The 21-year-old, who started his career at Notts County, has signed a four-year contract at the City Ground.
Notts County continued to cause their opponents problems, with winger Alan Judge a constant menace.
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The launch took place during half time of AFC Bournemouth's game with Notts County on Saturday.
The former Crystal Palace boss has installed ex-Notts County manager Ian McParland as his assistant.
Notts' first home Twenty20 fixture this season is against Derbyshire Falcons on 11 June.
Notts were in trouble at 46-3 after being set a victory target of 315.
Paceman Amjad Khan removed Russell Warren and Notts skipper Stephen Fleming for eight and one respectively.
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Notts were always chasing the game after being bowled out for 59 on the opening day.
Albert Scardino, American husband of Pearson's chief executive, was briefly chairman of Notts County.
Tann started his career with Cambridge United, before spells with Leyton Orient and Notts County.
Munto Finance's takeover has yet to be sanctioned by the majority shareholder, the Notts County Supporters' Trust.
And the 32-year-old is hoping that the break from captaincy could benefit Notts later in the season.
Notts keeper Stuart Nelson then saved Bradley Wright-Phillips' penalty after Joe Ayinsah was fouled by Mike Edwards.
Tann was without a club having been released by Notts County and has signed a one-year deal.
Astle has previous experience of county cricket, having made nine Championship appearances for neighbours Notts in 1997.
Notts round off their domestic Twenty20 campaign with home games against Leicestershire (Wednesday), Derbyshire (Friday) and Lancashire (Sunday).
The new job of bin inspector at Mansfield District Council in Notts has been taken by Alan Wilson.
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In contrast, the result is one final blow in what has been a desperate week for Notts County.
Former Stoke City, Barnsley and Notts County manager Thordarson took over at the Alexandra Stadium in December 2008.
McGoldrick made four appearances for Notts County's first team before joining Southampton for an undisclosed fee, aged 16, in August 2004.
Craig Westcarr went close to doubling Notts' lead late on but his shot was tipped over by Elliot.
Since leaving Hull, Pearson had been linked with Leeds, where he was once commercial director, Notts County and Huddersfield.
The victory shoves Notts back up to second behind Group A leaders Worcestershire.
But Notts denied they have received or rejected a written multi-million pound bid for the club from a consortium.
Neal also spent a six-game spell on-loan at Notts County earlier this season.
Notts began their chase well with Graeme Swann (61), but late hitting from Andre Adams (30) was not enough.
Cristian Montano gave Notts hope when he tapped in following an Alan Sheehan corner but the visitors held on.
In February, former England captain and current Notts County manager Paul Ince condemned Premier League footballers who wear snoods.
Boro were drawn against the Premier League giants in the fifth round after a 1-0 win over Notts County.
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