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Galilean invariance and pion production with excitation of giant dipole states

Thesis/Dissertation ·
OSTI ID:6048155
The role of Galilean invariance in a nonrelativistic theory of pion production is examined. A nonrelativistic pion-nuclear interaction H/sub ..pi..N//sup eff/ is one which in perturbation theory gives the same matrix element for a physical reaction as the limit of small nuclear velocities of the relativistic matrix element. The latter matric elements are always Galilean invariant, but this does not require that H/sub ..pi..N//sup eff/ be Galilean invariant. If a pion is emitted or absorbed by a nucleon moving in a potential, then the Galilean correction term can be shown to be ambiguously of order v/c or of order v/sup 2//c/sup 2/. It is shown that H/sub ..pi..N//sup eff/ cannot always reproduce the nonrelativistic limit of a relativistic matrix. It is suggested that pion production by nucleons on nuclei with excitation of giant dipole and quadrapole states may be particularly sensitive to the presence of a Galilean correction term in the production matrix. A DWBA two nucleon mode (TNM) s-wave pion production model is developed to investigate the sensitivity of the Galilean correction term. The TNM pion production process includes pion production by one nucleon, using the Galilean invariant pion production interaction, with the pion rescattered by the second nucleon. The TNM model employs a finite range approximation.
Research Organization:
Washington Univ., Seattle (USA)
OSTI ID:
6048155
Country of Publication:
United States
Language:
English

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Related Subjects

645200* -- High Energy Physics-- Particle Interactions & Properties-Theoretical
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON REACTIONS
BARYONS
BORN APPROXIMATION
BOSONS
CARBON 12 TARGET
CARBON 13
CARBON ISOTOPES
CHARGED-PARTICLE REACTIONS
DIPOLES
DWBA
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EVEN-ODD NUCLEI
EXCITATION
FERMIONS
HADRON REACTIONS
HADRONS
INVARIANCE PRINCIPLES
ISOTOPES
LIGHT NUCLEI
MESONS
MULTIPOLES
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
NUCLEONS
PARTIAL WAVES
PARTICLE PRODUCTION
PERTURBATION THEORY
PIONS
PIONS PLUS
PROTON REACTIONS
PSEUDOSCALAR MESONS
S WAVES
STABLE ISOTOPES
TARGETS