ON THE ANALYTIC CONTINUATION OF THE S-MATRIX IN ANGULAR MOMENTUM

Journal Article · Thu Nov 01 04:00:00 EST 1962 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

OSTI ID:4739907

Prosperi, G M

It is proved that an analytic continuation of the coefficients of the partial-wave expansion for two-particle reactions, which M. Froissart proved was holomorphic up to the line Re 1 = N (N = number of subtractions in the Mandelstam representation), can be further continued up to the line Re 1 = 1, and it is meromorphic in this extended region. The result has been established for spinless particles of equal masses m, under the assumptions that the minimum threshold for the spectral functions (apart from single poles) is 4m/sup 2/ and that there is an appropriate continuation in 1 of the factor of the inelasticity, and under certain other hypotheses about the number of zeros and the asymptotic behavior of the original Froissart continuatlon. The crossing symmetry and the unitarity condition in the three channels play and essential role in the proof. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-17-005552
• OSTI ID: 4739907
• Report Number(s): UCRL-10201; 0029-6341
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 26; ISSN NUCIA
• Country of Publication: United States
• Language: English

Related Subjects

ANALYTIC FUNCTIONS
ANGULAR MOMENTUM
BEHAVIOR
BOSONS
CROSSING SYMMETRY
DISPERSION RELATIONS
ELEMENTARY PARTICLES
EXPANSION
FIELD THEORY
GROUP THEORY
INTERACTIONS
INVARIANCE PRINCIPLE
MANDELSTAM REPRESENTATION
MASS
MATHEMATICS
MATRICES
MOMENTUM
PARTIAL WAVES
PARTICLES
PHYSICS
QUANTUM MECHANICS
SCATTERING
SCATTERING AMPLITUDE
SPECTRA
SPECTRAL FUNCTIONS
SPIN
UNITARITY