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Pion-nucleon form factor in the Chew-Low theory

Journal Article · · Phys. Rev., C; (United States)
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We find a solution to the static Chew-Low theory of pion-nucleon scattering, avoiding the ''one-meson approximation.'' Our basic equation is crossing symmetric and may be solved for phase shifts delta (p) by standard numerical techniques, upon specifying a form factor v (p) and a set of inelasticities. With v (p) = exp(-p/sup 2//30) we reproduce experimental delta (p) for p/sub L/ < or = 1.2 GeV/c in the (3,3) state; in the (1,3) states and (3,1) states delta (p) compare well on the average but in the (1,1) state delta (p) have opposite signs. We show the importance of crossing symmetry and the coupling to inelastic channels, and we discuss the possibility of determining v (p) directly from elastic scattering by an inverse scattering formula.

Research Organization:
Physics Department, Texas AandM University, College Station, Texas 77843
OSTI ID:
5086645
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 17:1; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

645206* -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHEW-LOW METHOD
CROSSING SYMMETRY
ELASTIC SCATTERING
FORM FACTORS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTIONS
INVERSE SCATTERING PROBLEM
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUANTUM OPERATORS
SCATTERING
SCATTERING AMPLITUDES
SYMMETRY