (1989)
  19. Close F E, Törnqvist N A J. Phys. G 28 R249 (2002)
  20. Amsler C, Törnqvist N A Phys. Rep. 389 61 (2004)
  21. Maiani L et al Phys. Rev. Lett. 93 212002 (2004)
  22. Fariborz A H, Jora R, Schechter J Phys. Rev. D 72 034001 (2005)
  23. Jaffe R L Phys. Rep. 409 1 (2005)
  24. Klempt E, Zaitsev A Phys. Rep. 454 1 (2007)
  25. ’t Hooft G et al Phys. Lett. B 662 424 (2008)
  26. Weinberg S Phys. Rev. Lett. 110 261601 (2013)
  27. Dai L-Y, Pennington M R Phys. Rev. D 90 036004 (2014)
  28. Peláez J R Phys. Rep. 658 1 (2016)
  29. Wolkanowski T, Giacosa F, Rischke D H Phys. Rev. D 93 014002 (2016)
  30. Kim K S, Kim H Eur. Phys. J. C 77 435 (2017)
  31. Gell-Mann M, Lévy M Nuovo Cimento 16 705 (1960)
  32. Gell-Mann M Physics 1 63 (1964)
  33. Lévy M Nuovo Cimento A 52 23 (1967)
  34. Achasov N N, Shestakov G N Phys. Rev. D 49 5779 (1994)
  35. Barnett R M et al (Particle Data Group) Phys. Rev. D 54 1 (1996)
  36. Eidelman S et al (Particle Data Group) Phys. Lett. B 592 1 (2004)
  37. Achasov N N, Shestakov G N Phys. Rev. Lett. 99 072001 (2007)
  38. Bramon A, Grau A, Pancheri G Phys. Lett. B 289 97 (1992)
  39. Close F E, Isgur N, Kumano S Nucl. Phys. B 389 513 (1993)
  40. Lucio J L, Napsuciale M Phys. Lett. B 331 418 (1994)
  41. Achasov N N, Gubin V V, Shevchenko V I Phys. Rev. D 56 203 (1997)
  42. Achasov N N, Gubin V V, Solodov E P Phys. Rev. D 55 2672 (1997)
  43. Achasov N N, Gubin V V Phys. Rev. D 56 4084 (1997)
  44. Achasov N N, Gubin V V Phys. Rev. D 57 1987 (1998)
  45. Achasov M N et al (SND Collab.) Phys. Lett. B 438 441 (1998)
  46. Achasov M N et al (SND Collab.) Phys. Lett. B 440 442 (1998)
  47. Achasov M N et al (SND Collab.) Phys. Lett. B 479 53 (2000)
  48. Achasov M N et al (SND Collab.) Phys. Lett. B 485 349 (2000)
  49. Akhmetshin R R et al (CMD-2 Collab.) Phys. Lett. B 462 371 (1999)
  50. Akhmetshin R R et al (CMD-2 Collab.) Phys. Lett. B 462 380 (1999)
  51. Aloisio A et al (KLOE Collab.) Phys. Lett. B 536 209 (2002)
  52. Aloisio A et al (KLOE Collab.) Phys. Lett. B 537 21 (2002)
  53. Ambrosino F et al (KLOE Collab.) Phys. Lett. B 634 148 (2006)
  54. Ambrosino F et al (KLOE Collab.) Eur. Phys. J. C 49 473 (2007)
  55. Bossi F et al (KLOE Collab.) Riv. Nuovo Cimento 031 531 (2008)
  56. Ambrosino F et al (KLOE Collab.) Phys. Lett. B 679 10 (2009)
  57. Ambrosino F et al (KLOE Collab.) Phys. Lett. B 681 5 (2009)
  58. Achasov N N, Gubin V V Phys. Rev. D 63 094007 (2001)
  59. Achasov N N, Gubin V V Phys. Rev. D 64 094016 (2001)
  60. Achasov N N Yad. Fiz. 65 573 (2002); Achasov N N Phys. Atom. Nucl. 65 546 (2002)
  61. Achasov N N Nucl. Phys. A 728 425 (2003)
  62. Achasov N N Yad. Fiz. 67 1552 (2004); Achasov N N Phys. Atom. Nucl. 67 1529 (2004)
  63. Achasov N N, Kiselev A V Phys. Rev. D 68 014006 (2003)
  64. Achasov N N, Kiselev A V Phys. Rev. D 73 054029 (2006)
  65. Achasov N N, Kiselev A V Phys. Rev. D 76 077501 (2007)
  66. Achasov N N, Kiselev A V Phys. Rev. D 78 058502 (2008)
  67. Achasov N N, Kiselev A V Phys. Rev. D 85 094016 (2012)
  68. Achasov N N, Devyanin S A, Shestakov G N Phys. Lett. B 108 134 (1982)
  69. Achasov N N, Devyanin S A, Shestakov G N Z. Phys. C 16 55 (1982)
  70. Antreasyan D et al (Crystal Ball Collab.) Phys. Rev. D 33 1847 (1986)
  71. Marsiske H et al (Crystal Ball Collab.) Phys. Rev. D 41 3324 (1990)
  72. Boyer J et al (MARK II Collab.) Phys. Rev. D 42 1350 (1990)
  73. Achasov N N, Shestakov G N Z. Phys. C 41 309 (1988)
  74. Mori T et al (Belle Collab.) Phys. Rev. D 75 051101(R)
  75. Mori T et al (Belle Collab.) J. Phys. Soc. Jpn. 76 074102 (2007)
  76. Uehara S et al (Belle Collab.) Phys. Rev. D 78 052004 (2008)
  77. Uehara S et al (Belle Collab.) Phys. Rev. D 80 032001 (2009)
  78. Pennington M R et al Eur. Phys. J. C 56 1 (2008)
  79. Achasov N N, Shestakov G N Phys. Rev. D 72 013006 (2005)
  80. Achasov N N, Shestakov G N Phys. Rev. D 77 074020 (2008)
  81. Achasov N N, Kiselev A V Phys. Rev. D 86 114010 (2012)
  82. Achasov N N, Kiselev A V Int. J. Mod. Phys. Conf. Ser. 35 1460447 (2014)
  83. Asner D M et al (BESIII Collab.) Int. J. Mod. Phys. A 24 S1 (2009)
  84. Alvarenga Nogueira J H et al "Summary of the 2015 LHCb Workshop on Multi-Body decays of D and B Mesons" arXiv:1605.03889
  85. dos Reis A C "LHCb - three-body decays of charged D mesons", Alvarenga Nogueira J H et al arXiv:1605.03889, Sec. IV, p. 13; dos Reis A C "Amplitude analysis of charm decays at LHCb" Proc. of the 8th Intern. Workshop on Charm Physics, 5-9 September, 2016, Bologna, Italy; dos Reis A C PoS CHARM2016 034 (2017)
  86. Loiseau B Proc. of the VIII Intern. Workshop on Charm Physics, 5-9 September, 2016 Bologna, Italy; Loiseau B arXiv:1611.05286
  87. Achasov N N, Devyanin S A, Shestakov G N Pis’ma ZhETF 40 365 (1984); Achasov N N, Devyanin S A, Shestakov G N JETP Lett. 40 1173 (1984)
  88. Achasov N N, Devyanin S A, Shestakov G N Z. Phys. C 27 99 (1985)
  89. Kolanoski H Two-photon Physics At E+e Storage Rings (Tracts in Modern Physics) Vol. 150 (Berlin: Springer-Verlag, 1984)
  90. Albrecht H et al (ARGUS Collab.) Phys. Lett. B 217 205 (1989)
  91. Behrend H J et al (CELLO Collab.) Phys. Lett. B 218 493 (1989)
  92. Achasov N N, Shestakov G N Int. J. Mod. Phys. A 7 4313 (1992)
  93. Achasov N N, Shestakov G N Phys. Rev. D 60 114021 (1999)
  94. Ioffe B L Usp. Fiz. Nauk 171 1273 (2001); Ioffe B L Phys. Usp. 44 1211 (2001)
  95. Achasov N N, Kozhevnikov A A, Shestakov G N Phys. Rev. D 93 114027 (2016)
  96. Ablikim M et al (BES III Collab.) Phys. Rev. D 83 032003 (2011)
  97. Achasov N N, Kiselev A V Phys. Rev. D 70 111901(R) (2004)
  98. Achasov N N, Shestakov G N Phys. Rev. D 56 212 (1997)
  99. Irving A C Nucl. Phys. B 105 491 (1976)
  100. Dzierba A R Proc. of the Second Workshop on Physics and Detectors for DAΦNE’95 (Frascati Physics Ser.) Vol. 4 (Eds R Baldini et al) (Frascati: INFN, 1996) p. 99
  101. Teige S et al (E852 Collab.) Phys. Rev. D 59 012001 (1998)
  102. Sadovsky S A AIP Conf. Proc. 432 774 (1998)
  103. Aldi D i dr Yad. Fiz. 62 462 (1999); Alde D et al Phys. At. Nucl. 62 421 (1999)
  104. Achasov N N, Shestakov G N Phys. Rev. Lett. 92 182001 (2004)
  105. Achasov N N, Shestakov G N Phys. Rev. D 70 074015 (2004)
  106. Kerbikov B, Tabakin F Phys. Rev. C 62 064601 (2000)
  107. Close F E, Kirk A Phys. Lett. B 489 24 (2000)
  108. Grishina V Yu et al Phys. Lett. B 521 217 (2001)
  109. Achasov N N, Kiselev A V Phys. Lett. B 534 83 (2002)
  110. Black D, Harada M, Schechter J Phys. Rev. Lett. 88 181603 (2002)
  111. Kudryavtsev A E et al Phys. Rev. C 66 015207 (2002); Kudryavtsev A E i dr Yad. Fiz. 66 1994 (2003); Kudryavtsev A E et al Phys. At. Nucl. 66 1946 (2003)
  112. Buescher M et al. hep-ph/0301126
  113. Kondratyuk L A i dr Yad. Fiz. 66 155 (2003); Kondratyuk L A et al Phys. At. Nucl. 66 152 (2003)
  114. Hanhart C AIP Conf. Proc. 688 61 (2003); Hanhart C Phys. Rep. 397 155 (2004)
  115. Buescher M Acta Phys. Pol. B 35 1055 (2004)
  116. Wang Z-G, Yang W-M, Wan S-L Eur. Phys. J. C 37 223 (2004)
  117. Adam H et al. nucl-ex/0411038
  118. Nikolaenko V Proc. of the 12th Intern. Conf. on Hadron Spectroscopy (Frascati Physics Series) Vol. 46 (Eds L Benussi et al) (Frascati: INFN, 2007) p. 617
  119. Dorofeev V et al (VES Collab.) Eur. Phys. J. A 38 149 (2008)
  120. Nikolaenko V et al (VES Collab.) Int. J. Mod. Phys. A 24 295 (2009)
  121. Dorofeev V et al (VES Collab.) Eur. Phys. J. A 47 68 (2011)
  122. Wu J-J, Zhao Q, Zou B S Phys. Rev. D 75 114012 (2007)
  123. Wu J-J, Zou B S Phys. Rev. D 78 074017 (2008)
  124. Ablikim M et al (BESIII Collab.) Phys. Rev. Lett. 108 182001 (2012)
  125. Wu J-J et al Phys. Rev. Lett. 108 081803 (2012)
  126. Aceti F et al Phys. Rev. D 86 114007 (2012)
  127. Wu X-G et al Phys. Rev. D 87 014023 (2013)
  128. Roca L Phys. Rev. D 88 014045 (2013)
  129. Close F E, Kirk A Phys. Rev. D 91 114015 (2015)
  130. Sekihara T, Kumano S Phys. Rev. D 92 034010 (2015)
  131. Sekihara T, Kumano S J. Phys. Soc. Jpn. Conf. Proc. 8 022006 (2015)
  132. Aceti F, Dias J M, Oset E Eur. Phys. J. A 51 48 (2015)
  133. Ablikim M et al (BESIII Collab.) Phys. Rev. D 92 012007 (2015)
  134. Achasov N N, Kozhevnikov A A, Shestakov G N Phys. Rev. D 92 036003 (2015)
  135. Albaladejo M, Moussallam B PoS 15 057 (2015); Albaladejo M, Moussallam B arXiv:1510.06626
  136. Wang W Phys. Lett. B 759 501 (2016)
  137. Albaladejo M et al JHEP 2017 10 (2017)
  138. Albaladejo M, Moussallam B Eur. Phys. J. C 77 508 (2017)
  139. Achasov N N, Shestakov G N Phys. Rev. D 96 036013 (2017)
  140. Achasov N N, Shestakov G N Phys. Rev. D 96 016027 (2017)
  141. Sakai S, Oset E, Liang W H Phys. Rev. D 96 074025 (2017)
  142. Bayar M, Debastiani V R Phys. Lett. B 775 94 (2017)
  143. Ablikim M et al (BES Collab.) Phys. Lett. B 607 243 (2005)
  144. Nakamura K, Particle Data Group J. Phys. G 37 075021 (2010)
  145. Ecker G et al Phys. Lett. B 223 425 (1989)
  146. Ecker G et al Nucl. Phys. B 321 311 (1989)
  147. Birse M C Z. Phys. A 355 231 (1996)
  148. Bitukov S I et al (LEPTON-F Collab.) Phys. Lett. B 144 133 (1984)
  149. Armstrong T A et al (ABBC Collab.) Phys. Lett. B 146 273 (1984)
  150. Armstrong T A et al (WA76 Collab.) Z. Phys. C 34 23 (1987)
  151. Achasov N N, Kozhevnikov A A Z. Phys. C 48 121 (1990)
  152. Achasov N N, Kozhevnikov A A Yad. Fiz. 56 191 (1993); Achasov N N, Kozhevnikov A A Phys. Atom. Nucl. 56 1261 (1993)
  153. Achasov N N, Kozhevnikov A A Phys. Rev. D 49 275 (1994)
  154. Achasov N N, Shestakov G N Pis’ma ZhETF 107 292 (2018); Achasov N N, Shestakov G N JETP Lett. 107 276 (2018)
  155. del Amo Sanchez P et al (BaBar Collab.) Phys. Rev. D 83 052001 (2011)
  156. Aubert B et al (BaBar Collab.) Phys. Rev. D 79 032003 (2009)
  157. Mitchell R E et al (CLEO Collab.) Phys. Rev. D 79 072008 (2009)
  158. Naik P et al (CLEO Collab.) Phys. Rev. D 80 112004 (2009)
  159. Onyisi P U E et al (CLEO Collab.) Phys. Rev. D 88 032009 (2013)
  160. Muramatsu H et al (CLEO Collab.) Phys. Rev. Lett. 89 251802 (2002)
  161. Rubin P et al (CLEO Collab.) Phys. Rev. Lett. 93 111801 (2004)
  162. Aubert B et al (BaBar Collab.) Phys. Rev. D 78 034023 (2008)
  163. Peng T et al (Belle Collab.) Phys. Rev. D 89 091103(R) (2014)
  164. del Amo Sanchez P et al (BaBar Collab.) Phys. Rev. Lett. 105 081803 (2010)
  165. Aubert B et al (BaBar Collab.) Phys. Rev. D 72 052008 (2005)
  166. Garmash A et al (Belle Collab.) Phys. Rev. D 91 072003 (2015)
  167. Achasov N N, Shestakov G N Phys. Rev. D 96 091501(R) (2017)
  168. Achasov N N, Gubin V V Phys. Lett. B 363 106 (1995)
  169. Garmash A et al (Belle Collab.) Phys. Rev. Lett. 96 251803 (2006)
  170. Ablikim M et al (BES Collab.) Phys. Lett. B 607 243 (2005)
  171. Bonvicini G et al (CLEO Collab.) Phys. Rev. D 76 012001 (2007)
  172. Albrow M G, Coughlin T D, Forshaw J R Prog. Part. Nucl. Phys. 65 149 (2010)
  173. Kirk A Int. J. Mod. Phys. A 29 1446001 (2014)
  174. Gutierrez G, Reyes M A Int. J. Mod. Phys. A 29 1446008 (2014)
  175. Khachatryan V et al (CMS Collab.) arXiv:1706.08310
  176. Akesson T et al (AFS Collab.) Nucl. Phys. B 264 154 (1986)
  177. Au K L, Morgan D, Pennington M R Phys. Rev. D 35 1633 (1987)
  178. Armstrong T A et al (WA76 Collab.) Z. Phys. C 51 351 (1991)
  179. Barberis D et al (WA102 Collab.) Phys. Lett. B 453 316 (1999)
  180. Barberis D et al (WA102 Collab.) Phys. Lett. B 453 325 (1999)
  181. Reyes M A et al (E690 Collab.) Phys. Rev. Lett. 81 4079 (1998)
  182. Barberis D et al (WA102 Collab.) Phys. Lett. B 453 305 (1999)
  183. Barberis D et al (WA102 Collab.) Phys. Lett. B 462 462 (1999)
  184. Armstrong T A et al (WA76 Collab.) Z. Phys. C 52 389 (1991)
  185. Barberis D et al (WA102 Collab.) Phys. Lett. B 440 225 (1998)
  186. Barberis D et al (WA102 Collab.) Phys. Lett. B 413 225 (1997)
  187. Sosa M et al (E690 Collab.) Phys. Rev. Lett. 83 913 (1999)
  188. Barberis D et al (WA102 Collab.) Phys. Lett. B 471 440 (2000)
  189. Barberis D et al (WA102 Collab.) Phys. Lett. B 474 423 (2000)
  190. Barberis D et al (WA102 Collab.) Phys. Lett. B 488 225 (2000)
  191. Ganguli S N, Roy D P Phys. Rep. 67 203 (1980)
  192. Alberi G, Goggi G Phys. Rep. 74 1 (1981)
  193. Streng K H Phys. Lett. B 166 443 (1986)
  194. Achasov N N, Shestakov G N Phys. Rev. D 97 054033 (2018)
  195. Sobol A E Ph.D. Thesis (Protvino-Annecy-le-Vienx, 2001)
  196. Achasov N N, Shestakov G N Phys. Rev. D 58 054011 (1998)
  197. Ablikim M et al (BESIII Collab.) Phys. Rev. Lett. 121 022001 (2018)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions