Analytic approximations to the p-11B fusion rate coefficient suitable for use at both low (1 keV ⩽ T ⩽ 70 keV) and high (50 keV ⩽ T ⩽ 500 keV) temperatures are developed. Comparisons between these analytic approximations and calculations of the p-11B fusion rate coefficient based on numerical integration indicate that the overall error in these approximations is dominated by errors in the experimental measurement of the underlying p-11B fusion cross-sections.

We examine the structural properties and half-life decay of Ra isotopes within the axially deformed Relativistic Mean-Field (RMF) theory with NL3 force parameters. We work out the binding energy (BE), RMS radii, two-neutron separation energies (S2n), and some other observables. The results are in good agreement with the finite-range droplet model (FRDM) and experimental results. Considering the possibility of neutron magic number, the α-decay and cluster decay half-lives of Ra isotopes are calculated systematically using the Q-values obtained from the RMF formalism. These decay half-life calculations are carried out by taking three different empirical formulae. The calculated decay half-lives are found to be highly sensitive to the choice of Q-values. Possible shell or sub-shell closures are found at daughter nuclei with N = 128 and N = 126 when alpha and 8 Be, 12 C, 18 O respectively are emitted from Ra isotopes. Though the cluster radioactivity is affected by the shell closure of parent and daughter, a long half-life indicates the stability of the parent, and a small parent half-life indicates that the shell stability of the daughter against decay.

In nucleus–nucleus collisions, the partial-wave scattering matrix, for the total effective complex potential is calculated, which explains the data of angular distribution of elastic scattering cross-sections. Furthermore the absorption cross-section is obtained from the arbitrarily small intervals which helps to derive the fusion cross-section ([Formula: see text]) data at different center-of-mass energies ([Formula: see text]) by collecting the absorption contributions in the interior region of the effective potential. Here, the potential is taken as energy independent and its weakly absorbing nature supports the resonance states in various partial-wave trajectories. Therefore, the resonances show oscillatory behavior changes with respect to energy [Formula: see text], which is the second derivative of the product [Formula: see text] with respect to [Formula: see text]. In this paper, we have successfully discussed the elastic scattering and fusion cross-sections simultaneously with the results of [Formula: see text].

Mobile Ad-hoc network (MANET) connects all different nodes together without knowledge of network connection. A MANET is a collection of wireless neighbor hosts for the radio network with multi hop without any hub connection. Mobile Ad-Hoc Networks is decentralized wireless systems. A Mobile Ad-hoc Network (MANET) is a selfconfiguring network of wireless and hence mobile devices that create a network which change topology dynamically .These may be used in future theft operations, medical applications in networks. MANETs contain unreliable wireless connection for linking in between hosts where as it changes topologies with battery, bandwidth, lifetime, and computation of host nodes. It has security aspects that contain the presence or absence of wireless network nodes.

We report here a tight-binding calculation to investigate the effect of doping on the ferromagnetism in graphene supported by different substrates. The Hamiltonian consists of electron hoppings in the graphene upto third-nearest-neighbors. The substrate introduces in-equivalence in the two sub-lattices of carbon in the honey-comb lattice. The strong Coulomb correlation between electrons at the sub-lattices produces ferromagnetic order in the system. The doping introduces further in-equivalence in the sub-lattices and is expected to stabilize the ferromagnetic order. The Green’s functions are calculated by using Zubarev’s Green’s function technique. Finally the ferromagnetic magnetizations and hence the ferromagnetic gap are calculated from the electron correlations obtained from the corresponding electron Green’s functions. The ferromagnetic gap equation is computed numerically and self-consistently by using 100 × 100 grid points of the electron momentum. The effect of doping on the temperature dependent ferromagnetic gap is investigated by varying different doping concentrations, impurity potential and Coulomb energy.