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Using the nonlinear Schroedinger equation (Gross-Pitaevskii equation), thedynamics of a macroscopic wave packet for Bose-Einstein condensates fallingthrough double slits is analyzed. This problem is identified with a search forthe fate of a soliton showing a head-on collision with a hard-walled obstacleof finite size. We explore the splitting of the wave packet and itsreorganization to form an interference pattern. Particular attention is paid tothe role of gravity (g) and repulsive nonlinearity (u_0) in the fringe pattern.The peak-to-peak distance in the fringe pattern and the number of interferencepeaks are found to be proportional to g^(-1/2) and u_0^(1/2)g^(1/4),respectively. We suggest a way of designing an experiment under controlledgravity and nonlinearity.Comment: 10 pages, 4 figures and 1 tabl

Dynamics of Macroscopic Wave Packet Passing through Double Slits: Role of Gravity and Nonlinearity