The Third Generation of Nuclear Physics with the Microscopic Cluster Model

Langanke, K.

doi:10.1007/978-1-4615-2405-2_2

Cited by 41 publications

(28 citation statements)

References 167 publications

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“…Aside from the astrophysical interest, the 2 H(d, γ) 4 He capture reaction is extremely important from the nuclear physics viewpoint because its cross section at low energies (below 0.3 MeV) is expected to be dominated by D-wave components in the α particle. Hence it should be very sensitive to the tensor force in the NN interaction [56,15,57].…”

Section: Pos(xxxiv Bwnp)008mentioning

confidence: 99%

Theoretical models in nuclearastrophysics

Descouvemont¹

2012

Proceedings of XXXIV Edition of the Brazilian Workshop on Nuclear Physics — PoS(XXXIV BWNP)

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Section: Pos(xxxiv Bwnp)008mentioning

confidence: 99%

Theoretical models in nuclearastrophysics

Descouvemont¹

2012

Proceedings of XXXIV Edition of the Brazilian Workshop on Nuclear Physics — PoS(XXXIV BWNP)

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“…This means that even at very low projectile energies many reaction channels are open and the level densities in the compound nuclei 8 Be and 12 C are relatively high. Therefore, microscopic reaction theories, such as the resonating group theory [3,4], generally being very successful in the description of low-energy nuclear reactions on light nuclei, cannot be applied here. Within those theories, any truncation of the number of reaction channels or of excited states leads inevitably to a not predicable, imaginary scattering potential and consequently to an uncertainty as well in the absolute value of the cross section as in the course of the excitation function.…”

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confidence: 99%

Coherent resonance contributions in the reactionsLi6(d,α)He4

et al. 2004

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The angular distribution of the reaction 6 Li͑d , ␣͒ 4 He at deuteron energies below 100 keV and the total cross section as well as the angular distribution of the reaction 10 B͑d , p 0 ͒ 11 B at energies below 350 keV have been measured. Based on our experimental results and data of other authors, the reaction mechanism has been studied in a wide energy range, relevant for astrophysical applications. It has been found that in both cases broad resonances in the compound nuclei play the key role for the description of the excitation functions. The long-standing problems of describing the angular distributions could be solved for both reactions by assuming a coherent superposition between resonant and direct reaction amplitudes. A theoretical approach allowing for coherent calculations has been developed. Some astrophysical implications are discussed.

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“…In this Letter we present ab initio cross section calculations for the radiative capture process, 2 H(d,γ) 4 He, and the transfer reactions 2 H(d,p) 3 H and 2 H(d,n) 3 He. These precise four-nucleon microscopic calculations of the three reactions simultaneously allow us to emphasize the influence of the tensor force not only on the capture reaction [4][5][6][7] but also on the two transfer reactions.We have recently applied a multi-channel microscopic cluster model to study the phase shifts of the p+h [14] and d+d, p+t, n+h [15] scatterings. This model combines the stochastic variational method (SVM) [16,17] with the microscopic R-matrix method (MRM) [18].…”

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“…However, the four-body 2 H(d, γ) 4 He reaction offers a direct manifestation of the tensor force because its cross section at low energies is affected by D-wave components in the relevant wave functions and hence is very sensitive to the tensor component in the NN interaction [4][5][6][7]. Indeed, the energy dependence of its cross section at very low energies can only be explained by the fact that the capture proceeds from an initial s wave, i.e.…”

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Tensor Force Manifestations in ab Initio Study of the 2H(d, γ)4He, 2H(d, p)3H, and 2H(d, n)3He Reactions

et al. 2013

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He reactions are studied at low energies in a multichannel ab initio model that takes into account the distortions of the nuclei. The internal wave functions of these nuclei are given by the stochastic variational method with the AV8 ′ realistic interaction and a phenomenological three-body force included to reproduce the two-body thresholds. The obtained astrophysical S-factors are all in very good agreement with experiment. The most important channels for both transfer and radiative capture are identified by comparing to calculations with an effective central force. They are all found to dominate thanks to the tensor force.PACS numbers: 21.60.De, 27.10.+h, 26.20.Cd The non-vanishing value of the quadrupole moment of the deuteron [1] is the best direct evidence for the existence of a tensor force [2]. The deformation of the deuteron indicates that nucleon-nucleon (NN) forces can not be purely central but must mix S and D components in wave functions. The confirmation of the existence of a tensor component depending on the direction of the total spin of the two nucleons was a further success of Yukawa's meson theory. Taking correctly the tensor force into account and evaluating its influence are among the main challenges of nuclear physics. The tensor force is known to give an important attractive contribution to the binding energies of nuclei but this can only be seen through complicated calculations. The role of the tensor force, among others, is stressed in relation to the evolution of nuclear spectra in light nuclei in Ref. [3].The role of the tensor force is even more difficult to disentangle in reactions. However, the four-body 2 H(d, γ)4 He reaction offers a direct manifestation of the tensor force because its cross section at low energies is affected by D-wave components in the relevant wave functions and hence is very sensitive to the tensor component in the NN interaction [4][5][6][7]. Indeed, the energy dependence of its cross section at very low energies can only be explained by the fact that the capture proceeds from an initial s wave, i.e. without centrifugal barrier. However such a transition to the 0 + 4 He ground state is not possible without D components. As we shall see, the same manifestation of the tensor force occurs in the reactions 2 H(d, p) 3 H and 2 H(d, n) 3 He, although in a less simple way.The d+d reactions have been studied at very low energies for astrophysical reasons. Indeed, according to the * arai@nagaoka-ct. He might also have an effect on the abundances of primordial elements. The knowledge of the reaction cross sections at the energies of astrophysical relevance is of great interest not only for establishing imprints of the properties of nuclei in the universe but also for a detailed understanding of the interplay between the structure and reactions of these nuclei.Because of the complexity of the NN interaction, ab initio studies on scattering and reactions have first been limited mostly to three-nucleon systems [8]. It is only recently that several approaches, e.g. Gre...

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The Third Generation of Nuclear Physics with the Microscopic Cluster Model

Cited by 41 publications

References 167 publications

Theoretical models in nuclearastrophysics

Theoretical models in nuclearastrophysics

Coherent resonance contributions in the reactionsLi6(d,α)He4

Tensor Force Manifestations in ab Initio Study of the 2H(d, γ)4He, 2H(d, p)3H, and 2H(d, n)3He Reactions

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