TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.3.021
TI  - Influence of the Pauli principle on two-cluster potential energy
PY  - 2020/02/25
UR  - https://scipost.org/SciPostPhysProc.3.021
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 3
SP  - 021
A1  - Lashko, Yuliya
AU  - Vasilevsky, Victor S.
AU  - Filippov, Gennady F.
AB  - We study effects of the Pauli principle on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant $\alpha$-cluster channel. For this aim we construct matrix elements of two-cluster potential energy between cluster oscillator functions with and without full antisymmetrization. Eigenvalues and eigenfunctions of the potential energy matrix are studied in detail. Eigenfunctions of the potential energy operator are presented in oscillator, coordinate and momentum spaces. We demonstrate that the Pauli principle affects more strongly the eigenfunctions than the eigenvalues of the matrix and leads to the formation of resonance and trapped states.
ER  -

@Article{10.21468/SciPostPhysProc.3.021,
	title={{Influence of the Pauli principle on two-cluster potential energy}},
	author={Yuliya A. Lashko and Victor S. Vasilevsky and Gennady F. Filippov},
	journal={SciPost Phys. Proc.},
	pages={021},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.3.021},
	url={https://scipost.org/10.21468/SciPostPhysProc.3.021},
}