Determination of the Deformation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>12</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>from Electron Scattering

Nakada, Akira; Torizuka, Y.; Horikawa, Yoko

doi:10.1103/physrevlett.27.745

Cited by 91 publications

(30 citation statements)

References 4 publications

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“…The real and imaginary part of the optical potential and the Coulomb potential were expanded in multipole moments up to the 4 th order. The deformation parameters of the 2+-state are well known [13,14] : f12 = -0.60, f14 = 0.03.…”

Section: Coupled Channel Calculations Woods-saxon Potentialmentioning

confidence: 99%

Observation of the nuclear rainbow scattering for12C+12C atE Lab =300 MeV

et al. 1982

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The elastic and inelastic scattering of 12C on 12C has been measured in the angular range between 2.8 ~ and 70.4 ~ in the c.m. system at EL, b=300MeV. Optical model calculations have been performed with Woods-Saxon and folded potentials, the ground state and the first 2 § were coupled in the calculations. The large cross sections of the elastic scattering at large angles is related to the nuclear rainbow scattering, which is centered at about 56 ~ This requires a potential depth of 100 MeV at a distance of 3 fm, the fit to the data is sensitive down to this region. The calculations with the folded potential show a better agreement with the data than those with the Woods-Saxon shape. The total reaction cross section of 1,420mb, obtained from the optical model analysis, corresponds to the geometrical value; no transparency is observed.

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Section: Coupled Channel Calculations Woods-saxon Potentialmentioning

confidence: 99%

Observation of the nuclear rainbow scattering for12C+12C atE Lab =300 MeV

et al. 1982

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“…2. We also show the K quantum number of the SD and the value of the overlap, P [39][40][41][42] and the AMD calculation [43]. Here, the result of the first set of SDs in Fig.…”

Section: F Analysis For Wave Functionsmentioning

confidence: 99%

“…F p (q 2 ) is a correction factor for the proton size for which we employ F p (q 2 ) = exp(−a 2 p q 2 /6) with a p = 0.831 fm. To correct the center-of-mass motion, we simply assume that the center-of-mass motion is separated and described by the harmonic oscillator wave function of the same oscillator constant,hω = 41A [43], and crosses with error bars show experimental results [39][40][41][42]. For the elastic form factor, we also show that of Skyrme HF solution in the ground state.…”

Section: E Charge Form Factorsmentioning

confidence: 99%

Deformation and cluster structures in12C studied with configuration mixing using Skyrme interactions

et al. 2013

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We report an investigation of the structure of 12 C nucleus employing a newly developed configuration-mixing method. In the three-dimensional coordinate-space representation, we generate a number of Slater determinants with various correlated structures using the imaginary-time algorithm. We then diagonalize a many-body Hamiltonian with the Skyrme interaction in the space spanned by the Slater determinants with parity and angular momentum projections. Our calculation reasonably describes the ground and excited states of 12 C nucleus, both for shell-model-like and cluster-like states. The excitation energies and transition strengths of the ground-state rotational band are well reproduced. Negative parity excited states, 1

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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]…”

mentioning

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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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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Determination of the Deformation inC12from Electron Scattering

Cited by 91 publications

References 4 publications

Observation of the nuclear rainbow scattering for12C+12C atE Lab =300 MeV

Observation of the nuclear rainbow scattering for12C+12C atE Lab =300 MeV

Deformation and cluster structures in12C studied with configuration mixing using Skyrme interactions

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

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