The deuteron optical potential at low energies

Ermer, M.; Clement, H.; Holetzke, G.; Kabitzke, W.; Graw, G.; Hertenberger, R.; Kader, H.; Merz, F.; Schiemenz, P.

doi:10.1016/0375-9474(91)90820-v

Cited by 22 publications

(7 citation statements)

References 32 publications

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“…For an example of an empirical deuteron potential showing wavy features, see Refs. [8,9]. Such undularity might arise from the coupling to breakup channels, see for example Refs.…”

Section: Discussionmentioning

confidence: 99%

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Evidence forL-dependence generated by channel coupling:O16scattering fromC12
Mackintosh
¹

2016
Phys. Rev. C
8
2
32
0
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Background:In earlier work, inversion of S matrix for 330 MeV 16 O on 12 C resulted in highly undulatory potentials; the S matrix resulted from the inclusion of strong coupling to states of projectile and target nuclei. L-independent S-matrix equivalent potentials for other explicitly L-dependent potentials have been found to be undulatory. Purpose: To investigate the possible implications of the undulatory dynamic polarization potential for an underlying L dependence of the 16 O on 12 C optical potential. Methods: S matrix to potential, S L → V (r), inversion which yields local potentials that reproduce the elastic channel S matrix of coupled channel (CC) calculations, will be applied to the S matrix for 115.9 MeV 16 O on 12 C. Further, S L for explicitly L-dependent potentials are inverted and the resulting L-independent potentials are characterized and compared with the undulatory potentials found for 16 O on 12 C. Results: Some of the undulatory features exhibited by the potentials modified by channel coupling for 115.9 MeV 16 O on 12 C can be simulated by simple parameterized L-dependent potentials. Conclusions:The elastic scattering of 16 O by 12 C is a particularly favorable case for revealing the effective L dependence of the potential modified by channel coupling. Nevertheless, there is no reason to suppose that undularity is not a generic property leading in many cases to the choice: nucleus-nucleus potentials are (i) smooth and L-dependent, (ii) L-independent and undulatory, or (iii) both.

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“…For an example of an empirical deuteron potential showing wavy features, see Refs. [8,9]. Such undularity might arise from the coupling to breakup channels, see for example Refs.…”

Section: Discussionmentioning

confidence: 99%

“…Highly undulatory potentials have also been found with precision model-independent fitting of deuteron elastic scattering observables, see Refs. [8,9]. For heavier ions, there is very little elastic scattering data of sufficient precision and angular range to allow satisfactory model independent fitting.…”

Section: Introductionmentioning

confidence: 99%

Evidence forL-dependence generated by channel coupling:O16scattering fromC12
Mackintosh
¹

2016
Phys. Rev. C
8
2
32
0
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“…At about the same time it has been shown that folding potentials using realistic NN interactions are able to provide acceptable descriptions of the real part of the extracted light-ion potentials [3][4][5][6][7]. In particular it has been recognized that the density dependence of the effective NN interaction, which by itself is of fundamental interest, plays a crucial role.…”

Section: -Introductionmentioning

confidence: 99%

The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

et al. 1998

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The equation of state for cold nuclear matter is determined by the effective, density-dependent interaction between bound nucleons at temperature T = 0 . This interaction can be probed in elastic nucleus-nucleus collisions at various density overlaps which may extend to several times the normal matter density. For this purpose the elastic scattering of 16 O ions on 16 O has been measured at incident energies from 250 to 1120 MeV with high accuracy. From these data, which sample both diffractive and refractive scattering processes, we extract the underlying scattering potentials utilizing model-unrestricted analysis methods. These potentials fit very well into the systematics found in light-ion scattering and compare very favorably with microscopic calculations, if these are based on a weak density dependence of the effective NN interaction, resulting in a soft equation of state for cold nuclear matter.PACS 21.30 -Nuclear forces. PACS 21.65 -Nuclear matter. PACS 25.70.Bc -Elastic and quasielastic scattering. PACS 01.30.Cc -Conference proceedings.

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“…Relatively complete high quality data exists for some cases so it is a shame that the full information contained of such data is rarely fully exploited in a systematic way. There is an understandable reluctance for 'just fitting data', especially when such fits lead to strong undulations, Refs [90,91]. It is fortunate that Kepler did not feel that way about fitting Tycho Brahe's high quality planet-Sun scattering data.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…[90], for 20 MeV deuterons see Ref. [91], for protons, see Refs. [89,92]) and 'all' that remains is to establish a correspondence between particular forms of undularity and corresponding forms of l dependence.…”

Section: B Scattering Of Loosely Bound Nucleimentioning

confidence: 99%

The angular momentum dependence of nuclear optical potentials

Mackintosh

2019

Eur. Phys. J. A

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The nuclear optical model potential (OMP) is generally assumed to be independent of the orbital angular momentum, l, of the interacting nuclei. Nucleon-nucleus and nucleus-nucleus interactions are customarily l independent in calculations of nuclear elastic scattering and in standard reaction codes. The evidence for various forms of l dependence of OMPs is reviewed and the importance of implementing these forms is evaluated. Existing arguments and evidence for l dependence are reviewed and new arguments and calculations are introduced. The relationship is examined between (i) l dependence, and, (ii) the undularity (waviness) of l-independent potentials that are S-matrix equivalent to l-dependent potentials. Such undularity is a property of the dynamic polarisation potential (DPP) generated by the coupling to reaction channels, or by coupling to excited states of the target or projectile nuclei. Various examples, particularly involving weakly bound projectile nuclei, are presented. Such undularity also occurs in l-independent potentials that have been found in model independent fits to precise wide angular range elastic scattering angular distributions.Cases of such phenomenological undularity, for both light and heavy ions, are referenced and shown to be related to undulatory properties of the dynamic polarisation potentials (DPPs) arising from channel coupling. Other forms of l dependence, that could be standard options in direct reaction codes, are noted. Of particular importance are l dependencies arising from full antisymmetrization.The case is made that reaction-induced l dependence is a general property of nucleon-nucleus and nucleus-nucleus interactions and represents a valid extension of the nuclear optical model.

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The deuteron optical potential at low energies

Cited by 22 publications

References 32 publications

Evidence forL-dependence generated by channel coupling:O16scattering fromC12
Mackintosh
¹

2016
Phys. Rev. C
8
2
32
0
View full text Add to dashboard Cite

Evidence forL-dependence generated by channel coupling:O16scattering fromC12
Mackintosh
¹

2016
Phys. Rev. C
8
2
32
0
View full text Add to dashboard Cite

The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

The angular momentum dependence of nuclear optical potentials

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The deuteron optical potential at low energies

Cited by 22 publications

References 32 publications

Evidence forL-dependence generated by channel coupling:O16scattering fromC12Mackintosh1 2016Phys. Rev. C82320View full textAdd to dashboardCite

Evidence forL-dependence generated by channel coupling:O16scattering fromC12Mackintosh1 2016Phys. Rev. C82320View full textAdd to dashboardCite

The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

The angular momentum dependence of nuclear optical potentials

Contact Info

Product

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About

Evidence forL-dependence generated by channel coupling:O16scattering fromC12
Mackintosh
¹

2016
Phys. Rev. C
8
2
32
0
View full text Add to dashboard Cite

Evidence forL-dependence generated by channel coupling:O16scattering fromC12
Mackintosh
¹

2016
Phys. Rev. C
8
2
32
0
View full text Add to dashboard Cite