Neutrino masses and flavor mixing in the Extended Double Seesaw Model with two texture zeros

We study the light neutrino mass matrix in the Extended Double Seesaw Model (EDSM), and as a result we get its general form. Also we demonstrate that conventional type-I and double seesaw mechanisms can be regarded as two special cases. We analyze the structure of the 9×9 neutrino mass matrix in this scenario, and surprisingly we find that EDSM will degenerate to a conventional type-I seesaw mechanism when \(M_{\mathrm{R}}= M_{\mathrm{S}}M_{\mu}^{-1}M_{\mathrm{S}}^{T}\) holds exactly. Considering two simple ansätze in two texture zeros for its 3×3 submatrices, we calculate the neutrino masses and flavor mixing angles, in which the θ ₁₃ is a nonzero large angle.     

Analytical Study of Pair Production Rate from Vacuum in an Elliptic Polarized Field by a Two-Level Transition Technique

Electron-positron pair production rate created from vacuum in the presence of an elliptically polarized laser field is investigated.By applying the technique of two level transition amplitude,a routine for obtaining pair production rate is presented,and approximate analytical expressions are given both for the low frequency strong field regime and the high frequency weak field regime.We found that for an elliptically polarized field,the electron-positron pair production rate decrease when the elliptic eccentricity increase in the high frequency weak field regime,however,in the low frequency strong field regime,there is almost the same electron-positron pair production rate as in the constant electric field case.     

Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space

The energy levels of hydrogen-like atom on a noncommutative phase space were studied in the framework of relativistic quantum mechanics. The leading order corrections to energy levels 2S _1/2, 2P _1/2 and 2P _3/2 were obtained by using the ?? and the \(\bar \theta \) modified Dirac Hamiltonian of hydrogen-like atom on a noncommutative phase space. The degeneracy of the energy levels 2P _1/2 and 2P _3/2 were removed completely by ??-correction. And the \(\bar \theta \)-correction shifts these energy levels.     

Correlation of Two Coupled Particles in Viscoelastic Medium

Considering the viscoelastic memory effect, we study the correlated motion of two hydrodynamically coupled colloidal particles, each of which confined in a harmonic potential well, in a Kelvin-type and Maxwell-type viscoelastic medium. We find that viscoelastic relaxation plays a significant role in modifying the correlation, particularly the cross correlation. We also find that both the real and imaginary parts of the response function are significantly different from the viscous medium case. In particular there is a phase shift between the vanishing imaginary part and the maximal real part of the response function in a viscoelastic medium. In addition imaginary part of the cross correlation response function exhibits a net energy loss (gain) behavior when the elasticity parameter of the medium is larger (smaller) than the critical value for Kelvin (Maxwell) viscoelastic fluid. Some implication of our results and their connection with previous works are discussed.     

c=3, N=2 超共形场论的Z2 Orbifold-Prime模型

讨论了二维环面上中心荷c=3, N=2 的超共形场论. 特别给出该理论的配分函数. 进一步,为了产生新的模型,回顾了一般的orbifold方法. 然后构造了模不变的Z2 Orbifold-Prime模型.     

Examining histone modification crosstalk using immobilized libraries established from ligation-ready nucleosomes

Chromatin signaling relies on a plethora of posttranslational modifications (PTM) of the histone proteins which package the long DNA molecules of our cells in reoccurring units of nucleosomes. Determining the biological function and molecular working mechanisms of different patterns of histone PTMs requires access to various chromatin substrates of defined modification status. Traditionally, these are achieved by individual reconstitution of single nucleosomes or arrays of nucleosomes in conjunction with modified histones produced by means of chemical biology. Here, we report an alternative strategy for establishing a library of differentially modified nucleosomes that bypasses the need for many individual syntheses, purification and assembly reactions by installing modified histone tails on ligation-ready, immobilized nucleosomes reconstituted in a single batch. Using the ligation-ready nucleosome strategy with sortase-mediated ligation for histone H3 and intein splicing for histone H2A, we generated libraries of up to 280 individually modified nucleosomes in 96-well plate format. Screening these libraries for the effects of patterns of PTMs onto the recruitment of a well-known chromatin factor, HP1 revealed a previously unknown long-range cross-talk between two modifications. H3S28 phosphorylation enhances recruitment of the HP1 protein to the H3K9 methylated H3-tail only in nucleosomal context. Detailed structural analysis by NMR measurements implies negative charges at position 28 to increase nucleosomal H3-tail dynamics and flexibility. Our work shows that ligation-ready nucleosomes enable unprecedented access to the ample space and complexity of histone modification patterns for the discovery and dissection of chromatin regulatory principles.

280 different patterns of histone modifications were installed in preassembled nucleosomes using PTS and SML enabling screening of readout crosstalk.     

Landau-like Atomic Problem on a Non-commutative Phase Space

We study the motion of a neutral particle in symmetric gauge and in the framework of non-commutative Quantum Mechanics. Starting from the corresponding Hamiltonian we derive the eigenfunction and eigenvalues.