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The wave function of the second $0^+$ state of $^{12}$C which was obtained long time ago by solving the microscopic 3$\alpha$ problem is shown to be almost completely equivalent to the wave function of the 3$\alpha$ condensed state which…

Nuclear Theory · Physics 2009-11-10 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Röpke

Recent experimental studies on proton-rich nuclei in the $sd$ shell have revealed intriguing near-threshold phenomena, including exotic structures associated with mirror-symmetry breaking. In particular, a halo-like structure has been…

Nuclear Theory · Physics 2026-03-31 Z. C. Xu , H. Y. Shang , S. M. Wang , Y. G. Ma

The level structure of the very neutron rich and unbound $^9$He nucleus has been the subject of significant experimental and theoretical study. Many recent works have claimed that the two lowest energy $^9$He states exist with spins…

The electromagnetic structure of $^{140}$Sm was studied in a low-energy Coulomb excitation experiment with a radioactive ion beam from the REX-ISOLDE facility at CERN. The $2^+$ and $4^+$ states of the ground-state band and a second $2^+$…

A five-body calculation of $^{12}$C+$n$+$n$+$p$+$p$ is performed to take a step towards solving an outstanding problem in nuclear theory: The simultaneous and accurate description of the ground and first excited 0$^+$ states of $^{16}$O.…

Nuclear Theory · Physics 2015-06-18 W. Horiuchi , Y. Suzuki

In this work we study alpha-clustering in 18Ne and compare it with what is known about clustering in the mirror nucleus 18O. The excitation function of 18Ne was measured in inverse kinematics from the resonant elastic scattering reaction of…

The low-lying level structure of the unbound neutron-rich nucleus $^{13}$Be has been investigated via breakup on a carbon target of secondary beams of $^{14,15}$B at 35 MeV/nucleon. The coincident detection of the beam velocity $^{12}$Be…

The four nucleons in $^8$Li outside the $\alpha$-particle ($\alpha=^4$He) can be divided into pairs of one neutron ($n$) and 3 nucleons in the triton ($t=^3$H), or 2 in the deuteron ($d=^2$H) and two neutrons in a dineutron ($^2n$). The…

Nuclear Theory · Physics 2025-02-07 E. Garrido , A. S. Jensen

Aspects of nuclear structure in alpha-conjugate nuclei have long been associated with alpha clustering, including the existence of superdeformed bands. In this paper, an alpha-particle inelastic scattering experiment investigating the…

Experimental studies of 152Sm using multiple-step Coulomb excitation and inelastic neutron scattering provide key data that clarify the low-energy collective structure of this nucleus. No candidates for two-phonon beta-vibrational states…

In this contribution we review the algebraic cluster model (ACM) for $\alpha$-cluster nuclei with $A=4k$ nucleons and its extension to the cluster shell model (CSM) for $A=4k+x$ nuclei. Particular attention is paid to the question to what…

Nuclear Theory · Physics 2025-09-12 Roelof Bijker , Omar Alejandro Díaz Caballero

In order to discuss the spatial extention of the second 0+ state of 12C (Hoyle state), we analyze the inelastic form factor of electron scattering to the Hoyle state, which our 3 alpha condensate wave function reproduces very well like…

Nuclear Theory · Physics 2009-11-11 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Roepke

We report a measurement of a new high spin Jp = 5- state at 22.4(0.2) MeV in 12C which fits very well to the predicted (ground state) rotational band of an oblate equilateral triangular spinning top with a D_3h symmetry characterized by the…

Nuclear Experiment · Physics 2014-07-09 D. J. Marin-Lambarri , R. Bijker , M. Freer , M. Gai , Tz. Kokalova , D. J. Parker , C. Wheldon

Observation of filling factor 6/13 is one of the surprising fractional quantum Hall states in the second Landau level because, in contrast to the standard wisdom, the fractions ($\nu < 1/2$) with lower numerators, namely 4 and 5, have not…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Sudipto Das , Sahana Das , Sudhansu S. Mandal

The recent precise experimental determination of the monopole transition form factor from the ground state of $^4$He to its $0^+_2$ resonance via electron scattering has reinvigorated discussions about the nature of this first excited state…

Nuclear Theory · Physics 2023-11-01 N. Michel , W. Nazarewicz , M. Płoszajczak

We study the resonance spectroscopy of the proton-rich nucleus 8C in the alpha+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…

Nuclear Theory · Physics 2015-06-04 Takayuki Myo , Yuma Kikuchi , Kiyoshi Kato

We study the low-energy properties of Heisenberg antiferromagnetic spin-1/2 and spin-1 systems on various clusters made up of triangles. Some of the clusters have a geometry similar to representative pieces of the Kagome lattice, while…

Strongly Correlated Electrons · Physics 2007-05-23 Indranil Rudra , S. Ramasesha , Diptiman Sen

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

We examine the quantum Hall (QH) states of the optical lattices with square geometry using Bose-Hubbard model (BHM) in presence of artificial gauge field. In particular, we focus on the QH states for the flux value of $\alpha = 1/3$. For…

Quantum Gases · Physics 2019-11-20 Rukmani Bai , Soumik Bandyopadhyay , Sukla Pal , K. Suthar , D. Angom

Background: $\alpha+{^{12}{\rm C}}$ clustering in $^{16}{\rm O}$ has been of historical importance in nuclear clustering. In the last 15 years the $4\alpha$ condensate state has been proposed as a new-type cluster state. Purpose: The aim is…

Nuclear Theory · Physics 2018-02-28 Y. Funaki