Use of Polarized Deuterons to Determine the Total Angular Momentum Transfer in Stripping Reactions

Yule, T.J.; Haeberli, W.

doi:10.1103/physrevlett.19.756

Cited by 50 publications

(7 citation statements)

References 18 publications

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“…For the calcium target the measurements have been performed for energies ranging from 5 to 10 MeV while for the other targets the incident energy was 10 MeV. The transfered orbital angular momentum l can be extracted from the cross sections and from the vector analysing powers (VAP) one can determine whether j = l+1/2 or j = l−1/2 as shown by T.J. Yule and W. Haeberli [17]. These data will be used to test whether the previous approach can reproduce the measurements.…”

Section: Comparison With Some Experimental Datamentioning

confidence: 99%

Analysis of cross sections and Vector Analysing Powers of (d,p) reactions within the CDCC+DWBA approach.

Huu-Tai

2010

EPJ Web of Conferences

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Abstract. Transfer reactions likeA X(d,p) A+1 X are a powerful tool to investigate nuclear structure properties (see e.g. [1][2][3]) and the emergence of radioactive beams with high intensity will allow the use of this kind of reactions to study the properties of exotic nuclei. Nevertheless the analysis of reactions involving deuteron remains a difficult task because of its weakly bound and composite features. To overcome these issues, R.C. Johnson et al [4] and G.H. Ratwitcher [5] proposed in the seventies the Continuum Discretized Coupled Channels (CDCC) formalism which explicitly takes into account the composite property of the deuteron and includes the effects on cross sections of the coupling between the breakup and the deuteron ground state channels. Since then the CDCC approach has been widely studied [6][7][8] and it has been quite successfully applied to analyse elastic [7][8][9] , inelastic [8, 10] and transfer cross sections [11][12][13]. In this contribution, I will propose to re-analyse transfer reactions by the means of CDCC+adiabatic approach for a set of targets with N = 20 or N ≈ 28. I will show that with this approach, using both the differential cross sections and the vector analysing powers one can determine the orbital angular momentum and the spin of the captured nucleon without any adjustment.

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Section: Comparison With Some Experimental Datamentioning

confidence: 99%

Analysis of cross sections and Vector Analysing Powers of (d,p) reactions within the CDCC+DWBA approach.

Huu-Tai

2010

EPJ Web of Conferences

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“…The relations between the differential cross section, the polarization in the Basel convention, and the scattering of a spin-J projectile from a spin-0 target are given by dcr -=\a\*+\b\\ da P(d) = 2Im(ab*)(\a\*+\b] 2 )-1 , where a(6)=-ri expi-iv ln[sin 2 (i0)]}[2^ sin 2^) ]-1 1 +-E (i+ §)(tf.,-rap2t«,)P,(co60), 2ik i.i (26) (27) (28) In the above equations, 0 is the scattering angle in the center-of-mass system, t\ is the Coulomb parameter, and k is the wave number. The channel c is labeled by I and j.…”

Section: Xx'mentioning

confidence: 99%

Neutron Spectroscopic Factors from Isobaric Analog States

1968

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OVERLAPPING RESONANCES 975As expected, when one of the channels is switched off, Eq. (24) reduces to Eq. (8). By integrating out e and one of the total widths in Eq. (24) we find that the distribution of the single total width r=r\/(rx) is given by p(r)=(M37r~1)[exp( / zi)][r(2-r)-M2]-1/2 X{MIM3-T#I(MI)+#O(MI)] -2[r(2~r)-/x 2 Ko(Mi)} Xexp{-2 M 3Cr(2~r)i u 2 ]}, (25) where Mi= (This should be compared with the total dimensionless width y of the R matrix which is given byTo compare the distribution of the width V given by Eq. (25) with the one given by Eq. (26), we again calculate the mean-square deviations of the quantities T and y. As in Sec. II B, we find that the distribution of the width T is always broader than the one given by Eq. (26), except when the quantities D C i/(S) and Dc2/(S) are very small.The spectroscopic factors S n of bound neutron states are usually found from (d,p) stripping reactions. An alternative method of finding S n for medium-to-heavy nuclei is to analyze isobaric analog resonances observed in (p,p) scattering from these nuclei. The present analysis uses a modified i?-matrix theory in which boundary matching is done within the optical-model potential region rather than directly onto the Coulomb potential region. A resonance mixing phase and an optical penetrability are introduced. Both single-and multilevel resonances are treated. The effects of compound elastic scattering and the energy dependence of the level shift are investigated. Formulas for the spreading width are obtained. The variation of S n with the value of the matching radius and the best choice of this radius are discussed. As examples of the method, analyses of the s-wave resonance in 92 Zr(p,p) 92 Zr near 6.0-MeV bombarding energy and of s-and d-wave resonances in 90 Zr(p,py°Zr near 5.8 and 6.8 MeV are presented. The values of S n obtained are compared with those from (d,p) experiments, and the reliability of the two methods is discussed.

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“…In particular, this is one of the best playground for polarized beams. A good example can be found in the (d, p) reaction studies on single neutron states [78,79]. It was already known that the angular distribution of the cross section can be used to determine the orbital angular momentum of the captured neutron.…”

Section: Transfer Reactionsmentioning

confidence: 99%