Analyses of third order Bose-Einstein correlation by means of Coulomb wave function

In order to include a correction by the Coulomb interaction in Bose-Einstein correlations (BEC), the wave function for the Coulomb scattering were introduced in the quantum optical approach to BEC in the previous work. If we formulate the amplitude written by Coulomb wave functions according to the diagram for BEC in the plane wave formulation, the formula for $3\pi^-$BEC becomes simpler than that of our previous work. We re-analyze the raw data of $3\pi^-$BEC by NA44 and STAR Collaborations by this formula. Results are compared with the previous ones.Comment: 6pages, 5 figures, talk at Workshop on Particle Correlations and Femtoscopy, Kromeriz, Czech Republic, August 15-17, 200

Analyses of whole transverse momentum distributions in ppˉp\bar p and pppp collisions by using a modified version of Hagedorn's formula

To describe the transverse distribution of charged hadrons at 1.96 TeV observed by the CDF collaboration, we propose a formula with two component, namely, hadron gas distributions and inverse power laws. The data collected at 0.9, 2.76, 7, and 13 TeV by the ALICE, CMS, and ATLAS collaborations are also analyzed using various models including single component models as well as two component models. The results by using modified version of Hagedorn's formula are compared with those by using the two component model proposed by Bylinkin, Rostovtsev and Ryskin (BRR). Moreover, we show that there is an interesting interrelation among our the modified version of Hagedorn's formula, a formula proposed by ATLAS collaboration, and the BRR formula

Asymmetric Leakage from Multiplier and Collision-Based Single-Shot Side-Channel Attack

The single-shot collision attack on RSA proposed by Hanley et al. is studied focusing on the difference between two operands of multiplier. It is shown that how leakage from integer multiplier and long-integer multiplication algorithm can be asymmetric between two operands. The asymmetric leakage is verified with experiments on FPGA and micro-controller platforms. Moreover, we show an experimental result in which success and failure of the attack is determined by the order of operands. Therefore, designing operand order can be a cost-effective countermeasure. Meanwhile we also show a case in which a particular countermeasure becomes ineffective when the asymmetric leakage is considered. In addition to the above main contribution, an extension of the attack by Hanley et al. using the signal-processing technique of Big Mac Attack is presented

An analytic relation between the fractional parameter in the Mittag-Leffler function and the chemical potential in the Bose-Einstein distribution through the analysis of the NASA COBE monopole data

To extend the Bose-Einstein (BE) distribution to fractional order, we turn our attention to the differential equation, $df/dx =-f-f^2$. It is satisfied with the stationary solution, $f(x)=1/(e^{x+\mu}-1)$, of the Kompaneets equation, where $\mu$ is the constant chemical potential. Setting $R=1/f$, we obtain a linear differential equation for $R$. Then, the Caputo fractional derivative of order $p$ ($p>0$) is introduced in place of the derivative of $x$, and fractional BE distribution is obtained, where function ${\rm e}^x$ is replaced by the Mittag-Leffler (ML) function $E_p(x^p)$. Using the integral representation of the ML function, we obtain a new formula. Based on the analysis of the NASA COBE monopole data, an identity $p\simeq e^{-\mu}$ is found.Comment: To be published in the proceeding of 6th Internal conference on mathematical modeling in physical science

Coupling of capillary RBC flow failure with neuronal depolarization

RBC (oxygen-carrier) behaviour in the cerebrocortical microvasculature during K^+^-induced cortical spreading depression (CSD) was examined in urethane-anesthetized male Wistar rats (n=10). The movements of FITC-labeled RBCs in single capillaries in the cortical region were traced with a high-speed camera laser scanning confocal fluorescence microscope and analyzed with Matlab domain software, KEIO-IS2, to obtain the velocities of all labeled RBCs appearing in local capillaries during CSD wave propagation. We found that CSD induced periodic decreases in both RBC number and velocity until RBCs halted or disappeared for 3.3 +/- 2.3 s, and then RBC flow was restored. The RBC flow stall was statistically significant (P < 0.05). During capillary flow failure in association with CSD spread, systemic arterial blood pressure remained unchanged. We conclude that RBCs are transiently sieved and stalled in capillaries during neuronal depolarization, and we suggest that this neuro-capillary coupling involves a hemorheological (viscosity-related) mechanism

Description of \eta-distributions at RHIC energies in terms of a stochastic model

To explain \eta-distributions at RHIC energies we consider the Ornstein-Uhlenbeck process. To account for hadrons produced in the central region, we assume existence of third source located there (y \approx 0) in addition to two sources located at the beam and target rapidities (\pm y_{max} = \pm \ln[\sqrt{s_{NN}}/m_{N}]). This results in better \chi^2/n.d.f. than those for only two sources when analysing data.Comment: 4 pages, 4 figures, PTPTE