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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…

Nuclear Theory · Physics 2019-10-14 Yu. A. Lashko , V. S. Vasilevsky , G. F. Filippov

Role of the Pauli principle in the formation of both the discrete spectrum and multi-channel states of the binary nuclear systems composed of clusters is studied in the Algebraic Version of the resonating-group method. Solutions of the…

Nuclear Theory · Physics 2009-11-10 Gennady Filippov , Yuliya Lashko

A modified version of the Multicluster Dynamic Model of nuclei is proposed to construct completely antisymmetrized wave functions of multicluster systems. An overlap kernel operator is introduced to renormalize the total wave function after…

Nuclear Theory · Physics 2007-05-23 R. A. Eramzhyan , G. G. Ryzhikh , Yu. M. Tchuvil'sky

Pauli-Blocking effect on the kinetic term is investigated by employing the quark cluster model. The effect can be understood by the change of the degrees of the mixing between the incoming wave and the 0$\ell$ state of the inter-cluster…

High Energy Physics - Phenomenology · Physics 2009-11-07 Sachiko Takeuchi , Kiyotaka Shimizu

A new development in the antisymmetrization of the first-order nucleon-nucleus elastic microscopic optical potential is presented which systematically includes the many-body character of the nucleus within the two-body scattering operators.…

Nuclear Theory · Physics 2007-05-23 S. P. Weppner

New approach to the problem of multichannel continuum spectrum of three-cluster systems composed of an s-cluster and two neutrons is suggested based on the discrete representation of a complete basis of allowed states of the multiparticle…

Nuclear Theory · Physics 2008-11-26 Yuliya Lashko , Gennady Filippov

The antisymmetrized quasi-cluster model (AQCM) was proposed to describe {\alpha}-cluster and $jj$-coupling shell models on the same footing. In this model, the cluster-shell transition is characterized by two parameters; $R$ representing…

Nuclear Theory · Physics 2017-07-14 H. Matsuno , N. Itagaki

Cluster dynamics and single-particle correlation are simultaneously treated for the description of the ground state of ${}^{12} \mathrm{C} $. The recent development of the antisymmetrized quasi cluster model (AQCM) makes it possible to…

Nuclear Theory · Physics 2021-04-06 Naoyuki Itagaki , Tomoya Naito

We present a study of the spectral properties like the energy spectrum, the eigenmodes and density of states of a classical finite system of two-dimensional (2D) charged particles which are confined by a quadratic potential. Using the…

Condensed Matter · Physics 2007-05-23 V. A. Schweigert , F. M. Peeters

Alpha($^{4}$He)-cluster models have often been used to describe light nuclei. Towards the application to multi-cluster systems involving heavy clusters, we study the relative wave functions of the $\alpha+^{16}$O and $\alpha+^{40}$Ca…

Nuclear Theory · Physics 2018-08-01 T. Arai , W. Horiuchi , D. Baye

Within the microscopic model based on the algebraic version of the resonating group method the role of the Pauli principle in the formation of continuum wave function of nuclear systems composed of three identical $s$-clusters has been…

Nuclear Theory · Physics 2009-06-23 Yuliya Lashko , Gennady Filippov

The properties of few-body clusters (mass number $A \le 4$) are modified if they are immersed in a nuclear medium. In particular, Pauli blocking that reflects the antisymmetrization of the many-body wave function is responsible for the…

Nuclear Theory · Physics 2015-06-22 G. Röpke

$0s$-orbit $\Lambda$ states in $p$-shell double-$\Lambda$ hypernuclei ($^{\ \,A}_{\Lambda\Lambda}Z$), $^{\ \,8}_{\Lambda\Lambda}\textrm{Li}$, $^{\ \,9}_{\Lambda\Lambda}\textrm{Li}$, $^{10,11,12}_{\ \ \ \ \ \Lambda\Lambda}\textrm{Be}$,…

Nuclear Theory · Physics 2018-04-04 Yoshiko Kanada-En'yo

It is shown that the use of a density dependent effective Pauli potential together with a nucleon-nucleon interaction potential plays a crucial role to reproduce not only the binding energies but also the matter root mean square radii of…

Nuclear Theory · Physics 2009-05-13 M. Angeles Perez-Garcia , K. Tsushima , A. Valcarce

We theoretically investigate the possibility for a tetraneutron to exist as a low-energy resonance state. We explore a microscopic model based on the assumption that the tetraneutron can be treated as a compound system where $^3$n+n and…

Nuclear Theory · Physics 2008-11-26 Yuliya Lashko , Gennady Filippov

We present a microscopic calculation of alpha-cluster formation in heavy nuclei by using the quartetting wave function approach. The interaction of the quartet with the core nucleus is taken in local density approximation. The alpha-cluster…

Nuclear Theory · Physics 2017-08-02 Chang Xu , G. Ropke , P. Schuck , Zhongzhou Ren , Y. Funaki , H. Horiuchi , A. Tohsaki , T. Yamada , Bo Zhou

Clusters of spherical particles with isotropic attraction favour compact structures that maximise the number of energetically optimal nearest-neighbour interactions. In contrast, dipolar interactions lead to the formation of chains with a…

We discuss how to connect the energy levels of two-particle systems trapped by a harmonic-oscillator force to scattering amplitudes, with nucleon-nucleon scattering phase shifts in uncoupled channels as the application. At the center of the…

Nuclear Theory · Physics 2021-10-13 Chenbo Li , Jiexin Yu , Rui Peng , Songlin Lyu , Bingwei Long

The structural diversity of the solute molecules involved in biomolecular processes necessitates the characterization of the forces between charged macromolecules beyond the point-ion description. From the field theoretic partition function…

Soft Condensed Matter · Physics 2023-06-22 Sahin Buyukdagli

We investigated structures of low-lying $0s$-orbit $\Lambda$ states in $p$-shell $\Lambda$ hypernuclei ($^A_\Lambda Z$) by applying microscopic cluster models for nuclear structure and a single-channel folding potential model for a…

Nuclear Theory · Physics 2018-02-28 Yoshiko Kanada-En'yo
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