Determination of Radiative Transition Widths of Excited States in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

Crannell, H.; Griffy, T. A.

doi:10.1103/physrev.136.b1580

Cited by 74 publications

(22 citation statements)

References 13 publications

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“…(Color online) The elastic C0 form factor for the ground state of 12 C. As the model space increases, the form factor moves further out in q, and the dominant higher shell terms add destructively to the predicted charge radius. Experimental data were taken from Refs [21][22][23][24]…”

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confidence: 99%

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Structure of the particle-hole amplitudes in no-core shell model wave functions

Hayes

Kwiatkowski

2010

Phys. Rev. C

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We study the structure of the no-core shell model wave functions for 6 Li and 12 C by investigating the ground state and first excited state electron scattering charge form factors. In both nuclei, large particle-hole (ph) amplitudes in the wave functions appear with the opposite sign to that needed to reproduce the shape of the (e, e ) form factors, the charge radii, and the B(E2) values for the lowest two states. The difference in sign appears to arise mainly from the monopole hω = 2 matrix elements of the kinetic and potential energy (T + V ) that transform under the harmonic oscillator SU(3) symmetries as (λ, µ) = (2, 0). These are difficult to determine self-consistently, but they have a strong effect on the structure of the low-lying states and on the giant monopole and quadrupole resonances. The Lee-Suzuki transformation, used to account for the restricted nature of the space in terms of an effective interaction, introduces large higher-order hω = n, n >2, ph amplitudes in the wave functions. The latter ph excitations aggravate the disagreement between the experimental and predicted (e, e ) form factors with increasing model spaces, especially at high momentum transfers. For sufficiently large model spaces, the situation begins to resolve itself for 6 Li, but the convergence is slow. A prescription to constrain the ph excitations would likely accelerate convergence of the calculations.

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confidence: 99%

“…(Color online) The C2 matrix element for the 4.44 MeV(2 + T = 0) state in 12 C. The effect of using a three-body interaction (AV8 + TM) is small. Experimental data were taken from Refs [21][22][23][24]…”

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confidence: 99%

Structure of the particle-hole amplitudes in no-core shell model wave functions

Hayes

Kwiatkowski

2010

Phys. Rev. C

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“…6 we show the 0 r --, 2[ inelastic form factor. The agreement with the experimental points [49][50][51] is quite good up to q ~ 2.7 fm-i. The c~-particle model gives a better description of this transition than a particle-hole (RPA) model [53] of excitations of I2C.…”

Section: Elastic and Inelastic Form Factorsmentioning

confidence: 50%

“…5. The calculated curves are shifted to the left with respect to the experimental points [49][50][51][52]. This shift is also observed in the s-particle model calculations of Vallieres et al [25] and the c~-cluster calculations of Takigawa and Arima [3].…”

Section: Elastic and Inelastic Form Factorsmentioning

confidence: 58%

Three-alpha force and the 3-? model of12C

Portilho

Coon

1979

Z Physik A

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We postulate a Gaussian three-body potential among c~ particles and adjust its parameters so that, when it is added to the Ali-Bodmer c~-~ potential, a good fit to experimental energies of low-lying 0 + and 2 + states of 12C is achieved. With these potentials we made a linear variational calculation in a basis of harmonic oscillator functions which are translationally invariant, completely symmetric, and have a definite orbital angular momentum. We study the influence of this three-body potential on elastic and inelastic form factors, transition widths, Coulomb energy and charge radius of the 3-~ system. The 3-c~ potential improved results found with the Ali-Bodmer potential alone. We find the 0 + state to be a (non-rigid) linear chain and the ground state to be a triangle of c~ particles.

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“…The only absolute quantity in Eq. (1) is Γ π ðE0Þ, which has been measured 8 times [12][13][14][15][16][17][18][19]. The two most recent measurements [18,19] are the most precise; however, they disagree by more than 5σ.…”

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confidence: 99%

Radiative Width of the Hoyle State from γ -Ray Spectroscopy

et al. 2020

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The cascading 3.21 and 4.44 MeV electric quadrupole transitions have been observed from the Hoyle state at 7.65 MeV excitation energy in 12 C, excited by the 12 Cðp; p 0 Þ reaction at 10.7 MeV proton energy. From the proton-γ-γ triple coincidence data, a value of Γ rad =Γ ¼ 6.2ð6Þ × 10 −4 was obtained for the radiative branching ratio. Using our results, together with Γ E0 π =Γ from Eriksen et al. [Phys. Rev. C 102, 024320 (2020)] and the currently adopted Γ π ðE0Þ values, the radiative width of the Hoyle state is determined as Γ rad ¼ 5.1ð6Þ × 10 −3 eV. This value is about 34% higher than the currently adopted value and will impact models of stellar evolution and nucleosynthesis.

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Determination of Radiative Transition Widths of Excited States inC12

Cited by 74 publications

References 13 publications

Structure of the particle-hole amplitudes in no-core shell model wave functions

Structure of the particle-hole amplitudes in no-core shell model wave functions

Three-alpha force and the 3-? model of12C

Radiative Width of the Hoyle State from γ -Ray Spectroscopy

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