ALBANY — The state Senate abruptly adjourned for the second day in a row Thursday in a tense stalemate between Republicans and Democrats.

“They’re effectively paralyzed,” said one lawmaker. “They can’t even vote to say the pledge [of Allegiance.]”

Republicans who control the body have been unable to muster a majority after one of their members, Tom Croci of Long Island, returned to military duty.

That left the chamber deadlocked, with Republicans and Democrats each controlling 31 votes.

“We have a lot of things we need to get done but if this is the way they’re going to conduct business, that’s their problem,” Sen. Majority Leader John Flanagan fumed. “That’s their fault.”

Democrats shot down a GOP attempt Thursday to pass what would normally be run-of-the-mill legislation to establish a protocol for treating children with concussions from sports injuries.

“You saw Democrats playing shameless games with people’s lives, children’s lives,” Flanagan said. “It’s embarrassing. It’s disgusting and I hope the public understands they voted down a bill that aims to protect children all across the state of New York.”

Democrats blamed Republicans for withholding all bills – to stall a hostile attempt to pass a women’s health package on Wednesday that would have expanded women’s abortion rights.

And they blasted the GOP for failing to create a new “active list” that lets lawmakers know what they would bring to the floor for a vote on Thursday.

The concussion proposal was the only bill addressed during a brief and tense gathering before senators left in a huff Thursday.

“What happened today is something that’s been unprecedented,” said Democratic Senate Leader Andrea Stewart Cousins.

Thursday’s turn of events indicates the legislature will have trouble passing any meaningful legislation – and even routine local tax extenders — unless Republicans can haul back Croci to Albany.

Flanagan said it’s an “open question” whether Croci will return.

“That’s a topic of discussion between Sen. Croci and the federal government,” he said.

Asked whether the Senate could get anything done for the remainder of the year, Flanagan said he was optimistic but lacked details on how the GOP can accomplish anything.

“We know how to act like adults,” he said. “We’ve demonstrated that.”

Democrats jumped into the blame game as well, saying they would continue to show up to try to enact legislation.

“I’m hoping my colleagues across the aisle will look at the big picture – what New Yorkers need, what they want, and what they would expect from us… Let’s act as a body that understands why we’re here,” Stewart-Cousins said.

The legislative session is scheduled to end June 20.