Hadronic Molecular States Composed of Spin-323\over 2 Singly Charmed Baryons

We investigate the possible deuteron-like molecules composed of a pair of charmed spin-$\frac{3}{2}$ baryons, or one charmed baryon and one charmed antibaryon within the one-boson-exchange (OBE) model. For the spin singlet and triplet systems, we consider the couple channel effect between systems with different orbital angular momentum. Most of the systems have binding solutions. The couple channel effect plays a significant role in the formation of some loosely bound states. The possible molecular states of $\Omega_c^*\Omega_c^*$ and $\Omega_c^*\bar{\Omega}_c^*$ might be stable once produced.Comment: 18 pages, 7 figure

Sublinear expectation linear regression

Nonlinear expectation, including sublinear expectation as its special case, is a new and original framework of probability theory and has potential applications in some scientific fields, especially in finance risk measure and management. Under the nonlinear expectation framework, however, the related statistical models and statistical inferences have not yet been well established. The goal of this paper is to construct the sublinear expectation regression and investigate its statistical inference. First, a sublinear expectation linear regression is defined and its identifiability is given. Then, based on the representation theorem of sublinear expectation and the newly defined model, several parameter estimations and model predictions are suggested, the asymptotic normality of estimations and the mini-max property of predictions are obtained. Furthermore, new methods are developed to realize variable selection for high-dimensional model. Finally, simulation studies and a real-life example are carried out to illustrate the new models and methodologies. All notions and methodologies developed are essentially different from classical ones and can be thought of as a foundation for general nonlinear expectation statistics

Electromagnetic decays of vector mesons as derived from QCD sum rules

We apply the method of QCD sum rules in the presence of external electromagnetic fields $F_{\mu\nu}$ to the problem of the electromagnetic decays of various vector mesons, such as $\rho\to\pi\gamma$, $K^\ast\to K\gamma$ and $\eta'\to\rho\gamma$. The induced condensates obtained previously from the study of baryon magnetic moments are adopted, thereby ensuring the parameter-free nature of the present calculation. Further consistency is reinforced by invoking various QCD sum rules for the meson masses. The numerical results on the various radiative decays agree very well with the experimental data.Comment: To appear in Phys. Lett.

Poly[tris­[μ2-2-(pyrazol-1-yl)pyrazine]hexa-μ1,3-thio­cyanato-tricadmium(II)]

The asymmetric unit of the title crystal structure, [Cd3(NCS)6(C7H6N4)2]n, contains two independent CdII ions, one of which is located on a crystallographic inversion center. Each independent CdII ion is in a slightly distorted octa­hedral coordination environment, but the disortion from ideally octa­hedral is greater in the environment of the CdII ion on a general position. Both thio­cyanate ligands act as bridges connecting independent CdII ions, and the 2-(pyrazol-1-yl)pyrazine ligands chelate one CdII ion in a bidentate mode while the remaining N atom of the pyrazine ring coordinates to a symmetry-related CdII ion, forming a two-dimensional structure parallel to (211)