Galanina, L. I.
Zelenskaya, N. S.
Lebedev, V. M.
Orlova, N. V.
Spassky, A. V.

The angular dependences of the differential cross sections of the C-13(d, p)C-14 reaction at the deuteron energy of 15.3MeV are presented according tomeasurements for the cases where the final nucleus is produced in the ground state (0(+)) and in the 1(-) excited state at 6.094 MeV. The angular distribution of protons corresponding to the sum 0(+) (6.589 MeV) + 3(-) (6.728 MeV) + 0(-) (6.903 MeV) of states of the C-14 nucleus that were not separated experimentally is also obtained. These experimental results are compared with their counterparts calculated by means of the FRESCO code for the mechanisms of neutron stripping and sequential neutron and dineutron transfer. The neutron and dineutron spectroscopic amplitudes are calculated for pure and mixed shell configurations. The best set of optical-potential parameters is determined for the entrance and exit reaction channels. It is shown that the neutron-stripping mechanismpermits describing themeasured angular distributions for all states of the C-14 nucleus that were investigated here.

We prove that certain means of the (C,alpha,aEuro broken vertical bar,alpha)-means (alpha=1/p-1) of the d-dimensional trigonometric Fourier series are uniformly bounded operators from the Hardy space H (p) to H (p) (1a parts per thousand broken vertical bar pa parts per thousand broken vertical bar 2). As a consequence we obtain strong summability theorems concerning (C,alpha,aEuro broken vertical bar,alpha)-means.

In this paper we derive explicit formula for the average run length (ARL) of Cumulative Sum (CUSUM) control chart of autoregressive integrated moving average ARIMA(p,d,q) process observations with exponential white noise. The explicit formula are derived and the numerical integrations algorithm is developed for comparing the accuracy. We derived the explicit formula for ARL by using the Integral equations (IE) which is based on Fredholm integral equation. Then we proof the existence and uniqueness of the solution by using the Banach's fixed point theorem. For comparing the accuracy of the explicit formulas, the numerical integration (NI) is given by using the Gauss-Legendre quadrature rule. Finally, we compare numerical results obtained from the explicit formula for the ARL of ARIMA(1,1,1) processes with results obtained from NI. The results show that the ARL from explicit formula is close to the numerical integration with an absolute percentage difference less than 0.3% with m =3D 800 nodes. In addition, the computational time of the explicit formula are efficiently smaller compared with NI.

Many studies have shown that the nuclear reactions of charged particles with nuclei are very important in many fields of nuclear physics. The interactions of deuterons with nuclei have been especially the subject of common research in the history of nuclear physics. Moreover, the knowledge of cross section for deuteron-nucleus interactions are required for various application such as space applications, accelerator driven sub-critical systems, nuclear medicine, nuclear fission reactors and controlled thermonuclear fusion reactors. Particularly, the future of controlled thermonuclear fusion reactors is largely dependent on the nuclear reaction cross section data and the selection of structural fusion materials. Finally, the reaction cross section data of deuteron induced reactions on fusion structural materials are of great importance for development and design of both experimental and commercial fusion devices. In this work, reaction model calculations of the cross sections of deuteron induced reactions on structural fusion materials such as Al (Aluminium), Ti (Titanium), Cu (Copper), Ni (Nickel), Co (Cobalt), Fe (Iron), Zr (Zirconium), Hf (Hafnium) and Ta (Tantalum) have been investigated. The new calculations on the excitation functions of (27) Al(d,2p) (27) Mg, (47) Ti(d,2p) (47) Sc, (65) Cu(d,2p) (65) Ni, (58) Ni(d,2p) (58) Co, (59) Co(d,2p) (59) Fe, (58) Fe(d,p) (59) Fe, (96) Zr(d,p) (97) Zr, (180) Hf (d,p) (181) Hf and (181) Ta(d,p) (182) Ta have been carried out for incident deuteron energies up to 50 MeV. In these calculations, the equilibrium and pre-equilibrium effects for (d,p) and (d,2p) reactions have been investigated. The equilibrium effects are calculated according to the Weisskopf-Ewing (WE) Model. The pre-equilibrium calculations involve the new evaluated the Geometry Dependent Hybrid Model (GDH) and Hybrid Model. In the calculations the program code ALICE/ASH was used. The calculated results are discussed and compared with the experimental data taken from the literature.

Recently, we applied an ab initio method, the no-core shell model combined with the resonating group method, to the transfer reactions with light p-shell nuclei as targets and deuteron as the projectile. In particular, we studied the elastic scattering of deuterium on Li-7 and the Li-7(d,p)Li-8 transfer reaction starting from a realistic two-nucleon interaction. In this contribution, we review of our main results on the Li-7(d,p)Li-8 transfer reaction, and we extend the study of the relevant reaction channels, by showing the dominant resonant phase shifts of the scattering matrix. We assess also the impact of the polarization effects of the deuteron below the breakup on the positive-parity resonant states in the reaction. For this purpose, we perform an analysis of the convergence trend of the phase and eigenphase shifts, with respect to the number of deuteron pseudostates included in the model space.

The empirical and semi-empirical systematics of the (d,p) nuclear reaction cross sections were obtained at the incident deuteron energies of 8.5 MeV. The experimental values for (d,p) reaction cross sections were collected from the literature and analyzed for the some target nuclei 27

This paper considers the nonblocking conditions for a multirate log(d)(N, 0, p) switching network at the connection level. The necessary and sufficient conditions for the discrete bandwidth model, as well as sufficient and, in particular cases, also necessary conditions for the continuous bandwidth model, were given. The results given for d([(n-1)/2]) f(0) >=3D f(1) + 1 in the discrete bandwidth model are the same as those proposed by Hwang et al. (2005); however, in this paper, these results were extended to other values of f(0), f(1), and d. In the continuous bandwidth model for B + b > 1, the results given in this paper are also the same as those by Hwang et al. (2005); however, for B + b < 1, it was proved that a smaller number of vertically stacked log(d)N switching networks are needed.

While ample information was gathered in identifying guidance cues and their downstream mediators, very little is known about how the information from multiple extracellular cues is intracellularly to generate normal patterning. Netrin and Wnt signaling pathways play key roles in normal development as well as in malignancies. In C. elegans, as in vertebrates, dorso-ventral (D/V) graded distributions of UNC-6/Netrin and antero-posterior (A/P) graded distributions of Wnts provide instructive polarity information to guide cells and axons along their respective gradients. In this commentary, I will discuss recent findings demonstrating that these 2 signaling pathways also function redundantly to regulate polarity orthogonal to the axis of their gradation. Thus, Wnt signaling components contribute to D/V polarity, while Netrin signaling components contribute to A/P polarity and their joint action collaboratively governs migratory transitions from one axis to the other. These findings pave the way to unraveling broader roles of Wnt and Netrin signaling pathways, roles that are masked due to their redundant nature, and provide a conceptually novel view of how antero-posterior and dorso-ventral guidance mechanisms are orchestrated to establish polarity in multiple biological processes. =20

Isomeric ratios (IR) in the (p, n) and (d, 2n) reactions are considered. The dependence of IR values on the projectile type and energy, the target- and product-nucleus spin, the spin difference between the isomeric and ground states of products, and the product mass number is discussed. The isomeric ratios for 46 product nuclei (from Sc-44m,Sc-g to Xe-127m,Xe-g) obtained in reactions where target and product nuclei have identical mass numbers were calculated at energies from the reaction threshold to 50 MeV (with a step of Delta E =3D 1 MeV). The calculations in question were performed with the aid of the TALYS 1.4 code package. The calculated IR values were compared with their experimental counterparts available from the literature (EXFOR database). In the majority of cases, the calculated IR values agree well with the experimental data in question. It is noteworthy that the IR values obtained in (d, 2n) reactions are substantially greater than those in (p, n) reactions.

We investigate whether the newly observed narrow resonance Z (c) (4025) can be described as a molecular state with quantum numbers J (P) =3D1(+). Using QCD sum rules, we consider contributions up to dimension six in the operator product expansion and work at leading order of alpha (s) . The mass obtained for this state is (4.05 +/- 0.28) GeV. It is concluded that the molecular state is a possible candidate for Z (c) (4025).