What's in BP-511 batteries?
https://www.camerahacker.com/Canon_Accessory/BP511_Disassembly.shtml
https://www.camerahacker.com/Forums/DisplayComments.php?file=Digital Camera/Canon/DR-400_pinout.html
From that quick search, it's not clear what exactly is on the little BMS board.
Top: two new batteries bought 2024. Bottom: original batteries bought 2005-2008.
front + flipped back sides
Chip details. Q1 is most likely a dual n-Channel MOSFET.
Oddly enough, both cells were reasonable close in voltages around 3.68 and 3.70 V upon disassembly, so the loss of capacity is probably due to excessive discharge and degradation.
Now for IC1 - what type of device are we looking for?
Example: Ti BQ29200/BQ29209: https://www.ti.com/lit/ds/symlink/bq29200.pdf
bq2920x Voltage Protection with Automatic Cell Balance for 2-Series Cell Li-Ion Batteries
However the package is
One has to appreaciate the teardrops, but for now, identification is a 0/2.
And the common-Drain FET? A popular IC for single cell solutions is DW01A:
https://hmsemi.com/downfile/DW01A.PDF
A combination of both is implemented in the IC in question.
HY2120 "2-Cell Lithium-ion/Lithium Polymer Battery Packs Protection"
https://www.hycontek.com/wp-content/uploads/DS-HY2120_EN.pdf
https://eu.mouser.com/datasheet/2/294/r5463_ea-3218922.pdf