Narrow Results

The high energy single folding optical potential approximation is studied to calculate the differential cross-section for proton elastic scattering of ¹²C at 156 MeV and 1440 MeV and ¹²C for state 2⁺ (4.44 MeV) at 1440 MeV. A Gaussian nuclear density distribution was used for the proton and Gaussian and Brink nuclear density distributions for the ¹²C target. We used the following three effects to derive twelve different methods for the central optical potential: (i) Love and Franey and the Gaussian amplitudes, with the Brink and one-term Gaussian nuclear density distributions, (ii) Pauli correlation in the Gaussian amplitude with these densities, (iii) coupling channels on the differential cross-sections in proton elastic scattering of ¹²C at 1440 MeV with single channel calculations using these amplitudes, nuclear density distributions and Pauli correlation in the Gaussian amplitude. A new numerical technique was performed to solve the deformed optical potential equations using computational programs.

The $(\mathrm{\text{p}},\mathrm{\text{2p}})$ reaction on ${}^{40}\mathrm{\text{Ca}}$ at incident proton energy of 300MeV is examined in the formalism of finite-range relativistic distorted-wave impulse approximation (FR-RDWIA). In comparison to conventional t-matrix model of Love–Franey, a new form of nucleon–nucleon t-matrix effective interaction is derived at 300MeV using Reid soft core potentials for isotopic spin one and taking into account the finite-range effects in the $\mathrm{\text{p}}-\mathrm{\text{p}}$ interaction at knockout vertex. In comparison to the conventional finite range nonrelativistic and relativistic formalism, the present formalism with a new version of $\mathrm{\text{p}}-\mathrm{\text{p}}$ t-matrix is effectively reproducing the shape of cross-section energy distributions for ${\mathrm{\text{1d}}}_{3/2}$, ${\mathrm{\text{1d}}}_{5/2}$ and ${\mathrm{\text{2s}}}_{1/2}$ states for asymmetric angle pair of $30^{\circ }$–$55^{\circ }$. Discrepancies between the experimental cross-section data and finite range theoretical calculations at ${\mathrm{\text{E}}}_p=300$MeV are reasonably resolved in the present approach. Without any adjustable parameter of bound state, the obtained spectroscopic factors are in reasonably good agreement with the relativistic and nonrelativistic theoretical predictions by $(\mathrm{\text{p}},\mathrm{\text{2p}})$, $(\mathrm{\text{e}},{\mathrm{\text{e}}}^{\prime }\mathrm{\text{p}})$ and $(\mathrm{\text{d}},{}^3\mathrm{\text{He}})$ analysis.

The analysis of nucleon–nucleon elastic and inelastic scattering data is presented by considering the combined interaction of nuclear and electromagnetic potentials of equal range. The exact analytical off-shell solutions of the nonrelativistic Schrödinger equation for the effective potential with the centrifugal term are investigated using ordinary differential equation approach. Numerical results of scattering phase shifts, differential cross-sections and Transition matrices are in sensible conformity with previous works.

We investigate the effect of entering metallic core-shell nanoparticles in Silica glass to increase its nonlinear susceptibility (NLS). Third-order NLS and figure of merit (FOM) relations of this composite are driven with the T-Matrix method. Effect of nanoparticle volume fraction, shell-to-core radius ratio and core, clad and host material in the real and imaginary part of these parameters are studied. It is concluded that doping Silica with Copper core-Gold clad nanoparticles make the compound FOM-enhanced.