https://doi.org/10.1140/epja/s10050-022-00870-z
Regular Article - Theoretical Phyics
Quantum design in study of pycnonuclear reactions in compact stars
Nuclear fusion, new quasibound states and spectroscopy
1
Wigner Research Centre for Physics, 1121, Budapest, Hungary
2
Institute for Nuclear Research, National Academy of Sciences of Ukraine, 03680, Kyiv, Ukraine
Received:
15
September
2022
Accepted:
27
October
2022
Published online:
15
November
2022
Pycnonuclear reactions in compact stars at zero temperatures are studied on quantum mechanical basis with high precision. Method of multiple internal reflections is generalized for analysis of reactions in for compact stars, including new calculations of spectra of zero-point vibrations. Peculiarities of the method are analyzed for reaction 
. Study of the pycnonuclear reaction requires complete analysis of quantum fluxes in the internal nuclear region. This reduces rate and number of pycnonuclear reactions by 1.8 times. This leads to the appearance of new states (called as quasibound states) where the compound nuclear system is formed with maximal probability. As shown, minimal energy of such a state is a little higher than energy of zero-point vibrations in lattice sites in pycnonuclear reaction, however probability of formation of compound system at the quasibound state is essentially larger than the corresponding probability at state of zero-point vibrations. Energy spectrum of zero-point vibrations is estimated with high precision. Rates of reactions for quasibound states are more essentially larger, than for states of zero-point vibrations. At first time, the method MIR opens possibilities to include mechanisms of fusion to the theory of pycnonuclear reactions in stars. Spectrum of zero-point vibrations obtained by method MIR is essentially different from spectrum of harmonic oscillator.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
