Nucleon–α-particle interactions from inversion of scattering phase shifts

Alexander, N.; Amos, K.; Apagyi, Barnabás; Dr, Lun

doi:10.1103/physrevc.53.88

Cited by 21 publications

(9 citation statements)

References 26 publications

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“…, respectively, and introducing the matrix 𝑀 𝑎 3 with the elements 𝑀 𝑎 3 ≡ 𝑡 𝑎 4 𝛿 ̅ 𝑎 4 𝑏 4 Eq. (1.7) leads to 3 ) .…”

Section: The Five-body Yakubovsky Formalismmentioning

confidence: 99%

“…In the past few decades, considerable efforts have been made to investigate the effective 𝛼𝑁 interaction and applied to the exploration of the structure of light and heavy nuclei with this interaction, such as multichannel 𝛼𝑁 and 𝛼𝛼 interactions [1], bound-state properties of the 6 He and 6 Li in a 3-body model, with an investigation of the 𝛼𝑁 interactions [2], interactions of 𝛼𝑁 in an elastic scattering [3], a survey of the 𝛼𝑁 interaction [4], peripheral 𝛼𝑁 scattering with NN potential [5]. Also, significant attempts have been made to obtain accurate ground-state properties of the few-nucleon systems even for 𝐴 > 4 with simple and realistic potentials, namely Stochastic Variational Monte Carlo (SVM) method [6] which, still used simplified forces, without realistic nuclear interactions and the Nonsymmetrized Hyperspherical Harmonics (HH) approach [7] appears to be quite promising to deal with permutational-symmetry breaking terms in the Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

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Solution of the Specific Model of Five-body Problem to Investigate the Effective Alpha--Nucleon Interaction in a Partial-wave Analysis

Pouya¹,

Rajabi²

2017

Acta Phys. Pol. B

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In this paper, we have solved a simple specific model of the five-body problem in the framework of the Yakubovsky equations, restricted to the configurations of the alpha-nucleon types only, to investigate the effective interaction between an inert alpha-particle and a neutron. In general case, the Yakubovsky scheme for the solution of the five-body system leads to a set of four coupled equations related to four independent configurations, which can be restricted to two coupled ones, to describe the effective alpha-nucleon structure model, namely an inert four-body alpha-core and a nucleon. Hence, in such a model, the other configurations will not be taken into account. To calculate the binding energies of the five-body system in the model of alphanucleon structure, the two coupled equations are represented in the momentum space on the basis of the Jacobi momenta. After an explicit evaluation of the two coupled integral equations in a partial-wave analysis, the obtained equations are the starting point for a numerical calculation as an eigenvalue equation form, using typical iteration method. In the first step to the calculations, i.e. applying some spin-independent potential models, some obtained binding energy differences between the four-body as an alpha-particle and the five-body as an alpha-nucleon systems suggest that a simple effective interaction between an inert alpha-particle and a nucleon is attractive and of about 13 MeV. In addition, the represented binding energy results with respect to the regarded spin-independent potentials are in fair agreement with the obtained results from other methods.

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“…, respectively, and introducing the matrix 𝑀 𝑎 3 with the elements 𝑀 𝑎 3 ≡ 𝑡 𝑎 4 𝛿 ̅ 𝑎 4 𝑏 4 Eq. (1.7) leads to 3 ) .…”

Section: The Five-body Yakubovsky Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Solution of the Specific Model of Five-body Problem to Investigate the Effective Alpha--Nucleon Interaction in a Partial-wave Analysis

Pouya¹,

Rajabi²

2017

Acta Phys. Pol. B

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“…The procedure works well for weak spin-orbit interactions and high energies. This scheme has been applied to nucleon-alpha spin-orbit potentials at low energies [12].…”

mentioning

confidence: 99%

Extraction of Spin-Orbit Interactions from Phase Shifts via Inversion

Lun

Buckman

1997

Phys. Rev. Lett.

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“…As a result the approximation method of Leeb, Huber and Fiedeldey [5] (LHF hereafter) can be used with confidence. Indeed the LHF scheme is accurate through second order in Born approximation and has worked well in some nuclear scattering data analyses [10] where the spin-orbit effect is much stronger than in the case we study. With the LHF approximation, both the N-S and the semi-classical WKB methods of inverse scattering theory can be used to specify the electron-Xenon (e-Xe) potentials.…”

Section: Introductionmentioning

confidence: 54%

Fixed-energy inversion of 5-eVe–Xe−atomscattering

Lovell

Amos

2000

Phys. Rev. A

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Fixed energy inverse scattering theory has been used to define central and spin-orbit Schrödinger potentials for the scattering of 5 eV polarized electrons from Xe atoms. The results are typical for a range of such data; including energies above threshold when the potentials become complex. The phase shifts obtained from an analysis of the measured differential cross section and analyzing power has been used as input data. Both semi-classical (WKB) and fully quantal inversion methods have been used to extract central and spin-orbit interactions. The analysis shows that information additional to the set of input phase shifts extracted from this (and similar) data may be needed to ascertain physical potentials.

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Nucleon–α-particle interactions from inversion of scattering phase shifts

Cited by 21 publications

References 26 publications

Solution of the Specific Model of Five-body Problem to Investigate the Effective Alpha--Nucleon Interaction in a Partial-wave Analysis

Solution of the Specific Model of Five-body Problem to Investigate the Effective Alpha--Nucleon Interaction in a Partial-wave Analysis

Extraction of Spin-Orbit Interactions from Phase Shifts via Inversion

Fixed-energy inversion of 5-eVe–Xe−atomscattering

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