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Spin-wave excitations of quarter-filled spin-density-wave state, which coexists with charge ordering, have been studied for one-dimensional extended Hubbard model with the nearest-neighbor repulsive interaction (V) and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Tomio , Y. Kurihara , Y. Suzumura

We derive the rotation-vibration spectrum of a 4-alpha configuration with tetrahedral symmetry, T_d, and show evidence for the occurrence of this symmetry in the low-lying spectrum of 16O. All vibrational states with A, E and F symmetry…

Nuclear Theory · Physics 2015-06-19 R. Bijker , F. Iachello

We experimentally investigate the formation of subradiant atomic momentum states in Bose-Einstein condensates inside a recoil resolving optical ring resonator according to the theoretical proposal of Cola, Bigerni, and Piovella. The atoms…

Quantum Physics · Physics 2018-11-07 P. Wolf , S. C. Schuster , D. Schmidt , S. Slama , C. Zimmermann

The isoscalar monopole excitation of 4He is studied within a few-body ab initio approach. We consider the transition density to the low-lying and narrow 0+ resonance, as well as various sum rules and the strength energy distribution itself…

Nuclear Theory · Physics 2015-03-05 Sonia Bacca , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

Analyses of the inelastic $\alpha$+$^{12}$C scattering at medium energies have indicated that the strength of the Hoyle state (the isoscalar 0$^+_2$ excitation at 7.65 MeV in $^{12}$C) seems to exhaust only 7 to 9% of the monopole energy…

Nuclear Theory · Physics 2008-11-26 Dao T. Khoa , Do Cong Cuong

The alpha cluster states of 16C are investigated by using the antisymmetrized molecular dynamics. It is shown that two different types of alpha cluster states exist: triangular and linear-chain states. The former has an approximate…

Nuclear Theory · Physics 2015-06-23 T. Baba , Y. Chiba , M. Kimura

Identification of alpha cluster states analogous to the 12C Hoyle state in heavier alpha- conjugate nuclei can provide tests of the existence of alpha condensates in nuclei. Such states are predicted for 16O, 20Ne, 24Mg, 28Si etc. at…

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

Method: To examine signatures of this alpha-condensation, a compound nucleus reaction using 160, 280, and 400 MeV 16O beams impinging on a carbon target was used to investigate the 12C(16O,7a) reaction. This permits a search for…

This article comprises three sections. Section 2 starts with a review of ab initio no-core shell model calculations by Monte Carlo Shell Model. Alpha clustering arises for 8,10,12Be and 12C with Daejeon16 and JISP16 interactions, even in…

Nuclear Theory · Physics 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

X-ray diffraction experiments show that solid 4He grown in aerogel is highly polycrystalline, with a hcp crystal structure (as in bulk) and a crystallite size of approximately 100 nm. In contrast to the expectation that the highly…

Other Condensed Matter · Physics 2009-11-13 N. Mulders , J. T. West , M. H. W. Chan , C. N. Kodituwakku , C. A. Burns , L. B. Lurio

The electric quadrupole transitions between $0^+$, $2^+$, and $4^+$ states in $^{12}$C are investigated in a $3\alpha$ model. The three-body wave functions are obtained by means of the hyperspherical adiabatic expansion method, and the…

Nuclear Theory · Physics 2015-06-11 E. Garrido , A. S. Jensen , D. V. Fedorov

The 1/2$^-$ resonant states in $^{13}{\rm C}$ are investigated to search for the Hoyle-analog state. In order to treat the resonance states located around the 3$\alpha+n$ threshold, the analytic continuation in the coupling constant (ACCC)…

Nuclear Theory · Physics 2024-04-16 Seungheon Shin , Masaaki Kimura , Bo Zhou , Qing Zhao

We searched for the $\alpha$ condensed state in $^{13}$C by measuring the $\alpha$ inelastic scattering at $E_{\alpha} = 388$ MeV at forward angles including 0 degrees. We performed the distorted-wave Born-approximation calculation with the…

We study the $\alpha + \alpha + {}^{3}$He cluster structure of ${}^{11}$C within the microscopic cluster model. The calculations essentially reproduce the energy spectra for both negative and positive parity states, particularly the…

Nuclear Theory · Physics 2025-02-12 Ying-Yu Cao , De-Ye Tao , Bo Zhou , Yu-Gang Ma

We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random block configurations, as the number of blocks $M\to \infty$,…

Mathematical Physics · Physics 2025-05-23 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Alexander Uhlmann

We study the spectrum of rotating Bose-Einstein Condensates in the limit of weak repulsive interactions and present analytical and numerical results for energies and wave functions. While the low-lying states are of collective nature, the…

Condensed Matter · Physics 2009-10-31 Thomas Papenbrock , George F. Bertsch

Knowledge of the low-lying monopole strength in $\mathrm{^{12}C}$ $-$ the Hoyle state in particular $-$ is crucial for our understanding of both the astrophysically important $3\alpha$ reaction and of $\alpha$-particle clustering. Multiple…

There is a deep astrophysical interest in the structure of $^{19}$F states close to the alpha decay threshold. The nuclear structure of these states is important for understanding of the development of $\alpha$ clustering in the $^{20}$Ne…

Nuclear Experiment · Physics 2022-02-02 A. Volya , V. Z. Goldberg , A. K. Nurmukhanbetova , D. K. Nauruzbayev , G. V. Rogachev

We analyze the $\alpha$-cluster wave functions in cluster states of $^8$Be and $^{20}$Ne by comparing the exact relative wave function obtained by the generator coordinate method (GCM) with various types of trial functions. For the trial…

Nuclear Theory · Physics 2014-11-11 Yoshiko Kanada-En'yo