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The static properties and semileptonic decays of ground-state doubly heavy baryons are studied working in the framework of a non-relativistic quark model. Using a phenomenological potential model, we calculate the ground-state masses and magnetic moments of doubly heavy $ \Omega $ and $ \Xi $ baryons. In the heavy quark limit, we introduce a simple form of the universal Isgur-Wise function used as the transition form factor and then investigate the exclusive $ b \rightarrow c $ semileptonic decay widths and branching ratios for $ \frac{1}{2}\rightarrow \frac{1}{2} $ baryon transitions. Our obtained results are in agreement with other theoretical predictions., Comment: Accepted for publication in Chin. Phys. c

Let $\Theta$ be the Wigner time reversal operator for spin half and let $\phi$ be a Weyl spinor. Then, for a left-transforming $\phi$, the construct $\zeta_\lambda \Theta \phi^\ast$ yields a right-transforming spinor. If instead, $\phi$ is a right-transforming spinor, then the construct $\zeta _\rho \Theta \phi^\ast$ results in a left-transforming spinor ($\zeta_{\lambda,\rho}$ are phase factors). This allows us to introduce two sets of four-component spinors. Setting $\zeta_\lambda$ and $\zeta_\rho$ to $\pm i$ render all eight spinors as eigenspinor of the charge conjugation operator~$\mathcal{C}$ (called ELKO). This allows us to introduce two quantum fields. A calculation of the vacuum expectation value of the time-ordered product of the fields and their adjoints reveals the mass dimension of the fields to be one. Both fields are local in the canonical sense of quantum field theory. Interestingly, one of the fields is fermionic and the other bosonic. The mass dimension of the introduced fermionic fields and the matter fields of the Standard Model carry an intrinsic mismatch. As such, they provide natural darkness for the new fields with respect to the Standard Model doublets. The statistics and locality are controlled by a set of phases. These are explicitly given. Then we observe that in $p_\mu p^\mu = m^2$, Dirac took the simplest square root of the $4\times 4$ identity matrix $I$ (in $I \times m^2 $, while introducing $\gamma_\mu p^\mu$ as the square root of the left hand side of the dispersion relation), and as such he implicitly ignored the remaining fifteen. When we examine the remaining roots, we obtain additional bosonic and fermionic dark matter candidates of spin half. We point out that by early nineteen seventies, Dirac had suspected the existence of spin half bosons, in the same space as his fermions. Abstract truncated., Comment: 53 pages

Excited state mass spectra of the low lying single charmed baryons with non strangeness have been calculated in a hypercentral approach. The six-dimensional hyperradial Schr\"{o}dinger equation is solved by applying a simple variational method. We extend our scheme to predict the magnetic moments and the $ \frac{3}{2}^+ \rightarrow \frac{1}{2}^+ $ transition magnetic moments of $ \Sigma_{c} $ and $ \Lambda_{c} $ state baryons. A comparison of our results with the experimental data and predictions obtained in recent models is also presented., Comment: arXiv admin note: text overlap with arXiv:1707.01319