Microscopic three-cluster model of 10Be

Lashko, Yu. A.; Filippov, G.F.; Vasilevsky, V. S.

doi:10.1016/j.nuclphysa.2016.11.004

Cited by 16 publications

(25 citation statements)

References 32 publications

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“…Details of two-cluster calculations can be found in Ref. [8]. We make use of 50 oscillator functions to calculate the ground state energies of two-cluster systems.…”

Section: Resultsmentioning

confidence: 99%

“…For the lack of room in the present paper, we will not dwell on the results for 7 Be. Now we consider spectrum and wave functions of the 0 + state in 8 Be. With the three-cluster configuration 4 He+ 3 H+p we have got the following binary channels: 4 He+ 4 He and 7 Li+p.…”

Section: Resultsmentioning

confidence: 99%

“…We do not consider the binary channel 5 Li+ 3 H as its threshold energy exceeds the threecluster threshold. The energy of 0 + states in 8 Be, calculated with only one hyperspherical harmonic K = 0 and with K max =14, as a function of N sh is displayed in Fig. 12.…”

Section: Resultsmentioning

confidence: 99%

“…In Ref. [8] the exchange parameter u of the potential was selected so to reproduce the energy of the 10 Be ground state with respect to the binary threshold 6 He+α. We use the same value of this parameter.…”

Section: Resultsmentioning

confidence: 99%

“…This reduces a set of integro-differential equations (8) to an algebraic form, i.e. to the system of linear algebraic equations…”

Section: A Hyperspherical Coordinates and Basismentioning

confidence: 99%

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Two- and three-cluster decays of light nuclei within a hyperspherical harmonics approach

2018

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We consider a set of three-cluster systems ( 4 He, 7 Li, 7 Be, 8 Be, 10 Be) within a microscopic model which involves the hyperspherical harmonics to represent intercluster motion. We selected such three-cluster systems which have at least one binary channel. Our aim is to study whether the hyperspherical harmonics are able and under what conditions to describe two-body channel(s) (nondemocratic motion) or they are suitable for describing three-cluster continuum only (democratic motion). It is demonstrated that a rather restricted number of the hyperspherical harmonics allows us to describe bound states and scattering states in two-body continuum for a three-cluster system.

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“…Details of two-cluster calculations can be found in Ref. [8]. We make use of 50 oscillator functions to calculate the ground state energies of two-cluster systems.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…This reduces a set of integro-differential equations (8) to an algebraic form, i.e. to the system of linear algebraic equations…”

Section: A Hyperspherical Coordinates and Basismentioning

confidence: 99%

See 3 more Smart Citations