RSS to jQuery Object with AJAX

Is it possible to pull data from items on an XML file and store them as objects in jQuery which can then be cycled through?

This is the RSS feed XML

I want to store the following data from each item:

• title
• description
• pubdate
• link
• category

And then output as HTML like this (for the time being):

<ul>
<li>title</li>
<li>description</li>
<li>pubdate</li>
<li>link</li>
<li>category</li>
</ul>

I have this code as a start but it does nothing:

<script>
    $.ajax({
    url:'http://www.sagittarius-digital.com/news.rss',
    dataType:'xml',
    success:function( xmlString ){
        var xmlDoc = $.parseXML( xmlString ),
        $xml = $( xmlDoc ),
        $title = $xml.find( "title" );

        // Append "RSS Title" to #someElement
        $( "#someElement" ).append( $title.text() );

        // Change the title to "XML Title"
        $title.text( "XML Title" );

        // Append "XML Title" to #anotherElement
        $( "#anotherElement" ).append( $title.text() );
}
});
    </script>

A sample item

<item>
<title>Building Bridges Between Technology And People</title>
<description>
Sagittarius has been appointed by the Rochester Bridge Trust as an approved supplier and technology partner to provide assistance to the Trust in 2014.
</description>
<link>
http://www.sagittarius-digital.com/News/our-news/building-bridges-between-technology-and-people.aspx
</link>
<pubDate>Mon, 16 Dec 2013 11:00:00 GMT</pubDate>
<guid>
http://www.sagittarius-digital.com/pages/news/latest_news_detail.aspx?nid=5607
</guid>
<category>Our News</category>
</item>