Extended completeness relation and the strength function in the absorbing boundary condition

Iwasaki, Masataka; Otani, R.; Takenaka, Y.; Itô, Makoto

doi:10.1093/ptep/ptu179

Cited by 13 publications

(5 citation statements)

References 28 publications

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“…The coupling potential of 14 C(0 + ) → 14 C(2 + ) is constructed by the differential function of thfrom DF potential with the strength of −0.2 fm. Above the α decay threshold, the absorbing boundary condition (ABC) [8] is applied to identify the resonance parameters, such as the resonance energy E R and the decay width Γ R .…”

Section: Frameworkmentioning

confidence: 99%

“…The OCM application to 18 O was done by Furutani et al but the scattering boundary condition for the unbound continuum is not considered [7]. Here we employ the OCM plus absorbing boundary condituion (ABC) [8], which is powerful tool to handle the unbound continuum, and analyze the continuum states in the mirror cluster-systems of 18 O − 18 Ne. The results in the present report are compressed from Refs.…”

Section: Introductionmentioning

confidence: 99%

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Coulomb Shift in Two-Center Cluster Systems

Nakao

Umehara

Ebata

et al. 2020

Proceedings of 13th International Conference on Nucleus-Nucleus Collisions

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Coulomb shift is analyzed for the mirror cluster systems of 18 O = α + 14 C and 18 Ne = α + 14 O by applying the orthogonality condition model (OCM). The OCM calculation clearly predicts the suppressed excitation energy of the higher 0 + states in the proton-rich system of 18 Ne. This results can be interpreted in terms of the extension of the Thomas-Ehrman shift (TES), which is discussed in 17 O = 16 O + N and 17 F = 16 O + P, to the cluster degrees of freedom.

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Section: Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coulomb Shift in Two-Center Cluster Systems

Nakao

Umehara

Ebata

et al. 2020

Proceedings of 13th International Conference on Nucleus-Nucleus Collisions

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“…(7), −iηW denotes the absorptive potential with the strength of η but it differs from the absorptive potential using in the scattering calculation. This absorptive potential is introduced to impose the absorbing boundary condition (ABC) [21] to identify the resonant states, which appears above the α threshold. In the present calculation, we employ the shifted linear function with a step function θ(x) likeW (r) = θ(r − r a )(r − r a ).…”

Section: Ocm Under the Absorbing Boundary Conditionmentioning

confidence: 99%

“…This η = 0 calculation just corresponds to the simple bound-state-approximation. On the contrary, a series of the energy spectra are distributed in a complex energy plane (open circles) when the absorbing potential is switched on (η = 0.3) [21]. There are two kinds of the split continuum levels with a boundary of the sequence of the eigenvalues parallel to the real axis.…”

Section: Ocm + Abc Calculation Formentioning

confidence: 99%

“…The DF potential, which is used for the scattering calculation, is applied to the OCM calculation with the α + 14 C and α + 14 O structures. The cluster states, which appear as the resonant state above the α threshold, are identified by imposing the absorbing boundary condition (ABC) [21]. In the calculation of OCM + ABC, we formulate a new computational technique to handle the norm kernel on the basis of the simple numerical calculation because the evaluation of the norm kernel in OCM is complicated for general cluster systems of N Z.…”

Section: Introductionmentioning

confidence: 99%

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Cluster structure and Coulomb shift in two-center mirror systems

et al. 2017

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Abstract. The α + 14 C elastic scattering and the nuclear structure of its compound systems, 18 O = α + 14 C, are analyzed on the basis of the semi-microscopic model. The α + 14 C interaction potential is constructed from the double folding (DF) model with the effective nucleon-nucleon interaction of the density-dependent Michigan 3-range Yukawa. The DF potential is applied to the α + 14 C elastic scattering in the energy range of E α /A α = 5.5 ∼ 8.8 MeV, and the observed differential cross sections are reasonably reproduced. The energy spectra of 18 O are calculated by employing the orthogonality condition model (OCM) plus the absorbing boundary condition (ABC). The OCM + ABC calculation predicts the formation of the 0 + resonance around E = 3MeV with respect to the α threshold, which seems to correspond to the 0 + 4 resonance identified in the recent experiment. We also apply the OCM + ABC calculation to the mirror system, such as 18 Ne = α + 14 O, and the Coulomb shift of 18 O − 18 Ne is evaluated. We have found that the Coulomb shift is clearly reduced in the excited 0 + state due to the development of the α cluster structure. This result strongly supports that the Coulomb shift is a candidate of new probe to identify the clustering phenomena.

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Coupled-rearrangement-channels calculation of the three-body system under the absorbing boundary condition

Iwasaki

Otani

Itô

et al. 2016

EPJ Web of Conferences

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We formulate the method of the absorbing boundary condition (ABC) in the coupled-rearrangement-channels variational method (CRCMV) for the three-body problem. In the present study, we handle the simple three-boson system, and the absorbing potential is introduced in the Jacobi coordinate in the individual rearrangement channels. The resonance parameters and the strength of the monopole breakup are compared with the complex scaling method (CSM). We have found that the CRCVM + ABC method nicely works in the threebody problem with the rearrangement channels.

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Extended completeness relation and the strength function in the absorbing boundary condition

Cited by 13 publications

References 28 publications

Coulomb Shift in Two-Center Cluster Systems

Coulomb Shift in Two-Center Cluster Systems

Cluster structure and Coulomb shift in two-center mirror systems

Coupled-rearrangement-channels calculation of the three-body system under the absorbing boundary condition

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