HEURISTIC DEVELOPMENT OF A DIRAC–GOLDHABER MODEL FOR LEPTON AND QUARK STRUCTURE
HEURISTIC DEVELOPMENT OF A DIRAC–GOLDHABER MODEL FOR LEPTON AND QUARK STRUCTURE
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轻子和夸克结构的狄拉克-戈德哈伯模型的启发式发展
DOI：
10.1142/s0217732307022621
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发表时间：
2007
影响因子：
1.4
通讯作者：
G. Rosen
中科院分区：
文献类型：
--
作者：
G. Rosen
所有三个带电轻子的极质量都由$（m_e，m_\mu，m_\tau）=（313.85773~{\rm MeV}）[1+\sqrt{2}\，{\rm cos}\，\theta_k]^2 $给出，精确度为O（10-5），其中θk = 2πk/3 + 2/9，生成数k = 1，2，3。在狄拉克模型的背景下，它表明，这个经验公式的带电轻子承认一个令人满意的S3参数化扩展的标度无关的极质量的夸克和马约拉纳中微子，特别是，顶夸克质量出现为177.698 GeV。质量公式的物理几何解释支持狄拉克和戈德哈伯的提议：同代轻子和夸克在大小和形状上是相同的。具体来说，它们的自相互作用质量似乎集中在半径为$r_k =\ell\，{\rm Re}（1 +\sqrt{2}z_k）$的球面上，其中Kahler径向复坐标zk是用于粒子表面的卡-丘条件$z ^3 =\exp（\dot 2 i/3）$的根，l是基本长度常数。
All three charged lepton pole masses are given to O(10-5) accuracy by $(m_e, m_\mu, m_\tau)=(313.85773~{\rm MeV})[1+\sqrt{2}\,{\rm cos}\,\theta_k]^2$, where θk = 2πk/3 + 2/9 with the generation number k = 1, 2, 3. In the context of a Dirac model, it is shown that this empirical formula for the charged leptons admits a satisfactory S3-parametrized extension for the scale-independent pole masses of quarks and Majorana neutrinos; in particular, the top quark mass emerges as 177.698 GeV. A physical-geometrical interpretation of the mass formula supports Dirac's and Goldhaber's proposals: leptons and quarks of the same generation are identical in size and shape. Specifically, their self-interaction mass appears to be concentrated on spherical surfaces of radii $r_k =\ell\,{\rm Re}(1 +\sqrt{2}z_k)$, in which the Kahler radial complex coordinate zk is a root of the Calabi–Yau condition $z^3=\exp(\dot 2i/3)$ for the envelopment of the particle surfaces and l is a fundamental length constant.
影响因子：
8.6
作者：
T. Araki;K. Eguchi;S. Enomoto;K. Furuno;K. Ichimura;H. Ikeda;K. Inoue;K. Ishihara;K. Ishihara-K.
通讯作者：
T. Araki;K. Eguchi;S. Enomoto;K. Furuno;K. Ichimura;H. Ikeda;K. Inoue;K. Ishihara;K. Ishihara-K.