Deformation and target spin-dependent effects in 9Be + p at 220 MeV

doi:10.1016/0375-9474(85)90372-0

Nuclear Physics A

Volume 442, Issue 4, 16 September 1985, Pages 686-700

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Abstract

Cross-section and analyzing-power measurements were performed for the $^{9} Be (p, p_{0})^{9} Be and^{9} Be (p, p_{2})^{9} Be^{∗}$ reactions. The depolarization parameter D was also measured on the first reaction. The data were analyzed in terms of standard optical-model and macroscopic DWBA as well as coupled-channel calculations. The former approach does not reproduce well the elastic and inelastic analyzing-power data. Coupled-channel calculations provide a good description of both the cross- section and analyzing-power data. The D-data are interpreted in terms of contributions from both the quadrupole spin-flip mechanism and the nucleon-nucleus spin-spin interactions.

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The calculation of the differential cross-section of inelastic p⁹Be scattering (to the levels $J^{π} = 1 / 2^{+}$ , $3 / 2^{+}$ ) was made in the framework of the Glauber diffraction theory. We have used the wave function of ⁹Be in the ground and excited states in the three-body $2 α n$ model. Expansion in series by gaussoids of the wave function of ⁹Be and presentation of the Glauber's operator Ω in the form, conjugated with three-body wave function make it possible for us to analytically calculate the matrix elements of inelastic scattering, taking into account all of the multiplicities of scattering and rescattering on clusters and nucleons, which are components of ⁹Be. The drawn-up profiles of probability densities of excited state functions allow us to form conclusions on their extended neutron distribution. The differential cross-section with the wave function in model 1 (with the αα-Ali–Bodmer potential) is in good agreement with available experimental data at $E = 180 MeV$ .
Energy levels of light nuclei A = 8,9,10
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Three-body breakup cross sections and analyzing powers for the ⁶Li, ⁷Li, ⁹Be and $^{12} C (p,pα)$ reactions were measured at an incident energy of 296 MeV. Data were analyzed using the plane wave impulse approximation (PWIA) and the distorted wave impulse approximation (DWIA) and compared with previous studies. DWIA calculations reproduce shapes of projected spectra and analyzing power distributions fairly well with the exception of the $^{12} C (p,pα)^{8} Be$ reactions. Extracted spectroscopic factors for ⁶Li, ⁹Be and ¹²C are larger than those found in the previous studies. In contrast, extracted spectroscopic factors for ⁷Li agree with the previous work. This work suggests that the spectroscopic factor for ⁶Li is ∼ 0.8, independent of incident energies and reaction types.
Proton scattering off 9Be and the final-state interaction in the (e,e′p) and (γ,p) reactions on 10B
1994, Nuclear Physics, Section A
Differential cross sections and analysing powers for the reaction⁹Be(p^→, p′) have been measured at incident proton energies of 54.7 and 74.7 MeV. The new data, supplemented by existing data in the energy range from 30 to 220 MeV, has been subjected to various analyses with the aim of obtaining optical potentials to calculate final-state interaction effects in proton-knockout reactions. A conventional optical model analysis fails to give a description that is in simultaneous agreement with all elastic scattering data. A considerable improvement is obtained by including the quadrupole contribution to elastic scattering, both with phenomenological and microscopic potentials. Finally, the influences of the various reaction mechanisms and of the differences between the derived potentials are studied when applied to (e,e′p) and (γ,p) calculations in the distorted wave impulse approximation.
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The depolarization parameter D in proton- ¹³C elastic scattering at 72 MeV has been measured at 34° ⩽ θ_c.m. ⩽ 69° with an overall accuracy of (3–4) × 10⁻³. Significant deviations from D = 1 were observed around 65°. This finding constitutes unambiguous evidence for a nucleon-nucleus spin-spin interaction. The data were fitted by a conventional optical model potential which included a real, spherical spin-spin potential with surface form factor and V_ss = 0.7 ± 0.1 MeV. Good description of the data was also obtained by a microscopic calculation which was based on a density dependent, effective interaction and shell model wave-functions. Similar calculations for ⁹Be, ¹⁵N, ²⁹Si and ³¹P are consistent with recent data. In particular, they explain the large effects observed for ¹⁵N.
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^☆: This work is supported in part through funds provided by the Natural Sciences and Engineering Research Council of Canada.

^∗: Present address: Sandia National Laboratories, Albuquerque, NM 87185, USA.

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Nuclear Physics A

Abstract

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Particles and Nuclei

Cited by (33)

Inelastic p<sup>9</sup>Be scattering and halo-structure of excited states of <sup>9</sup>Be

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Alpha spectroscopic factors for <sup>6</sup>Li, <sup>7</sup>Li, <sup>9</sup>Be and <sup>12</sup>C from the (p<sup>→</sup>, pa) reaction at 296 MeV

Proton scattering off <sup>9</sup>Be and the final-state interaction in the (e,e′p) and (γ,p) reactions on <sup>10</sup>B

Depolarization in elastic proton scattering and the nucleon-nucleus spin-spin interaction

Depolarization in p-<sup>15</sup>N elastic scattering and large tensor spin-spin interaction

Deformation and target spin-dependent effects in 9Be + p at 220 MeV☆

Abstract

Nucl. Phys.

Phys. Lett.

J. de Phys.

Nucl. Phys.

Nucl. Instr. Meth.

UCLA report 66-10

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

Nucl. Phys.

Phys. Rev.

Can. J. Phys.

Particles and Nuclei

Deformation and target spin-dependent effects in $^{9} Be + p at 220 MeV$ ☆