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An effective range determination of phase shifts for the elastic proton helium-3 reaction between the energies of 0 and 12 MeV

Thesis/Dissertation ·
OSTI ID:7005268
New measurements have been made of the observables from the [sup 3][rvec H]e ([rvec p], p)[sup 3]He reaction in the energy range of 0 to 12 MeV. The new data were used in a global phase shift fit that utilized an energy dependent expansion of the phase shift parameters. The observable measurements were made possible through the construction of a new polarized [sup 3]He target for use with the Wisconsin tandem accelerator. The design of the polarized [sup 3]He target consisted of a low pressure double cell system which allowed the scattering cell to be cooled for increased target densities. The optimal pumping medium was an infrared LNA laser that provided approximately 1 watt of power at the wavelength of 1.083 [mu]m. The target was designed to produce polarizations along the three lab axes of [cflx x], [cflx y] and [cflx x]. The scattering observables were measured with the Wisconsin crossed-beam polarized proton source and the new [sup 3][rvec H]e target. Measurements of the proton analyzing power (A[sub y0]), [sup 3]He analyzing power (A[sub 0y]) and spin correlation coefficient A[sub yy], were performed for 10 angles at each of the five energies of 4.01, 5.54, 7.03, 8.52 and 10.01 MeV. Measurements were also made of the spin correlation coefficients A[sub xx], A[sub zz], A[sub xz], and A[sub zx] at 5.54 MeV. A new procedure was developed to express the scattering observables as functions of the phase shifts. The parameterization of the phase shifts was accomplished using a modified effective range expansion for each parameter. This was incorporated into a computer search routine that performed a global fit on the new measurements plus over 900 existing [sup 3]He(p,p)[sup 3]He observables. The addition of the new spin correlation measurements into the database has made it possible to uniquely specify the low energy phase shifts. The final fit has a reduced [chi][sup 2][sub nu] per degree of freedom of 0.959, and a confidence level of 0.823.
Research Organization:
Wisconsin Univ., Madison, WI (United States)
OSTI ID:
7005268
Country of Publication:
United States
Language:
English