Parity Violation in Nuclear Physics
signature of the weak force
Gerald T. Garvey and Susan J. Seestrom
he elegant and concise negative sign. This result has impli- coordinate axes is inverted, such as description of the physical cations for the well-known solar- in the mirror reflection shown in Tworld contained in the stan- neutrino puzzle. The findings of Figure 1. In the second type of pari- dard model of electromagnetic, Laboratory scientists support the ty transformation, all three axes are weak, and strong interactions (see standard model and have been simultaneously inverted (x goes to “Unification of Nature’s Fundamental among the most sensitive tests of its −x, y goes to −y, and z goes to −z), Forces”) is supported by a vast body validity. However, since aspects of and again the description of the of experimental data. Often only the this research have been reported in familiar forces remains unchanged. first or the most precise experiments previous editions of Los Alamos Such interactions are said to be pari- are cited as providing the requisite Science, it seems opportune to dis- ty-conserving. For a long time body of supporting data. However, cuss another area of fundamental physicists thought that all basic the information and techniques research in nuclear and particle interactions must be parity-conserv- developed by the world community physics at the Laboratory. This tale ing. But if an interaction depends of experimental particle and nuclear involves the measurement of the on the “screw”-like behavior of par- physicists has provided the broad strength of the parity-violating inter- ticles, its description will not be base on which this powerful model actions between strongly interacting invariant under a parity transforma- has been constructed. particles—for example, between two tion. Consider the screw in Figure Los Alamos experimentalists, neutrons or a neutron and a proton. 1; it has right-handed threads, so particularly in the Physics and Before 1956 physicists believed when it is rotated as shown, it Medium-Energy Physics Divisions, that all the fundamental interactions advances in the +z direction (up, in along with university users of the in nature would be unchanged by a the figure). Its mirror image, how- Los Alamos Meson Physics Facility mirror reflection (or parity inver- ever, has left-handed threads. (LAMPF), have played a role in sion). Imagine a basic interaction Further, as the screw rotates, its mir- building that base. Many of the between two particles described in ror image rotates in the same direc- major contributions by Laboratory the orthogonal coordinate system (x, tion but advances in the −z direction. scientists have been in the realm of y, and z) as shown in Figure 1. A Screws can be machined with neutrino physics. For example, mirror reflection that inverts the z- either right-handed or left-handed they have established the most accu- axis (z goes to −z) results in the con- threads, so their handedness (the rate upper limit on the mass of the figuration shown in the mirror relationship between the direction of electron antineutrino from very image. The familiar interactions, rotation, or spin, and the direction of careful measurements of tritium beta such as gravity and the interaction motion) is not an intrinsic property decay. They also made the first between electric charges, depend of nature. However, if an elemen- measurements of the scattering of only on the distance d between the tary particle with intrinsic spin has a electron neutrinos from electrons, interacting particles, and so a fixed handedness (a fixed relation- which showed that the interference description of those forces is com- ship between its spin direction and between the charged and neutral cur- pletely unchanged by a parity trans- its direction of motion), the descrip- rents of the weak interaction has a formation in which any one of the tion of the particle will change
156 Los Alamos Science Number 21 1993
Garvey fig1 4/7/93 Parity Violation in Nuclear Physics: Signature of the Weak Force
z Motion B of screw A d
Sense of rotation
Right-handed under a parity transformation and it REALITY screw Right hand is said to violate parity conserva- y tion. Likewise if a basic interaction between particles involves only the Mirror left-handed or only the right-handed “screw”-like behavior of the parti- x cles, the interaction is said to violate parity conservation. Mirror image of right-handed screw looks like a left-handed screw In 1957 it was demonstrated that MIRROR IMAGE the interaction responsible for the Left hand beta decay of a neutron into a proton, Sense of an electron, and a neutrino violates rotation parity conservation. Specifically, when cobalt-60 nuclei, spinning in the same direction around the z-axis A in the presence of a magnetic field in d B the +z direction, underwent beta Motion of screw image decay, they emitted more electrons with a component of momentum in ∝ 1 Fgravity and is therefore unaffected by mirror reflection. the −z direction than in the +z direc- d2 tion. This result is not invariant ∝ 1 Felectrostatic and is therefore unaffected by mirror reflection. under a mirror reflection, indicating d2 that the interaction responsible for the decay process, called the weak Figure 1. Effects of a Mirror Reflection interaction, does not conserve parity. A mirror reflection is one type of parity transformation. In the figure the reflection Further, the direction and amount of inverts the z axis. The distance between points A and B is unchanged in the mirror asymmetry indicated that the weak image, so that the descriptions of the gravitational and electrostatic forces between, interaction is left-handed and vio- say, two electrons located at A and B would would also be unchanged. In contrast, lates parity in a maximal way. The the mirror image of the right-handed screw is a left-handed screw. When turned in reason that the weak interaction is the direction indicated by the red arrows, the screw advances in the +z direction left-handed is because the carriers of whereas its mirror image advances in the °z direction. Note that if you curl the fingers the weak force (the particles that are of your right hand along the red arrow, your thumb points up, in the direction of motion exchanged in weak processes), name- of the right-handed screw. Alternatively, if you curl the fingers of your left hand along − ly the W+, W , and Z0 bosons, inter- the red arrow, your thumb points down, in the direction of motion of the screw’s left- act with the left-handed component handed mirror image. Forces that depend on the relationship of spin rotation to direc- of particles and the right-handed tion of motion violate parity conservation. component of antiparticles. (It is interesting to note that although the massless particles with intrinsic spin ton plus an electron and antineutrino W+, W− , and Z0 bosons were postu- show a fixed handedness. A neutri- means that the neutron and proton, lated much earlier to unify the no always appears to spin clockwise which are known to interact through description of the electromagnetic when it is coming toward the the strong force, must also interact and weak interactions, they were first observer and is therefore a left- through the weak force; otherwise directly created and observed at the handed particle, whereas the anti- they could not be involved in weak European Center for Nuclear neutrino appears to spin counter- decay processes. One can therefore Research (CERN) in 1982.) clockwise when it is coming toward ask how the weak force affects the Neutrinos and antineutrinos are the observer and is therefore a right- interaction between two nucleons particles that participate in, as far as handed antiparticle. (the neutron and the proton look the we know, only weak interactions. The fact that the neutron decays same to the strong force and are Thus, it is not a surprise that these via the weak interaction into a pro- both called nucleons). The strong
1993 Number 21 Los Alamos Science 157 Parity Violation in Nuclear Physics: Signature of the Weak Force
Garvey fig2 4/5/93
(a) Mirror Reflection of Particle with Intrinsic Spin force dominates the interaction Particle is spinning clockwise between two nucleons; specifically, from observer's viewpoint the ratio of the strength of the weak interaction to that of the strong interaction is about 1 to 10 million. Typically the effects of such a small Mirror interaction would be next to impos- sible to detect, but the weak interac- Observer tion has a unique signature in that it Mirror Image is the only interaction in the stan- Mirror image of particle is spinning counter- dard model that violates parity. clockwise from observer's viewpoint Hence measurement of the amount of parity violation in a given process is a direct measure of the role (b) Definition of Spin Polarization played by the weak interaction in Right-handed that process. = As was mentioned earlier, parity violation was discovered in 1957, but Particle is spinning counter- Spin is said to be polarized it was not until seven years later that clockwise from observer's along the direction the first clear parity-violating effect viewpoint of motion was measured in processes other than weak decays of nuclei. In 1964 a Left-handed group headed by Yuri G. Abov in the = Observer then Soviet Union observed parity violation in the capture of polarized Particle is spinning clockwise Spin is said to be polarized neutrons by the nucleus cadmium- from observer's viewpoint opposite to the direction of motion 113. The gamma rays emitted fol- lowing the neutron capture were Direction of motion Sense of rotation Spin polarization emitted preferentially in the direction of the neutron polarization, which indicated that parity was violated. Thus the weak interaction between the nucleons within the nucleus was Figure 2. Mirror Reflection of a Particle with Intrinsic Spin producing measurable effects. (a) A proton is moving toward the observer and is spinning around the direction of Unfortunately the complexity of the motion as indicated by the red arrow. The mirror image of the proton is also relative motions of the nucleons in shown. To the observer, the proton spins clockwise, whereas the mirror image of the cadmium nucleus made it impos- the proton spins counterclockwise as both are moving toward the observer. sible to determine the strength of the Therefore if parity is conserved, the probability that a proton is scattered by a tar- weak interaction between pairs of get should be independent of its spin direction, provided that the target nuclei are nucleons from that experiment. spinning in random directions. (b) The direction of spin is often represented by a In 1970 a Los Alamos group led vector that is along the axis of spin rotation. Here the axis of spin rotation of a pro- by Hans Frauenfelder, Dick Mishke, ton is parallel to its direction of motion. According to convention, when the relation and Darrah Nagle began investigat- between the rotation and the motion is like that of a right-handed screw, the spin ing parity violation in the scattering vector points in the same direction as the direction of motion and the proton is said of protons from protons. For their to have its spin polarized along the direction of motion. When the relation between first experiments they used the the rotation and the motion is like that of a left-handed screw, the spin vector points polarized ion source installed by Joe opposite to the direction of motion and the proton is said to have its spin polarized McKibben in the tandem Van de opposite to the direction of motion. Graaff accelerator. The polarized
158 Los Alamos Science Number 21 1993 Parity Violation in Nuclear Physics: Signature of the Weak Force
Garvey fig3 4/5/93 ion source and its subsequent ver- 104 sions were essential to the experi- 232 ment because they produce a beam l = 0 Th of protons all of which are spinning in the same direction. The proton has intrinsic spin but 103 s)
no intrinsic handedness, so its spin rn direction can be changed relative to its direction of motion. Figure 2 illustrates that the ability to manipu- late the proton’s spin direction in a 102 known and controlled way is valu- able in investigating the degree of l = 1 parity violation in scattering two protons from one another. Figure 2a 101 depicts a fast-moving proton such as Neutron total cross section (ba would be found in a proton beam from an accelerator, as well as its mirror image. The proton is moving to the right and appears to be spin- 100 ning clockwise to the observer at 50 100 150 200 250 300 350 400 450 right. (It is behaving like a left- Neutron energy (eV) handed screw.) In the mirror image the proton is again moving to the Figure 3. Total Cross Section for Scattering and Absorption of right but appears to be spinning Neutrons by 232Th counterclockwise to the observer. The total cross section (or probability) for the interaction of neutrons with 232Th is plot- (It is behaving like a right-handed ted as a function of neutron energy. The many sharp peaks in the cross section are screw.) Thus, if the principle of called resonances and occur when the neutron energy equals the energy of an excited parity conservation applies, protons state of the compound nucleus 233Th and can therefore be absorbed by 232Th. The tall rotating clockwise or counterclock- peaks occur at energies of nuclear states with orbital angular momentum equal to zero wise relative to their direction of (l = 0) and the small peaks (lower by two orders of magnitude) occur at energies of motion (or, as defined in Figure 2b, nuclear states with l = 1. Both types of resonances can be studied with great sensitivity with their spins polarized either for the parity-violation effects, which are expected for l = 1 but not for l = 0 resonances. along or opposite the direction of motion) should be scattered identi- was measured in each case. The Van tons scatter mainly as a result of cally from a target composed of pro- de Graaff experiment began in the strong interactions, so the difference tons that are spinning in random early seventies and was not conclud- (resulting from the weak interac- directions. ed until the end of the decade. It tions) between the fraction of parti- A container of hydrogen provides was the first scattering experiment cles scattered for two different spin a suitable target because the average anywhere in the world in which par- polarizations was only 2 parts in 100 spin of the protons (hydrogen ity violation was observed. Protons million. Thus a variety of new tech- nuclei) in the target is zero. In the with spins polarized along their niques had to be invented to make Van de Graaff experiment protons direction of motion were scattered the measurement possible. After the polarized along the direction of slightly more often than those with Van de Graaff experiment was com- motion were scattered from the tar- opposite polarization. The reason pleted, the research group carried get, and then protons polarized in the experiment took so long to carry out a further measurement of parity the opposite direction were scat- out was that the measured asymme- violation using a much-higher-ener- tered. The total scattering cross sec- try between the two neutron polar- gy polarized proton beam available tion, or probability of scattering, izations was very small. The pro- at LAMPF. The observed effects
1993 Number 21 Los Alamos Science 159 Parity Violation in Nuclear Physics: Signature of the Weak Force
Garvey fig4 4/7/93
Figure 4. Setup for Parity- Tungsten spallation target 800-MeV protons Violation Experiment at LANSCE 0 Neutrons are produced by interaction of Neutron moderator 800-MeV protons with a split tungsten target shown at the top of the figure. 4.6 Radiation shield The energies of the neutrons so pro- Unpolarized neutron beam duced range from almost zero to nearly
Flux monitor 800 MeV. The neutrons pass first through a moderator that reduces the