Unified Phonon-Coupled Su(n) Models for Anomalies in Metal Deuterides

Hagelstein, Peter L.

doi:10.1142/9789812701510_0078

Cited by 2 publications

(2 citation statements)

References 16 publications

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“…For this reason, Schwinger [7], Hagelstein [6], and Chubb [1] invoked arguments associated either with Eq. 8, or (in Hagelstein's case) to an equivalent formulation, based on an alternative formalism (the Resonant Group Method), involving coupling to a coherent many-body state.…”

Section: H Effmentioning

confidence: 99%

“…(Schwinger undoubtedly would have found a similar result had he not been misled by the incorrect geometry suggested by Sun and Tomanek [9].) In his treatment, Hagelstein [6] explicitly includes the coordinate dependencies of all of the nucleons in the problem, as well as an effective (Gamow-like) tunneling factor that impedes deuteron-deuteron overlap when two deuterons occupy the same site.…”

Section: H Effmentioning

confidence: 99%

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Framework for Understanding Lenr Processes, Using Conventional Condensed Matter Physics

Chubb¹

2006

Condensed Matter Nuclear Science

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Conventional Condensed Matter physics provides a unifying framework for understanding Low Energy Nuclear Reactions (LENR's) in solids. In the paper, standard many-body physics techniques are used to illustrate this fact. Specifically, the paper shows that formally the theories by Schwinger, Hagelstein, and Chubb and Chubb (C&C), all can be related to a common set of equations, associated with reaction rate and energy transfer, through a standard many-body physics procedure (R-Matrix theory). In each case, particular forms of coherence are used that implicitly provide a mechanism for understanding how LENR's can proceed without the emission of high energy particles. In addition, additional ideas, associated with Conventional Condensed Matter physics, are used to extend the earlier Ion Band State (IBS) model by C&C. The general model clarifies the origin of coherent processes that initiate LENR's, through the onset of ion conduction that can occur through ionic fluctuations in nanoscale crystals. In the case of PdD x , these fluctuations begin to occur as x→1 in sub-lattice structures with characteristic dimensions of 60 nm. The resulting LENR's are triggered by the polarization between injected d's and electrons (immediately above the Fermi energy) that takes place in finite-size PdD crystals. During the prolonged charging of PdD x , the applied, external electric field induces these fluctuations through a form of Zener tunneling that mimics the kind of tunneling, predicted by Zener, that is responsible for possible conduction (referred to as Zener-electric breakdown) in insulators. But because the fluctuations are ionic, and they occur in PdD, nano-scale structures , a more appropriate characterization is Zener-ionic breakdown in nano-crystalline PdD. Using the underlying dynamics, it is possible to relate triggering times that are required for the initiation of the effect, to crystal size and externally applied fields.

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Section: H Effmentioning

confidence: 99%

Section: H Effmentioning

confidence: 99%

Framework for Understanding Lenr Processes, Using Conventional Condensed Matter Physics

Chubb¹

2006

Condensed Matter Nuclear Science

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Resonant Tunneling and Resonant Excitation Transfer

Hagelstein

2005

Condensed Matter Nuclear Science

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Issues involved in the tunneling of deuterons in metal deuterides are considered in relation to experimental claims of anomalies in metal deuterides. From earlier studies, screening is thought to be similar to the case of molecular D 2 . Resonant tunneling has been advocated in the literature as a possible mechanism to achieve tunneling enhancements. We develop a two-level system for a piecewise constant potential model for resonant tunneling that matches the energy levels in the vicinity of a level crossing, arguing that such models are applicable for more general potential models. Resonant tunneling effects and dynamics, including acceleration due to coherence, are accounted for in the model. The model is extended to include relaxation effects, and it is found that one would not expect to find coherent effects associated with tunneling in the case of two deuterons in a metal lattice. We present a simple model for the transfer of excitation from a collection of deuterons to a collection of helium nuclei, a model closely related to resonant tunneling and also to new phonon-coupled SU(N) models under development. The excitation transfer models show coherent enhancements as well as collective effects.

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Unified Phonon-Coupled Su(n) Models for Anomalies in Metal Deuterides

Cited by 2 publications

References 16 publications

Framework for Understanding Lenr Processes, Using Conventional Condensed Matter Physics

Framework for Understanding Lenr Processes, Using Conventional Condensed Matter Physics

Resonant Tunneling and Resonant Excitation Transfer

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