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SUMMARY:Weakly bound states of dtµ muonic molecular ion in quantum electr
odynamics
DTSTART;VALUE=DATE-TIME:20181024T141500Z
DTEND;VALUE=DATE-TIME:20181024T143000Z
DTSTAMP;VALUE=DATE-TIME:20190721T201818Z
UID:indico-contribution-1266@cern.ch
DESCRIPTION:Speakers: Viacheslav Sorokin (Samara University)\nAn investiga
tion of the energy spectra of hydrogen muonic molecules is important\nfor
muonic catalysis of nuclear fusion reactions. A calculation of fine\nand h
yperfine structure of muonic molecular ions as well as of higher order QED
corrections allows us to predict the rates of reactions of their formatio
n and other parameters of the $\\mu$CF cycle.\nIn this work\, the energy s
pectrum of the excited bound states of muonic molecules $pt\\mu $\, $pd\\m
u $\, and $dt\\mu $\nis calculated on the basis of variational method.\nIn
our work we use a stochastic variational method for obtaining energies of
a three-particle bound system with high accuracy.\nThe trial wave functio
n of the muonic molecule in this approach has the Gaussian form.\nSuch a c
hoice of the basis makes it possible to calculate the matrix elements of t
he Hamiltonian analytically.\nThe matrix of variational parameters in the
framework of stochastic variational method is generated randomly\, which p
revents convergence of the result to a local minimum and eliminates the po
ssibility of obtaining an incorrect result for the energy.\nFor a direct n
umerical calculation\, a computer code was written in the MATLAB system to
solve the many-body problem based on the Schrodinger equation.\nThe progr
am allows not only to find the values of energy for ground and excited sta
te\, but also to perform refinement cycles\, which improve the accuracy of
previously calculated energies.\nAs a result\, the numerical energy level
s of excited states of the muonic molecules $pt\\mu $\, $pd\\mu $ and $dt\
\mu $ were obtained.\nWe also take into account important QED corrections
connected with the vacuum polarization and relativism.\n\nhttps://indico.p
article.mephi.ru/event/22/contributions/1266/
LOCATION:Hotel Intourist Kolomenskoye 4* Alekseevskiy hall
URL:https://indico.particle.mephi.ru/event/22/contributions/1266/
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