Energy Levels of Mesomolecular Ions of Hydrogen in Variational Approach

Martynenko, A. P.; Martynenko, F. A.; Sorokin, V. V.; Sukhorukova, O. S.; Eskin, A. V.

doi:10.3103/s1068335619040092

Cited by 6 publications

(3 citation statements)

References 11 publications

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“…To start solving (9), it is necessary to know the matrix elements of the Hamiltonian which were calculated by us in previous papers [16][17][18]. To improve the accuracy of the calculation, it is necessary to consider corrections to the structure of the nucleus and vacuum polarization, relativistic correction.…”

Section: General Formalismmentioning

confidence: 99%

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Energy levels in muonic helium

et al. 2019

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The energy spectrum of bound states and hyperfine structure of muonic helium is calculated on the basis of stochastic variational method. The basis wave functions of muonic helium are taken in the Gaussian form. The matrix elements of the Hamiltonian are calculated analytically. For numerical calculation a computer code is written in the MATLAB system. As a result, numerical values of bound state energies and hyperfine structure are obtained. We calculate also correction to the structure of the nucleus, vacuum polarization and relativistic correction.

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Section: General Formalismmentioning

confidence: 99%

“…Another important energy interval that could be investigated experimentally could be the electron Lamb shift (2P-2S) [14][15]. In this work we study hyperfine structure and the electron Lamb shift in muonic helium atom using the stochastic variational approach [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Energy levels in muonic helium

et al. 2019

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“…Now let us calculate matrix elements of the hyperfine part of the Hamiltonian. The potential of hyperfine structure of L = 0 state, which is a part of the Breit Hamiltonian, can be written in the following simple form for three interacting particles with spins S 1 , S 2 , S 3 respectively [7][8][9]:…”

Section: Hyperfine Structurementioning

confidence: 99%

Hyperfine structure of muonic mesomolecules tdµ, tpµ, dpµ in variational method

et al. 2019

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The hyperfine structure of energy levels of muonic molecules tdµ, tpµ and dpµ is calculated on the basis of stochastic variational method. The basis wave functions are taken in the Gaussian form. The matrix elements of the Hamiltonian are calculated analytically. Vacuum polarization, relativistic and nuclear structure corrections are taken into account to increase the accuracy. For numerical calculation, a computer code is written in the MATLAB system. Numerical values of energy levels of hyperfine structure in muonic molecules tdµ, tpµ and dpµ are obtained.

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