How do I add jQuery to specific node form?
Install the JS injector module. Then go to admin/config/development/js-injector. Add a new rule. Fill the JS code field with your script.
In the Pages fieldset select the Pages on which this PHP code returns TRUE (experts only) option and enter the following code:
&lt;?php
if (arg(0) == 'node' &amp;&amp; arg(1) == 'add' &amp;&amp; arg(2) == 'content_type') {
 return true;
}
return false;
?&gt;

Replace content_type with your content type name.
This is a theme independent solution. Another way is adding your script in hook_preprocess_page in template.php file of your theme.