ANALYTICAL PROPERTIES OF PARTIAL WAVE SCATTERING AMPLITUDES OF CHARGED PARTICLES. I. S-WAVES

Journal Article · Fri Jun 01 04:00:00 EDT 1962 · Ukr. Fiz. Zh.

OSTI ID:4789031

Mentkovskii, Yu L

The analytical properties of the s-amplitude of the scattering of charged particles were studied as a function of momentum on the entire complex plane. The amplitude of scattering ts presented. It is shown over the entire open plane with a cut along the negative ray of the imaginary axis (except for point k = 0) that the function M (k) is a regular analytical function of momentum k. Its zeroes in the upper half-plane (except for the zero at the point k = 0) are purely imaginary, simple, and form a finite set. They correspond to the bound state of the system. The arrangement of an infinite, generally speaking, set of zeroes in the lower half-plane is idot established. (auth)

• Research Organization: Inst. of Physics, Academy of Sciences, Kiev
• NSA Number: NSA-16-033717
• OSTI ID: 4789031
• Journal Information: Ukr. Fiz. Zh., Journal Name: Ukr. Fiz. Zh. Vol. Vol: 7
• Country of Publication: Country unknown/Code not available
• Language: Ukrainian

Related Subjects

BINDING ENERGY
BOUND STATE
CHARGED PARTICLES
ENERGY LEVELS
FIELD THEORY
MATHEMATICS
MOMENTUM
PHYSICS
S-WAVE
SCATTERING
SCATTERING AMPLITUDE