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
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 (12) Similar articles (20)

© 1918–2023 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions