THEORY OF LOW ENERGY NUCLEON-NUCLEON SCATTERING. III. PARTIAL WAVE INTEGRAL EQUATIONS FOR LOW ORBITAL MOMENTUM AMPLITUDES

Journal Article · Tue Nov 01 04:00:00 EST 1960 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

OSTI ID:4070093

Amati, D; Leader, E; Vitale, B

The theory of low-energy N-N scattering developed previously was applied to the low orbital momentum scattering amplitudes. Integral equations for these amplitudes were constructed, and the entire two-meson contribution to the left- hand cut is explicitly given in terms of the effect of the Born term and 3, 3 resonance in pion-nucleon scattering and a possible pi - pi intenaction. The contributions to the cut from higher-mass intermediate states were assumed to be given by a low-order polynomial in the energy, the coefficients of which will apear as phenomenological constants in the theory. The integral equations are exactly of the form treated recently by Noyes. This may be regarded as a specification of the left-hand cut discontinuity to be used in those equations, the solutions of which should give the energy variation of the low partial waves. (auth)

• Research Organization: CERN, Geneva
• NSA Number: NSA-15-012172
• OSTI ID: 4070093
• 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), 18; ISSN NUCIA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
BORN APPROXIMATION
DIFFERENTIAL EQUATIONS
ENERGY
FIELD THEORY
INTEGRAL EQUATIONS
INTEGRALS
INTERACTIONS
MATHEMATICS
MOMENTUM
NUCLEONS
ORBITS
PARTICLE MODELS
PERTURBATION THEORY
PHYSICS
PIONS
QUANTUM MECHANICS
RESONANCE
SCATTERING