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Local $\alpha \alpha$ potentials fail to describe $^{12}$C as a $3\alpha$ system. Nonlocal $\alpha \alpha$ potentials that renormalize the energy-dependent kernel of the resonating group method allow interpreting simultaneously the ground…

Nuclear Theory · Physics 2008-11-26 Y. Suzuki , H. Matsumura , M. Orabi , Y. Fujiwara , P. Descouvemont , M. Theeten , D. Baye

Bound and resonance states of the dipole-bound anion of hydrogen cyanide HCN$^-$ are studied using a non-adiabatic pseudopotential method and the Berggren expansion technique involving bound states, decaying resonant states, and…

Atomic and Molecular Clusters · Physics 2016-06-17 K. Fossez , N. Michel , W. Nazarewicz , M. Płoszajczak , Y. Jaganathen

We investigate low-lying bound states of the neutron-rich nucleus ${}^{15}$B by assuming it is a three-body system made of an inert core ${}^{13}$B and two valence neutrons. The three-body wave functions are obtained using the Faddeev…

Nuclear Theory · Physics 2018-07-04 Dong Bai , Zhongzhou Ren , Tiekuang Dong

Determining the statistics of elementary excitations supported by fractional quantum Hall states is crucial to understanding their properties and potential applications. In this paper, we use the topological entanglement entropy as an…

Strongly Correlated Electrons · Physics 2021-02-19 Bartholomew Andrews , Madhav Mohan , Titus Neupert

Deformed states in $^{40}$Ca are investigated with a method of antisymmetrized molecular dynamics. Above the spherical ground state, rotational bands arise from a normal deformation and a superdeformation as well as an oblate deformation.…

Nuclear Theory · Physics 2009-11-11 Y. Kanada-En'yo , M. Kimura

I present an ab initio calculation of the spectrum of carbon-12, including also the famous Hoyle state. Its structure is discussed and a new interpretation of clustering in nuclear physics is given.

Nuclear Theory · Physics 2015-05-30 Ulf-G. Meißner

The promotion of collinear classical spin configurations as well as the enhanced tendency towards nearest-neighbor clustering of the quantum spins are typical features of the frustrating isotropic three-body exchange interactions in…

Strongly Correlated Electrons · Physics 2016-05-16 N. B. Ivanov , S. I. Petrova , J. Schnack

The resonance structure in $^{11}$C is particularly of interest with regard to the astrophysical $^{7}$Be($\alpha$, $\gamma$) reaction, relevant at high temperature, and to the $\alpha$-cluster structure in $^{11}$C. The measurement was to…

According to microscopic calculations with antisymmetrized molecular dynamics, we studied cluster features in stable and unstable nuclei. A variety of structure was found in stable and unstable nuclei in the $p$-shell and $sd$-shell…

Nuclear Theory · Physics 2015-06-26 Y. Kanada-En'yo , M. Kimura , H. Horiuchi

The $\alpha$--$\alpha$ differential cross sections are analyzed in the optical model using a double--folded potential. With the knowledge of this potential bound and resonance--state properties of $\alpha$--cluster states in $^{8}$Be and…

Nuclear Theory · Physics 2016-09-08 P. Mohr , H. Abele , V. Kölle , G. Staudt , H. Oberhummer , H. Krauss

The $\alpha$--$\alpha$ differential cross sections are analyzed in the optical model using a double--folded potential. With the knowledge of this potential bound and resonance--state properties of $\alpha$--cluster states in $^{8}$Be and…

Astrophysics · Physics 2015-06-24 P. Mohr , H. Abele , V. Kölle , G. Staudt , H. Oberhummer , H. Krauss

Using density-matrix renormalization-group calculations for infinite cylinders, we elucidate the properties of the spin-liquid phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ Heisenberg model on the triangular lattice. We find four distinct…

Strongly Correlated Electrons · Physics 2018-04-13 S. N. Saadatmand , I. P. McCulloch

Four light-mass nuclei are considered by an effective two-body clusterisation method; $^6$Li as $^2$H$+^4$He, $^7$Li as $^3$H$+^4$He, $^7$Be as $^3$He$+^4$He, and $^8$Be as $^4$He$+^4$He. The low-energy spectrum of each is determined from…

Nuclear Theory · Physics 2017-08-02 P. R. Fraser , K. Massen-Hane , A. S. Kadyrov , K. Amos , I. Bray , L. Canton

The relation between the monopole transition strength and existence of cluster structure in the excited states is discussed based on an algebraic cluster model. The structure of $^{12}$C is studied with a 3$\alpha$ model, and the wave…

Nuclear Theory · Physics 2011-02-21 T. Yoshida , N. Itagaki , K. Katō

$\alpha$-cluster correlations in the ground states of $^{12}$C and $^{16}$O are studied. Because of the $\alpha$ correlations, the intrinsic states of $^{12}$C and $^{16}$O have triangle and tetrahedral shapes, respectively. The…

Nuclear Theory · Physics 2012-08-17 Yoshiko Kanada-En'yo , Yoshimasa Hidaka

Angular distributions for elastic and inelastic scattering of $^3$He from $^{12}$C were measured at energies 50.5 and 60 MeV. The Airy minimum of the prerainbow scattering was clearly observed in the angular distributions for the 0$_2^+$…

Nuclear Theory · Physics 2015-06-12 Sh. Hamada , Y. Hirabayashi , N. Burtebayev , S. Ohkubo

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…

Nuclear Theory · Physics 2010-09-08 Takayuki Myo , Ryosuke Ando , Kiyoshi Kato

The nature of the $\Lambda nn$ and ${\rm ^3_\Lambda H^*} (J^\pi=3/2^+,~I=0)$ states is investigated within a pionless effective field theory at leading order, constrained by the low energy $\Lambda N$ scattering data and hypernuclear 3- and…

Nuclear Theory · Physics 2021-03-03 M. Schäfer , B. Bazak , N. Barnea , J. Mareš

Among the states of $^{12}$C, there is an important subset of $K$=0 and $K$=$I$ planar intrinsic states in which the intrinsic motion of the nucleons are confined in the planar region defined by the three-alpha cluster or by their generated…

Nuclear Theory · Physics 2020-01-01 Cheuk-Yin Wong

The excited states in the odd-$A$ $^{197}$Tl nucleus have been studied by populating them using the $^{197}$Au($\alpha$, 4$n$)$^{197}$Tl reaction at the beam energy of 48 MeV. The $\gamma-\gamma$ coincidence data were taken using a…

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