Three-body properties of low-lying<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>12</mml:mn></mml:msup></mml:math>Be resonances

Garrido, E.; Jensen, A. S.; Fedorov, D. V.; Johansen, Jacob

doi:10.1103/physrevc.86.024310

Cited by 18 publications

(61 citation statements)

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“…[2,3], we considered three-body 0 ± , 1 − , and 2 + states and suggested the most natural spinparity assignments of both bound states (0 + , 2 + , 1 − , 0 + ) and the two resonances (0 + , 1 − ). In addition, we suggested another higher-lying 2 + resonance and a signal of a 0 − structure immediately above the one-neutron threshold.…”

Section: -1mentioning

confidence: 99%

“…Our suggested assignments of 0 + and 1 − are based on structure calculations in a three-body model with two neutrons and a 10 Be core [2]. This model was successfully used to describe the four known bound states [3], and it suggested that a 0 − structure should exist [4].…”

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confidence: 99%

“…1 where we show the lowest adiabatic potentials (obtained with the method and two-body interactions described in Ref. [2]) for the 3 − [ Fig. 1(a)] and 4 + [ Fig.…”

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We suggested that the two resonances at 0.89 and 2.03 MeV above the two-neutron separation threshold have spins and parities of 0 + and 1 − . In the Comment, Fortune claims that these states almost unambiguously must be 3 − and 4 + states. We work in three-body cluster models with J π = 0 + , 1 − , 2 + where all three-body continuum structures are included. Fortune bases his assignments on the bound-state shell-model and (t,p) calculations. Our conclusions are from three-body structure results including widths. Assignments as 0 + and 1 − (or, perhaps, 3 − ) resonances are the most natural within the three-body cluster model.

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“…(6) and stated in Ref. [19], the computed cross sections should be obtained in close analogy to the experimental setup, where only a finite range of final relative energies is measured, usually around a resonance in the final system. This means that the integral over E has to be performed only over this precise energy range.…”

Section: Cross Section Expressionsmentioning

confidence: 99%

“…Therefore, the question arises about a possible rotational (or in general collective) character for a sequence of continuum states of considerable width. This problem was recently investigated in previous works [19][20][21]. This was done by computation of the electric quadrupole cross sections for bremsstrahlung emission after transitions between the 8 Be states, which were described as two-body systems made of two alpha particles.…”

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Three-body bremsstrahlung and the rotational character of theC12spectrum

2015

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The electric quadrupole transitions between 0 + , 2 + , and 4 + states in 12 C are investigated in a 3α model. The three-body wave functions are obtained by means of the hyperspherical adiabatic expansion method, and the continuum is discretized by imposing a box boundary condition. Corresponding expressions for the continuum three-body (3α) bremsstrahlung and photon dissociation cross sections are derived and computed for two different α-α potentials. The available experimental energy dependence is reproduced and a series of other cross sections are predicted. The transition strengths are defined and derived from the cross sections, and compared to schematic rotational model predictions. The computed properties of the 12 C resonances suggest that the two lowest bands are made, respectively, by the states {0 For the second band, the transitions are also consistent with a rotational pattern, but with the three alphas in an aligned arrangement.

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Techniques to Treat the Continuum Applied to Electromagnetic Transitions in 8Be

2014

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Bremsstrahlung emission in collisions between charged nuclei is equivalent to nuclear gamma decay between continuum states. The way the continuum spectrum can be treated is not unique, and efficiency and accuracy of cross section calculations depend on the chosen method. In this work we describe, relate, and compare three different methods in practical calculations of inelastic cross sections, that is, by (i) treating the initial and final states as pure continuum states on the real energy axis, (ii) discretizing the continuum states on the real energy axis with a box boundary condition, and (iii) complex rotation of the hamiltonian (complex scaling method). The electric quadrupole transitions, 2 + → 0 + and 4 + → 2 + , in α + α scattering are taken as an illustration.Keywords First keyword · Second keyword · More IntroductionThe emission of bremsstrahlung in a collision between two charged particles constitutes an important background effect in Coulomb deexcitation processes. In a classical picture, this phenomenon is understood as the energy radiated due to the deceleration of a charged particle when deflected by another charged particle. The radiated energy is just the kinetic energy lost in the deceleration process. In a quantum mechanical picture, the process can be seen as the γ-emission due to the decay of a two-body system from some two-body continuum state into another continuum state of lower energy. A detailed derivation of the cross section for this kind of processes can be found in [1].The fact that these transitions involve continuum structures, both in the initial and final states, introduce technical as well as conceptual difficulties in the calculations. First, the treatment of the continuum spectrum itself, which can be handled in different ways, but in numerical studies almost necessarily by some kind of discretization. Second, the unavoidable matrix elements between the continuum states involved in the calculation are diverging and thus not well defined without some regularization prescription. These two problems, how to treat the continuum and how to obtain converged results, are possible sources of uncertainty that deserves detailed investigations.Different methods were previously used to compute the bremsstrahlung cross sections for various combinations of nuclei. In [2] α − α collisions were investigated in connection with the resonant electric

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Three-body properties of low-lying12Be resonances

Cited by 18 publications

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Three-body bremsstrahlung and the rotational character of theC12spectrum

Techniques to Treat the Continuum Applied to Electromagnetic Transitions in 8Be

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