Edit: Changed answer after clarification by OP about simultaneous presses
If multiple detectors, up to 6, need to be sensed for possible simultaneous interruptions, the solution described in this posting on the Arduino forums is usable. Substitute the "buttons" referred to in the post, with your high-when-interrupted lines from the 6 sensors. Each detector line will connect to the resistor specified in that post, and the ADC values received will indicate what combination of detectors is interrupted:
BUTTONS VALUES RESISTORS
btn 1 837-838 220
btn 2 737-738 390
btn 3 610-611 680
btn 4 318-319 2.2k
btn 5 178-179 4.7k
btn 6 91-92 10k
btn 1 + btn 2 896-897
btn 1 + btn 3 877-878
btn 1 + btn 4 851-852
btn 1 + btn 5 844-845
btn 1 + btn 6 840-841
btn 2 + btn 3 821-822
btn 2 + btn 4 769-770
btn 2 + btn 5 753-754
btn 2 + btn 6 745-746
btn 3 + btn 4 674-675
btn 3 + btn 5 643-644
btn 3 + btn 6 627
btn 4 + btn 5 408-409
btn 4 + btn 6 363-364
btn 5 + btn 6 243
If your MCU of choice has a comparator with edge triggering on analog inputs, generating an interrupt each time the voltage rises over 0.5 Volt or so will work.
If you need more that 2 simultaneous interruptions detected, an alternative would be to use a key scanning IC that provides serial output, like MAX6955 or TCA8418, then read said IC's output using an I2C read on a single input line.