Geneva — Scientists at the world’s biggest atom smasher hailed the discovery of “the missing cornerstone of physics” Wednesday, cheering the apparent end of a decades-long quest for a new subatomic particle called the Higgs boson, or “God particle,” which could help explain why all matter has mass and crack open a new realm of subatomic science.

First proposed as a theory in the 1960s, the maddeningly elusive Higgs had been hunted by at least two generations of physicists who believed it would help shape our understanding of how the universe began and how its most elemental pieces fit together.

As the highly technical findings were announced by two independent teams involving more than 5,000 researchers, the usually sedate corridors of the European Center for Nuclear Research, or CERN, erupted in frequent applause and standing ovations. Physicists who spent their careers in pursuit of the particle shed tears.

The new particle appears to share many of the same qualities as the one predicted by Scottish physicist Peter Higgs and others and is perhaps the biggest accomplishment at CERN since its founding in 1954 outside Geneva along the Swiss-French border.

Rolf Heuer, director of CERN, said the newly discovered particle is a boson, but he stopped just shy of claiming outright that it is the Higgs boson itself — an extremely fine distinction.

“As a layman, I think we did it,” he told the elated crowd. “We have a discovery. We have observed a new particle that is consistent with a Higgs boson.”

The Higgs, which until now had been purely theoretical, is regarded as key to understanding why matter has mass, which combines with gravity to give all objects weight.

The idea is much like gravity and Isaac Newton’s early theories. Gravity was there all the time before Newton explained it. The Higgs boson was believed to be there, too. And now that scientists have actually seen something much like it, they can put that knowledge to further use.

The center’s atom smasher, the $10 billion Large Hadron Collider, sends protons whizzing around a circular 17-mile underground tunnel at nearly the speed of light to create high-energy collisions. The aftermath of those impacts can offer clues about dark matter, antimatter and the creation of the universe, which many theorize occurred in a massive explosion known as the Big Bang.

Most of the particles that result from the collisions exist for only the smallest fractions of a second. But finding a Higgs-like boson was one of the biggest challenges in physics: Out of some 500 trillion collisions, just several dozen produced “events” with significant data, said Joe Incandela of the University of California at Santa Barbara, leader of the team known as CMS, with 2,100 scientists.

Each of the teams confirmed Wednesday that they had “observed” a new subatomic particle — a boson. Heuer said the discovery was “most probably a Higgs boson, but we have to find out what kind of Higgs boson it is.” He referred to the discovery as a missing cornerstone of science.

As the leaders of the two teams presented their evidence, applause punctuated their talks.

“Thanks, nature!” joked Fabiola Gianotti, the Italian physicist who heads the team called ATLAS, with 3,000 scientists, drawing laughter from the crowd.