abstract

In this study, the \(^{6}\)Li(\(^{3}\)He,\(d)^{7}\)Be transfer reaction at 33.3 and 34 MeV is analyzed in the framework of the optical model by using the FRESCO code based on the distorted wave Born approximation (DWBA) method for temperature-dependent and temperature-independent density distributions, different nuclear potentials, and different nucleon–nucleon interactions. The nuclear potential is assumed to have real and imaginary parts in the entrance and exit channels together with the Coulomb potential. The similarities and differences of all the different approaches are discussed, and alternative density, alternative nuclear potential, and alternative nucleon–nucleon interactions are suggested.

abstract

We present an efficient method for finding the independent invariant tensors of a gauge theory. Our method uses a theorem relating invariant tensors and D-flat directions in field space. We apply our method to several examples — SO(3) with symmetric tensors, SU(2) with a dimension-4 representation, and SU(3) with matter in the sextet — and find the set of independent invariant tensors in these theories.

abstract

We present a traversable-wormhole solution of the gravitational field equation of General Relativity without need of exotic matter (exotic matter can, for example, have negative energy density and vanishing isotropic pressure). Instead of exotic matter, the solution relies on a 3-dimensional “spacetime defect” characterized by a locally vanishing metric determinant.

abstract

There are a number of studies in the literature on the search for Charge-Parity (CP) violating signals in top-quark productions at the LHC. In most of these studies, ChromoMagnetic Dipole Moments (CMDM) and ChromoElectric Dipole Moments (CEDM) of top quarks are bounded either by deviations from the Standard Model (SM) cross sections or by T-odd asymmetries in di-muon channels. However, the required precision on these cross section values is far beyond from that ATLAS or CMS experiments can reach. In this letter, the investigation of CEDM-based asymmetries in the semileptonic top-pair decays is presented as T-odd asymmetries in the CMS experiment. Expected asymmetry values are determined at the detector level using MadGraph5, Pythia 8, and Delphes softwares along with the discrimination of the signal and the background with Deep Neural Networks (DNN).