There are several factors influencing the max current in your design, e.g.:
current limit (for L5973D: min 2.5A)
power dissipation (max 2.25W according to the datasheet)
thermal resistance (for L5973D: 40K/W)
ambient temperature
possibly additional cooling
You should be able to get an output current of 2A, but maybe it is a good idea to simulate your design using our eDesignSuite.
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Good luck!
/Peter
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