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arXiv 1504.04348physics.gen-ph
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中微子辅助费米子-玻色子跃迁

Neutrino-assisted fermion-boson transitions

Andrzej Okninski

摘要:

我们研究费米子-玻色子跃迁。我们的方法是基于狄拉克和Duffin-Kemmer-Petiau方程的$3\times 3$子方程,这些方程之间的联系。证明了在中微子场存在下,自由Dirac方程可以可逆地转化为自旋$0$ Duffin-Kemmer-Petiau方程.我们还证明了在特殊的外场中,当再次假设中微子(Weyl)旋量存在时,Dirac方程可以可逆地转化为自旋- $0$ Duffin-Kemmer-Petiau方程.我们认为这种玻色子-费米子跃迁与π介子衰变的主通道是一致的。

英文摘要:

We study fermion-boson transitions. Our approach is based on the $3\times 3$ subequations of Dirac and Duffin-Kemmer-Petiau equations, which link these equations. We demonstrate that free Dirac equation can be invertibly converted to spin-$0$ Duffin-Kemmer-Petiau equation in presence of a neutrino field. We also show that in special external fields, upon assuming again existence of a neutrino (Weyl) spinor, the Dirac equation can be transformed reversibly to spin-$0$ Duffin-Kemmer-Petiau equation. We argue that such boson-fermions transitions are consistent with the main channel of pion decay.

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