Novel and simple description for a smooth transition from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>-cluster wave functions to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:math>-coupling shell model wave functions

Suhara, Tadahiro; Itagaki, N.; Cseh, J.; Płoszajczak, M.

doi:10.1103/physrevc.87.054334

Cited by 40 publications

(52 citation statements)

References 43 publications

(101 reference statements)

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“…[32,33]. In this method, the single particle wave function is described by a Gaussian wave packet in the same manner as in the BB wave function Eq.…”

Section: A Wave Functionmentioning

confidence: 99%

Effects ofα-cluster breaking on3α-cluster structures inC12

Suhara

Kanada-En’yo

2015

Phys. Rev. C

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To clarify the effects of α-cluster breaking on 3α-cluster structures in 12 C, we investigate 12 C using a hybrid model that combines the Brink-Bloch cluster model with the p 3/2 subshell closure wave function. We have found that α-cluster breaking caused by spin-orbit force significantly changes cluster structures of excited 0 + states through orthogonality to lower states. Spatially developed cluster components of the 0 2 + state are reduced. The 0 3 + state changes from a vibration mode in the bending motion of three α clusters to a chainlike 3α structure having an open triangle configuration. As a result of these structure changes of 0 + states, the band assignment for the 2 2 + state is changed by the α-cluster breaking effect. Namely, in model calculations without the α-cluster breaking effect, the 0 2 + state is assigned to be the band-head of the 2 2 + state. However, when we incorporate α-cluster breaking caused by the spin-orbit force, the 0 3 + state is regarded as the bandhead of the 2 2 + state.

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“…[32,33]. In this method, the single particle wave function is described by a Gaussian wave packet in the same manner as in the BB wave function Eq.…”

Section: A Wave Functionmentioning

confidence: 99%

Effects ofα-cluster breaking on3α-cluster structures inC12

Suhara

Kanada-En’yo

2015

Phys. Rev. C

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“…The ket state is the wave function of 28 Si calculated by AMD. Here, Φ12 C and Φ16 O are the (0s) 4 (0p 3/2 ) 8 [18] and (0s) 4 (0p) 12 configurations of the harmonic oscillator potential, respectively. In practical calculation, Eq.…”

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confidence: 99%

C12+16O molecular resonances at deep sub-barrier energy

Taniguchi

Kimura

2020

Physics Letters B

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The existence of 12 C + 16 O molecular resonances at sub-barrier energy has been a significant problem in nuclear astrophysics because they strongly affect the 12 C + 16 O fusion reaction rate in type Ia supernovae and heavy stars. However, experimental surveys have been limited to 4 MeV and cannot access the deep sub-barrier energy due to a very small fusion cross section. Here we predict a couple of resonances with J π = 0 + , 2 + , and 4 + in the deep sub-barrier energy based on the antisymmetrized molecular dynamics calculation that reproduces the known resonances and low-lying spectrum of 28 Si.

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“…2 as a function of number of basis states. Here iSMT is a linear combination of 21 GCM basis states; the basis state "1" is (0s) 4 configuration, and in 2-11 (12)(13)(14)(15)(16)(17)(18)(19)(20)(21), the imaginary part of the Gaussian center parameters for the spin-up proton and spin-down (spinup) neutron are shifted as in Eq. 17 (Eq.…”

Section: A 4 Hementioning

confidence: 99%

Improved version of a simplified method for including tensor effects in cluster models

Itagaki

Tohsaki

2018

Phys. Rev. C

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The tensor contribution can be directly incorporated in the cluster model in a simplified way. In conventional α cluster models, the contribution of the non-central interactions exactly cancels because of the antisymmetrization effect and spatial symmetry of α clusters. The mixing of breaking components of α clusters to take into account the spin-orbit and tensor effects is needed. Previously we proposed a simplified method to include the spin-orbit effect, and also for the tensor part, a simplified model to directly take into account the contribution of the tensor interaction (called SMT) was introduced; however the contribution of the tensor interaction was quite limited. Here we improve SMT, which is called iSMT. Using newly proposed iSMT, the contribution of the tensor interaction in 4 He is more than −40 MeV, four times larger than the previous version. The method is applied to four-α cluster structure of 16 O. In 16 O, the tensor contribution is also large, and this is coming from the finite size effect for the distances among α clusters with a tetrahedral configuration.

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Novel and simple description for a smooth transition fromα-cluster wave functions tojj-coupling shell model wave functions

Cited by 40 publications

References 43 publications

Effects ofα-cluster breaking on3α-cluster structures inC12

Effects ofα-cluster breaking on3α-cluster structures inC12

C12+16O molecular resonances at deep sub-barrier energy

Improved version of a simplified method for including tensor effects in cluster models

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