A realistic three-body model of 6Li with local interactions

Bang, J.; Gignoux, C.

doi:10.1016/0375-9474(79)90571-2

Cited by 88 publications

(36 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In these calculations, the n- 4 He potential was taken from Ref. [50]. It consists of an energy independent Woods-Saxon potential, supplemented by a spinorbit term with a Woods-Saxon derivative radial shape.…”

Section: Structure Model For 6 Hementioning

confidence: 99%

Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis

et al. 2008

View full text Add to dashboard Cite

show abstract

Section: Structure Model For 6 Hementioning

confidence: 99%

Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis

et al. 2008

View full text Add to dashboard Cite

show abstract

“…In particular, we use the n-n potential of Gogny, Pires, and de Tourreil [8] with spin-orbit and tensor components and we take the n- 4 He potential from Ref. [9]. Besides the pairwise interactions, an effective three-body potential is included, with matrix elements of the form [5] …”

mentioning

confidence: 99%

Continuum description with pseudostate wave functions

Moro

Rodríguez‐Gallardo

Crespo³

et al. 2007

Phys. Rev. C

View full text Add to dashboard Cite

Benchmark calculations are performed aiming to test the use of two different pseudostate bases on the multiple scattering expansion of the total transition amplitude scattering framework. Calculated differential cross sections for p-6 He inelastic scattering at 717 MeV/nucleon show a good agreement between the observables calculated in the two bases. This result gives extra confidence on the pseudostate representation of continuum states to describe inelastic/breakup scattering. Li and 6 He). Because of their loosely bound nature, to properly understand and interpret such reactions, it is crucial to take into account the few-body degrees of freedom. At high energies, the multiple scattering expansion of the total transition amplitude (MST) is a convenient framework that has already been applied to analyze such reactions for elastic [1,2] as well as for inelastic [3,4] scattering. In the latter case, the method can take into account spin excitations that occur when scattering from a spin target such as a proton. In these calculations, it is formal and numerically advantageous to represent the continuum states in terms of a basis of square-integrable functions, also known as pseudostates (PSs). Unlike the true scattering states, the PSs vanish at large distances and hence the method will be only useful if the calculated observables are not sensitive to the asymptotic region. Moreover, calculations performed with different families of states should converge to the same results, provided that enough states are included and that the basis is complete within the radial region relevant for the process under study.Guided by this motivation, in this Brief Report we present benchmark calculations of proton inelastic scattering from 6 He within the MST framework, making use of two different PS bases to describe the 6 He continuum. We aim to check to what extent the calculated breakup observables depend on the choice of the PS functions.For a Borromean system, such as 6 He, the wave function for a total angular momentum J (with projection M) and energy , ϕ J M , can be expressed in terms of the Jacobi coordinates r (the relative coordinate between the valence nucleons) and R (the relative coordinate from the center of mass of the neutron pair to the core). It is also convenient to introduce a set of hyperspherical coordinates: the hyper-radius ρ and five hyperspherical polar angles 5 = {α, θ x , φ x , θ y , φ y }. The former is defined as ρ = x 2 + y 2 with scaled coordinates x = 2 −1/2 r and y = (2/ √ 3) R. The angle α = arctan(x/y) is the hyperangle and θ x , φ x , θ y , φ y are the angles associated with the unit spatial vectorsx andŷ.Within the PS method, the eigenstates ϕ J M ( r, R) are obtained by diagonalization of the Hamiltonian in a basis of normalizable states. These states are conveniently expanded in a basis of hyperspherical harmonics of the formwhere ϒ J M β ( 5 ) is the generalized angle-spin basis [5]with χ s i the neutron spin functions and Y K x y L ( 5 ) the hyperspherical harmonics,The functions ψ K ...

show abstract

“…Between the neutrons, we use the GPT n-n potential [21] with spin-orbit and tensor components and we take the n- 4 He core potential from Ref. [22]. In order to overcome the underbinding of 6 He caused by omitting other closed channels, most important of which is the t + t, an additional effective three-body (V 3B J ) interaction is introduced.…”

Section: B the Potentialsmentioning

confidence: 99%