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Kurokawa, Chie; Katō, Kiyoshi

doi:10.1103/physrevc.71.021301

Cited by 121 publications

(189 citation statements)

References 29 publications

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“…The low-lying resonance states of 12 C have been studied over many years both theoretically and experimentally, motivated partly by their astrophysical importance [1][2][3][4][5][6][7][8][9][10]. Surprisingly, many issues are still not really understood, e.g., the energies, angular momenta, structure, and decay properties of the resonances.…”

Section: Introductionmentioning

confidence: 99%

Momentum distributions of α particles from decaying low-lyingC12resonances

et al. 2008

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The complex scaled hyperspherical adiabatic expansion method is used to compute momentum and energy distributions of the three α particles emerging from the decay of low-lying 12 C resonances. The large distance continuum properties of the wave functions are crucial and must be accurately calculated. We discuss separately decays of natural-parity states: two 0 + , one 1 − , three 2 + , one 3 − , two 4 + , one 6 + , and one of each of unnatural parity 1− . The lowest natural-parity state of each J π decays predominantly sequentially via the 8 Be ground state, whereas other states, including unnatural-parity states, predominantly decay directly to the continuum. We present Dalitz plots and systematic detailed momentum correlations of the emerging α particles.

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Section: Introductionmentioning

confidence: 99%

Momentum distributions of α particles from decaying low-lyingC12resonances

et al. 2008

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“…However, this state may correspond to the fourth 0 + state when the resonance condition is properly treated, as discussed in Ref. [29].…”

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confidence: 99%

Linear-chain structure of three α clusters inC13

2006

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We investigate a linear-chain configuration of three α clusters with a neutron in 13 C. To characterize this configuration, an operator P is introduced, which is the sum of parity inversion operators for each proton. The states with positive expectation values for this operator are found to form a rotational band structure, and the moment of inertia agrees well with the experimentally suggested value. Allowing a small bending angle stabilizes the linear-chain configuration of three α clusters with a valence neutron, which is a hyper-deformed state. The realization of linear-chain configurations has been a long-standing objective of nuclear structure physics. However, it is difficult to stabilize this configuration in nuclear systems, which is contrary to the case in atomic systems. The linearchain structure of three α clusters was suggested nearly half a century ago [1], and the second 0 + (0 + 2 ) state of 12 C at E x = 7.65 MeV just above the three α threshold energy is a candidate for having this structure. This state is considered to have an exotic cluster structure that is analogous with the so-called mysterious 0 + state of 16 O at E x = 6.06 MeV, which has a 12 C+α cluster structure and is not completely explained by a simple shell-model picture. However, the 0 + 2 state, which plays a crucial role in the synthesis of 12 C from three 4 He nuclei in stars [2], has been proven to contain not only the linear-chain configuration but also various three α configurations by many microscopic cluster models [3]. The state is gaslike without a specific geometric shape, and it has been recently reinterpreted as an α-condensed state [4]. The search for linear-chain states of α clusters has been extended to heavier N = Z nuclei [5][6][7][8]; however, further investigations are needed to confirm that those states are really linear-chain structures.The difficulty of the linear-chain configuration is briefly explained in the following way. From the harmonic-oscillator point of view, if three α clusters form a linear configuration on the z axis, four nucleons in the central α cluster occupy the lowest s orbits; however, eight nucleons in the other α clusters are excited to higher orbits such as the p(z) and sd(z 2 ) orbits due to the antisymmetrization effect. If the system has some bending angle, three α clusters form a two-dimensional configuration in the xz plane, and in this case four nucleons corresponding to the sd(z 2 ) orbits are deexcited to the p(x) orbits. We may conclude that in light nuclei, where the value ofhω is about 20 MeV, it is difficult to prevent the mixing of states with different bending angles.Another difficulty comes from the weak-coupling nature of the nuclear systems. If the state is largely clusterized, i.e., not only the total system of three α clusters, the α-α subsystem ( 8 Be) tends to have good angular momentum, since the angular momentum projection for the intrinsic wave function of 8 Be to the 0 + state induces a decrease in the energy by about 10 MeV.This angular momentum projection of...

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“…A variant of this method with an additional non-physical three-body potential is used. The strength parameter of this potential is considered as variational parameter for analytical continuation of the bound state energy in complex plane [28][29][30]. This potential is considered as a perturbation to corresponding three body hamiltonian and is added to the left hand side of the equations (1).…”

Section: Methodsmentioning

confidence: 99%

Faddeev calculations for the_Λ⁹Be spectrum

Filikhin

Suslov

Vlahović

2010

EPJ Web of Conferences

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Abstract. An α-cluster model is applied to study low-lying spectrum of the 9 Λ Be hypernicleus. The ααΛ threebody problem is numerically solved by the Faddeev equations in configuration space using phenomenological pair potentials. Found is a set of the potentials that reproduces experimental data for the ground state ( 1 2 + ) binding energy and excitation energy of the 5 2 + and 3 2 + states, simultaneously. This set includes the Ali-Bodmer potential of version "e" for αα and modified Tang-Herndon potential for αΛ interactions. The spin-orbit αΛ interaction is given by modified Scheerbaum potential. Low-lying energy levels are evaluated applying a variant of the analytical continuation method in coupling constant, and the experimental data for excitation energies are well reproduced by our calculations. This result improves previous α-cluster calculations. It is shown that the spectral properties of 9 Λ Be can be classified as an analog of 9 Be spectrum with the exception of several "genuine hypernuclear states", which agrees qualitatively with previous studies. The energy splitting of spin-flip doublet ( 9 2 + , 7 2 + ) is predicted.

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New broad0+state inC12

Cited by 121 publications

References 29 publications

Momentum distributions of α particles from decaying low-lyingC12resonances

Momentum distributions of α particles from decaying low-lyingC12resonances

Linear-chain structure of three α clusters inC13

Faddeev calculations for the_Λ⁹Be spectrum

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New broad0+state inC12

Cited by 121 publications

References 29 publications

Momentum distributions of α particles from decaying low-lyingC12resonances

Momentum distributions of α particles from decaying low-lyingC12resonances

Linear-chain structure of three α clusters inC13

Faddeev calculations for theΛ9Be spectrum

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Faddeev calculations for the_Λ⁹Be spectrum