Regular Article - Theoretical Phyics
Quantum design in study of pycnonuclear reactions in compact stars
Nuclear fusion, new quasibound states and spectroscopy
Wigner Research Centre for Physics, 1121, Budapest, Hungary
2 Institute for Nuclear Research, National Academy of Sciences of Ukraine, 03680, Kyiv, Ukraine
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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