WEAK-COUPLING CURRENTS AND SYMMETRIES OF STRONG INTERACTIONS

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.121.324· OSTI ID:4126595

Behrends, R E; Sirlin, A

The general isotopic properties of bilinear currents which will lead to the ? delta S ? 1 and delta I = 1/2 rules for weak decay processes are examined. The latter rule is reexpressed in terms of an equivalent mathematical statement which permits one to obtain the usual predictions in a simple manner. In general, when the strangenessconserving part of such a current is anisotopic vector, the strangeness-changing part can be a linear combination of I = 1/2 and I = 3/2 currents. The existence of an I = 3/2 current could be established by experiments on the decays K -- pi + leptons, or on high-energy neutrino capture, u + N -- mu + SIGMA . Experiments on K/sub e4/ decays could test the bilinearity of the current. The assumption that the vector part of such a current, both strangeness changing and nonchanging, is quasi-conserved (i.e., neglecting certain mass differences) in the presence of the strong interactions fixes the specific form of the current and further implies symmetries for the strong couplings. The various transformations which leave invariant a Yukawa- type strong interaction as well as their associated currents are found. A new possible symmetry group of the strong interactions is examined: a 14 parameter group usually denoted as G2. In the presence of both pi and K couplings, it is found that I = 1/2 and 3/2 currents are quasi-conserved when the strong Lagrangian has a 7-dimensional rotational symmetry, while for the I = 3/2 alone, the symmetry required is G2. In the presence of only pi -baryon couplings, only I = 1/2 currents can be quasi-conserved. Certain predictions for the K/sub e3/ and K/sub e4/ modes of decay and for SIGMA /sup -/ -- n + e/sup -/ + nu follow from the weak currents determined in this way. (auth)

• Research Organization: Inst. for Advanced Study, Princeton, N.J.
• NSA Number: NSA-15-006669
• OSTI ID: 4126595
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 121; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CAPTURE
CURRENTS
DECAY
ELECTRONS
INTERACTIONS
KAONS
LEPTONS
MUONS
NEUTRINOS
NEUTRONS
NUCLEAR MODELS
NUCLEONS
PHYSICS
PIONS
QUANTUM MECHANICS
SELECTION RULES
SIGMA PARTICLES
STRONG INTERACTIONS
TRANSIENTS
VECTORS
YUKAWA POTENTIAL