The case of a Feshbach shape resonance in the pairing mechanism for high T csuperconductivity in a crystalline lattice of doped metallic nanotubes isdescribed. The superlattice of doped metallic nanotubes provides asuperconductor with a strongly asymmetric gap. The disparity and differentspatial locations of the wave functions of electrons in different subbands atthe Fermi level should suppress the single electron impurity interbandscattering giving multiband superconductivity in the clean limit. The Feshbachresonances will arise from the component single-particle wave functions out ofwhich the electron pair wave function is constructed: pairs of wave functionswhich are time inverse of each other. The Feshbach shape resonance increasesthe critical temperature by tuning the chemical potential at the Lifshitzelectronic topological transition (ETT) where the Fermi surface of one of thebands changes from the one dimensional (1D) to the two dimensional (2D)topology (1D/2D ETT).
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