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Yayın Alpha head on collision with a fixed gold nucleus, taking into account the relativistic rest mass variation as implied by mass-energy equivalence(Polish Acad Sciences Inst Physics, 2014-02) Yarman, Nuh Tolga; Arık, Metin; Kholmetskii, Alexander; Altıntaş, Azmi Ali; Özaydın, FatihWe reformulate the Rutherford scattering of alpha particle for a head on collision, taking into account the rest mass variation of the particle, as implied by the energy conservation law. Our relativistic reformulation (which includes the energy conservation) constitutes a new example for the breakdown of the Lorentz invariance. Briefly speaking, even at rest or during the whole scattering process, the distance between the alpha particle and the gold nucleus is not invariant but depends on the frame of the observer attached to either object. According to our relativistic reformulation, we also provide a new set of Lorentz transformations.Yayın A novel approach to the systematization of alpha-decaying nuclei, based on shell structures(Springer, 2016-05-24) Yarman, Nuh Tolga; Zaim, Nimet; Susam, Lidya Amon; Kholmetskii, Alexander; Arık, Metin; Altıntaş, Azmi Ali; Özaydın, FatihWe provide a novel systematization of alpha-decaying nuclei, starting with the classically adopted mechanism. The decay half-life of an alpha-disintegrating nucleus is framed, supposing that i) the alpha-particle is born inside the parent, then ii) it keeps on hitting the barrier, while it runs back and forth inside the parent, and hitting each time the barrier, and iii) it finally tunnels through the barrier. One can, knowing the decay half-life, consider the probability that the alpha-particle is born within the parent, before it is emitted, as a parameter. Under all circumstances, the decay appears to be governed by the shell structure of the given nucleus. Our approach well allows to incorporate (not only even-even nuclei, but) all nuclei, decaying via throwing an alpha particle. Though herein, we limit ourselves with just even-even nuclei, in the aim of comparing our results with the existing Geiger-Nuttal results.