Adiabatic model of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>reactions with explicitly energy-dependent nonlocal potentials

Johnson, R.C.; Timofeyuk, N. K.

doi:10.1103/physrevc.89.024605

Cited by 27 publications

(90 citation statements)

References 28 publications

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“…In summary, the analysis of this section indicates that the T = 1 2 p-8 Li elastic phase shifts are strongly influenced by the coupling to 9 Be eigenstates. For the 6 S 5 2 + partial wave the observed enhancement of the lowlying p-8 Li resonance is an effect of the coupling with the d− 7 Li decay channel, and can be described well within the coupled NCSM/RGM calculation of Fig.…”

Section: B Elastic P− 8 LI Scattering Phase Shiftsmentioning

confidence: 99%

“…Excitations of the target nucleus have been directly or indirectly accounted for in the CDCC [8] approach, adiabatic threebody models [9] and, recently, in the distorted-wave Born approximation model [10]. Important core excitations effects have also been found in Faddeev-type calculations for nuclear reactions [11].…”

Section: Introductionmentioning

confidence: 99%

“…A more complete calculation including also higher-energy decay modes would be required for the resonances found above − channel the two calculations produce identical eigenphase shifts owing to the absence of 9 Be states in the NCSM portion of the basis. At the high excitation energies considered in this work, the considerably large density of 9 Be levels made it extremely difficult to identify and extract all relevant partial waves. For the 5 2 + eigenphase shifts, the short-range correlations introduced in the nuclear wave function through the 9 Be NCSM eigenstates leave the position of the resonance unchanged but lead to a much narrower width, as shown by the steep NCSMC curve.…”

Section: B Elastic P− 8 LI Scattering Phase Shiftsmentioning

confidence: 99%

“…3. Indeed, the inclusion of 2 are left unchanged, owing to the fact that we did not add 9 Be NCSM eigenstates in that isospin channel.…”

Section: B Elastic P− 8 LI Scattering Phase Shiftsmentioning

confidence: 99%

“…We also present an initial set of NCSMC results for the 7 Li(d,d) 7 Li elastic reaction, where 9 Be eigenstates are included in the model-space. The treatment of deuteron stripping reactions within the NCSMC framework is beyond the scope of the present work and will be presented elsewhere.…”

Section: Introductionmentioning

confidence: 99%

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Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

et al. 2016

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Background: Low-energy transfer reactions in which a proton is stripped from a deuteron projectile and dropped into a target play a crucial role in the formation of nuclei in both primordial and stellar nucleosynthesis, as well as in the study of exotic nuclei using radioactive beam facilities and inverse kinematics. Ab initio approaches have been successfully applied to describe the 3 H(d, n) 4 He and 3 He(d, p) 4 He fusion processes.Purpose: An ab initio treatment of transfer reactions would also be desirable for heavier targets. In this work, we extend the ab initio description of (d, p) reactions to processes with light p-shell nuclei. As a first application, we study the elastic scattering of deuterium on 7 Li and the 7 Li(d,p) 8 Li transfer reaction based on a two-body Hamiltonian. Methods:We use the no-core shell model to compute the wave functions of the nuclei involved in the reaction, and describe the dynamics between targets and projectiles with the help of microscopic-cluster states in the spirit of the resonating group method.Results: The shape of the excitation functions for deuteron impinging on 7 Li are qualitatively reproduced up to the deuteron breakup energy. The interplay between d-7 Li and p-8 Li particle-decay channels determines some features of the 9 Be spectrum above the d+ 7 Li threshold. Our prediction for the parity of the 17.298 MeV resonance is at odds with the experimental assignment.Conclusions: Deuteron stripping reactions with p-shell targets can now be computed ab initio, but calculations are very demanding. A quantitative description of the 7 Li(d,p) 8 Li reaction will require further work to include the effect of three-nucleon forces and additional decay channels, and improve the convergence rate of our calculations.

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Section: B Elastic P− 8 LI Scattering Phase Shiftsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: B Elastic P− 8 LI Scattering Phase Shiftsmentioning

confidence: 99%

“…3. Indeed, the inclusion of 2 are left unchanged, owing to the fact that we did not add 9 Be NCSM eigenstates in that isospin channel.…”

Section: B Elastic P− 8 LI Scattering Phase Shiftsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

et al. 2016

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Precision measurement of the angular distribution for the 16O(d, p)17O transfer reaction to the ground state of 17O

et al. 2019

Nuclear Physics A

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Recent developments for the optical model of nuclei

Dickhoff¹,

Charity²

2019

Progress in Particle and Nuclear Physics

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A brief overview of various approaches to the optical-model description of nuclei is presented. A survey of some of the formal aspects is given which links the Feshbach formulation for either the hole or particle Green's function to the time-ordered quantity of many-body theory. The link between the reducible self-energy and the elastic nucleon-nucleus scattering amplitude is also presented using the development of Villars. A brief summary of the essential elements of the multiple-scattering approach is also included. Several ingredients contained in the time-ordered Green's function are summarized for the formal framework of the dispersive optical model (DOM). Empirical approaches to the optical potential are reviewed with emphasis on the latest global parametrizations for nucleons and composites. Various calculations that start from an underlying realistic nucleon-nucleon interaction are discussed with emphasis on more recent work. The efficacy of the DOM is illustrated in relating nuclear structure and nuclear reaction information. Its use as an intermediate between experimental data and theoretical calculations is advocated. Applications of the use of optical models are pointed out in the context of the description of nuclear reactions other than elastic nucleon-nucleus scattering. arXiv:1811.03111v1 [nucl-th] 7 Nov 2018The number of works that are encompassed by the title of "optical model" is immense and any review must be selective. The topics and studies present in this review are biased by the interests of the authors. We start with several theoretical derivations of the optical potential and its connection to the self-energy in many-body formulations in Sec. 2. In Sec. 2.1 the analysis of Capuzzi and Mahaux [6] will be employed to link the Feshbach approach to the many-body perspective provided by the time-ordered Green's function. We complement this in Sec. 2.2 with a derivation by Villars [7] that formalizes the work of Ref.[8] that demonstrates the equivalence of the nucleon-nucleus T -matrix to the on-shell reducible nucleon self-energy Σ red associated with the time-ordered Green's function. This approach is important as it can be extended to the description of more complicated reactions involving composite projectiles or ejectiles. In Sec. 2.3 we briefly summarize some elements of the multiple-scattering approach but refrain from a detailed presentation which is available in Ref. [9]. We will take particular interest in the empirical dispersive optical model (DOM) where the real and imaginary potentials are connected by dispersion relations thereby enforcing causality. This approach allows one to exploit the formal properties of the time-ordered Green's function including its link to the nucleon self-energy through the Dyson equation [10,11]. As the dispersion relations require the optical potentials to be defined at both positive and negative energy, the formalism makes connections between nuclear reactions and nuclear structure needed for a better understanding of rare isotopes. Some ingredients...

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Adiabatic model of(d,p)reactions with explicitly energy-dependent nonlocal potentials

Cited by 27 publications

References 28 publications

Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

Precision measurement of the angular distribution for the 16O(d, p)17O transfer reaction to the ground state of 17O

Recent developments for the optical model of nuclei

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