Non-Abrikosov Vortex and Topological Knot in Two-gap Superconductor

We establish the existence of topologically stable knot in two-gap superconductor whose topology $\pi_3(S^2)$ is fixed by the Chern-Simon index of the electromagnetic potential. We present a helical magnetic vortex solution in Ginzburg-Landau theory of two-gap superconductor which has a non-vanishing condensate at the core, and identify the knot as a twisted magnetic vortex ring made of the helical vortex. We discuss how the knot can be constructed in the recent two-gap $\rm MgB_2$ superconductor.Comment: 4 pages, 3 figure

Impact of environmentally friendly packaging on consumers’ attitudes and patronage intentions toward apparel retail brands

Consumer interest in social responsibility (SR) has greatly increased in recent years. Providing environmentally friendly packaging (recycled and reusable bags) is one example of how apparel retail brands can engage in SR. The objective of this research was to explore the impact of using environmentally friendly packaging on consumers’ attitudes and patronage intentions toward apparel retail brands. To conduct this research, undergraduate and graduate students from a major mid-Southern university completed an online survey testing consumers’ perceptions, environmental consciousness, attitudes, and patronage intentions. Results from this study revealed that young consumers’ perceptions of environmentally friendly packaging has a positive impact on their environmental consciousness and their attitudes toward apparel retail brands engaged in SR. This study also found that consumers’ environmental consciousness has a positive impact on their attitudes toward apparel retail brands engaged in SR, which lead to patronage intentions toward the brand. These findings imply that providing environmentally friendly packaging is important in enhancing positive attitudes and patronage intentions toward apparel retail brands. Retailers are advised to consider changing their current packaging to environmentally friendly packaging

Bargmann-Wigner Formulation and Superradiance Problem of Bosons and Fermions in Kerr Space-time

The superradiance phenomena of massive bosons and fermions in the Kerr spacetime are studied in the Bargmann-Wigner formulation. In case of bi-spinor, the four independent components spinors correspond to the four bosonic freedom: one scalar and three vectors uniquely. The consistent description of the Bargmann-Wigner equations between fermions and bosons shows that the superradiance of the type with positive energy $(0<\omega)$ and negative momentum near horizon $(p_{\rm H}<0)$ is shown not to occur. On the other hand, the superradiance of the type with negative energy $(\omega<0)$ and positive momentum near horizon $(0<p_{\rm H})$ is still possible for both scalar bosons and spinor fermions