Alpha-6He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials

L. Canton; Yu A. Lashko; K. Amos; P. R. Fraser; S. Karataglidis; J. P. Svenne; D. Van Der Knijff

Alpha-⁶He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials

L. Canton, Yu A. Lashko, K. Amos, P. R. Fraser, S. Karataglidis, J. P. Svenne, D. Van Der Knijff

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The multi-channel algebraic scattering (MCAS) method, mainly used for nucleon-nucleus processes, has been upgraded to solve coupled sets of Lippmann-Schwinger equations for the α+⁶He cluster system. A phenomenological Hamiltonian has been found that gives good agreement with the known bound states and the first few low-lying resonances for ¹⁰Be. We have also calculated low-energy α-⁶He-scattering cross sections finding reasonable reproduction of low-energy differential cross sections. This MCAS model Hamiltonian contains some free parameters for the Orthogonalizing Pseudo Potential (OPP) that are difficult to guess and interpret. We have used an algebraic version of the resonating-group method to analyze microscopically the α+⁶He system and to derive the eigenvalues of the anti-symmetrization kernel in the Schroedinger equation. The deviation from unity of the Pauli-allowed eigenvalues introduces an effective inter-cluster interaction, genuinely generated by the Pauli/exchange effects, which can be used to qualitatively interpret the structure of the corresponding OPP.

Original language	English
Title of host publication	Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015
Editors	Alfredo Ferrari, Toshihiko Kawano, Mark Chadwick, Francesco Cerutti, P. Schoofs
Publisher	CERN
Pages	185-192
Number of pages	8
ISBN (Electronic)	9789290834182
Publication status	Published - 2015
Event	14th International Conference on Nuclear Reaction Mechanisms, NRM 2015 - Varenna, Italy Duration: 15 Jun 2015 → 19 Jun 2015

Publication series

Name	Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015

Conference

Conference	14th International Conference on Nuclear Reaction Mechanisms, NRM 2015
Country/Territory	Italy
City	Varenna
Period	15/06/15 → 19/06/15

ASJC Scopus subject areas

Energy Engineering and Power Technology
Nuclear Energy and Engineering
Nuclear and High Energy Physics

Cite this

Canton, L., Lashko, Y. A., Amos, K., Fraser, P. R., Karataglidis, S., Svenne, J. P., & Van Der Knijff, D. (2015). Alpha-⁶He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials. In A. Ferrari, T. Kawano, M. Chadwick, F. Cerutti, & P. Schoofs (Eds.), Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015 (pp. 185-192). (Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015). CERN.

Canton, L. ; Lashko, Yu A. ; Amos, K. et al. / Alpha-⁶He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials. Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015. editor / Alfredo Ferrari ; Toshihiko Kawano ; Mark Chadwick ; Francesco Cerutti ; P. Schoofs. CERN, 2015. pp. 185-192 (Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015).

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title = "Alpha-6He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials",

abstract = "The multi-channel algebraic scattering (MCAS) method, mainly used for nucleon-nucleus processes, has been upgraded to solve coupled sets of Lippmann-Schwinger equations for the α+6He cluster system. A phenomenological Hamiltonian has been found that gives good agreement with the known bound states and the first few low-lying resonances for 10Be. We have also calculated low-energy α-6He-scattering cross sections finding reasonable reproduction of low-energy differential cross sections. This MCAS model Hamiltonian contains some free parameters for the Orthogonalizing Pseudo Potential (OPP) that are difficult to guess and interpret. We have used an algebraic version of the resonating-group method to analyze microscopically the α+6He system and to derive the eigenvalues of the anti-symmetrization kernel in the Schroedinger equation. The deviation from unity of the Pauli-allowed eigenvalues introduces an effective inter-cluster interaction, genuinely generated by the Pauli/exchange effects, which can be used to qualitatively interpret the structure of the corresponding OPP.",

author = "L. Canton and Lashko, {Yu A.} and K. Amos and Fraser, {P. R.} and S. Karataglidis and Svenne, {J. P.} and {Van Der Knijff}, D.",

note = "Publisher Copyright: {\textcopyright} 2015, CERN. All rights reserved.; 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015 ; Conference date: 15-06-2015 Through 19-06-2015",

year = "2015",

language = "English",

series = "Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015",

publisher = "CERN",

pages = "185--192",

editor = "Alfredo Ferrari and Toshihiko Kawano and Mark Chadwick and Francesco Cerutti and P. Schoofs",

booktitle = "Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015",

}

Canton, L, Lashko, YA, Amos, K, Fraser, PR, Karataglidis, S, Svenne, JP & Van Der Knijff, D 2015, Alpha-⁶He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials. in A Ferrari, T Kawano, M Chadwick, F Cerutti & P Schoofs (eds), Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015. Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015, CERN, pp. 185-192, 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015, Varenna, Italy, 15/06/15.

Alpha-⁶He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials. / Canton, L.; Lashko, Yu A.; Amos, K. et al.
Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015. ed. / Alfredo Ferrari; Toshihiko Kawano; Mark Chadwick; Francesco Cerutti; P. Schoofs. CERN, 2015. p. 185-192 (Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Alpha-6He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials

AU - Canton, L.

AU - Lashko, Yu A.

AU - Amos, K.

AU - Fraser, P. R.

AU - Karataglidis, S.

AU - Svenne, J. P.

AU - Van Der Knijff, D.

PY - 2015

Y1 - 2015

N2 - The multi-channel algebraic scattering (MCAS) method, mainly used for nucleon-nucleus processes, has been upgraded to solve coupled sets of Lippmann-Schwinger equations for the α+6He cluster system. A phenomenological Hamiltonian has been found that gives good agreement with the known bound states and the first few low-lying resonances for 10Be. We have also calculated low-energy α-6He-scattering cross sections finding reasonable reproduction of low-energy differential cross sections. This MCAS model Hamiltonian contains some free parameters for the Orthogonalizing Pseudo Potential (OPP) that are difficult to guess and interpret. We have used an algebraic version of the resonating-group method to analyze microscopically the α+6He system and to derive the eigenvalues of the anti-symmetrization kernel in the Schroedinger equation. The deviation from unity of the Pauli-allowed eigenvalues introduces an effective inter-cluster interaction, genuinely generated by the Pauli/exchange effects, which can be used to qualitatively interpret the structure of the corresponding OPP.

AB - The multi-channel algebraic scattering (MCAS) method, mainly used for nucleon-nucleus processes, has been upgraded to solve coupled sets of Lippmann-Schwinger equations for the α+6He cluster system. A phenomenological Hamiltonian has been found that gives good agreement with the known bound states and the first few low-lying resonances for 10Be. We have also calculated low-energy α-6He-scattering cross sections finding reasonable reproduction of low-energy differential cross sections. This MCAS model Hamiltonian contains some free parameters for the Orthogonalizing Pseudo Potential (OPP) that are difficult to guess and interpret. We have used an algebraic version of the resonating-group method to analyze microscopically the α+6He system and to derive the eigenvalues of the anti-symmetrization kernel in the Schroedinger equation. The deviation from unity of the Pauli-allowed eigenvalues introduces an effective inter-cluster interaction, genuinely generated by the Pauli/exchange effects, which can be used to qualitatively interpret the structure of the corresponding OPP.

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M3 - Conference contribution

AN - SCOPUS:84973643947

T3 - Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015

SP - 185

EP - 192

BT - Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015

A2 - Ferrari, Alfredo

A2 - Kawano, Toshihiko

A2 - Chadwick, Mark

A2 - Cerutti, Francesco

A2 - Schoofs, P.

PB - CERN

T2 - 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015

Y2 - 15 June 2015 through 19 June 2015

ER -

Canton L, Lashko YA, Amos K, Fraser PR, Karataglidis S, Svenne JP et al. Alpha-⁶He scattering and the quest for microscopic guidance for orthogonalizing pseudopotentials. In Ferrari A, Kawano T, Chadwick M, Cerutti F, Schoofs P, editors, Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015. CERN. 2015. p. 185-192. (Proceedings of the 14th International Conference on Nuclear Reaction Mechanisms, NRM 2015).