Three-body structure of the low-lying 17Ne-states

Garrido, E.; Fedorov, D. V.; Jensen, A. S.

doi:10.1016/j.nuclphysa.2003.12.016

Cited by 60 publications

(124 citation statements)

References 37 publications

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“…We know that the resonance at small distance is dominated by components where the proton-core two-body configurations are of sd-structure [15]. Two table 1) for the width obtained is found to be ≃ 3.6×10 −12 MeV consistent with the experimental constraints from the γ-decay [5,15].…”

Section: O+p+p) Resonancessupporting

confidence: 76%

“…These values are quoted as realistic in the third and fourth columns of table 1. Using only the lowest non-rotated adiabatic potential with the energy equal to 0.82 MeV the WKB estimate for the width [15] is 0.19 MeV (fifth column), where the uncertainty in the knocking rate alone can explain the deviation from 0.12 MeV. Therefore the wave function along the path defined by this potential reveals the decay mechanism by showing the structure continuously changing from small to large distances.…”

Section: Short-range Potentialsmentioning

confidence: 95%

“…2. The ground state and the two first excited states are all essentially of three-body structure [15]. The Borromean nature prohibits proton decay from the ground state but also the 3/2 − state has too low an energy to allow proton emission.…”

Section: O+p+p) Resonancesmentioning

confidence: 99%

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Anatomy of three-body decay II: decay mechanism and resonance structure

et al. 2005

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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 process independent of the subsequent decay. The lowest adiabatic potentials describe the resonances rather accurately at distances smaller than the outer turning point of the confining barrier. We illustrate with realistic examples of nuclei from neutron ( 6 He) and proton ( 17 Ne) driplines as well as excited states of beta-stable nuclei ( 12 C).

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Section: O+p+p) Resonancessupporting

confidence: 76%

Section: Short-range Potentialsmentioning

confidence: 95%

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Anatomy of three-body decay II: decay mechanism and resonance structure

et al. 2005

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“…Advanced three-body calculations employ partial-wave-dependent pair interactions and state-dependent three-body potentials, and these complications must therefore also be taken into account in derivations of the cluster sum rules. Typically, the two-body interactions are adjusted independently for each partial wave to reproduce the available properties of the corresponding two-body system (e.g., bound state and resonance energies and phase shifts) [14,15]. These interactions are then essentially nonlocal through their angular momentum dependence.…”

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confidence: 99%

Cluster sum rules for three-body systems with angular-momentum dependent interactions

et al. 2008

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We derive general expressions for non-energy-weighted and energy-weighted cluster sum rules for systems of three charged particles. The interferences between pairs of particles are found to play a substantial role. The energy-weighted sum rule is usually determined by the kinetic energy operator, but we demonstrate that it has similar additional contributions from the angular momentum and parity dependence of two-and three-body potentials frequently used in three-body calculations. I. MOTIVATIONThe use of sum rules in quantum mechanics is well established and abundantly applied for many different systems [1,2]. The prominent examples are the transitions from a given quantum state induced by an electromagnetic multipole operator. For any multipole operator acting on an initial state, the sum of all the related transition probabilities multiplied by powers of the excitation energy are completely determined by the properties of the initial state [3,4].The sum rules exist in general for any many-body quantum system. Of specific interest are those systems where the constituents clusterize, such that the degrees of freedom can be divided into the internal ones corresponding to each cluster and those associated with the relative motion of the clusters [5]. Then the different multipole operators can be decomposed into terms depending on the intrinsic coordinates of each cluster and an additional term depending only on the relative coordinates of the centers of mass of the clusters. This operator structure then leaves two sum rules showing the same decomposition: the sum rules associated with each individual cluster (depending only on the properties of the initial cluster state) plus the cluster sum rule (depending on the properties of the few-body initial wave function). Examples are found in Refs. [6,7], where the dipole non-energy-weighted and dipole energy-weighted sum rules are obtained for many-body systems clusterizing into a two-body system. When a clusterized system can be properly described as a few-body system where the internal cluster degrees of freedom are frozen, only the cluster sum rules remain, corresponding to the much smaller Hilbert space of ground and excited states of the relative cluster motion. This kind of few-body descriptions have been extensively used in nuclear physics during the past 10-15 years in connection with halos and weakly bound states in general [5]. The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13]. The unavoidable transformation from one set of Jacobi coordinates to another complicates the structure of the cluster sum rules, especially when more than one of the three particles is charged.The purpose of this work is to generalize the dipole twobody...

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“…(20). An example is for 17 Ne, that is well described as a three-body system made by an 15 O core and two protons [37]. The core of the system has negative parity and spin 1/2.…”

Section: Core With Non-zero Spinmentioning

confidence: 99%

Origin of three-body resonances

Garrido¹,

Fedorov

Jensen

2005

Eur. Phys. J. A

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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 infinitely heavy core and two non-interacting light particles, the complex energies of the three-body poles are the sum of the two two-body complex pole-energies. These generic relations are modified by center-of-mass effects which alone can produce a Borromean system. We show how the three-body states evolve in 6 He, 6 Li, and 6 Be when the nucleon-nucleon interaction is continuously switched on. The schematic model is able to reproduce the main properties in their spectra. Realistic calculations for these nuclei are shown in detail for comparison. The implications of a core with non-zero spin are investigated and illustrated for 17 Ne ( 15 O+p+p). Dimensionless units allow predictions for systems of different scales.

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Three-body structure of the low-lying 17Ne-states

Cited by 60 publications

References 37 publications

Anatomy of three-body decay II: decay mechanism and resonance structure

Anatomy of three-body decay II: decay mechanism and resonance structure

Cluster sum rules for three-body systems with angular-momentum dependent interactions

Origin of three-body resonances

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