Evolution of clustering structure through the momentum distributions in 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Be</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>8</mml:mn><mml:mtext>–</mml:mtext><mml:mn>10</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>
 isotopes

Songjie Li, Takayuki Myo, Qing Zhao, Hiroshi Toki, Hisashi Horiuchi, Chang Xu, Jian Liu, Mengjiao Lyu, Zhongzhou Ren

doi:10.48550/arxiv.2005.04409

We investigate the evolution of clustering structure through the momentum distributions in the $^{8-10}$Be isotopes. The nucleon dynamics within the inter-cluster antisymmetrization are discussed via the momentum distribution of a Brink type $��$-$��$ wave function. For the state with a small $��$-$��$ distance, we observe a significant depression with a dip structure at zero-momentum and an enhanced tail at relatively higher momentum region. In addition, we find the "cluster structure" in the intrinsic frame of momentum space, which is complementary to its significant $��$-cluster dissolution in the coordinate space because of the strong antisymmetrization. For the physical $^{8-10}$Be isotopes, the Tohsaki-Horiuchi-Schuck-R{��}pke (THSR) wave functions are adopted. The evolution from the dilute clustering state to the compact one is demonstrated by a successive depression at the zero-momentum of nucleon distribution for the two $��$-clusters within $^{8-10}$Be isotopes. For the compact $^{10}$Be nucleus, the momentum distribution of all nucleons shows significant depression at zero-momentum with a dip structure, which is found to be contributed by both the inter-cluster antisymmetrization and the $p$-orbit occupation of the valence neutrons. This study proposes a new window for the investigations of the $��$-clustering effects via the low-momentum components of nuclei, which is expected to be extended to the heavier nuclear clustering states.

7 pages, 6 figures, under review in PRC

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