Four-body resonances of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>7</mml:mn></mml:msup></mml:math>B using the complex scaling method

Myo, Takayuki; Kikuchi, Yoshihiro; Katō, Kiyoshi

doi:10.1103/physrevc.84.064306

Cited by 29 publications

(79 citation statements)

References 49 publications

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“…It is found that the present calculations agree with the observed energy levels. We, furthermore, predict many resonances for 6 Be, 7 B, and 8 C. In the previous analysis [14], we discussed the structures of 6 Be and 7 B in detail, such as the spatial properties of extra protons, the configurations and the mirror symmetry. It was found that the 6 Be structures are similar to those of a mirror nucleus 6 He.…”

Section: Resultsmentioning

confidence: 99%

“…In COSM, the asymptotic boundary condition of the wave functions for proton emissions is correctly described [14,27,38]. For 8 C, all the channels of 8 C, 7 B + p, 6 Be + 2p, 5 Li + 3p, and 4 He + 4p are automatically included in the total wave function J in Eq.…”

Section: Complex-scaled Cosmmentioning

confidence: 99%

“…This study is the extension of the previous one of 7 B with the 4 He + 3p model [14]. We concentrate on the 0 + states of 8 C and discuss the structure differences between the ground and the excited states.…”

Section: Introductionmentioning

confidence: 99%

“…In this sense, the mirror symmetry in unstable nuclei can be related to the coupling behavior to the open channels. In the previous analyses of 7 B and 7 He with the 4 He + N + N + N model [14], we discussed the mirror symmetry in two nuclei. It is found that breaking of the mirror symmetry is occurred in their ground states with respect to the amount of the mixing of 2 + states of A = 6 subsystems, while their excited states retain the symmetry well.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, it is important to reproduce the threshold energies of subsystems for particle decays, namely the positions of open channels. Emphasizing these theoretical conditions, in this study, we employ the cluster orbital shell model (COSM) [14,[20][21][22][23][24] of the 4 He + 4p five-body system. In COSM, the effects of all open channels are taken into account explicitly [22] so we can treat the many-body decaying phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Five-body resonances of8C using the complex scaling method

2012

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We study the resonance spectroscopy of the proton-rich nucleus 8 C in the α + p + p + p + p cluster model. Many-body resonances are treated on the correct boundary condition as the Gamow states using the complex scaling method. We obtain the ground state of 8 C as a five-body resonance for the first time, which has dominantly the subclosed (p 3/2 ) 4 configuration and agrees with the recent experiment for energy and decay width. We predict the second 0 + state with the excitation energy of 5.6 MeV, which corresponds to the 2p2h state from the ground state. We evaluate the occupation numbers of four valence-protons in the 8 C states and also the J π distribution of proton-pair numbers of the two 0 + states of 8 C. The ground state involves a large amount of the 2 + proton-pair fraction, while the excited 0 + 2 state almost consists of two of the 0 + proton pairs, which can be understood from the (p 3/2 ) 2 (p 1/2 ) 2 configuration. We also discuss the mirror symmetry between 8 C and 8 He with an α+four nucleon picture. It is found that the 0 + states retain the mirror symmetry well for the configuration properties of two nuclei.

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Section: Resultsmentioning

confidence: 99%

Section: Complex-scaled Cosmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Five-body resonances of8C using the complex scaling method

2012

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Five-body resonances of 8He using the complex scaling method

2010

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The 0+ states of 8He are studied in a five-body 4He+n+n+n+n cluster model. Many-body resonances are treated on the correct boundary condition as Gamow states using the complex scaling method. The 0+_2 state of 8He is predicted as a five-body resonance in the excitation energy of 6.3 MeV with a width of 3.2 MeV, which mainly has a (p_{3/2})^2(p_{1/2})^2 configuration. In this state, number of the 0+ neuron pair shows almost two, which is different from the ground state having a large amount of the 2+ pair component. The monopole transition of 8He from the ground state into the five-body unbound states is also evaluated. It is found that the 7He+n component mostly exhausts the strength, while the 0+_2 contribution is negligible. The final states are dominated by 6He+n+n, not 4He+n+n+n+n. The results indicate the sequential breakup process of 8He to 7He+n to 6He+n+n by the monopole excitation.Comment: 6 pages, 6 figures, table I is updated for the experimental value

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Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system

et al. 2017

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We study the tensor-optimized antisymmetrized molecular dynamics (TOAMD) as a successive variational method in many-body systems with strong interaction for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion and their multiples are operated to the AMD state as the variational wave function. The total wave function is expressed as the sum of all the components and the variational space can be increased successively with the multiple correlation functions to achieve convergence. All the necessary matrix elements of manybody operators, consisting of the multiple correlation functions and the Hamiltonian, are expressed analytically using the Gaussian integral formula. In this paper we show the results of TOAMD with up to the double products of the correlation functions for the s-shell nuclei, 3 H and 4 He, using the nucleon-nucleon interaction AV8 ′ . It is found that the energies and Hamiltonian components of two nuclei converge rapidly with respect to the multiple of correlation functions. This result indicates the efficiency of TOAMD for the power series expansion in terms of the tensor and short-range correlation functions.

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Four-body resonances of7B using the complex scaling method

Cited by 29 publications

References 49 publications

Five-body resonances of8C using the complex scaling method

Five-body resonances of8C using the complex scaling method

Five-body resonances of 8He using the complex scaling method

Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system

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