We present the first calculation in lattice QCD of process $\gamma K \to K\pi$ which narrow $K^*$ vector resonance appears. Using a on pion has mass 284 MeV, we determine transition amplitude at 128 points $(Q^2, E_{K\pi})$ plane, and find suitable resonant scattering descriptions. demonstrate need to account for $S$--wave $K\pi$ elastic when converting finite-volume matrix elements computed ph...

1. The algorithm. Huang [1] gives an algorithm for computing the powers of a triangular matrix where the diagonal elements are unique. However, in contrast to Huang’s algorithm, the method presented here has the unique advantage of producing the result in closed form, which shows explicitly how the behavior of any element of the matrix varies with varying powers of the matrix. Also, the closed ...

The aim of this paper is to establish an explicit representation the generalized Drazin inverse $(a+b)^d$ under condition $$ab^2=0, ba^2=0, a^{\pi}b^{\pi}(ba)^2=0.$$ Furthermore, we apply our results give some for a $2\times 2$ block operator matrix. These extend on Bu, Feng and Bai [Appl. Math. Comput. 218, 10226-10237, 2012] Dopazo Martinez-Serano [Linear Algebra Appl. 432, 1896-1904, 2010].

We study the transition widths of $\Upsilon(10753)$ and $\Upsilon(11020)$ into standard bottomonium under hypothesis that they correspond to two lowest laying $1^{--}$ hybrid states. employ weakly coupled potential NRQCD an effective filed theory incorporating heavy quark multipole expansions. consider transitions generated by leading order next-to-leading singlet-octet operators. In expansion ...

Let T be a tree on n vertices and let the n− 1 edges e1, e2, . . . , en−1 have weights that are s× s matrices W1,W2, . . . ,Wn−1, respectively. For two vertices i, j, let the unique ordered path between i and j be pi,j = er1er2 . . . erk . Define the distance between i and j as the s × s matrix Ei,j = ∏k p=1Wep . Consider the ns × ns matrix D whose i, j-th block is the matrix Ei,j . We give a f...

Elevated plasma levels of inorganic phosphate (Pi) are harmful, causing, among other complications, vascular calcification and defective insulin secretion. The underlying molecular mechanisms of these complications remain poorly understood. We demonstrated the role of Pi transport across the plasmalemma on Pi toxicity in INS-1E rat clonal β cells and rat pancreatic islet cells. Type III sodium-...

The forward and reverse rates of the overall reaction catalyzed by the ATP synthase in intact rat heart mitochondria, as measured with 32P, were compared with the rates of two partial steps, as measured with 18O. Such rates have been measured previously, but their relationship to one another has not been determined, nor have the partial reactions been measured in intact mitochondria. The partia...

We evaluate by means of lattice QCD calculations the low-energy constant $\ell_{7}$ which parametrizes strong isospin effects at NLO in $\rm{SU}(2)$ chiral perturbation theory. Among all constants NLO, is one known less precisely, and its uncertainty currently larger than $50\%$. Our strategy based on RM123 approach path-integral expanded powers breaking parameter $\Delta m= (m_{d}-m_{u})/2$. I...

Laser induced fluorescence spectrum of NiBr in the visible region between 604 and 666 nm has been recorded and analyzed. Fourteen bands belonging to three electronic transition systems, namely, [15.1] (2)Delta(52)-X (2)Pi(32), [15.1] (2)Pi(32)-X (2)Pi(32), and [14.0] (2)Delta(52)-X (2)Pi(32) have been observed. Spectra of isotopic molecules were also observed and analyzed. Detailed analysis of ...