https://doi.org/10.1140/epja/s10050-023-01110-8
Regular Article –Theoretical Physics
Novel approach to the removal of the Pauli-forbidden states in the orthogonality condition model: a case of multi-
systems
1
Department of Physics, Hokkaido University, 060-0810, Sapporo, Japan
2
Department of Physics, Osaka Metropolitan University, 558-8585, Osaka, Japan
3
Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka Metropolitan University, 558-8585, Osaka, Japan
4
RIKEN Nishina Center, 351-0198, Wako, Japan
5
Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University, 200433, Shanghai, China
6
Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, 200438, Shanghai, China
Received:
5
July
2023
Accepted:
16
August
2023
Published online:
1
September
2023
We propose to use a basis function constructed based on the microscopic cluster model for an efficient description of multi-cluster systems with the orthogonality condition originating from the Pauli principle. The basis function is expressed analytically by a superposition of correlated Gaussian functions. We demonstrate the power of this approach by taking an example of a 
system, 
C. A comparison with the conventional pseudopotential method using the projection operator is made. The present method offers efficient and numerically stable computations as the number of basis functions is significantly reduced compared to the conventional method. We show that the present basis function includes reasonably small components of the Pauli-forbidden states, allowing us to discuss simply the structure of the first excited 
state, Hoyle state.
The original online version of this article was revised: A few corrections had not been implemented in the original article. Specifically, Eq. 23 has been updated to read as follows: 
and 
. .
An erratum to this article is available online at https://doi.org/10.1140/epja/s10050-023-01125-1.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Copyright comment corrected publication 2023
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.. corrected publication 2023
