Study of the Bound States of Few-Nucleon Systems with Correlated Basis Functions

Rosati, S.; Kievsky, B.; Viviani, A.

doi:10.1007/978-3-7091-7581-1_62

Cited by 7 publications

(10 citation statements)

References 19 publications

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“…As already mentioned one usually introduces correlation functions in order to obtain sufficiently converging results [3][4][5][6]. In our alternative EIHH method of Ref.…”

Section: The Hh Effective Interactionmentioning

confidence: 99%

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State-dependent effective interaction for the hyperspherical formalism with noncentral forces

2001

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The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three-and four-body nuclei are calculated with AV6 and AV14 NN potentials. Excellent results for the convergence of the expansion are found, particularly for the three-nucleon system. Due to the higher density the convergence rate is a bit slower for the alpha particle. In comparison to central potential models there is only a very slight deterioration of the convergence due the tensor force, while other potential terms have no visible effect on the convergence. The obtained values for binding energy and radii also agree well with the results in the literature obtained with other few-body techniques.

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“…As already mentioned one usually introduces correlation functions in order to obtain sufficiently converging results [3][4][5][6]. In our alternative EIHH method of Ref.…”

Section: The Hh Effective Interactionmentioning

confidence: 99%

“…The HH basis is widely used in the calculation of few-body wave functions, though the convergence is very often problematic. In order to improve the convergence one may introduce proper correlation functions (see, e.g., [3][4][5][6]). The correlation functions, however, lead to various undesirable features in the calculation.…”

Section: Introductionmentioning

confidence: 99%

State-dependent effective interaction for the hyperspherical formalism with noncentral forces

2001

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“…In practice, looking for the eigenvectors of H in terms of the HH expansion turns out to be a notoriously difficult task. Therefore, one usually has to introduce correlation functions in order to accelerate the convergence of the calculation [6,[8][9][10]. In this work, however, we shall explore another possibility and instead of using correlation functions we shall use the method of effective interaction [16].…”

Section: The Effective Interactionmentioning

confidence: 99%

“…This limitation can be circumvented by using the hyperspherical harmonics (HH) basis functions instead of the HO basis. In the HH formalism, successfully applied to the nuclear fewbody problem [6][7][8][9], the Jacobi coordinates are replaced by a single length coordinate, the hyperradius, and a set of 3A − 4 hyperangles. The HH are the A-body generalization of the 2-body spherical harmonics, and likewise depend only on the hyperangular (angular) coordinates in the hyperspherical (spherical) decomposition of the A-body (2-body) system.…”

Section: Introductionmentioning

confidence: 99%

“…In general, the wave function can be expanded in a series consisting of products of HH basis functions and hyperradial basis functions. Very often the slow convergence rate of the HH basis is accelerated by using correlation functions [6,[8][9][10]. It is the aim of the present work to investigate an alternative way of improving the convergence.…”

Section: Introductionmentioning

confidence: 99%

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State dependent effective interaction for the hyperspherical formalism

2000

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The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A = 3 ÷ 6). The separation of the hyperradial part leads to a state dependent effective potential. Undesirable features of the harmonic oscillator approach associated with the introduction of a spurious confining potential are avoided. It is shown that with the present method one obtains an enormous improvement of the convergence of the hyperspherical harmonics series in calculating ground state properties, excitation energies and transitions to continuum states. 21.45.+v, 21.30.Fe, 31.15.Ja

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