Potential model representation of 6Li break-up through a simple inversion procedure

Mackintosh, R. S.; Kobos, A.M.

doi:10.1016/0370-2693(82)90983-2

Cited by 78 publications

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References 9 publications

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“…IP,SRP The iterative-perturbative (IP) inversion method [18][19][20][21][22] starts the iterative inversion process with a starting reference potential (SRP).…”

Section: Inversion Code Imago: Definitionsmentioning

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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“…IP,SRP The iterative-perturbative (IP) inversion method [18][19][20][21][22] starts the iterative inversion process with a starting reference potential (SRP).…”

Section: Inversion Code Imago: Definitionsmentioning

confidence: 99%

“…Section II briefly presents some definitions relating to the Iterative Perturbative (IP) method [18][19][20][21][22] for S L → V (r) inversion. The various terms defined will be used in the discussion of the results of the calculations.…”

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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“…(We use "CC" to include coupled reaction channel, CRC, and continuum-discretized coupled-channel, CDCC.) An earlier variation of this approach involved refitting the observables rather than the S-matrix produced by the CC code [6,12,13], but this procedure was superseded with the advent of S-matrix-to-potential inversion techniques [14][15][16][17][18][19].…”

Section: Calculating the Dppmentioning

confidence: 99%

Dynamic polarization potential and dynamical nonlocality in nuclear potentials: Nucleon-nucleus potential

Keeley

Mackintosh

2014

Phys. Rev. C

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Background: Of the two sources of nonlocality in nucleon-nucleus and nucleus-nucleus interactions, knock-on exchange and dynamically generated, almost all papers referring to nonlocality mention only the first. Purpose: Our purpose is threefold: to demonstrate a method for including dynamical nonlocality, for which a simple prescription (like the Perey factor for exchange nonlocality) is unknown, within distorted wave Born approximation (DWBA) calculations; to identify signatures of dynamic nonlocality and illuminate the extent to which the presence of such nonlocality can influence the extraction of spectroscopic information from direct reactions, and more generally, to increase our understanding of nucleus-nucleus interactions. Methods: After reviewing existing indications of dynamically induced nonlocality, DWBA transfer calculations are presented which compare results involving dynamically nonlocal potentials with those involving their local equivalents. The dynamical nonlocal potentials are generated in situ by the presence of channel coupling and the local equivalents are generated by inversion of the corresponding coupled channel elastic S matrix. This method obviates the need for solving integro-differential equations for including nonlocal potentials in DWBA. Results: The coupling of nucleons to collective states of the target nucleus induces dynamical nonlocality in the nucleon-nucleus interaction that has a significant effect on (p,d) reactions at energies relevant to spectroscopic studies. Conclusions: A method for studying the contribution of dynamically induced nonlocality in nuclear interactions has been demonstrated. Dynamically induced nonlocality should not be overlooked in the analysis of direct reactions. The method can also be applied to dynamic nonlocality due to projectile excitation.

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“…[42]; the results presented here exploit the iterative-perturbative (IP) procedure [8,42,43] that can yield precise inversions over a wide range of situations. This method is the basis of the code IMAGO [44], which can invert the S-matrix for spin-0, spin- 1 2 and spin-1 projectiles.…”

Section: Calculation Of the Dppmentioning

confidence: 99%

“…The explanation was found to lie in the breakup of the projectile, and a good representation of the scattering was found when the breakup was included using the continuum discretized coupled-channels (CDCC) formalism [3][4][5][6][7]. Exact inversion of the elastic-scattering S-matrix from such calculations [8] revealed explicitly the surface repulsion induced by the breakup of the projectile, and approximate inversion procedures revealed this too [5,6]; one of the themes of this paper is to draw out differences between the results of alternative inversion procedures. Later, S-matrix inversion revealed generic features of the DPP [9,10], arising from the breakup of deuterons as well as 6 Li, that were not confined to the nuclear surface: breakup consistently generates repulsion * dypang@buaa.edu.cn † r.mackintosh@open.ac.uk in the nuclear surface and attraction at smaller radii, with a marked oscillatory pattern in the nuclear interior.…”

Section: Introductionmentioning

confidence: 99%

Dynamic polarization potential due to6Li breakup on12C

Pang

Mackintosh

2011

Phys. Rev. C

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For6 Li scattering from 12 C at five laboratory energies from 90 to 318 MeV, we study the dynamic polarization potential, DPP, due to the breakup of the projectile. The breakup is evaluated using standard continuum discretized coupled-channels formalism applied to a two-body cluster model of the projectile. The DPP is evaluated over a wide radial range using both direct S-matrix-to-potential inversion and trivially equivalent local potential methods which yield substantially and systematically different results. The radius at which the real DPP changes from external repulsion to interior attraction varies systematically with energy. This should be experimentally testable because, according to notch tests, this crossover radius is within a radial range to which elastic scattering should be sensitive. The imaginary DPP has an emissive (generative) region at the lower energies; this may be associated with counterintuitive properties of |S L |.

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Potential model representation of 6Li break-up through a simple inversion procedure

Cited by 78 publications

References 9 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

Dynamic polarization potential and dynamical nonlocality in nuclear potentials: Nucleon-nucleus potential

Dynamic polarization potential due to6Li breakup on12C

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Potential model representation of 6Li break-up through a simple inversion procedure

Cited by 78 publications

References 9 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

Dynamic polarization potential and dynamical nonlocality in nuclear potentials: Nucleon-nucleus potential

Dynamic polarization potential due to6Li breakup on12C

Contact Info

Product

Resources

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