Capture reactions into Borromean two-proton systems at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>r</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math>waiting points

Hove, D.; Jensen, A. S.; Fynbo, H. O. U.; Zinner, N. T.; Fedorov, D. V.; Garrido, E.

doi:10.1103/physrevc.93.024601

Cited by 10 publications

(23 citation statements)

References 47 publications

(80 reference statements)

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“…Clearly the desired detailed description requires a three-body model which is available and even applied to the present processes [28,29]. However, the crucial proton-core potentials have so-far been chosen phe-nomenologically to produce the essentially unknown, but crucial, single-particle energies.…”

Section: Introductionmentioning

confidence: 99%

Two-proton capture on the 68Se nucleus with a new self-consistent cluster model

et al. 2018

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We investigate the two-proton capture reaction of the prominent rapid proton capture waiting point nucleus, 68 Se, that produces the borromean nucleus 70 Kr ( 68 Se+p + p). We apply a recently formulated general model where the core nucleus, 68 Se, is treated in the mean-field approximation and the three-body problem of the two valence protons and the core is solved exactly. The same Skyrme interaction is used to find core-nucleon and core valence-proton interactions. We calculate E2 electromagnetic two-proton dissociation and capture cross sections, and derive the temperature dependent capture rates. We vary the unknown 2 + resonance energy without changing any of the structures computed self-consistently for both core and valence particles. We find rates increasing quickly with temperature below 2 − 4 GK after which we find rates varying by less than a factor of two independent of 2 + resonance energy. The capture mechanism is sequential through the f 5/2 proton-core resonance, but the continuum background contributes significantly.

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Section: Introductionmentioning

confidence: 99%

Two-proton capture on the 68Se nucleus with a new self-consistent cluster model

et al. 2018

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“…Finally, we conclude that quasiclassical approximation for single channel is quite precise, but the reduction to one-channel approximation leads to significant overestimation of the three-body width. We think that in the view of our results all the three-body width calculations in the papers [3,4,5,6,7,8,9,10] should be questioned and applicability of the quasiclassical formalism in this case reexamined in general.…”

Section: Resultsmentioning

confidence: 72%

“…For width calculations the lowest-energy branch of the adiabatic potential is taken. Although this procedure was used in numerous works [3,4,5,6,7,8,9,10], it has never been justified theoretically and was just accepted as a reasonable approach.…”

Section: Hyperspherical Adiabatic Expansion Methodsmentioning

confidence: 99%

“…Although this procedure was used in numerous works [3,4,5,6,7,8,9,10], it has never been justified theoretically and was just accepted as a reasonable approach.…”

Section: Hyperspherical Adiabatic Expansion Methodsmentioning

confidence: 99%

“…The formalism of the Gamow type has been repeatedly used in recent years for the determination of three-body decay widths [3,4,5,6,7,8,9,10]. In this work, we examine the validity of the Gamow-type approximation by the example of the width of the first excited 3/2 − state of 17 Ne [3,6].…”

Section: Introductionmentioning

confidence: 99%

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Validity of Quasi-classical Approaches to True Three-Body Decays

Sukhareva

Grigorenko

Kostyleva

et al. 2020

Recent Progress in Few-Body Physics

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Within the hyperspherical harmonics approach the three-body problem is reduced to a motion of one effective particle in a "strongly deformed" field, which is described in coupled-channel formalism. This method is especially suited to studies of phenomena characterized by genuine three-body dynamics, e.g. Borromean haloes and true three-body decays. The reduction of the hyperspherical equations set to a single-channel Schrödinger equation provides the basis for the use of the standard quasiclassical expression for calculations of widths for true three-body decays. We demonstrate that the quasiclassical approach by itself is quite precise in application to typical profiles of the three-body effective potentials. However, the reduction to single-channel formalism leads to significant overestimation of the two-proton width Γ 2p . This is demonstrated by the example of the 17 Ne first excited 3/2 − state decay, questioning, however, the applicability of such an approximation in general.

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Structure and Decay at Rapid Proton Capture Waiting Points

Hove

Garrido²,

Jensen

et al. 2016

Few-Body Syst

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We investigate the region of the nuclear chart around A 70 from a three-body perspective, where we compute reaction rates for the radiative capture of two protons. One key quantity is here the photon dissociation cross section for the inverse process where two protons are liberated from the borromean nucleus by photon bombardment. We find a number of peaks at low photon energy in this cross section where each peak is located at the energy corresponding to population of a three-body resonance. Thus, for these energies the decay or capture processes proceed through these resonances. However, the next step in the dissociation process still has the option of following several paths, that is either sequential decay by emission of one proton at a time with an intermediate two-body resonance as stepping stone, or direct decay into the continuum of both protons simultaneously. The astrophysical reaction rate is obtained by folding of the cross section as function of energy with the occupation probability for a Maxwell-Boltzmann temperature distribution. The reaction rate is then a function of temperature, and of course depending on the underlying three-body bound state and resonance structures. We show that a very simple formula at low temperature reproduces the elaborate numerically computed reaction rate.

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Capture reactions into Borromean two-proton systems atrpwaiting points

Cited by 10 publications

References 47 publications

Two-proton capture on the 68Se nucleus with a new self-consistent cluster model

Two-proton capture on the 68Se nucleus with a new self-consistent cluster model

Validity of Quasi-classical Approaches to True Three-Body Decays

Structure and Decay at Rapid Proton Capture Waiting Points

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