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Dirac wave functions in hypernuclear formation through kaon photoproduction

Thesis/Dissertation ·
OSTI ID:5014800
The formation of hypernuclei through the photoproduction of kaons is formulated in the framework of a Relativistic Distorted Wave Impulse Approximation (RDWIA). Single particle wave functions obtained by solving the Dirac equation with scalar and vector potentials are employed to describe the nucleon and hyperon bound states. Evaluating the matrix elements in momentum space allows straightforward treatment of Fermi motion and nonlocalities of the photoproduction amplitude. The coupling constants of this operator, which is derived using diagrammatic techniques ad includes low-lying baryon and meson resonances, are obtained by a least squares fit to data. Kaon distortion is treated via an optical potential that is derived from the elementary KN-amplitudes. Relativistic effects are found to be important along with the effects of the nonlocalities, whereas kaon distortion is of minor importance. Realistic predictions about the effects of the hadron resonances are complicated by the uncertainty regarding the elementary coupling constants. Extensions of the impulse approximation were discussed in form of off-shell effects and medium modifications.
Research Organization:
Ohio Univ., Athens, OH (USA)
OSTI ID:
5014800
Country of Publication:
United States
Language:
English