Nucleon transfer reactions with radioactive beams

Wimmer, K.

doi:10.1088/1361-6471/aaa2bf

Cited by 33 publications

(49 citation statements)

References 172 publications

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“…Transfer reactions provide an efficient tool to study the single-particle structure of nuclei away from stability [3][4][5][6][7][8]. They are therefore used to study halo structures, like in 11 We have reanalyzed these data within the ADWA model of transfer [16], using a Halo-EFT description of 11 Be at leading order [27,28].…”

Section: Discussionmentioning

confidence: 99%

“…Experimentally, the upgrade of rare isotope beam facilities worldwide provides us with many ways to explore these halo systems. Transfer reaction [3][4][5][6][7][8] has been an important tool to infer information about these systems for decades. In this reaction, one or several nucleons are transferred between the projectile and target.…”

Section: Introductionmentioning

confidence: 99%

“…In this reaction, one or several nucleons are transferred between the projectile and target. Because those nucleons populate the valence states of the nucleus, transfer is useful in the analysis of the single-particle structure of nuclei [3,4,[8][9][10][11]. It is therefore particularly well suited to study halo nuclei [6,[10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Systematic analysis of the peripherality of the Be10(d,p)Be11 transfer reaction and extraction of the asymptotic normalization

Yang

Capel

2018

Phys. Rev. C

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We reanalyze the experiment of Schmitt et al. on the 10 Be(d,p) 11 Be transfer reaction [Phys. Rev. Lett. 108, 192701 (2012)] by exploring the beam-energy and angular ranges at which the reaction is strictly peripheral. We consider the adiabatic distorted wave approximation (ADWA) to model the reaction and use a Halo-EFT description of 11 Be to systematically explore the sensitivity of our calculations to the short-range physics of the 10 Be-n wave function. We find that by selecting the data at low beam energy and forward scattering angle the calculated cross sections scale nearly perfectly with the asymptotic normalization coefficient (ANC) of the 11 Be bound states. Following these results, a comparison of our calculations with the experimental data gives a value of C 1s1/2 = 0.785 ± 0.03 fm −1/2 for the 1 2 + ground-state ANC and C 0p1/2 = 0.135 ± 0.005 fm −1/2 for the 1 2 − excited state, which are in perfect agreement with the ab initio calculations of Calci et al., who obtain C ab initio

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Systematic analysis of the peripherality of the Be10(d,p)Be11 transfer reaction and extraction of the asymptotic normalization

Yang

Capel

2018

Phys. Rev. C

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“…Some recent reviews can be found in Refs. [158,159]. An important feature of these reactions is that the angular distributions of the outgoing particles reflects the transferred orbital angular momentum with respect to the "core" or residual.…”

Section: 1 Transfer Reactionsmentioning

confidence: 99%

“…Note that as only the modulus squared of the two S-matrices are needed for the stripping component [Eq. (159)], then only the imaginary part of the eikonal phase, and hence, the imaginary optical potentials are needed. However the real parts are needed for the diffractive part, but this component is typically much smaller [191].…”

Section: Heavy-ion Knockout Reactionsmentioning

confidence: 99%

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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Linking Nuclear Reactions and Nuclear Structure to Study Exotic Nuclei Using the Dispersive Optical Model

Dickhoff

2020

Compound-Nuclear Reactions

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Nucleon transfer reactions with radioactive beams

Cited by 33 publications

References 172 publications

Systematic analysis of the peripherality of the Be10(d,p)Be11 transfer reaction and extraction of the asymptotic normalization

Systematic analysis of the peripherality of the Be10(d,p)Be11 transfer reaction and extraction of the asymptotic normalization

Recent developments for the optical model of nuclei

Linking Nuclear Reactions and Nuclear Structure to Study Exotic Nuclei Using the Dispersive Optical Model

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