Precision measurement of the 2p-1s transition in muonic 12C: Search for new muon-nucleon interactions or accurate determination of the rms nuclear charge radius

Ruckstuhl, W.; Aas, B.; Beer, W.; Beltrami, I.; Bos, K.; Goudsmit, P.F.A.; Leisi, H.J.; Strassner, G.; Vacchi, A.; Boer, F.W.N. de; Kiebele, U.; Weber, Roman

doi:10.1016/0375-9474(84)90101-5

Cited by 40 publications

(13 citation statements)

References 33 publications

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“…[16]. Using the numerical procedure of determination of E gs , E r , and R (1) , the parameters of the three-body potential for each two-body potential were determined by solving the nonlinear inverse problem of fixing the ground-and excited-state energies and the excited-state rms radius at the experimental values E gs = −7.2747 MeV, E r = 0.3795 MeV [22], and R (1) exp = 2.48 ± 0.22 fm [23,24]. At the first stage of the calculations only the one-term potential (V 1 = 0) was studied for better understanding of the dependence on the three-body potential V is lower than R (1) exp , nevertheless, Γ and M 12 are in better agreement with experiment than in the previous case.…”

Section: Resultsmentioning

confidence: 99%

Effective three-body interactions in the α-cluster model for the 12C nucleus

2005

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Properties of the lowest 0 + states of 12 C are calculated to study the role of three-body interactions in the α-cluster model. An additional short-range part of the local three-body potential is introduced to incorporate the effects beyond the α-cluster model. There is enough freedom in this potential to reproduce the experimental values of the ground-state and excited-state energies and the ground-state root-mean-square radius. The calculations reveal two principal choices of the two-body and three-body potentials. Firstly, one can adjust the potentials to obtain the width

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Section: Resultsmentioning

confidence: 99%

Effective three-body interactions in the α-cluster model for the 12C nucleus

2005

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“…The parameter α p,n = 2/3 has been fixed. The parameters a p and a n are fitted to reproduce the charge and matter radii of 12 C. The experimental charge radius 2.4829 ± 0.0019 fm [40], and the experimental matter radius 2.35 ± 0.02 fm from Refs. [41,42] have been used in our calculations, leading to a p = 1.6868 and a n = 1.5008.…”

Section: Discussionmentioning

confidence: 99%

Superhalo of C22 reexamined

et al. 2018

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An unusually large value of the 22 C matter radius, extracted by Tanaka et al. [Phys. Rev. Lett. 104, 062701 (2010)] from measured reaction cross sections, attracted great attention of scientific community. Since that time, several experimental works related to the 22 C nucleus have appeared in the literature. Some of the experimental data, measured with high accuracy, allow us to fix 22 C structure more reliably. Two limiting models reproducing 22 C nuclear structure within the three-body cluster approach, that allow us to describe all existing experimental data, are presented. The 22 C ground state, continuum structure, and geometry are obtained. With fixed 22 C wave function, the prediction for the soft dipole mode in 22 C, which is studied in the process of Coulomb fragmentation, is performed.

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“…Corresponding to the large proton separation energies of the carbon isotopes, the proton radii remain nearly constant in the range of 2.3-2.4 fm. Assuming the charge radius of the proton to be 0.85 fm, we find that the charge radii of 12,13,14 C are 2.48, 2.47 and 2.52 fm, respectively, which are compared to the experimental values [40], 2.4715, 2.4795 and 2.4962 fm. The agreement with experiment is very good.…”

Section: Density With a Slater Determinantmentioning

confidence: 97%

Erratum: Systematic analysis of reaction cross sections of carbon isotopes [Phys. Rev. C75, 044607 (2007)]

Horiuchi¹,

Suzuki²,

Abu-Ibrahim³

et al. 2007

Phys. Rev. C

138

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We systematically analyze total reaction cross sections of carbon isotopes with N = 6-16 on a 12 C target for wide range of incident energy. The intrinsic structure of the carbon isotope is described by a Slater determinant generated from a phenomenological mean-field potential, which reasonably well reproduces the ground state properties for most of the even N isotopes. We need separate studies not only for odd nuclei but also for 16 C and 22 C. The density of the carbon isotope is constructed by eliminating the effect of the center of mass motion. For the calculations of the cross sections, we take two schemes: one is the Glauber approximation, and the other is the eikonal model using a global optical potential. We find that both of the schemes successfully reproduce low and high incident energy data on the cross sections of 12 C, 13 C and 16 C on 12 C. The calculated reaction cross sections of 15 C are found to be considerably smaller than the empirical values observed at low energy. We find a consistent parameterization of the nucleon-nucleon scattering amplitude, differently from previous ones. Finally, we predict the total reaction cross section of 22 C on 12 C.

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Precision measurement of the 2p-1s transition in muonic 12C: Search for new muon-nucleon interactions or accurate determination of the rms nuclear charge radius

Cited by 40 publications

References 33 publications

Effective three-body interactions in the α-cluster model for the 12C nucleus

Effective three-body interactions in the α-cluster model for the 12C nucleus

Superhalo of C22 reexamined

Erratum: Systematic analysis of reaction cross sections of carbon isotopes [Phys. Rev. C75, 044607 (2007)]

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