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Astrophysical S-factor for the deep sub-barrier fusion reactions of light nuclei

“…The present formalism has been used to calculate the fusion cross-sections for D+D, D+T, D+ 3 He, p+D, p+ 6 Li and p+ 7 Li. While the first three [9][10][11][12][13] of these fusion reactions have been done in past with a completely different motive of fusion power production, the rest have been explored in the present work with an intention to use all these six reactions for astrophysical purposes. For the D+D, D+T and D+ 3 He, we use the same V r , V i and R from Refs.…”

“…The lifetime effect on the resonant tunneling can be best achieved by introducing an imaginary part into the nuclear interaction potential. The complex nuclear potential has been shown to describe successfully the resonant tunneling effects in deep sub-barrier fusion using a three dimensional model for wide range of energies [9][10][11]. It is precisely, overcoming of the Gamow tunneling insufficiencies by maximizing a damp-matching resonant tunneling.…”

Quantum load-matching

“…4 by closing the wave guide at the dashed line with a conducting wall. This way we obtain the microwave analogue of the quantum model studied by Li [4].…”

“…It also has important technical applications such as, e.g., Josephson junctions [3] and tunnel diodes [2]. In this paper we discuss in detail a novel tunneling effect, first presented by Li [4], that is best described as quantum load-matching. In brief, by adjusting simultaneously the tunneling rate and the absorption rate in a tunnel junction, exceptionally large tunneling currents can be achieved.…”

“…In order to illustrate the difference between reactions that are load-matched and those that are not, let us consider as a reference example the two reactions [4,6] 11 B(p, α) 8 Be(2 4 He), 11 B(p, γ) 12 C, (…”