THE REGGE FORMALISM FOR RELATIVISTIC PARTICLES WITH SPIN

Journal Article · Sat Nov 16 04:00:00 EST 1963 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

DOI:https://doi.org/10.1007/BF02828820· OSTI ID:4102478

Mandelstam, S

The scattering amplitude for particles of spin sigma /sub 1/ and sigma /sub 2/ is examined in the angalar-momentum plane, and the perturbation terms are found to have poles at the positive integers below sigma /sub 1/+ sigma /sub 2/ or at the corresponding half-integers if sigma /sub 1/ + sigma /sub 2/ is half- integral. In the complete amplitude, the poles begin to move away from these values as the coupling is turned on. However, the amplitude in the j-plane, obtained by analytically continuing the amplitude from values of j greater than sigma /sub 1/+ sigma /sub 2/ -- 1, will not be equal to the physical partial- wave amplitudes at the points in question. In the presence of a third double- spectral function, the states of the wrong signature will have essential singularities of the Gribov-Pomeranchuk type at these points. The results are also valid in processes that can have an intermediate state with particles of spin sigma /sub 1/ and sigma /sub 2/. If the spinning particles are themselves Regge particles, all these statements may require modification. (auth)

• Research Organization: Univ. of Birmingham, Eng.
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-009130
• OSTI ID: 4102478
• 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), 30; ISSN NUCIA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
ELEMENTARY PARTICLES
ENERGY LEVELS
FIELD THEORY
MATHEMATICS
MOMENTUM
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
REGGE POLES
RELATIVITY THEORY
SCATTERING
SPECTRA
SPIN