Spectrum of beryllium dimer in ground X1Σg+ state


Derbov V.L. Chuluunbaatar G. Gusev A.A. Chuluunbaatar O. Vinitsky S.I. Góźdź A. Krassovitskiy P.M. Filikhin I. Mitin A.V.
March 2021Elsevier Ltd

Journal of Quantitative Spectroscopy and Radiative Transfer
2021#262

The calculations of the spectrum of vibrational-rotational bound states and new metastable states of the beryllium dimer in ground X1Σg+ state important for laser spectroscopy are presented. The problem is solved using the potential energy curves from [A.V. Mitin, Chem. Phys. Lett. 682, 30 (2017)] and [M. Lesiuk et al, Chem. Theory Comput. 15, 2470 (2019)], and the authors’ software package that implements the iteration Newton method and the high-accuracy finite element method. The efficiency of the proposed approach is demonstrated by the upper and lower estimates of the spectrum of vibrational-rotational bound states and, for the first time, rotational-vibrational metastable states with complex-valued energy eigenvalues (with negative imaginary parts of the order of (10−20÷6) cm−1) in the beryllium dimer. The existence of these metastable states is confirmed by calculating the corresponding scattering states with real-values resonance energies.

Beryllium dimer , Eigenvalue and scattering problems , Finite element method , Spectrum of bound and metastable states

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N.G. Chernyshevsky Saratov National Research State University, Saratov, Russian Federation
Joint Institute for Nuclear Research, Dubna, Russian Federation
Peoples’ Friendship University of Russia (RUDN University), 117198, Moscow, Russian Federation
Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia
Institute of Physics, University of M. Curie-Skłodowska, Lublin, Poland
Institute of Nuclear Physics, Almaty, Kazakhstan
Department of Mathematics and Physics, North Carolina Central University, Durham, 27707, NC, United States
Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141700, Russian Federation
Joint Institute for High Temperatures of RAS, Izhorskaya st. 13 Bd.2, 125412, Moscow, Russian Federation

N.G. Chernyshevsky Saratov National Research State University
Joint Institute for Nuclear Research
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Digital Technology
Institute of Physics
Institute of Nuclear Physics
Department of Mathematics and Physics
Moscow Institute of Physics and Technology
Joint Institute for High Temperatures of RAS

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