The geometric interpretation of the semimicroscopic algebraic cluster model and the role of the Pauli principle

10th International Conference on Clustering Aspects of Nuclear Structure and Dynamics

Yépez-Martínez, H.^1 ; Hess, P.O.^2,3,4 ; Lévai, G.^5

Universidad Autónoma de la Ciudad de México, Prolongacion San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, 09790 México D.F., Mexico^1

Institute de Ciencias Nucleares, UNAM, C.U., Circuito Exterior, A.P. 70-543, 04510 México, D.F., Mexico^2

Frankfurt Institute for Advanced Studies (FIAS), J.W. Von Goethe Universität, Ruth-Moufang-Str. 1, 60438 Frankfurt am Main, Germany^3

GSI für Schwerionenforschung Helmholzzentrum GmbH, Max-Planck-Str. 1, 64291 Darmstadt, Germany^4

Institute of Nuclear Research, Hungarian Academy of Sciences, Pf. 51, Debrecen, 4001, Hungary^5

关键词: Cluster models;    Critical lines;    Geometric interpretation;    Pauli principle;    Second-order phase transition;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/436/1/012033/pdf
DOI  :  10.1088/1742-6596/436/1/012033

来源: IOP

【 摘 要 】

We study the properties of the Semimicroscopic Algebraic Cluster Model (SACM) under phase transitions. We show that the SACM can undergo first and second order phase transitions and a critical line appears. When the Pauli principle is not observed, the critical line appears, but other non-physical properties arise. At the end the meaning of the SO(4) dynamical limit is discussed.