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The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate the energy distributions of the particles arising from three-body decaying low-lying $^{12}$C resonances. The large distance continuum properties…

Nuclear Theory · Physics 2008-11-26 R. Alvarez-Rodriguez , E. Garrido , A. S. Jensen , D. V. Fedorov , H. O. U. Fynbo

We address the problem of calculating momentum distributions of particles emerging from the three-body decay of a many-body resonance. We show that these distributions are determined by the asymptotics of the coordinate-space complex-energy…

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

We compute energy distributions of three $\alpha$-particles emerging from the decay of $^{12}$C resonances by means of the hyperspherical adiabatic expansion method combined with complex scaling. The large distance continuum properties of…

Nuclear Theory · Physics 2008-11-26 R. Alvarez-Rodriguez , A. S. Jensen , D. V. Fedorov , H. O. U. Fynbo , E. Garrido

We discuss the three-body decay mechanisms of many-body resonances. R-matrix sequential description is compared with full Faddeev computation. The role of the angular momentum and boson symmetries is also studied. As an illustration we show…

The complex scaled hyperspherical adiabatic expansion method is used to compute momentum and energy distributions of the three $\alpha$-particles emerging from the decay of low-lying $^{12}$C-resonances. The large distance continuum…

Nuclear Theory · Physics 2008-11-26 R. Alvarez-Rodriguez , A. S. Jensen , E. Garrido , D. V. Fedorov , H. O. U. Fynbo

We discuss the three-body decay mechanisms of many-body resonances. Sequential decays proceed via two-body configurations after emission of the third particle. In direct decay all three particles leave simultaneously their interaction…

Nuclear Theory · Physics 2008-11-26 R. Alvarez-Rodriguez , H. O. U. Fynbo , A. S. Jensen , E. Garrido

We have studied the three-particle decay of 12C, 9Be and 6Be resonances. These nuclei have been described as three-body systems by means of the complex scaled hyperspherical adiabatic expansion method. The short-distance part of the…

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

The computed $\alpha$ particle momentum distributions from the decay of low-lying $^{12}$C resonances are shown. The wave function of the decaying fragments is computed by means of the complex scaled hyperspherical adiabatic expansion…

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

The structure of the second 2$^+$ resonance in $^{6}$Li is investigated with special emphasis on its isospin 0 components. The wave functions are computed in a three-body model ($\alpha$+$n$+$p$) using the hyperspherical adiabatic expansion…

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

The complex-rotated hyperspherical adiabatic method is used to study the decay of low-lying $^9$Be resonances into one neutron and two $\alpha$-particles. We investigate the six resonances above the break-up threshold and below 6 MeV:…

Nuclear Theory · Physics 2014-11-21 R. Alvarez-Rodriguez , A. S. Jensen , E. Garrido , D. V. Fedorov

We present a theoretical framework for calculating the asymptotic properties and decay dynamics of three-body resonances described in a discrete basis. The method involves solving an inhomogeneous Schr\"odinger equation to determine the…

Nuclear Theory · Physics 2026-02-06 J. Casal , J. Gómez-Camacho

The complex-rotated hyperspherical adiabatic method is used to study the decay of low-lying $^9$Be and $^9$B resonances into $\alpha$, $\alpha$ and $n$ or $p$. We consider six low-lying resonances of $^9$Be ($1/2^\pm$, $3/2^\pm$ and…

Nuclear Theory · Physics 2011-05-25 R. Alvarez-Rodriguez , A. S. Jensen , D. V. Fedorov , E. Garrido

The first $0^+$ resonant state of the $^{12}$C nucleus ${}^{12}$C$(0_2^+)$, so called the Hoyle state, is investigated in a three-$\alpha$-particle (3-$\alpha$) model. A wave function for the photodisintegration reaction of a $^{12}$C bound…

Nuclear Theory · Physics 2016-12-26 Souichi Ishikawa

We compute the three-body structure of the lowest resonances of $^{12}$Be considered as two neutrons around an inert $^{10}$Be core. This is an extension of the bound state calculations of $^{12}$Be into the continuum spectrum. We…

Nuclear Theory · Physics 2015-06-05 E. Garrido , A. S. Jensen , D. V. Fedorov , J. G. Johansen

Sequential three-body decay proceeds via spatially confined quasi-stationary two-body configurations. Direct three-body decay populates the three-body continuum without intermediate steps. The relative importance of these decay modes is…

Nuclear Theory · Physics 2009-11-10 E. Garrido , D. V. Fedorov , A. S. Jensen , H. O. U. Fynbo

We use the hyperspherical adiabatic expansion method to discuss the the two mechanisms of sequential and direct three-body decay. Both short-range and Coulomb interactions are included. Resonances are assumed initially populated by a…

Nuclear Theory · Physics 2009-11-10 E. Garrido , D. V. Fedorov , A. S. Jensen , H. O. U. Fynbo

The partial width for decay of a resonance into three fragments is largely determined at distances where the energy is smaller than the effective potential producing the corresponding wave function. At short distances the many-body…

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

We investigate the effects of the nearly fulfilled Efimov conditions on the properties of three-body resonances. Using the hyper-spheric adiabatic expansion method we compute energy distributions of fragments in a three-body decay of a…

Nuclear Theory · Physics 2009-11-11 E. Garrido , D. V. Fedorov , A. S. Jensen

Three-body continuum problems are investigated for light nuclei of astrophysical relevance. We focus on three-body decays of resonances or recombination via resonances or the continuum background. The concepts of widths, decay mechanisms…

Nuclear Theory · Physics 2011-05-27 A. S. Jensen , D. V. Fedorov , R. de Diego , E. Garrido , R. Alvarez-Rodriguez

We expose the relation between the properties of the three-body continuum states and their two-body subsystems. These properties refer to their bound and virtual states and resonances, all defined as poles of the $S$-matrix. For one…

Nuclear Theory · Physics 2009-11-11 E. Garrido , D. V. Fedorov , A. S. Jensen
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