In Act IV, Scene 3, what reasons does Claudius give for not taking legal action against Hamlet? What are other reasons?

In Hamlet Act IV, scene iii, the main
reason that Claudius cannot take political action against Hamlet is that the people of
Denmark love him.  Hamlet is the first son of Denmark, a popular prince whom many feel
deserved the crown after his father died. 

Claudius knows
that imprisoning him would be political suicide on his
part:

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Yet must not we put the
strong law on him:
He's loved
of the distracted multitude,
Who like not in
their judgment, but their eyes;
And where tis so, the
offender's scourge is weigh'd,
But never the offence. To
bear all smooth and even,
This sudden sending him away must
seem
Deliberate pause: diseases desperate
grown
By desperate appliance are
relieved,
Or not at
all.

Literally
translated, this means:

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Yet we must not put the strong law
on him.
He's very popular with this country’s
masses,
Who like not in their minds, but with their
eyes,
And where it is so, the offender's punishment is
important,
but never the offense. To deal with everything
smoothly and evenly, this
sudden sending him away
must seem like a planned event. Diseases
grown
desperate are best healed by desperate measures,
Or not at
all.

Claudius says that the
people value appearance over reality.  What a hypocrite!  He's saying the people only
like Hamlet because he's young, blond, and hot. 

Who knew
Hamlet was like an older version of Prince William?