METHOD TO MEASURE THE LIFETIME OF THE $Sigma$$sup 0$ HYPERON

Journal Article · Sat Dec 15 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys.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.128.2793· OSTI ID:4769229

Huang, K

A method, suggested by Wattenberg, to measure the lifetime of the SIGMA /sup 0/ hyperon is analyzed theoretically. The suggested method consists of measuring the distribution of angles between the Dalitz pairs emitted in the process SIGMA /sup 0/ yields LAMBDA /sup 0/ + e/sup +/ + e/sup -/, in which the SIGMA /sup 0/ was pre viously produced in a nucleus. The distribution function contains a part that depends both on the charge Z of the nucleus and on the lifetime of SIGMA /sup 0/. This part comes from the interference between the Z-dependent part of the matrix element with the Zindependent part. This interference owes its existence to two facts: that the target nucleon is in a bound state, and that the SIGMA /sup 0/ has a finite mass width. The effects of nuclear structure can be eliminated from the problem. A family of curves for the distribution functions corresponding to various values of the lifetime is obtained through the use of Born approximation for the Coulomb wave functions of the Dalitz pair. If the lifetime is in the neighborhood of 5 x 10/sup -20/ sec, then measurements with an accuracy of 10% would determine the lifetime to within a factor of 10. (auth)

• Research Organization: Massachusetts Inst. of Tech., Cambridge
• NSA Number: NSA-17-005245
• OSTI ID: 4769229
• Report Number(s): TID-15822; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 128; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
BORN APPROXIMATION
DALITZ PAIRS
ELECTRIC CHARGES
ELECTRIC FIELDS
ELECTRONS
ENERGY LEVELS
LAMBDA PARTICLES
LIFETIME
MASS
MATRICES
MEASURED VALUES
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
NUCLEONS
PERTURBATION THEORY
PHYSICS
POSITRONS
QUANTUM MECHANICS
SCATTERING
SIGMA PARTICLES
TARGETS