Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

Parke, William C.; Koike, Y.; Lehman, D. R.; Maximon, L. C.

doi:10.1007/bf01318554

Cited by 17 publications

(37 citation statements)

References 10 publications

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“…The results presented in this contribution are obtained by employing, instead of the W-matrix representation used in [2], the PEST, BAEST and BBEST potentials as input, however, with an improved parametrization by Haidenbauer [19]. The high quality of this input has been demonstrated in bound-state and scattering calculations [16][17][18].…”

Section: Theorymentioning

confidence: 99%

Photodisintegration of the triton with realistic potentials

Schadow

Sandhas

1997

Phys. Rev. C

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The process $\gamma + t \to n + d$ is treated by means of three-body integral equations employing in their kernel the W-Matrix representation of the subsystem amplitudes. As compared to the plane wave (Born) approximation the full solution of the integral equations, which takes into account the final state interaction, shows at low energies a 24% enhancement. The calculations are based on the semirealistic Malfliet-Tjon and the realistic Paris and Bonn B potentials. For comparison with earlier calculations we also present results for the Yamaguchi potential. In the low-energy region a remarkable potential dependence is observed, which vanishes at higher energies.Comment: 16 pages REVTeX, 8 postscript figures included, uses epsfig.st

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Section: Theorymentioning

confidence: 99%

Photodisintegration of the triton with realistic potentials

Schadow

Sandhas

1997

Phys. Rev. C

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“…In case of a 5 channel calculation and the EST method such a test has been made already in Ref. [19] for the Paris potential, and, with a modified expansion method, in Ref. [20] for the Argonne 14 potential restricted to…”

Section: Introductionmentioning

confidence: 99%

Comparison of Triton Bound-State Properties Using Different Separable Representations of Realistic Nucleon-Nucleon Potentials

Schadow

Sandhas²,

Haidenbauer³

et al. 2000

Few-Body Systems

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The quality of two different separable expansion methods (W matrix and Ernst-Shakin-Thaler) is investigated. We compare the triton binding energies and components of the triton wave functions obtained in this way with the results of a direct two-dimensional treatment. The Paris, Bonn A and Bonn B potentials are employed as underlying two-body interactions, their total angular momenta being incorporated up to j ≤ 2. It is found that the most accurate results based on the Ernst-Shakin-Thaler method agree within 1.5% or better with the two-dimensional calculations, whereas the results for the W-matrix representation are less accurate.

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“…In the context of describing light nuclei like 6 Li [17][18][19] and 6 He [20] in a three-body approach, rank-1 separable interactions of Yukawa-type have been successfully used. In the case of the three-nucleon problem, separable representations for the NN force of higher rank had to be developed in order to improve the agreement with exact Faddeev calculations [21][22][23][24]. Those were based on the scheme suggested by Ernst-Shakin-Thaler [25] (EST).…”

Section: Introductionmentioning

confidence: 99%

Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach

et al. 2017

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Background: Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. Purpose: Faddeev equations in momentum space have a long tradition of utilizing separable interactions in order to arrive at sets of coupled integral equations in one variable. However, it needs to be demonstrated that their solution based on separable interactions agrees exactly with solutions based on nonseparable forces. Methods: Momentum space Faddeev equations are solved with nonseparable and separable forces as coupled integral equations. Results: The ground state of 6 Li is calculated via momentum space Faddeev equations using the CD-Bonn neutron-proton force and a Woods-Saxon type neutron(proton)-4 He force. For the latter the Pauli-forbidden S-wave bound state is projected out. This result is compared to a calculation in which the interactions in the two-body subsystems are represented by separable interactions derived in the Ernst-Shakin-Thaler (EST) framework. Conclusions: We find that calculations based on the separable representation of the interactions and the original interactions give results that agree to four significant figures for the binding energy, provided that energy and momentum support points of the EST expansion are chosen independently. The momentum distributions computed in both approaches also fully agree with each other.

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Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

Cited by 17 publications

References 10 publications

Photodisintegration of the triton with realistic potentials

Photodisintegration of the triton with realistic potentials

Comparison of Triton Bound-State Properties Using Different Separable Representations of Realistic Nucleon-Nucleon Potentials

Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach

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