Theoretical investigation of giant resonances by inelastic proton scattering

doi:10.1016/0375-9474(79)90079-4

Nuclear Physics A

Volume 324, Issue 1, 23 July 1979, Pages 77-98

https://doi.org/10.1016/0375-9474(79)90079-4 Get rights and content

Abstract

A fully microscopic, antisymmetrized DWBA analysis of (p, p') spectra in the giant resonance region of ¹⁶O, ⁴⁰Ca and ²⁰⁸Pb is presented. The nuclear structure information is derived from RPA wave functions calculated in large configuration spaces. The theoretical spectra are in general in agreement with the experimental results. A new interpretation follows from our. investigation for the spectrum of the giant dipole region in the heavy nuclei: This resonance structure is mainly due to the breathing mode, whereas the electric dipole contribution is much smaller.

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Microscopic distorted wave impulse approximation (DWIA) calculations are presented for composite-particle charge exchange scatterings at intermediate energies. A method is developed which permits the exact calculation of the so-called knock-on exchange transition amplitudes. The basic tool used in these calculations is the multipole expansion method which is repeatedly applied to carry out multidimensional integrals. Based on this method a new computer code has been developed which is applied to the ⁹⁰Zr(³He, t) reaction at 600 MeV incident energy. The no-recoil approximation to the knock-on exchange transition amplitude is investigated. The importance of tensor exchange effects for the (³He, t) reaction is discussed. A microscopic analysis of the forward angle ⁹⁰Zr(³He, t) spectra is presented using random phase approximation (RPA) wave functions for the description of the nuclear excitation spectrum. We find that the theoretical cross sections calculated with these wave functions describe the data rather well at all scattering angles.
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New measurements of inelastic proton scattering to low-lying collective states of ²⁰⁸Pb at 200 and 400 MeV are reported. Deformation lengths (δ_H = βR) extracted from angular distributions for the 3⁻ (2.614), 5⁻₁ (3.198 MeV), 5⁻₂ (3.709 MeV), 2⁺ (4.086 MeV) and 4⁺ (4.324 MeV) states are in good accord with values extracted at other incident proton energies. The fact that the deformation lengths for these levels are independent of incident proton energy within experimental uncertainty provides further support of the validity of the collective DWBA for medium energy proton scattering to strongly excited states. Advantage is taken of this to extract more precise values for the ratio of neutron to proton multipole matrix elements for both the low-lying states and the giant quadrupole resonance at 10.6 MeV.
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1983, Physics Letters B
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^†: Also Physik-Department, University of Bonn, D-5300 Bonn, West Germany.

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Nuclear Physics A

Abstract

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Nucl. Phys.

Phys. Rev.

Nuclear spectroscopy and reactions

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Cited by (23)

Antisymmetric distorted wave impulse approximation calculations for composite particle scattering

Validity of collective model DWBA analysis for intermediate energy proton scattering to low-lying states of <sup>208</sup>Pb

Response functions of <sup>58</sup>Ni, <sup>116</sup>Sn AND <sup>208</sup>Pb to the excitation of intermediate-energy α-particles

Hexadecapole component in the giant quadrupole resonance region of <sup>208</sup>Pb

Neutron and proton multipole matrix elements in <sup>48</sup>Ca and <sup>208</sup>Pb

The decay width of higher multipole giant resonances