Complete sets of analyzing powers for elastic and inelastic (to the 1/2(-) first excited and 7/2(-) resonant states of Li-7) scattering of polarized Li-7 by He-4 have been obtained. Relations between the different analyzing powers were determined by applying the invariant amplitude method. A comparison of these relations with the measured analyzing powers suggests that the odd rank tensor analyzing powers arise from higher order quadrupole interactions. The quadrupole interaction also gives rise to the inelastic analyzing powers. Continuum-discretized coupled-channels calculations using alpha+t cluster-folded potentials confirm this crucial role of the quadrupole interaction in producing the observed Li-7+He-4 analyzing powers. Cluster-folded spin-orbit and third rank tensor potentials were found to have negligible effects, in contrast to polarized deuteron elastic scattering where the spin-orbit potential plays the dominant role, even in producing the second rank analyzing powers. Coupling between the excited states of Li-7, in particular that between the 0.478 MeV 1/2(-) and the 6.68 MeV 5/2(-) states, was also found to be important.
The results of extensive coupled-reaction-channel calculations are compared with the cross section and new analyzing power data for the C-12(Li-6,d)O-16 reaction leading to the 0.0-MeV 0(+), 6.13-MeV 3(-), 6.92-MeV 2(+), 8.87-MeV 2(-), and 10.35-MeV 4(+) states of O-16 at Li-6 bombarding energies of 34 and 50 MeV. All the analyzing power data at both energies and all the cross section data at 50 MeV, with the exception of that for the C-12(Li-6,d)O-16 transition to the 0.0-MeV 0(+) state of O-16 are presented here for the first time. These results suggest that there are significant multistep contributions to transfers leading to the 0(+) and 3(-) states, while those leading to the 2(+) and 4(+) states may be reasonably well described by simple direct alpha transfer. The importance of multistep effects is found to increase with increasing bombarding energy.
Complete sets of analyzing powers have been obtained for a large number of inelastic scattering and single-nucleon stripping channels for 34-MeV polarized Li-7+C-12. We present data for inelastic excitation to the 0.478-MeV 1/2(-) state of Li-7, the 4.44-MeV 2(+), 7.65-MeV 0(+), and 9.64-MeV 3(-) states of C-12 and for mutual excitation of the 1/2(-) and 2(+) states, single-neutron stripping to the 0.0-MeV 1/2(-), 3.09-MeV 1/2(+), and 3.85-MeV 5/2(+) states and an unresolved multiplet centered at 7.6 MeV of C-13, and single-proton stripping to the 0.0-MeV 1/2(-) state and an unresolved doublet of the 3.51-MeV 3/2(-) and 3.55-MeV 5/2(+) states of N-13. These data are analyzed with the continuum-discretized-coupled-channels approach using cluster-folding model form factors in a calculation that includes all the known physics for these systems.
Complete sets of analyzing powers have been obtained for a large number of inelastic scattering and single-nucleon stripping channels for 34-MeV polarized ${}^{7}\mathrm{Li}{+}^{12}\mathrm{C}.$ We present data for inelastic excitation to the 0.478-MeV ${1/2}^{\ensuremath{-}}$ state of ${}^{7}\mathrm{Li},$ the 4.44-MeV ${2}^{+},$ 7.65-MeV ${0}^{+},$ and 9.64-MeV ${3}^{\ensuremath{-}}$ states of ${}^{12}\mathrm{C}$ and for mutual excitation of the ${1/2}^{\ensuremath{-}}$ and ${2}^{+}$ states, single-neutron stripping to the 0.0-MeV ${1/2}^{\ensuremath{-}},$ 3.09-MeV ${1/2}^{+},$ and 3.85-MeV ${5/2}^{+}$ states and an unresolved multiplet centered at 7.6 MeV of ${}^{13}\mathrm{C},$ and single-proton stripping to the 0.0-MeV ${1/2}^{\ensuremath{-}}$ state and an unresolved doublet of the 3.51-MeV ${3/2}^{\ensuremath{-}}$ and 3.55-MeV ${5/2}^{+}$ states of ${}^{13}\mathrm{N}.$ These data are analyzed with the continuum-discretized-coupled-channels approach using cluster-folding model form factors in a calculation that includes all the known physics for these systems.
A complete set of analyzing powers has been obtained for C-12((7)(Li.) over bar Li-7) C-12 elastic scattering at a bombarding energy of 34 MeV. Optical model calculations using standard forms for the spin-orbit and tensor potentials are unable to simultaneously describe all the available data. However, coupled-discretized-continuum-channels (CDCC) calculations using cluster-folding model form factors provide a reasonable overall description of the. data with only two adjustable parameters. Reorientation effects are extremely important in obtaining a good description of the analyzing powers, with the reorientation coupling of the Li-7 ground state being a major contributor to all the analyzing powers and the main source of the second-rank tensor analyzing powers T-20. T-21, and T-22. The failure of optical model calculations to describe the second rank data implies that the effect of this reorientation coupling cannot be described accurately by means of a dynamic polarization potential constrained to be of the standard forms. The CDCC calculations also demonstrate the effect of coupling to the alpha -t continuum on the analyzing powers.
Primary standards for 7Li polarimetry requiring a measurement of the reaction p(7Li→,α) at 0° to the beamline impose excessive radiation damage on the detectors. Eliminating this damage requires the establishment of secondary standards for the online measurement of beam polarization. A complete set of analyzing powers has been obtained for the scattering of polarized 7Li by 4He to the 4.63MeV excited state of 7Li at a bombarding energy of 31.5MeV. Certain angles at which both the differential cross-sections and analyzing powers are large are tabulated as secondary polarization standards.
The odd rank analyzing powers T-T(10) and T-T(30) for C-12((7)(Li) over right arrow,(7)(Li) over right arrow)C-12 and C-12((7)(Li) over right arrow, alpha)N-15 have been measured with high precision for a (7)(Li) over right arrow bombarding energy of 34 MeV. The angular distributions of the T-T(10) and T-T(30) data are strongly correlated, marking the first experimental evidence of a relationship between analyzing powers of different rank. The ratio of T-T(30) to T-T(10) obeys limits derived from the assumptions that the reaction is both peripheral and well localized in the reaction plane, allowing, for the first time, a third rank analyzing power to contribute to our understanding of Li-7.
The first complete set of analyzing powers for any nuclear spin $\frac{3}{2}$ beam is reported. Analyzing powers and elastic cross section are presented for ${}^{4}\mathrm{He}{(}^{7}\mathrm{Li}\ensuremath{\rightarrow}{,}^{7}\mathrm{Li}{)}^{4}\mathrm{He}$ at the two center of mass energies of 11.5 and 16.5 MeV. An optical model analysis of these data shows the need for spin-orbit and second rank tensor potentials in addition to real and imaginary central potentials. The inclusion of triton transfer improves the description of the large angle elastic scattering cross section but has little impact on the calculated analyzing powers. The description of the third rank analyzing powers ${\mathrm{iT}}_{31}$ and ${\mathrm{iT}}_{33}$ is poor at small angles, and no combination of potentials including a large third rank potential is able to describe them. No real evidence for the presence of a third rank potential is found.
The odd rank analyzing powers T-T(10) and T-T(30) for C-12(L-7 (i) over right arrow,Li-7)C-12 and C-12(L-7 (i) over right arrow,alpha)N-15 have been measured with high precision for a L-7 (i) over right arrow bombarding energy of 34 MeV, The angular distributions of the T-T(10) and T-T(30) data are strongly correlated, marking the first experimental evidence of a relationship between analyzing powers of different rank. The ratio of T-T(30) to T-T(10) obeys limits derived from the assumptions that the reaction is both peripheral and well localized in the reaction plane, allowing, for the first time, a third rank analyzing power to contribute to our understanding of Li-7. (C) 2000 Elsevier Science B.V. All rights reserved.
Angular distributions of the $\ensuremath{\alpha}$-particle production differential cross section from the breakup of ${}^{6}\mathrm{Li}$ and ${}^{7}\mathrm{Li}$ projectiles incident on a ${}^{208}\mathrm{Pb}$ target have been measured at seven projectile energies between 29 and 52 MeV. The $\ensuremath{\alpha}$-breakup cross section of ${}^{6}\mathrm{Li}$ was found to be systematically greater than that of ${}^{7}\mathrm{Li}$ across the entire energy range. These data have been compared with previously reported results and with the predictions of continuum-discretized coupled channels (CDCC) calculations including resonant and nonresonant projectile breakup. The present data compare well with previous measurements, while the CDCC calculations provide a reasonable prediction of the relative $\ensuremath{\alpha}$-breakup cross sections but underpredict their absolute values. The calculations confirm that a major factor in the enhancement of the ${}^{6}\mathrm{Li}$ to ${}^{7}\mathrm{Li}$ $\ensuremath{\alpha}$-breakup cross section is the difference between the $\ensuremath{\alpha}$-breakup thresholds of the two isotopes. These results have implications for structural studies of light exotic nuclei based on elastic scattering.
The first complete set of analyzing powers for the C-12((6)<(Li)over bar>,d)O-16(g.s.) reaction at E(Li-6) = 50 MeV is reported. It was possible to simultaneously describe Li-6+C-12 elastic scattering and its analyzing powers, d+O-16 elastic scattering, and the C-12((6)<(Li)over bar>,d)O-16(g.s). transfer data. This 0(+)-->0(+) transfer is used to probe the role of spin-dependent interactions in this reaction, including, the Li-6 D state, with finite-range-distorted-wave-Born-approximation calculations. It is found that the exit channel spin-orbit d+O-16 interaction produces the transfer analyzing powers, but that the shape and magnitude of the transfer angular distribution is determined by the central Li-6+C-12,d d+O-16 interactions. The limited knowledge of the size of the alpha+C-12 system is shown to be the major uncertainty in using the C-12(Li-6,d)O-16 reaction to determine absolute alpha+C-12 spectroscopic factors. [S0556-2813(99)00605-6].
Measurements of cross section, vector analyzing power A(y), and tensor analyzing powers A(zz) and A(xz) over the angular range 10 degrees less than or equal to theta(lab) less than or equal to 40 degrees have been performed at E(Li-6) = 34 MeV for the Ni-58((6)<(Li)over right arrow>, d)Zn-62 and Ca-40((6)<(Li)over right arrow>, d)Ti-44 reactions leading to the ground state and first excited state of both residual nuclei. The reactions an described by distorted-wave Born approximation calculations, assuming a direct alpha-particle transfer mechanism. The asymptotic D/S state ratio eta for the d + alpha relative wave function in Li-6 is determined. In this one-step analysis, the best fit to the tensor observables leads to a value of eta = +0.0003 +/- 0.0009. This value is in disagreement with most of the previous theoretical and empirical determinations of eta. An investigation of two-step reaction mechanisms is performed, allowing the J(pi) = 3(+), 2(+), and 1(+) states in Li-6 to contribute to the transfer reaction channel. Reasonable agreement is achieved with the cross section and vector analyzing power data for several possible two-step amplitudes. It is found that the fitted magnitude of eta increases with increasing two-step amplitude, giving eta = -0.0030 +/- 0.0022 for unit amplitude, therefore not changing significantly from our one-step result. [S0556-2813(99)00812-2].
One way to quantify the D-state component of the wave function of a nucleus is by the quantity eta, the ratio of the D- and S-state asymptotic normalization constants. Analyses of the analyzing powers from transfer reactions induced by polarized ions have been useful for the determination of eta in the A = 2 - 4 systems. In an effort to determine eta for the df ct relative motion in Li-6 we have measured analyzing powers for (Li-6,d) reactions on Ni-58 and Ca-40 at E(Li-6) = 34 MeV. The experiments were performed at Florida State University using the Optically Pumped Polarized Lithium Ion Source. We compared the data with the results of well-constrained DWBA calculations assuming a direct alpha-particle transfer mechanism. With eta the only free parameter in the calculations, a best fit to the tensor analyzing power data results in an average value of eta = +0.0003 +/- 0.0009, much smaller than previous determinations.