The internal resistance of the battery depending on the temperature

And, again, the internal battery resistance value is measured in an instant of time, not over some period that allows for temperature changes to take place.

and how can i get beta of battery properties

Measure battery resistance at different temperatures and fit to your equation...
Put in fridge, measure.
Lay in room, measure.
Put in pan with 60 degC water, measure...

But the values ​​of the Arrhenius constants α and β are taken from the information
the Simulink® library of the battery block

Simulink is just a table of generally accepted constants.
I answered your double-post with how it was done in 1889... basically, interpretation by using various graphs.

Why do you ask for them in post #23 then???

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