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    Placer Minerals of the Russian Arctic Shelf

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    On the D-wave state component of the deuteron in the Nambu-Jona-Lasinio model of light nuclei

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    The D-wave state component of the neutron-proton bound state in the deuteron is calculated in the Nambu-Jona-Lasinio model of light nuclei - the relativistically covariant quantum field theoretic approach to the description of low-energy nuclear forces. The theoretical value of the fraction of the D-wave state relative to the S-wave state is equal to eta_d = 0.0238. This agrees well with the phenomenological value eta_d = 0.0256(4) quoted by Kamionkowski and Bahcall (ApJ. 420, 884 (1994)).Comment: 7 pages, latex, no figure

    Six-loop ε\varepsilon expansion study of three-dimensional nn-vector model with cubic anisotropy

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    The six-loop expansions of the renormalization-group functions of φ4\varphi^4 nn-vector model with cubic anisotropy are calculated within the minimal subtraction (MS) scheme in 4ε4 - \varepsilon dimensions. The ε\varepsilon expansions for the cubic fixed point coordinates, critical exponents corresponding to the cubic universality class and marginal order parameter dimensionality ncn_c separating different regimes of critical behavior are presented. Since the ε\varepsilon expansions are divergent numerical estimates of the quantities of interest are obtained employing proper resummation techniques. The numbers found are compared with their counterparts obtained earlier within various field-theoretical approaches and by lattice calculations. In particular, our analysis of ncn_c strengthens the existing arguments in favor of stability of the cubic fixed point in the physical case n=3n = 3
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