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A model of a neutrinoless 2\b{eta}-decay was proposed which predicted a shiftof the 2\b{eta}0{\nu}-signal from the Q value (2\b{eta}-decay energy). Theshifts were calculated for 76Ge ({\Delta}E=-2.6 keV), 100Mo ({\Delta}E=-4.7keV), 130Te ({\Delta}E=-3.7 keV). An appearance of the shifts was explained byan excitation of atomic shells of the product atom, with the followingde-excitation by emission of X-rays. A virtual excitation of the product nucleiwas supposed in an addition to exchange with a virtual neutrino between the twodecaying neutrons.  A comparison with the H-M and Cuoricino data has strongly supported thevalidity of the proposed model. It pointed out also that the2\b{eta}0{\nu}-decay has been experimentally observed ten years ago.

An improved model of the neutrinoless double-beta decay. HM-results for 76Ge and a reanalysis of CUORICINO data for 130Te