Deuteron model

A breakthrough was achieved a few years ago when it was realized that an anal dic calculation of the deuterium recoil, structure and polarizability corrections is possible in the zero range approximation [76, 77]. An analytic result for the difference in (12.29), obtained as a result of a nice calculation in [77], is numerically equal 44 kHz, and within the accuracy of the zero range approximation perfectly explains the difference between the experimental result and the sum of the nonrecoil corrections. More accurate calculations of the nuclear effects in the deuterium hyperfine structure beyond the zero range approximation are feasible, and the theory of recoil and nuclear corrections was later improved in a number of papers [78, 79, 80, 81, 82]. Comparison of the results of these works with the experimental data on the deuterium hyperfine splitting may be used as a test of the deuteron models and state of the art of the nuclear calculations. 

The new proposed deuteron model is founded on the principles of SLRT and QMT. In Ref. 4, where QMT is presented, it is shown that, if the electron in the hydrogen atom is excited to the state of the potential quantum number, n = 794 then, the electron turns into a positron. The consequence is very unusual the hydrogen atom turns into a system of one proton and one positron, which is undoubtedly a very odd example of CP violation. This has been obtained as a result of theoretical analysis based on the QMT principles. If this is experimentally proved, then atoms with very unusual physical characteristics will certainly be obtained, and a rather exotic regime of matter could be expected. 

Because both versions, which have been elaborated on in Ref. 5—one with muons and the other with pions—give almost identically good results of the analysis, the question arises as to which version prevails, and what arguments may help us reach such a conclusion. The important thing is that the new deuteron model proposed here implies the participation of mesons in the deuteron structure. Whether they are p mesons, that is muons, or n mesons, that is, pions, does not have any influence at all on any of the main computed magnitudes, which characterize the new deuteron model. What is really important is the fact that the newly proposed deuteron model offers a completely new insight into nuclear forces and nuclear structures in general. 

It is the author s personal belief that it is not fortuitous that the predictions of the quasi-deuteron model are in agreement with some aspects of Courant s theory at low energies. 

Convincing evidence of the validity of the quasi-deuteron model has been provided by the observations of neutrons in coincidence with photoprotons by Barton and Smith at the University of Illinois and by a group at M.I.T.. ... 

The measurements of concentration gradients at surfaces or in multilayer specimens by neutron reflectivity requires contrast in the reflectivity fiDr the neutrons. Under most circumstances this means that one of the components must be labeled. Normally this is done is by isotopic substitution of protons with deuterons. This means that reflectivity studies are usually performed on model systems that are designed to behave identically to systems of more practical interest. In a few cases, however (for organic compounds containing fluorine, for example) sufficient contrast is present without labeling. 

I assume that in nuclei the nucleons may. as a first approximation, he described as occupying localized 1. orbitals to form small clusters. These small clusters, called spherons. arc usually hclions, tritons, and dincutrons in nuclei containing an odd number of neutrons, an Hc i cluster or a deuteron may serve as a spheron. The localized l.v orbitals may be described as hybrids of the central-field orbitals of the shell model. 

Komfield J.A., Spiess H.W., Nefzger H., Hayen H., and Eisenbach C.D. Deuteron NMR measurement of order and mobility in the hard segments of a model polyurethane, Macromolecules, 24, 4787, 1991. Meltzer A.D., Spiess H.W., Eisenbach C.D., and Hayen H. Motional behaviour within the hard domain of segmented polyurethane A NMR study of a triblock model system. Macromolecules, 25, 993, 1992. 

Nuclear magnetic resonance provides means to study molecular dynamics in every state of matter. When going from solid state over liquids to gases, besides mole- cular reorientations, translational diffusion occurs as well. CD4 molecule inserted into a zeolite supercage provides a new specific model system for studies of rotational and translational dynamics by deuteron NMR. 

In the theory of deuteron spin-lattice relaxation we apply a simple model to describe the relaxation of the magnetizations T and (A+E), for symmetry species of four coupled deuterons in CD4 free rotators. Expressions are derived for their direct relaxation rate via the intra and external quadrupole couplings. The jump motion between the equilibrium positions averages the relaxation rate within the same symmetry species. Spin conversion transitions couple the relaxation of T and (A+E). This mixing is included in the calculations by reapplying the simple model under somewhat different conditions. The results compare favorably with the experimental data for the zeolites HY, NaA and NaMordenite [6] and NaY presented here. Incoherent tunnelling is believed to dominate the relaxation process at lowest temperatures as soon as CD4 molecules become localized. 

A small step rotational diffusion model has been used to describe molecular rotations (MR) of rigid molecules in the presence of a potential of mean torque.118 120,151 t0 calculate the orientation correlation functions, the rotational diffusion equation must be solved to give the conditional probability for the molecule in a certain orientation at time t given that it has a different orientation at t = 0, and the equilibrium probability for finding the molecule with a certain orientation. These orientation correlation functions were found as a sum of decaying exponentials.120 In the notation of Tarroni and Zannoni,123 the spectral denisities (m = 0, 1, 2) for a deuteron fixed on a reorienting symmetric top molecule are ... 

Two parameters that are accessible to the experimentalist have been the effect of the interchange of a deuteron for a proton upon the dynamics of transfer and the effect of temperature variation upon the kinetics of proton-deuteron transfer [49]. As previously mentioned, the semiclassical model has been employed in the rationalization of kinetic deuteron isotope effects that exceed the factor of 7.0, the maximum predicted by the classical model [5]. However, the full quantum model also allows for the wide range in the kinetic deuteron isotope effect, the range of which overlaps that predicted by the semiclassical model [53]. Thus, the kinetic deuteron isotope effect in and of itself cannot be used to distinguish between the two models. 

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