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SUMMARY:Hyperfine structure of S-states in muonic ions of lithium\, beryll
 ium and boron
DTSTART;VALUE=DATE-TIME:20181024T140000Z
DTEND;VALUE=DATE-TIME:20181024T141500Z
DTSTAMP;VALUE=DATE-TIME:20260811T025145Z
UID:indico-contribution-1265@cern.ch
DESCRIPTION:Speakers: Olga Sukhorukova ()\nPrecision investigation of the 
 hyperfine structure (HFS) of the energy spectrum of light muonic atoms is 
 an important task nowadays. It allows us to check the standard model and o
 btain more precise values of fundamental physical constants. The relevance
  of such research is connected with the experiments carried out by CREMA C
 ollaboration. In these experiments Lamb shift of 2S and 2P and HFS for muo
 nic hydrogen and muonic deuterium was obtained by means of laser spectrosc
 opy. To calculate HFS of muonic ions we use quasipotential method in quant
 um electrodynamics\, where the bound state of muon and nucleus can be desc
 ribed by means of Schrodinger equation and the potential is constructed wi
 th the use of scattering off-shell amplitude. The main contribution to the
  interaction operator of two particles is given by the well-known Breit Ha
 miltonian. \nIn perturbation theory infinite series for the interaction op
 erator of particles includes contributions of different kinds of interacti
 ons\, primarily electromagnetic. Relativistic corrections of order $\\alph
 a^6$ and also the contribution of anomalous magnetic moment of muon are kn
 own in analytical form. \nOne- and two-loop vacuum polarization effects of
  order $\\alpha^5$ and $\\alpha^6$ in first and second order perturbation 
 theory were obtained in integral form and evaluated numerically. One of th
 e leading contributions to the HFS is given by the nuclear structure effec
 t. Such effects can be described by means of two-photon exchange amplitude
 s.  To calculate these amplitudes and also to calculate amplitudes of high
 er order of  $\\alpha$ the approach of projection operator was used. We al
 so calculate more complicated corrections that involve combined effects of
  vacuum polarization\, relativism and nuclear structure of order $\\alpha^
 6$. Furthermore the dependance of the calculated contributions on the char
 ge $Z$ of the nucleus  was studied and final numerical values of HFS were 
 obtained.\n\nhttps://indico.particle.mephi.ru/event/22/contributions/1265/
LOCATION:Hotel Intourist Kolomenskoye 4* Alekseevskiy hall
URL:https://indico.particle.mephi.ru/event/22/contributions/1265/
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