Vector Gauge Boson Dark Matter for the SU(N) Gauge Group Model

The existence of dark matter is explained by a new neutral vector boson, C-boson, of mass (900 GeV), predicted by the Wu mechanisms for mass generation of gauge field. According to the Standard Model (SM) W, Z-bosons normally get their masses through coupling with the SM Higgs particle of mass 125 GeV. We compute the self-annihilation cross section of the vector gauge boson C-dark matter and calculate its relic abundance. We also study the constraints suggested by dark-matter direct-search experiments. The problem on the stability of C-particle is left as an open question for future research.     

Path Integral Solution for a Dirac Particle in Non-Abelian SU(N) Gauge Field

The propagator of a Dirac particle in interaction with a non-Abelian SU(N) gauge field is determined according to the path integral formalism of Alexandrou et al. by using the representation so called “local projection” and the wave functions are extracted. Furthermore, it is shown that certain selected equations obtained during the integrations can also be classically derived.     

SU(3)L × U(l)X Model and N-Particle as Dark Matter Particle

We proposed an SU(3)_L × U(l)_X gauge model for the electroweak interactions. In the model each lepton family contains two neutral particles. We show that the new neutral lepton (N-particle) can play the role of dark matter particle.     

Unification of Non-Abelian SU(N) Gauge Theory and Gravitational Gauge Theory

In this paper, a general theory on unification of non-Abelian SU(N) gauge interactions and gravitationalinteractions is discussed. SU(N) gauge interactions and gravitational interactions are formulated on the similar basisand are unified in a semi-direct product group GSU(N). Based on this model, we can discuss unification of fundamentalinteractions of Nature.     

Self-Dual Solutions for SU(2) and SU(3) Gauge Fields on Euclidean Space

Self-dual solutions for SU(2) gauge fields on Euclidean space that satisfy Yang's ansatz are generalized by considering as a function of for a special case when is a complex analytic function and for SU(3) when _i, i = 1, 2, 3, are complex analytic functions.     

Nuclear Matter in a Chiral SU(3) Quark Mean-Field Model

A quark meson coupling model based on SU(3)_L×SU(3)_R symmetry and scale invariance is proposed. The quarks and mesons get masses through symmetry broken. We apply this SU(3) chiral constituent quark model to investigating the nuclear matter at finite temperature and density. The effective baryon masses, compression modulus and hyperon potentials are all reasonable. The critical temperature of liquid-gas phase transition is also calculated in this model.     

Chapter 5 Dark Matter and New Physics Beyond the Standard Model with LHAASO

In order to reveal the nature of dark matter,it is crucial to detect its non-gravitational interactions with the standard model particles.The traditional dark m...     

Particle ratios from a chiral SU(3) model

The measured particle ratios in central heavy-ion collisions are investigated within a chemical and thermal equilibrium chiral SU(3) σ?ω approach. Contrary to the commonly adopted non-interacting gas calculations, the chiral SU(3) model predicts modified effective hadron masses and effective chemical potentials in the medium and a transition to a chirally restored phase at high temperatures or chemical potentials. the influence of three different types of phase transitions is investigated. We show that the deduced freeze-out values considerably depend on the underlying model while the quality of the fit is approximately the same.     

Superconductivity in Restricted Chromo-Dynamics (RCD) in SU(2) and SU(3) Gauge Theories

Characterizing the dyonically condensed vacuum by the presence of two massive modes (one determining how fast the perturbative vacuum around a colour source reaches the condensation and the other giving the penetration length of colored flux) in SU(2) theory, it has been shown that due to the dynamical breaking of magnetic symmetry the vacuum of RCD acquires the properties similar to those of relativistic superconductor. Analysing the behaviour of dyons around RCD string, the solutions of classical field equations have been obtained and it has been shown that magnetic constituent of dyonic current is zero at centre of the string and also at the points far away from the string. Extending RCD in the realistic color gauge group SU(3), it has been shown that the resulting Lagrangian leads to dyonic condensation, color confinement and the superconductivity with the presence of two scalar modes and two vector modes.     

Constraints on Non-Flat Starobinsky f(R) Dark Energy Model

We study the viable Starobinsky f(R) dark energy model in spatially non-flat FLRW backgrounds, where f(R)=R−λRch[1−(1+R2/Rch2)−1] with Rch and λ representing the characteristic curvature scale and model parameter, respectively. We modify CAMB and CosmoMC packages with the recent observational data to constrain Starobinsky f(R) gravity and the density parameter of curvature ΩK. In particular, we find the model and density parameters to be λ−1<0.283 at 68% C.L. and ΩK=−0.00099−0.0042+0.0044 at 95% C.L., respectively. The best χ2 fitting result shows that χf(R)2≲χΛCDM2, indicating that the viable f(R) gravity model is consistent with ΛCDM when ΩK is set as a free parameter. We also evaluate the values of AIC, BIC and DIC for the best fitting results of f(R) and ΛCDM models in the non-flat universe.     

Spin-Orbit Force of NN Interaction Based on Chiral SU(3) Quark Model

Spin-orbit force of the NN interaction is studied in the framework of the chiral SU(3) quark model. Both symmetric and antisymmetric spin-orbit (LS) forces of the one gluon exchange and scalar meson exchanges are taken into account. It is shown that although the inclusions of the LS forces caused by the scalar meson exchanges and the antisymmetric LS terms in this model can notably strengthen the LS couplings in the states of ³P_J of the NN interaction, an additional enhancement factor is still needed in order to describe the experimental data.     

Study about Light Hypernuclei and YN Interaction Based on Chiral SU(3) Quark Model

In terms of the YN interaction based on the chiral SU(3) quark model,the spectra of light hypernuclei 4ΛH,4ΛHe and 5ΛHe are calculated. The result shows that the effective local ΛN potential,as an approximation,cannot offer a reasonable explanation of the empirical data, while the non-local ΛN potential,also as an approximation,can provide a reasonable range of the binding energy of 5ΛHe and correct ordering of the energy levers of 4ΛH,4ΛHe. This indicates that the non-local character of the effective YN interaction plays an important role in binding behavior. The upper bounds and lower bounds of energy levels are given by employing two sets of model parameters in the calculation. Thus,the experimental data of hypernuclei can provide more information as the constraints of model. In the present stage,YN interaction(no matter phenomenology of theoretical interaction) cannot be finalized due to lack of experimental data. Utilizing experimental data,it is possible to optimize model parameters in the theoretical studies of YN interaction.     

基于手征SU(3)夸克集团模型的YN相互作用和轻超核研究

采用基于手征SU(3)夸克集团模型的YN相互作用位,计算了轻Λ超核5ΛHe,4ΛHe和4ΛH的能谱.结果显示,近似的等效定域ΛN相互作用位不能给出正确的超核结合能,而非定域ΛN位能给出超核5ΛHe结合能的合理范围以及超核4ΛHe和4ΛH能级的正确顺序.这表明YN相互作用的非定域性起着重要的作用.计算中采用了2套模型参数,计算结果正好给出实验值的上下限.这表明超核的实验数据可以提供更多的信息来进一步约束YN相互作用,以弥补YN散射实验数据的不足.利用超核实验数据来优化选择YN相互作用参数是有可能做得到的.     

Obtaining the Gauge Invariant Kinetic Term for a SU(n) U ⊗ SU(m) V Lagrangian

We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which a gauge transformation ruled by an SU(n) _U ⊗ SU(m) _V coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard model Lagrangian. This generalized formulation is supposed to contribute for initiating the study of gauge transformation applied to generalized SU(n) _U ⊗ SU(m) _V symmetries as well as for complementing an introductory study of the standard model of elementary particles.     

SU (4) × SU (4) symmetry breaking and its implications for SU (3) × SU (3) breaking

We investigate models where the SU (4) × SU (4) symmetry breaking Hamiltonian, $\text{H}$_SB, belongs to the (15, 15) and $\text{(10,}\text{10}\text{) + (}\text{10}\text{, 10)}$ representations, and show how they are equivalent to models of SU (3) × SU (3) breaking where $\text{H}$_SB belongs to a mixture of different representations. The results for the ππ scattering lengths in the (15, 15) model are outside the experimental limits, but the $\text{(10,}\text{10}\text{) + (}\text{10}\text{, 10)}$ model yields solutions with a wide range of values for the scattering lengths within the experimental bounds.     

SU(2)纯格点规范场热力学非对称点阵Monte-Carlo模拟

在非对称点阵(ξ=2,3)上模拟了SU(2)纯格点规范场系统的热力学行为,结果表明,非对称点阵Monte-Carlo模拟是实现快速趋向连续物理极限的有效途径.