COLLEGE STATION, -The sun not only radiates light all over the place, but it also
emits millions of tiny invisible particles called neutrinos. A team of Texas A&M
University physicists has reported in the journal Physical Review C one of the most
precise results about the number of solar neutrinos by using an original approach
starting a new sub-discipline within nuclear astrophysics.

“The main puzzle about solar neutrinos,” says Carl A. Gagliardi, a Texas A&M
professor of physics and a leader of the team, “is that their measured number has
always been lower than expected. Though the main explanation is now that neutrinos
have mass (which was not originally predicted), details about how they are produced
in the sun still need to be investigated.”

Gagliardi and his collaborators have been investigating for about six years how
neutrinos are produced in the sun. Current models predict that neutrinos are
produced in the sun through various nuclear reactions. So Gagliardi and his
collaborators studied in the laboratory the reaction for which most of the solar
neutrinos are produced, called “proton capture reaction,” by measuring a related
process, called the “proton transfer reaction.”

In the laboratory, the scientists used a device called the Momentum Achromat Recoil
Spectrometer (MARS) in which a beam of beryllium 7 nuclei coming from Texas A&M’s
cyclotron are projected onto a target of nitrogen 14 nuclei. After the collision, a proton
escapes from a nitrogen 14 nucleus and binds to a beryllium 7 nucleus to make a
boron 8 nucleus.

In the sun, when a proton and a beryllium 7 nucleus collide, they can make a boron 8
nucleus, which in turn decays into a beryllium 8 and a neutrino.

Though the proton capture reaction is the predominant source of solar neutrinos, it
mostly occurs at the very high temperatures inside the sun while its probability is
strongly reduced in man-made nuclear reactions.

“As the probability of the capture reaction is quite small,” Gagliardi says, “to observe it,
you need large numbers of radioactive nuclei and protons, you collide them together,
you perform the reaction, and then you count the few times that you make boron 8.”

To determine the probability of producing boron – and in turn the number of neutrinos
produced in the sun – the physicists determine the probability of the reaction between
the proton and beryllium 7 nucleus as a function of the distance between them. This
probability depends on the distribution of protons inside boron 8, which is high for
small distances and becomes smaller at large distances.

“The distribution has the shape of a hill,” Gagliardi says, “with the hilltop at small
distances and the hillside at larger distances. Previous experiments looked at the
distribution at small distances, focusing on the bulk of the hill. Instead I have been
interested in the large distances, using the proton transfer reaction to focus on the
hillside and the bottom of the hill.”

The probabilities at large distances are much more sensitive than those at small
distances. Indeed small changes in the probability at the center of the distribution are
barely noticed, but the same small changes can dramatically affect the shape and
size of the tail of the distribution, Gagliardi says.

Because both approaches are not similarly sensitive to changes due to experimental
uncertainties, the new approach offers an independent insight on the number of
expected solar neutrinos.

Gagliardi and his collaborators determined the probability of the tails of the
distributions – called “Asymptotic Normalization Coefficients” – with a 10.5 percent
uncertainty. Their results, published in the May issue of the journal Physical Review C,
matches most previous results and exclude values published in 1966 by Peter D.
Parker, professor of physics and astronomy at Yale University and in 1969 by Ralph
W. Kavanagh, professor emeritus of physics at California Institute of Technology in

“The consensus is now that less boron 8 is produced from the sun, which in turn
reduces the number of solar neutrinos by around 20 percent compared to previous
calculations,” Gagliardi says.

These new numbers should allow scientists to improve the current model describing
how the sun produces neutrinos, and ultimately determine neutrino’s mass with a
better precision.

“A big ambiguity has been resolved,” Gagliardi says. “This new result sets our
calculations of stellar physics on a much firmer foundation, which makes the
interpretation of the results in terms of neutrino oscillations considerably more
reliable than it was before.”

By studying the proton transfer reaction of protons with beryllium nuclei, Gagliardi has
developed an approach that is now being used to study other nuclear reactions
occurring inside stars, supernova explosions and various astrophysical environments
involving radioactive nuclei.

“Our goal was to achieve around 10 percent uncertainty and we achieved 10.5 percent
uncertainty,” Gagliardi says. “But at the same time we have started a new
sub-discipline within nuclear astrophysics, which was not our goal. It is particularly
rewarding to see other people pick up what you have been doing and emulate it.”