Symmetry properties of the scattering amplitude and the spin dependence of the deuteron-nucleus interaction

Hooton, D. J.; Johnson, Roch Christian

doi:10.1016/0375-9474(71)90451-9

Cited by 66 publications

(19 citation statements)

References 13 publications

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“…(0) and T22(0), originating predominantly from terms quadratic in the spin orbit potential [10] in contrast to very small values in T2z(0), originating predominantly from terms cubic in the spin orbit potential [10]. The tensor potential causes considerable changes.…”

Section: A) Global Potential Analysismentioning

confidence: 86%

“…For technical reasons systematic experiments with tensor polarized beams at cyclotrons (E~=12MeV [7], 30MeV [8], 56MeV [91) have been restricted to the determination of T2o(0) and 7)2(0). These tensor analyzing powers, however, have large contributions originating from the spin orbit potential, which may be overcome only by a specific linear combination of T20(0) and T22(0) [8,10]. On the other hand the contribution of the spin-orbit potential to the tensor analyzing power T21(0) is weak, and the experimentally observed effects in T21(0) are approximately proportional to the strength of tensor potentials.…”

Section: Introductionmentioning

confidence: 84%

“…8, the values of the potential parameters, extracted in this way are summarized in Table 2. Following Hooton and Johnson [10] the tensor analyzing power T22(0) results from an interference of the scattering amplitudes originating from the tensor potential with those originating from the central and spin orbit part. To extract tensor potentials from a best fit we demanded therefore as a first step a good reproduction of cr(0) and i T11(O) by the adjustment of the central and spin orbit parameters.…”

Section: B) Phenomenological Fitsmentioning

confidence: 99%

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On the tensor term in the deuteron optical potential nearE d =20 MeV

et al. 1984

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The elastic scattering of vector and tensor polarized deuterons near 20 MeV has been analyzed in terms of the phenomenological optical potential including a complex tensor term of TR-type. In comparison with folding potentials we find a strong reduction of the real part of the TR-potential with increasing mass number, the contribution of coupling to vibrational excitations is discussed.Nuclear Reactions: 4He, 160, a6Ar, 4~ 6SCu, 144Sm, 2~ T21(0), optical potential analysis, deduced: TR tensor potentials.

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Section: A) Global Potential Analysismentioning

confidence: 86%

Section: Introductionmentioning

confidence: 84%

Section: B) Phenomenological Fitsmentioning

confidence: 99%

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On the tensor term in the deuteron optical potential nearE d =20 MeV

et al. 1984

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“…We note, that the channel coupling by the quadrupole-quadrupole interaction also affects the backward angular range of the elastic scattering and leads to a further improvement in the description of the elastic scattering data. In order to discuss the different contributions of the quadrupole-quadrupole interaction to the inelastic scattering in more detail, we treat the transition amplitude by perturbation theory quite in analogy to the concept of Hooton and Johnson [4] for the treatment of spin dependent effects in the elastic scattering. Writing the scattering potential V=V c +V T and the transition formfactor F=Fc+F T, where for convenience the spin-orbit parts should be included in V c and Fc, then we obtain for the inelastic scattering amplitude:…”

Section: Discussionmentioning

confidence: 99%

Nuclear quadrupole-quadrupole interaction in the inelastic scattering of aligned deuterons from deformed nuclei

et al. 1983

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The 2~--excitation of deformed nuclei by tensor polarized deuterons provides an alignment of both nuclei and thus a means to study specifically the quadrupole-quadrupole interaction between both nuclei. The tensor analyzing power A=(O) has been measured for the elastic and inelastic scattering on 24Mg and ZsSi. The coupled channel analysis including a deformed tensor potential reveals a clear signature of the quadrupole-quadrupole part of the nuclear projectile-target interaction.

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“…[15,16]. Microscopic calculations of McAbee's spin-spin potentials were performed using a valence-nucleon model for the target nucleus and an effective NN interaction.…”

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confidence: 99%

Role of the tensor exchange potential in nucleon-nucleus scattering

2011

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We give a microscopic derivation of the spin-spin components of the optical potential for elastic scattering of a nucleon from a target with nonzero spin. A realistic nucleon-nucleon interaction containing direct and exchange terms is used to generate a folded nucleon-nucleus potential whose spin-spin components are treated in distorted-wave Born approximation. We show how folding leads to spin-spin tensor interactions with higher order couplings in the projectile and target spin that have not been explicitly considered before. We place particular emphasis on the polarization transfer coefficient D NN for 200-MeV protons elastically scattered from 10 B, which is rigorously unity in the absence of any spin-spin interactions and for which experimental data exist. We find that deviations of D NN from unity are particularly sensitive to spin-spin exchange terms arising from the nucleon-nucleon tensor interaction and the nuclear wave functions describing the target one-body density matrix. Unpolarized differential cross sections and vector analyzing powers are found to be very insensitive to these terms. In order to determine optical potentials for the exotic nuclear species planned to be created in future radioactive beam facilities, it is necessary to establish optical models that better describe interactions for nucleon scattering from nonzero spin targets. Optical potentials are vital for studying the structure of atomic nuclei, but the full spin dependence of the interaction between nuclei with nonzero nuclear spin has not been fully explored. In many scattering experiments spin-spin effects are averaged out because of random projectile or target spin orientations. However, with the next generation of radioactive beam facilities currently under construction there is a vital need for nuclear reaction theory calculations to make predictions of polarization observables relevant to the proposed experiments. In order to do this, it is timely to re-examine the microscopic foundation of the nucleon optical model when the target nucleus has nonzero spin.Experimental evidence for the dependence of elastic scattering of protons from a nuclear target on the spin of the target has been obtained through the measurement of the polarization transfer coefficient, D NN , by Betker et al. where the trace is taken over the projectile and target spin projections. The theoretical value of this observable is equal to unity unless a term dependent on the orientation of the target spin is present in the potential. It therefore provides a unique test of the spin dependence in the optical potential. Betker et al. measured a significant deviation of D NN from unity at large * e.cunningham@surrey.ac.uk angles for 200-MeV protons elastically scattering from 10 B at the Indiana University Cyclotron Facility (IUCF). However, their coupled-channel distorted wave impulse approximation (DWIA) calculation of D NN deviated from unity by only about 5% at large angles, an order of magnitude smaller than the observed data. Here we address this issue ...

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Symmetry properties of the scattering amplitude and the spin dependence of the deuteron-nucleus interaction

Cited by 66 publications

References 13 publications

On the tensor term in the deuteron optical potential nearE d =20 MeV

On the tensor term in the deuteron optical potential nearE d =20 MeV

Nuclear quadrupole-quadrupole interaction in the inelastic scattering of aligned deuterons from deformed nuclei

Role of the tensor exchange potential in nucleon-nucleus scattering

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