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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 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

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 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 compute energy distributions of three particles emerging from decaying many-body resonances. We reproduce the measured energy distributions from decays of two archetypal states chosen as the lowest $0^{+}$ and $1^{+}$-resonances in…

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

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

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 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 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

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 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

The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by $e^{it\Delta^\alpha}$, $0<\alpha<1$. Combing the dispersive estimate and a standard duality argument, we also…

Functional Analysis · Mathematics 2016-08-30 Manli Song

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 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

Resonance plays critical roles in the formation of many physical phenomena, and many techniques have been developed for the exploration of resonance. In a recent letter [Phys. Rev. Lett. 117, 062502 (2016)], we proposed a new method for…

Nuclear Theory · Physics 2017-02-15 Zhi Fang , Min Shi , Jian-You Guo , Zhong-Ming Niu , Haozhao Liang , Shi-Sheng Zhang

The elastic scattering $^{16}$O$+^{12}$C angular distributions at $^{16}$O bombarding energies of 100.0, 115.9 and 124.0 MeV and their optical model description including the $\alpha$-particle exchange contribution calculated in the Coupled…

Nuclear Experiment · Physics 2007-05-23 S. Szilner , W. von Oertzen , Z. Basrak , F. Haas , M. Milin

The decays $\omega/\phi \rightarrow 3\pi$ are considered in the dispersive framework that is based on the isobar decomposition and sub-energy unitarity. The inelastic contributions are parametrized by the power series in a suitably chosen…

High Energy Physics - Phenomenology · Physics 2015-06-03 I. V. Danilkin , C. Fernández-Ramírez , P. Guo , V. Mathieu , D. Schott , M. Shi , A. P. Szczepaniak

Momentum distribution of fragments produced in 12C+12C reaction at 28.7 MeV/nucleon is analyzed with antisymmetrized version of molecular dynamics (AMD). Calculations are made for several cases of stochastic collisions and the projectile…

Nuclear Theory · Physics 2008-11-26 A. Ono , H. Horiuchi , T. Maruyama , A. Ohnishi

The strong deformation present immediately after scission has consequences for the angular momentum population of the fragments as well as the angular distribution of their decay radiation. We find that the usual spin-cutoff…

Nuclear Theory · Physics 2019-03-13 G. F. Bertsch , T. Kawano , LM. Robledo

Alpha and cluster decays are analyzed for heavy nuclei located above $^{208}$Pb on the chart of nuclides: $^{216-220}$Rn and $^{220-224}$Ra, that are also candidates for observing the $2 \alpha$ decay mode. A microscopic theoretical…

Nuclear Theory · Physics 2023-03-29 J. Zhao , J. -P. Ebran , L. Heitz , E. Khan , F. Mercier , T. Niksic , D. Vretenar
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