On the OMAP-L138, code and data (const or not) are always in RAM. Much like a program on a PC is loaded from disk to RAM. Code and initialized data are transferred into RAM by the ROM bootloader or by the IDE via JTAG emulator. The source for the code/data image can be in Flash, SD Card, EEPROM, etc.
If you are thinking of having the linker place const data in flash, that would be quite tricky to do. It is just not the usual way to do things on this processor. Besides, only NOR Flash can be linearly addressed. The other types of memory are serially addressed and cannot be mapped to a specific address. As far as I know, CCS IDE does not know how to load an image into Flash for debugging. A const data block would have to be programmed in by some other means for code to access.