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首页> 外文期刊>Hadronic Journal >NONUNITARY LIE-ISOTOPIC AND LIE-ADMISSIBLE SCATTERING THEORIES OF HADRONIC MECHANICS, IV: REVERSIBLE ELECTRON-PROTON AND ELECTRON-POSITRON SCATTERINGS
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NONUNITARY LIE-ISOTOPIC AND LIE-ADMISSIBLE SCATTERING THEORIES OF HADRONIC MECHANICS, IV: REVERSIBLE ELECTRON-PROTON AND ELECTRON-POSITRON SCATTERINGS

机译：强子力学的非单位同构和准容许散射理论，四：可逆的电子质子和电子-正电子散射

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摘要

In the preceding three papers of this series, we have presented a non-unitary, invariant, axiom preserving, Lie-isotopic broadening of the scattering theory, called isoscattering theory, for the representation within the context of hadronic mechanics of reversible particle events. In this paper we show, apparently for the first time, that the nonunitary character of the new scattering theory allows the representation of the synthesis and subsequent spontaneous decay of: the synthesis of the neutron from a proton and an electron, e.g., as occurring in stars, e~- + p → n + v→ p + e~- + v +v-; the π° meson from an electron-positron pair, e+ + e~- → π~0 → e~+ + e~-; and similar events known as synthesis of hadrons. These events are beyond the representational capability of the conventional scattering theory because, as shown in preceding studies, they require a positive binding energy (since the rest energy of the synthesized particle is bigger than the sum of the rest energies of the original constituents) under which the Schroedinger equation and other unitary formalisms of quantum mechanics provides no physically meaningful solutions. By contrast, hadronic mechanics has allowed an exact, numerical and invariant representation of all characteristics of said hadron syntheses precisely in view of its nonunitary character. Consequently, in this paper we show that the isoscattering theory does allow, for the first time, a representation of the indicated hadron syntheses as nonconserva-tive events requiring missing energy provided by the environment. The proposed isoscattering theory then emerges as the only known invariant representation of these nonconservative scattering events.
机译：在本系列的前三篇论文中，我们提出了一种非等价的，不变的，公理保留的，称为等散射理论的散射理论的李同位素扩展，用于在可逆粒子事件的强子力学中进行表示。在本文中，我们显然是第一次证明，新的散射理论的非character性特性可以表示合成和随后的自发衰减：质子和电子的中子合成，例如在星星，e〜-+ p→n + v→p + e〜-+ v + v-;来自电子-正电子对的π°介子e + + e〜-→π〜0→e〜+ + e〜-;以及类似事件被称为强子的合成。这些事件超出了常规散射理论的表示能力，因为如先前的研究所示，它们需要在以下条件下具有正结合能（因为合成粒子的剩余能量大于原始成分的剩余能量之和） Schroedinger方程和量子力学的其他统一形式主义没有提供任何物理上有意义的解决方案。相比之下，强子力学由于其非单一性而允许精确，数值和不变地表示所述强子合成的所有特征。因此，在本文中，我们证明了等散射理论确实第一次允许将指示的强子合成表示为非保守事件，需要环境提供缺少的能量。然后，提出的等散射理论成为这些非保守散射事件的唯一已知不变表示。

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