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SUMMARY:Dynamical $O(4)$-symmetry in the light meson spectrum within the f
 ramework of the Regge approach
DTSTART;VALUE=DATE-TIME:20241024T064500Z
DTEND;VALUE=DATE-TIME:20241024T070000Z
DTSTAMP;VALUE=DATE-TIME:20260808T130452Z
UID:indico-contribution-4305@cern.ch
DESCRIPTION:Speakers: Alisa Tsymbal (Saint Petersburg State University)\nL
 ight mesons tend to cluster near certain values of mass. It is interesting
  to notice that such a degeneracy can be described using dynamical $O(4)$-
 symmetry\, like in the hydrogen atom. The meson mass spectrum can be well 
 approximated by linear Regge trajectories of the kind $M^2=a l+b n_r+c$\, 
 where $l$ and $n_r$ are angular momentum and radial quantum number\, and $
 a$\, $b$\, $c$ are coefficients. Such a spectrum arises naturally within t
 he hadron string models.  Using 2024 data from the Particle Data Group\, a
  fit for $M^2(l\,n_r)$ was performed. Our analysis seems to confirm that $
 a\\approx b$ in the light non-strange mesons\, i.e.\, their masses depend 
 on the sum $l+n_r$ as prescribed by the hydrogen-like $O(4)$-symmetry. Usi
 ng the semiclassical approximation\, we discuss which kind of hadron strin
 g models are more favored by the experimental data.\n\nhttps://indico.part
 icle.mephi.ru/event/436/contributions/4305/
LOCATION: Petrovskiy 1
URL:https://indico.particle.mephi.ru/event/436/contributions/4305/
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