A THEORETICAL APPROACH TO LOW ENERGY PION PHYSICS

Journal Article · Fri May 01 04:00:00 EDT 1959 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(59)90258-5· OSTI ID:4237583

Bosco, B; Fubini, S; Stanghellini, A

The method stants from a determination of the pionnucleon scattering state vector in terms of the physical nucleon state vector and of the renormalized coupling constant. Such a determination can be performed in the one- meson approximation and leads in a simple and natural way to the same results as the Chew and Low approach to scattering and photoproduction. The method is then applied to the problem of radiative pion-nucleon scattering where an expression is obtained for the T matrix in a closed form which has the same degree of validity as the result for photoproduction. Although the method has its natural field of application in the framework of the static model, it can be applied to obtain the recoil ellects due to the motion of the physical nucleon. In the case of pion-nucleon scattering results are obtained closely analogous to those obtained in the framework of relativistic dispersion theory. (auth) l5662 The problem of the motion of two particles with nonzero center-of-mass momentum is discussed for nuclear matter. In a mathematically rigorous treatment the equation of motion is reduced to a set of integro differential equations that couple together the contributions of the various angular momentum substates present in the total wave-function. (auth)

• Research Organization: CERN, Geneva
• NSA Number: NSA-13-015661
• OSTI ID: 4237583
• Journal Information: Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 10
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DISPERSION RELATIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
INTERACTIONS
MOTION
NUCLEONS
PERTURBATION THEORY
PHOTOPRODUCTION
PHYSICS AND MATHEMATICS
PIONS
RECOILS
RELATIVITY THEORY
SCATTERING