Hello,
The Joomla search system (and not the Joomla smart search system) is not indexing anything ; the search is processed in the database while the user is asking the content.
Afterwards, it might be possible that you have some cache or else that you need to purge.
But the HikaShop search plugin which integrate with Joomla is just performing SQL queries regarding the parameter given to the function.
For the HikaShop plugin point of view ; it's entirely dynamic.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.