  In this paper the hybrid-NLIE approach of [38] is extended to the ground
state of a D-brane anti-D-brane system in AdS/CFT. The hybrid-NLIE equations
presented in the paper are finite component alternatives of the previously
proposed TBA equations and they admit an appropriate framework for the
numerical investigation of the ground state of the problem. Straightforward
numerical iterative methods fail to converge, thus new numerical methods are
worked out to solve the equations. Our numerical data confirm the previous TBA
data. In view of the numerical results the mysterious L = 1 case is also
commented in the paper.
