Folding-model analysis of inelastic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>α</mml:mi><mml:msup><mml:mo>+</mml:mo><mml:mn>12</mml:mn></mml:msup></mml:mrow></mml:math>C scattering at medium energies, and the isoscalar transition strengths of the cluster states of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow /><mml:mn>12</mml:mn></mml:msup></mml:math>C

Cuong, Do Cong; Khoa, Dao T.; Kanada-En’yo, Yoshiko

doi:10.1103/physrevc.88.064317

Cited by 16 publications

(25 citation statements)

References 49 publications

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“…[8]; (d) Ref. [11] as ordinary bound states with complex energy, whose real and imaginary parts give the resonance energy and half the width of the resonance, respectively. In order to reproduce the known experimental energies in the 12 C-spectrum a fine tuning with a short-range three-body force is required.…”

Section: The Three-alpha Systemmentioning

confidence: 99%

Rotational character of the¹²Cspectrum investigated through inelastic cross sections via photon emission

Garrido

Jensen

Fedorov

2016

EPJ Web of Conferences

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Abstract. In this work the bremsstrahlung and photon dissociation cross sections for transitions between 0 + , 2 + , and 4 + states in 12 C are computed. The nucleus is described within the three-alpha model, and the wave functions are computed by means of the hyperspherical adiabatic expansion method. The continuum states are discretized by imposing a box boundary condition. The transition strengths are obtained from the cross sections, and compared to schematic rotational model predictions. The computed results strongly suggest that the two lowest bands are made, respectively, by the states with angular momentum and parity {0The transitions between the states in the first band are consistent with the rotational pattern corresponding to three alphas in an equilateral triangular structure. For the second band, the transitions are also consistent with a rotational pattern, but with the three alphas in an aligned distribution.

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Section: The Three-alpha Systemmentioning

confidence: 99%

Rotational character of the¹²Cspectrum investigated through inelastic cross sections via photon emission

Garrido

Jensen

Fedorov

2016

EPJ Web of Conferences

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“…This means that the constituent particles are inert α particles, and the interparticle nucleonic Pauli principle will be accounted for without use of the intrinsic microscopic structure. This model, used throughout this paper, can naturally be referred to as an α-particle model, in contrast to microscopic α-cluster models where the intrinsic nucleonic composition of the α particle is the basic ingredient [12,14]. This procedure follows very closely the one described and tested in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, the known 4 + resonance is usually found to be the 4 + 2 state, and a first resonance at a lower energy is often obtained (for instance, at 11 MeV in Ref. [14] or 10.5 MeV in Ref. [10]).…”

Section: Introductionmentioning

confidence: 99%

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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“…1). Given a very strong E2 transition between the Hoyle state and 2 + 2 state predicted by the AMD calculation [13], the two-step process 8 Be…”

mentioning

confidence: 99%

“…The AMD was proven to deliver a realistic description of the α-cluster states in the light nuclei, and the AMD results for the excitation energies and Eλ transition strengths of the excited 2 12 C predicted by the AMD calculation [13] naturally imply that the coupled channel (CC) effects in the inelastic α+ 12 C scattering should be significant. In the (α, α ) experiments at E α = 240 [14] and 386 MeV [10] with the 12 C target, the (α, α ) cross sections were measured accurately in small energy bins over a wide range of scattering angles and excitation energies.…”

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confidence: 99%

The 2⁺excitation of the Hoyle state

Khoa

Cuong

Kanada-En’yo³

2016

EPJ Web of Conferences

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Abstract. To understand why the 2 + excitation of the Hoyle state was so difficult to observe in the direct reaction experiments with the 12 C target, a detailed folding model + coupled-channel analysis of the inelastic α+ 12 C scattering at E lab = 240 and 386 MeV has been done using the complex optical potential and inelastic scattering form factor obtained from the double-folding model using the nuclear transition densities predicted by the antisymmetrized molecular dynamics. With the complex strength of the density dependent nucleon-nucleon interaction fixed by the optical model description of the elastic α+ 12 C scattering, the inelastic scattering form factor was fine tuned to the best coupled-channel description of the (α, α ) cross section measured for each excited state of 12 C, and the corresponding isoscalar Eλ transition strength has been accurately determined. The present analysis of the (α, α ) data measured in the energy bins around E x ≈ 10 MeV has unambiguously revealed the E2 transition strength that should be assigned to the 2 + 2 state of 12 C. A very weak transition strength B(E2; 02 fm 4 has been established, which is smaller than the E2 strength predicted for the transition from the Hoyle state to the 2 + 2 state by at least two orders of magnitude. This is one of the main reasons why the direct excitation of the 2 + 2 state of 12 C has been difficult to observe in the experiments.

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Folding-model analysis of inelasticα+12C scattering at medium energies, and the isoscalar transition strengths of the cluster states of12C

Cited by 16 publications

References 49 publications

Rotational character of the¹²Cspectrum investigated through inelastic cross sections via photon emission

Rotational character of the¹²Cspectrum investigated through inelastic cross sections via photon emission

Three-body bremsstrahlung and the rotational character of theC12spectrum

The 2⁺excitation of the Hoyle state

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Folding-model analysis of inelasticα+12C scattering at medium energies, and the isoscalar transition strengths of the cluster states of12C

Cited by 16 publications

References 49 publications

Rotational character of the12Cspectrum investigated through inelastic cross sections via photon emission

Rotational character of the12Cspectrum investigated through inelastic cross sections via photon emission

Three-body bremsstrahlung and the rotational character of theC12spectrum

The 2+excitation of the Hoyle state

Contact Info

Product

Resources

About

Rotational character of the¹²Cspectrum investigated through inelastic cross sections via photon emission

Rotational character of the¹²Cspectrum investigated through inelastic cross sections via photon emission

The 2⁺excitation of the Hoyle state