Scientists study bosons and fermions using particle accelerators at facilities such as the Department of Energy’s Fermi Accelerator Laboratory.
Image courtesy of the Department of Energy Office of Science

All the fundamental particles in nature can be divided into two categories—bosons and fermions—depending on how they “spin” in quantum mechanical terms. The fundamental particles can all be distinguished by their spin. This spin is a quantum mechanical property that has characteristics of angular momentum.

What distinguishes bosons and fermions? Bosons are the fundamental particles that have spin in integer values (0, 1, 2, etc.). Fermions, on the other hand, have spin in odd half integer values (1/2, 3/2, and 5/2, but not 2/2 or 6/2). Spin can also have a direction, similar to how bigger particles can spin clockwise or counterclockwise. Bosons include photons (light), gluons (particles that act as force carriers in the nucleus), the Higgs boson, and the W and Z bosons. Fermions include protons, neutrons, electrons, neutrinos, and quarks.

In the world of particle physics, particles can combine to create new particles. For example, two neutrons (each with spin 1/2) and two protons (each with spin 1/2) can combine to create a helium nucleus, or an alpha particle. In this case, the spins combine (either through addition or subtraction) to create the total spin of the composite particle. Spin can add or subtract because it is a vector—it has both direction and magnitude. In our normal world, things can spin clockwise or counterclockwise. In the quantum world, scientists refer to “up” and “down” spin. In the case of a helium nucleus, the total spin is 0, making it a boson!

A consequence of quantum mechanics called the Pauli Exclusion Principle dictates that no two fermions can occupy the same quantum state. In other words, identical fermions such as two electrons cannot occupy the same location in space with the same quantum number. They cannot both spin in the same direction, but they can spin in opposite directions. Bosons, on the other hand, are exempt from this principle. This means two bosons may occupy the same location in space with the same spin. This is true even for composite bosons, such as helium. Several bosons in the same quantum state can collect into what is known as a “Bose-Einstein Condensate.” These Bose-Einstein condensates can be found in superfluid helium and scientists believe they also exist in neutron stars.

## DOE Office of Science Contributions to Boson and Fermion Research

Nearly every aspect of Office of Science research relies on the properties of bosons and fermions. The properties of atomic nuclei, quark-gluon plasmas, laser studies, fusion, and a host of other studies implicitly rely on the fact that fundamental particles are either bosons or fermions. Particle accelerators at facilities such as the ATLAS and the Facility for Rare Isotope Beams study atomic nuclei, which may be composite bosons or fermions. Scientists use the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory and the Continuous Electron Beam Accelerator Facility (CEBAF) at Thomas Jefferson National Accelerator Facility to study the bosons known as gluons within protons and neutrons as well as the fermions known as quarks. Researchers use the Long Baseline Neutrino Facility (LBNF) at Fermilab to study the peculiar properties of the fermions known as neutrinos.

## Boson and Fermion Facts

• A class of bosons known as gauge bosons act as “force carriers” between particles. These include the photon (which carries the electromagnetic force), gluon (which carries the strong nuclear force), and W and Z bosons (which carry the weak nuclear force). The hypothetical graviton, which carries gravity, has not been found.
• Quarks are fermions that combine to form the composite fermions, protons, and neutrons.
• Condensates of bosons can have superfluid properties, meaning they have zero viscosity and flow freely with no loss of energy. Neutron stars may have superfluid cores of boson condensates.
• Some quarks and gluons may have a preferred spin, thanks to the  strong nuclear force. Learn more in this DOE science highlight.

## Resources

Scientific terms can be confusing. DOE Explains offers straightforward explanations of key words and concepts in fundamental science. It also describes how these concepts apply to the work that the Department of Energy’s Office of Science conducts as it helps the United States excel in research across the scientific spectrum.