u‰‰ŽาF S. P. Kruchinin ŽiBogolyubov Institute for Theoretical Physics, Kiev, Ukrainej “๚ŽžF @‚PŒŽ@‚P‚X“๚i–ุj@Œ฿Œใ‚SŽž‚R‚O•ช‚ฉ‚็ ๊ŠF ยŽRŠw‰@‘ๅŠw@—HŠw•”i‘Š–อŒดƒLƒƒƒ“ƒpƒXj‚k“‚UŠK@‚k‚U‚O‚RŽบ ‘่–ฺFuTwo-gap superconductivity in MgB2v —vŽ|F The recent discovery of the superconductivity of MGB2 has attracted great interest in multigap superconductivity. We use our two-band model to explain the two coupled superconductivity gaps in MgB2. To study the effect of the increased Tc in MgB2 due to enhanced interband pairing scattering, we propose a two-chenal scenarion: a conventional chenal connected with BCS mehanism in different zone and unconventional chanel that describes the transfer or tunneling of a Cooper pair between two bands. The critical temperature is defined and the possibility of increasing the critical temperature is demonstrated. We also investigate of nanosize two-gap superconductivity using our model. --------------------------------- ‹ครF@ยŽRŠw‰@‘ๅŠw@‚Q‚Pข‹ICOEƒvƒƒOƒ‰ƒ€