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The electric multipole strength distributions for transitions from the ${}^{12}\mathrm{C}(0_1^+)$ ground state to $3\alpha$ ($0^+$, $1^-$, $2^+$, and $3^-$) continuum states are studied in terms of $3\alpha$ model. Several sets of the…

Nuclear Theory · Physics 2025-07-15 Souichi Ishikawa

We use the continuum shell model approach to explore the resonance width distribution in unstable many-body systems. The single-particle nature of a decay, the few-body character of the interaction Hamiltonian, and collectivity that emerges…

Nuclear Theory · Physics 2011-05-05 Alexander Volya

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 decay process of the schematic one-dimensional three-body system is considered. A time-dependent approach is used in combination with a one-dimensional three-body model, which is composed of a heavier core nucleus and two nucleons, with…

Nuclear Theory · Physics 2018-04-12 Tomohiro Oishi , Lorenzo Fortunato

Three-body recombination is a prime example of the fundamental interaction between three particles. Due to the complexity of this process it has resisted a comprehensive description. Experimental investigations have mainly focussed on the…

We use a sequential $R$-matrix model to describe the breakup of the Hoyle state into three $\alpha$ particles via the ground state of $^8\mathrm{Be}$. It is shown that even in a sequential picture, features resembling a direct breakup…

Nuclear Theory · Physics 2018-04-04 Jonas Refsgaard , Hans O. U. Fynbo , Oliver S. Kirsebom , Karsten Riisager

We present a many-channel microscopic model that extends the three-cluster model previously formulated in \cite{2009NPA...V37}. This extended model incorporates multiple three-cluster configurations, which are subsequently reduced to a…

Nuclear Theory · Physics 2023-10-31 Yu. A. Lashko , V. S. Vasilevsky , V. I. Zhaba

The interaction of an E/A=70 - MeV 7Be beam with a Be target was used to populate levels in 6Be following neutron knockout reactions. The three-body decay of the ground and first excited states into the alpha+p+p exit channel were detected…

We show that the three-body decays of the resonance recently discovered at the LHC are potentially sensitive to effects of new physics. Even if the fully integrated partial decay widths are consistent with the minimal Standard Model there…

High Energy Physics - Phenomenology · Physics 2015-06-16 Benjamín Grinstein , Christopher W. Murphy , David Pirtskhalava

We consider the dynamics of quantum systems which possess stationary states as well as slowly decaying, metastable states arising from the perturbation of bound states. We give a decomposition of the propagator into a sum of a stationary…

Mathematical Physics · Physics 2016-04-20 Martin Könenberg , Marco Merkli

Momentum distributions of particles from nuclear break-up of fast three-body halos are calculated consistently, and applied to $^{11}$Li. The same two-body interactions between the three particles are used to calculate the ground state…

Nuclear Theory · Physics 2008-11-26 E. Garrido , D. V. Fedorov , A. S. Jensen

A formalism to evaluate the resonant states produced by two particles moving outside a closed shell core is presented. The two particle states are calculated by using a single particle representation consisting of bound states, Gamow…

Nuclear Theory · Physics 2009-11-07 R. Id Betan , R. J. Liotta , N. Sandulescu , T. Vertse

The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate low-lying nuclear resonances of $^{12}$C in the $3\alpha$-model. We use Ali-Bodmer potentials and compare results for other potentials…

Nuclear Theory · Physics 2009-11-13 R. Alvarez-Rodriguez , E. Garrido , A. S. Jensen , D. V. Fedorov , H. O. U. Fynbo

Resonance states of a two-electron quantum dot are studied using a variational expansion with both real basis-set functions and complex scaling methods. We present numerical evidence about the critical behavior of the density of states in…

Other Condensed Matter · Physics 2010-08-26 Federico M. Pont , Omar Osenda , Pablo Serra

We consider a system of $N$ nonrelativistic particles which form a near-threshold resonance. Assuming no subset of these particles can form a bound state, the resonance can only decay through an "explosion" into $N$ particles. We show that…

Nuclear Theory · Physics 2022-12-20 Dam Thanh Son , Mikhail Stephanov , Ho-Ung Yee

Models of many-body localization (MBL) exhibit slow numerical drifts towards delocalization with increasing system size, for which no satisfactory theory exists. Numerics indicates that these drifts are driven by the proliferation of…

Disordered Systems and Neural Networks · Physics 2026-05-08 Carlo Vanoni , David M. Long , Anushya Chandran

We consider decays of the lowest-lying radially excited baryons. Assuming a single-quark decay approximation, and negligible configuration mixing, we make model-independent predictions for the partial decay widths to final states with a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl E. Carlson

We investigate to what extent 18Ne can be descibed as a three-body system made of an inert 16O-core and two protons. We compare to experimental data and occasionally to shell model results. We obtain three-body wave functions with the…

Nuclear Theory · Physics 2015-03-17 J. A. Lay , D. V. Fedorov , A. S. Jensen , E. Garrido , C. Romero-Redondo

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a system of two identical and one distinct particle…

Quantum Gases · Physics 2011-10-04 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner