Searching for Ξcc+\Xi_{cc}^+ in Relativistic Heavy Ion Collisions

We study the doubly charmed baryon $\Xi_{cc}^+$ in high energy nuclear collisions. We solve the three-body Schroedinger equation with relativistic correction and calculate the $\Xi_{cc}^+$ yield and transverse momentum distribution via coalescence mechanism. For $\Xi_{cc}^+$ production in central Pb+Pb collisions at LHC energy, the yield is extremely enhanced, and the production cross section per binary collision is one order of magnitude larger than that in p+p collisions. This indicates that, it is most probable to discover $\Xi_{cc}^+$ in heavy ion collisions and its discovery can be considered as a probe of the quark-luon plasma formation.Comment: 5 pages and 4 figure

Automorphisms of 3-folds of general type acting trivially on cohomology

Let $X$ be a minimal projecitve complex $3$-fold of general type with canonical Gorenstein singularities and $\mathrm{Aut}_0(X)$ be the subgroup of automorphisms acting trivially on $H^*(X,\mathbb{Q})$. We prove that if $X$ has maximal Albanese dimension, $|\mathrm{Aut}_0(X)|\leq 6$. Then we concern the class of complex varieties $X=(C_1\times C_2\times\dots\times C_d)/G$ ($d\geq2$) isogenous to a (higher) product of unmixed type with each $q(C_i/G)\geq 1$. The main result of this paper is that if the irregularity $q(X)\geq d+1$, $\mathrm{Aut}_0(X)$ is trivial. Moreover, in the case $d=3$, let $(C_1\times C_2\times C_3)/G$ itself be the minimal realization of $X$ and $K_i$ be the subgroup of $G$ acting identity on $C_i$, we show that if $G$ is abelian, every $K_i$ is cyclic and $q(X) = 3$, then $\mathrm{Aut}_0(X)\cong \mathbb{Z}_2^k$ with $k=0,1,2$. In the end some examples of complex $3$-folds with $\mathrm{Aut}_0(X)\cong \mathbb{Z}_2$ and $\mathbb{Z}_2^2$ are provided

Floquet engineering of long-range p-wave superconductivity: Beyond the high-frequency limit

It has been shown that long-range {\it p}-wave superconductivity in a Kitaev chain can be engineered via an ac field with a high frequency [Benito et al., Phys. Rev. B 90, 205127 (2014)]. For its experimental realization, however, theoretical understanding of Floquet engineering with a broader range of driving frequencies becomes important. In this work, focusing on the ac-driven tunneling interactions of a Kitaev chain, we investigate effects from the leading correction to the high-frequency limit on the emergent {\it p}-wave superconductivity. Importantly, we find new engineered long-range {\it p}-wave pairing interactions that can significantly alter the ones in the high-frequency limit at long interaction ranges. We also find that the leading correction additionally generates nearest-neighbor {\it p}-wave pairing interactions with a renormalized pairing energy, long-range tunneling interactions, and in particular multiple pairs of Floquet Majorana edge states that are destroyed in the high- frequency limit.Comment: 13 pages, 8 figure

Capillary-based multiplexed isothermal nucleic acid-based test for sexually transmitted diseases in patients

We demonstrate a multiplexed loop mediated isothermal amplification (LAMP) assay for infectious disease diagnostics, where the analytical process flow of target pathogens genomic DNA is performed manually by moving magnetic beads through a series of plugs in a capillary. Heat is provided by a water bath and the results read by the naked eye, enabling applications in low resource settings