SPIN EFFECT ON THE POSITION OF REGGE POLES

Journal Article · Sat Dec 01 04:00:00 EST 1962 · Zh. Eksperim. i Teor. Fiz.

OSTI ID:4707565

Azimov, Ya I

An accumulation of poles in the l-plane STAl = -(3n - 5)/2!, found by V. N. Gribov et al. (Phys. Rev. Lett., 9: 239(1962)), imposes a certain limitation on the asymptotic behavior of scattering amplitudes. The effects of particle spin on the position of the accumulations were analyzed using the simple case of two neutral spinless particles ( rature of the d mesons) in which spin particles (nucleon pairs) appear at an intermediate stage. The amplitude near the particle production threshold is proportional to pl, where p is particle production momentum, l is the orbital moment. The l magnitude depends on the orbital rature of the d -meson moment J and the total particle spin. The minimum value of l is J -- 2 122 to 158 deg , where 122 to 158 deg is the spin of each particle. The analysis indicates accumulation of poles at J = --1/2 + 20. Thus, the accumulation appears in spinless particle scattering amplitudes and all amplitudes related to it by a unitarity condition. Similarly, the n- particle production threshold for identical spins 122 to 158 deg leads to pole accumulations at J == --(3n -- 5)/2 + n 122 to 158 deg . The case of intermediate N-- N pairs was analyzed as a case of pole accumulation at arbitrary energy. In the first postulation relativistic theory considering high particle spin posed certain difficulties, however, elementary particles do not possess spins larger than a 1. Higher spins can be found in nuclei, however, data on nuclear amplitude anomalies are not yet sufficient. The second postulation is more detailed, and it is possible that the liquidation of accumulations could be achieved without special conditions. It was also observed that due to the gradient invariability the two-photon intermediate state does not result in accumulations either in the 1 or in 0. (R.V.J.)

• Research Organization: Ioffe Inst. of Physics and Tech., Lenningrad
• NSA Number: NSA-17-019167
• OSTI ID: 4707565
• Journal Information: Zh. Eksperim. i Teor. Fiz., Journal Name: Zh. Eksperim. i Teor. Fiz. Vol. Vol: 43
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

ELEMENTARY PARTICLES
FIELD THEORY
NUCLEONS
ORBITS
PAIR PRODUCTION
PARTICLE MODELS
PHYSICS
PIONS
REGGE POLES
SCATTERING
SCATTERING AMPLITUDE
SPIN