arXiv subjects

N. Itagaki

Publications and source records attributed to N. Itagaki.

42 records · Page 3Linked to original sources

arXiv2010

Simplified modeling of cluster-shell competition in $^{20}$Ne and $^{24}$Mg

We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction. By introducing a single additional parameter in the antisymmetrized-cluster basis function, a continuous transformation of the $α$ cluster(s) into independent nucleons can be described. We apply this GCM trial wave function to study in details the transition from cluster states $[ ^{16}$O+$α]$ and $[ ^{16}$O+$α+ α]$ to shell model (SM) states $[ ^{16}$O+${\rm 4N} ]$ and $[ ^{16}$O+${\rm 8N} ]$, respectively. An optimal value of the strength of the spin-orbit interaction is deduced by reproducing level spacing in $^{20}$Ne. A possible connection to the group theoretical understanding of the cluster-shell configuration transition is also discussed.

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arXiv2010

Microscopic Study of the triple-$α$ Reaction

We present a microscopic dynamical study of the reactions involving three $^{4}$He clusters. We show that the much discussed triple-$α$ linear chain configuration of $^{12}$C is formed with a certain lifetime and subsequently decays into a triangular configuration of $^{12}$C and then to a configuration near the ground state. Time-dependent Hartree-Fock (TDHF) theory coupled with a density constraint is used to study the properties of these configurations. We find a sequence of dynamical transitions analogous to the suggested astrophysical mechanism for the formation of $^{12}$C nuclei.

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arXiv2002

Low-energy photodisintegration of $^9$Be with the molecular orbit model

We use a microscopic three-cluster model with the $α+α+n$ configuration to analyze with astrophysical interests the photodisintegration cross section of $^9$Be. The valence neutron in $^9$Be is treated in the molecular orbit model (MO), including continuum states by the box discretization method. It is shown that good agreement is achieved with the recently measured B(E1) transition probability from the ground state to the first 1/2$^+$ state when the box size is enlarged, resulting in reasonable reproduction of the experimental data for the photodisintegration cross section. The Coulomb dissociation of $^9$Be is also discussed.

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arXiv2001

Triaxial deformation in 10Be

The triaxial deformation in $^{10}$Be is investigated using a microscopic $α+α+n+n$ model. The states of two valence neutrons are classified based on the molecular-orbit (MO) model, and the $π$-orbit is introduced about the axis connecting the two $α$-clusters for the description of the rotational bands. There appear two rotational bands comprised mainly of $K^π= 0^+$ and $K^π= 2^+$, respectively, at low excitation energy, where the two valence neutrons occupy $K^π= 3/2^-$ or $K^π= 1/2^-$ orbits. The triaxiality and the $K$-mixing are discussed in connection to the molecular structure, particularly, to the spin-orbit splitting. The extent of the triaxial deformation is evaluated in terms of the electro-magnetic transition matrix elements (Davydov-Filippov model, Q-invariant model), and density distribution in the intrinsic frame. The obtained values turned out to be $γ= 15^o \sim 20^o$.

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arXiv2001

Molecular-orbital structure in neutron-rich C isotopes

The molecule-like structure of the C isotopes (A=12, 14, 16) is investigated using a microscopic $α+α+α+n+n+\cdot \cdot \cdot$ model. The valence neutrons are classified based on the molecular-orbit (MO) model, and both $π$-orbit and $σ$-orbit are introduced around three $α$-clusters. The valence neutrons which occupy the $π$-orbit increase the binding energy and stabilize the linear-chain of 3$α$ against the breathing-like break-up. However, $^{14}$C with the $π$-orbit does not show clear energy minimum against the bending-like path. The combination of the valence neutrons in the $π$- and the $σ$-orbit is promising to stabilize the linear-chain state against the breathing- and bending- modes, and it is found that the excited states of $^{16}$C with the $(3/2^-_π)^2(1/2^-_σ)^2$ configuration for the four valence neutrons is one of the most promising candidates for such structure.

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arXiv2000

Important role of the spin-orbit interaction in forming the 1/2^+ orbital structure in Be isotopes

The structure of the second 0^+ state of ^{10}Be is investigated using a microscopic $α+α+n+n$ model based on the molecular-orbit (MO) model. The second 0^+ state, which has dominantly the (1/2^+)^2 configuration, is shown to have a particularly enlarged $α-α$ structure. The kinetic energy of the two valence neutrons occupying along the $α-α$ axis is reduced remarkably due to the strong $α$ clustering and, simultaneously, the spin-orbit interaction unexpectedly plays important role to make the energy of this state much lower. The mixing of states with different spin structure is shown to be important in negative-parity states. The experimentally observed small-level spacing between 1^- and 2^- (~ 300 keV) is found to be an evidence of this spin-mixing effect. ^{12}{Be} is also investigated using $α+α+4n$ model, in which four valence neutrons are considered to occupy the (3/2^-)^2(1/2^+)^2 configuration. The energy surface of ^{12}Be is shown to exhibit similar characteristics, that the remarkable $α$ clustering and the contribution of the spin-orbit interaction make the binding of the state with (3/2^-)^2(1/2^+)^2 configuration properly stronger in comparison with the closed p-shell (3/2^-)^2(1/2^-)^2 configuration.

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