On asymptotically AdS-like solutions of three dimensional massive gravity

In this paper we have added Maxwell, Maxwell-Chern-Simons and gravitational Chern-Simons terms to Born-Infeld extended new massive gravity and we have found different types of (non)extremal charged black holes. For each black hole we find mass, angular momentum, entropy and temperature. Since our solutions are asymptotically AdS or warped-AdS, we infer central charges of dual CFTs by using Cardy's formula. Computing conserved charges associated to asymptotic symmetry transformations confirms calculation of central charges. For CFTs dual to asymptotically AdS solutions we find left central charges from Cardy's formula, while conserved charge approach gives both left and right central charges. For CFTs dual to asymptotically warped-AdS solutions, left and right central charges are equal when we have Maxwell-Chern-Simons term but they have different values when gravitational Chern-Simons term is included.Comment: 30 pages, 11 tables. Improved version (two new sections added for asymptotic conserved charges). Accepted in JHE

Influence of saturation property of cold nuclear matter on the parameterization process of fusion barriers

The influence of saturation property of cold nuclear matter on the parameterization process of fusion barriers are systematically studied using the double-folding procedure supplemented with the effect of Pauli repulsive interaction between two colliding nuclei. We obtain simple analytical expressions for calculating the fusion barrier position $$R_B$$, height $$V_B$$ and curvature $$\hbar \omega _B$$ with and without the repulsion effects to evaluate the heavy-ion fusion cross sections. We have studied 90 heavy-ion fusion reactions with $$64 \le Z_1Z_2 \le 1520$$ for charge product of the projectile and the target nuclei. The obtained results reveal that our parameterized formulae can reproduce the exact and experimental values of the fusion barrier characteristics with acceptable accuracy for the selected mass range. We calculate the theoretical values of the fusion cross sections using the parameterized values of $$R_B$$, $$V_B$$ and $$\hbar \omega _B$$. The comparison between the calculated and measured values of the fusion cross section at energies near and above the Coulomb barrier validates the quality of the presently obtained formulae. A discussion is also presented about the validity of the previous pocket formulae for fusion barriers in our selected mass range