Manifestations of the D-State in Light Nuclei

Weller, H.R.; Lehman, D. R.

doi:10.1146/annurev.ns.38.120188.003023

Cited by 51 publications

(11 citation statements)

References 56 publications

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“…From this, we conclude that the threenucleon wave function generated from the PEST interaction is of high quality and practically indistinguishable from that obtained directly from the Paris interaction. This conclusion follows from the fact that the long-range configuration-space properties of the wave function are well reproduced as indicated by the asymptotic normalization constants and that these properties actually echo the internal dynamics present in the wave function through overall normalization [7]. Thus, the correct values for the fractions of the wave function components tell us the wave function is numerically accurate.…”

Section: Introductionmentioning

confidence: 78%

Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

et al. 1991

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Abstract. The numerical quality of the 3H wave function obtained by the separable expansion method of Ernst, Shakin, and Thaler is examined. Separable approximations to the Paris potential with increasing accuracy are used in the 1S0 and 3&-3DI partial waves to calculate the binding energy, wave function, wave-function component percentages, and the S-and D-wave asymptotic normalization constants of 3H. The results are compared with existing five-channel calculations obtained directly (without expansion) from the Paris potential to determine convergence. It is found that the results converge rapidly to the right values, indicating that the 3H wave function thus obtained is of high quality and essentially indistinguishable from that obtained directly from the Paris interaction.

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Section: Introductionmentioning

confidence: 78%

Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

et al. 1991

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“…The negative value of Q is associated directly with the negative value of the asymptotic mixing constant η D = −0.0125 [48], i.e. the sign of the D-component of the bound-state wave function (in the asymptotic region) must be opposite to that of the S-component.…”

Section: Tensor D-4 He Potential and The 6 LI Quadrupole Momentmentioning

confidence: 99%

Improvedd+4He potentials by inversion: The tensor force and validity of the double folding model

et al. 1998

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Improved potential solutions are presented for the inverse scattering problem for d+ 4 He data. The input for the inversions includes both the data of recent phase shift analyses and phase shifts from RGM coupled-channel calculations based on the NN Minnesota force. The combined calculations provide a more reliable estimate of the odd-even splitting of the potentials than previously found, suggesting a rather moderate role for this splitting in deuteron-nucleus scattering generally. The approximate parity-independence of the deuteron optical potentials is shown to arise from the nontrivial interference between antisymmetrization and channel coupling to the deuteron breakup channels. A further comparison of the empirical potentials established here and the double folding potential derived from the M3Y effective NN force (with the appropriate normalisation factor) reveals strong similarities. This result supports the application of the double folding model, combined with a small Majorana component, to the description even of such a loosely bound projectile as the deuteron. In turn, support is given for the application of iterativeperturbative inversion in combination with the double folding model to study fine details of the nucleus-nucleus potential. A d-4 He tensor potential is also derived to reproduce correctly the negative 6 Li quadrupole moment and the D-state asymptotic constant. 25.45.De,24.10.-i,21.60.Gx,24.75.+i Typeset using REVT E X 1 Contents of the paper. 1. Introduction 2. The role of parity dependence in IP inversion 3. Stabilised inversion of the d-4 He empirical data for 0 < E d ≤15 MeV 4. Inversion of RGM S(l) with breakup channel contributions 5. Validity of double folding model for d-4 He interaction and similar systems. 6. Tensor d-4 He potential and the 6 Li-quadrupole moment. Conclusions I. INTRODUCTIONMany basic features of the interactions between light composite particle are now well established. In particular, a good description [1]-[6], of the interactions of light nuclei such as d + t, t+ 3 He, 4 He+ 4 He etc. is obtained from a deep attractive potential with Pauliforbidden states with the addition of parity dependence, Young scheme splitting and a spinorbit interaction. Importantly, this type of interaction is now justified from microscopic considerations, both in quasi-classic picture [4] and also in quantum mechanical shell-model framework [1,7]. These results lead to a general comprehensive understanding of the relations between various interaction models which appear, at a first glance, to contradict to each other.Nevertheless, a number of finer features of the interaction, notably the role of the dynamic polarisation of loosely bound projectiles such as d or 6,7 Li when combined with antisymmetrization effects, are not yet fully understood despite many previous efforts. The existing problems and contradictions are illustrated by the following example. On the one hand, it is well known (see e.g. [1], [8]- [13]) that antisymmetrization and coupled-channel effects in composite parti...

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“…In addition at lower energies, polarized beams played a central rule in experimental studies, e.g. spectroscopy (resolving ambiguities in angular momentum assignments), determination of spin-dependence in the optical model, constraining the effects of the D-state in light nuclei [65], and angular momentum dependence in stripping and pickup reactions.…”

Section: Using the Tool: 1975-95mentioning

confidence: 99%

A Short History of Spin

Milner

2014

Proceedings of XVth International Workshop on Polarized Sources, Targets, and Polarimetry — PoS(PSTP2013)

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Manifestations of the D-State in Light Nuclei

Cited by 51 publications

References 56 publications

Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

Improvedd+4He potentials by inversion: The tensor force and validity of the double folding model

A Short History of Spin

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