Below, I quote what my physics textbook says.
$$F=kma$$ The units of force are so chosen that this constant of proportionality, $k=1$.Therefore $F=ma$. For this, one unit of force is defined as the amount that produces an acceleration of $1m/s^2$ in an object of mass, $1kg$.
Would it be right to define $1$ Newton as the amount of force it would take to produce an acceleration of $0.5m/s^2$ in an object of mass $2kg$?