Bose–Einstein Condensation Nuclear Fusion: Role of Monopole Transition
Yeong E. Kim · Thomas E. Ward
Abstract and summary · read the original at the source
In one page
Pack deuterium into a metal grain a few nanometres across and, Yeong Kim of Purdue argues, the deuterons stop behaving as separate particles and drop into one shared quantum state — a Bose–Einstein condensate, the same coherent state ultracold atom traps make. In that state his fusion rate loses the Gamow factor, the exponential penalty that normally makes low-energy fusion vanishingly rare, because each nucleus then moves in a common average potential instead of meeting its neighbour one-on-one. This paper, written with Thomas Ward, supplies the missing back half of the story: where the 23.85 million electronvolts actually goes. They propose a monopole vibration of the helium-4 nucleus — a breathing density oscillation whose width is set by the metal’s free-electron plasma frequency — which hands the energy to electron oscillations and then to lattice heat rather than to fast particles. They derive the S-factor for that channel, find it dominates every other exit, predict a branching ratio, and name the two measurements that would test the whole picture.
Why it matters hereChapter twelve’s question is not whether fusion happens in a lattice but by what mechanism, and this is one of the few papers that answers the hardest part of it — how a nuclear-scale energy release ends up as heat in a metal instead of as radiation you would have seen. It is the companion to Kim’s 2011 statement of the theory, also in this library.
What it claims
01The founding assumption is that mobile deuterons inside a micro- or nano-scale metal particle occupy a single Bose–Einstein condensate ground state, held by a trapping potential of order one electronvolt deep; the theory is therefore explicitly not applicable to deuterons in bulk metal, which offers no well-defined localized trap.Sect. 2, opening paragraphs
Published and peer-reviewed02The derived fusion rate for a single trap scales as the square of the number of deuterons in it divided by the cube of the trap diameter, and contains no Gamow factor at all — the exponential Coulomb suppression that governs fusion in free space cancels once the ground-state occupation is large, because each charged boson then moves in a common average background potential.Sect. 2, Eqs. (4) and (5) and the paragraph following Eq. (5)
Published and peer-reviewed03The energy release is routed through a threshold resonance: two condensed deuterons form an excited helium-4 state at 23.85 MeV with zero reaction energy, so momentum is conserved without a third body, and that state then decays to the helium-4 ground state either into phonons or into an electron–positron pair.Sect. 3, reactions 1, 1a and 1b; Fig. 1
Published and peer-reviewed04The dominant exit channel dissipates the full 23.85 MeV into collective electron and deuteron vibration at the metal’s free-electron plasma frequency of about one times ten to the sixteenth per second, which converts into lattice phonons and therefore into heat — the calculated S-factor for that channel is about 0.45 times ten to the eighth keV-barn, far larger than any other exit.Sect. 3 and Sect. 3.1, Eqs. (12) and (13)
Published and peer-reviewed05The theory makes a falsifiable prediction: the branching ratio of the pair-production channel to the phonon channel is about two times ten to the minus three times the squared overlap of the initial and final nuclear states, which for a plausible overlap gives roughly two parts in a hundred thousand, measurable by counting helium-4 production against electron–positron production in the same run.Sect. 3.1, closing paragraph; Sect. 4
What to watch06The assumed 23.85 MeV monopole state of helium-4 cannot be reached by gamma-ray excitation and cannot be seen in deuteron beam experiments, so the named experiment that would settle it is inelastic electron scattering off helium-4, measuring both the width of the state and its pair-decay mode.Sect. 4, first two paragraphs
What to watch
Read it · abstract
Abstract
Based on a single conventional physical concept of Bose–Einstein condensation of deuterons in metal, theory of Bose–Einstein condensation nuclear fusion (BECNF) has been developed to explain many diverse experimental results. We investigate the role of monopole transition in BECNF theory, assuming a collective monopole vibrational excited nuclear state in 4He. Using the threshold resonance reaction mechanism, we derive formulae for S-factor, which can be used in BECNF theory to obtain the nuclear reaction rate. We find the reaction rate for this reaction is far greater than other exit reaction channels. The proposed monopole transition mechanism is capable of dissipating fusion energy into vibrational (phonon) energies in metal. Experimental tests of the monopole transition mechanism are proposed.
Yeong E. Kim and Thomas E. Ward. Journal of Condensed Matter Nuclear Science 6 (2012) 101–107. Research Article.
(Abstract only. The complete article is free to read at the publisher — see the rights note for why the full text is not reproduced here. The companion sheet, Kim’s statement of the underlying theory, is at /library/stm-b29b16be6e.)
The way in
https://doi.org/10.70923/001c.72163Licence checked in the article itself: the published paper, J. Condensed Matter Nucl. Sci. 6 (2012) 101–107, carries the line ‘© 2012 ISCMNS. All rights reserved.’ on both the first page and the abstract block, and no Creative Commons statement appears anywhere in it. Unpaywall records the article as bronze open access — free to read at jcmns.org, but with no open licence attached — so this sheet carries the summary, the claims and the authors’ own abstract and sends the reader to the source. The claims below were written from the complete published paper, and the locators use the article’s own section numbering. Kim writes from the Department of Physics at Purdue University, West Lafayette; Ward from Techsource Inc., Germantown, Maryland. The theory this paper extends has its own sheet in this library: Kim’s ‘Bose–Einstein Condensate Theory of Deuteron Fusion in Metal’, J. Condensed Matter Nucl. Sci. 4 (2011) 188–201, at /library/stm-b29b16be6e.
How to cite it
Yeong E. Kim, Thomas E. Ward (2012) Bose–Einstein Condensation Nuclear Fusion: Role of Monopole Transition. doi:10.70923/001c.72163
Where it sits in the curriculum