Light thresholds in Grand Unified Theories

In a generic Grand Unified Theory with a relatively small dispersion of the spectrum around the Z-boson and the unification masses, a connection is established, exact at one loop level, between M_Z, G_F, α(M_Z and the strong coupling constant α₃(M_Z. At this level of precision, this avoids the logical and phenomenological inconsistency of predicting α₃(M_Z) by means of the electroweak couplings as extracted from the data in the Standard Model rather than in the complete theory. Attention is paid to the independence of the physical results from regularization and/or renormalization schemes.As a particularly relevant example, the analysis is specialized to the case of the Minimal Supersymmetric Standard Model, with emphasis on light charginos and neutralinos.     

About Group Representations in Grand Unified Theories

The main purpose of this article is to systematize group theory methods in Grand Unified Theories (GUTs). An exact representation structure for all admissible groups that unify elementary forces is analysed. The implications of requirements asymptotic freedom for standard SU (3)_c ⊗ SU(2)_L ⊗ U(1)_y model is investigated in detail. It is shown how restrictive are such assumptions in unified model building. As a result the maximal number of families is five independently on the kind of considered model. In several cases this number is even smaller. The maximal horizontal structure of interactions which is possible to embed into unification scheme is also discussed for all admissible models. The number of superheavy particles is evaluated in different unifying schemes.     

Quaternion Octonion Reformulation of Grand Unified Theories

In this paper, Grand Unified theories are discussed in terms of quaternions and octonions by using the relation between quaternion basis elements with Pauli matrices and Octonions with Gell Mann λ matrices. Connection between the unitary groups of GUTs and the normed division algebra has been established to re-describe the SU(5) gauge group. We have thus described the SU(5) gauge group and its subgroup SU(3) _C ×SU(2) _L ×U(1) by using quaternion and octonion basis elements. As such the connection between U(1) gauge group and complex number, SU(2) gauge group and quaternions and SU(3) and octonions is established. It is concluded that the division algebra approach to the theory of unification of fundamental interactions as the case of GUTs leads to the consequences towards the new understanding of these theories which incorporate the existence of magnetic monopole and dyon.     

Proton Decay: The missing piece of Grand Unification

It is argued that one or more than one large megaton-size water cherenkov detector would be able to throw light on the three processes of fundamental significance in nature, namely proton decay, neutrino oscillations and neutrino-emission from the supernovae and pave the way to Grand Unification.     

Multidimensional Unified Theories

An extended spacetime, M^4+N, is a Riemannian (4 + N)-dimensional manifold which admits an N-parameter group G of (spacelike) isometries and is such that ordinary spacetime M⁴ is the space M^4+N/G of the equivalence classes under G-transformations of M^4+N. A multidimensional unified theory (MUT) is a dynamical theory of the metric tensor on M^4+N, the metric being determined from the Einstein-Hilbert action principle: in absence of matter, the Lagrangian is (essentially) the total curvature scalar of M^4+N. A MUT is an extension of the Cho-Freund generalization of Jordan's five-dimensional theory. A MUT can be faithfully translated in four-dimensional language: as a theory on M⁴, a MUT is a gauge field theory with gauge group G. A unifying aspect of MUT's is that all fields occur as elements of the metric tensor on M^4+N. When the isometry generators are subjected to strongest constraints, a MUT becomes the De Witt-Trautman generalization of Kaluza's five-dimensional theory; in four-dimensional language, this is the theory of Yang-Mills gauge fields coupled to gravity. With weaker constraints, a MUT appears to be more natural than a Yang-Mills theory as a physical realization of the gauge principle for an exact symmetry of gauged confined color. Such weakly-constrained MUT leads to bag-type models without the need for ad hoc surgery on the basic. Lagrangian. The present paper provides a detailed introduction to the formalism of multidimensional unified gauge field theory.     

Geometrodynamics in Multidimensional Unified Theories

The unified theory of gravitation and a Yang-Mills field is formulated as a dynamical theory of (r+3) geometries presumed to be principal bundles endowed with a Riemannian metric. Beyond the usual constraint equations the second fundamental form should satisfy a third constraint equation. It is shown that they have a wormhole-type solution describing a pair of Yang-Mills charges.     

93Pd的β缓发质子衰变

通过⁵⁸Ni(⁴⁰Ca,3n2p)反应合成等待点核⁹³Pd,采用氦喷嘴带传输系统加p-γ符合,观测到了它的β缓发质子衰变,测得其半衰期为(1.3±0.2)s.采用统计模型计算拟合了实验测得的β缓发质子能谱和布居到质子发射体子核不同终态的分支比,指认了⁹³Pd的基态自旋为9/2.用Woods-Xason Strutinsky方法计算了⁹³Pd的核位能面,其结果表明93?Pd基态自旋宇称可能为9/2⁺.     

A Generally Covariant Wave Equation for Grand Unified Field Theory

A generally covariant wave equation is derived geometrically for grand unified field theory. The equation states most generally that the covariant d'Alembertian acting on the vielbein vanishes for the four fields which are thought to exist in nature: gravitation, electromagnetism, weak field and strong field. The various known field equations are derived from the wave equation when the vielbein is the eigenfunction. When the wave equation is applied to gravitation the wave equation is the eigenequation of wave mechanics corresponding to Einstein's field equation in classical mechanics, the vielbein eigenfunction playing the role of the quantized gravitational field. The three Newton laws, Newton's law of universal gravitation, and the Poisson equation are recovered in the classical and nonrelativistic, weak-field limits of the quantized gravitational field. The single particle wave-equation and Klein-Gordon equations are recovered in the relativistic, weak-field limit of the wave equation when scalar components are considered of the vielbein eigenfunction of the quantized gravitational field. The Schrödinger equation is recovered in the non-relativistec, weak-field limit of the Klein-Gordon equation). The Dirac equation is recovered in this weak-field limit of the quantized gravitational field (the nonrelativistic limit of the relativistic, quantezed gravitational field when the vielbein plays the role of the spinor. The wave and field equations of O(3) electrodynamics are recovered when the vielbein becomes the relativistic dreibein (triad) eigenfunction whose three orthonormal space indices become identified with the three complex circular indices (1), (2), (3), and whose four spacetime indices are the indices of non-Euclidean spacetime (the base manifold). This dreibein is the potential dreibein of the O(3) electromagnetic field (an electromagnetic potential four-vector for each index (1), (2), (3)). The wave equation of the parity violating weak field is recovered when the orthonormal space indices of the relativistic dreibein eigenfunction are identified with the indices of the three massive weak field bosons. The wave equation of the strong field is recovered when the orthonormal space indices of the relativistic vielbein eigenfunction become the eight indices defined by the group generators of the SU (3) group.     

超对称大统一理论及低能唯象物理

简要地说明为什么有必要扩展粒子物理标准模型.作为最有兴趣的一类扩展,将主要讨论超对称大统一理论及其低能唯象物理.     

No domain wall problem inSU(N) Grand Unified Theory

It is shown that a wide class ofSU(n)×U(1)_P.Q. Grand Unified Theories can avoid the domain wall problem.     

Renormalization Group,Effective Action and Grand Unification Theories in Curved Space-Time

Recent developments in the renormalization group approach to grand unification theories (GUT's) in curved space-time are reviewed. The new kind of asymptotical conformal invariance in “finite” GUT's in curved space-time (with torsion) is derived. A discussion of asymptotically-finite GUT's in flat and curved space-time is presented. The modifications to the renormalization group in curved space with boundary are given. Some applications of the renormalization group are discussed as well as some prospects.     

噁唑体系激发态质子转移和失活的理论研究

利用高精度的CASSCF和MS-CASPT2电子结构计算方法系统地研究了2-(2'-羟基苯基)-4-甲基噁唑的光物理和光化学机理. 在CASSCF级别,首先优化得到势能面极小结构和圆锥交叉结构,及激发态质子转移、异构化、和失活的极小能量路径. 然后用MS-CASPT2方法对所有得到的结构和能量路径进行单点能量校正,我们发现在含有OH…N氢键的构象异构体中,激发态质子转移基本上是一个无垒的过程;在含OH…O 氢键的构象异构体中,激发态质子转移被抑制了. 此外,找到两个能量较低的酮式S₁/S₀圆锥交叉结构,使得激发态质子转移生成的S₁酮式结构可以很快失活到达基态. 但是,醇式S₁/S₀圆锥交叉结构能量较高,抑制了S₁醇式结构的激发态失活.     

进一步指认近质子滴线核129Pm的衰变

2004年曾报道过利用⁴⁰Ca＋⁹²Mo融合蒸发反应产生了近质子滴线新核素Pm,并首次观测到它(EC+b+)衰变产生的能量为99keV的γ射线. 为了进一步确认上述指认，以下提供了三方面的新证据：1)在164－190MeV能量范围内测量了99keV衰变γ射线的激发函数;2)进行了交叉反应 ³⁶Ar＋⁹⁶Ru的实验,观察到了相同的99keV衰变γ射线；3)用Woods-Saxon Strutinsky方法计算了¹²⁹Pm的核势能面，其基态自旋宇称被预言为5/2^－，所以¹²⁹Pm的(EC＋b＋)衰变有利于馈送到子核¹²⁹Nd的5/2_－的低位态，这也与前期报道相符.     

Threshold Corrections to the Minimal SUSY SU(5) Grand Unified Theory

Threshold corrections have been carried out atlow- and high-energy scales to the minimalsupersymmetric SU(5) grand unified theory. More refinedvalues for the Weinberg angle and strong couplingconstant are predicted which are fully consistent withthe latest experimental values.     

23Al的β+延发质子测量

利用TOF-ΔE和0°注入探测器的方法,鉴别并测量了²³Al β⁺延发质子衰变能谱,通过精密脉冲发生器和计数器测得²³Al的半衰期T_1/2=(476±45)ms.实验中重现了能量为0.216,0.278,0.438,0.479MeV的低能衰变质子.另外,还观察到了一个新的β⁺延发衰变能级E_x=8.916MeV,并给出了它们的相对强度.