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The generator coordinate method of a microscopic cluster model is developed to treat the resonance and scattering of nuclear clusters with complex scaling. We consistently derive the formulation of the complex scaling for the microscopic…

Nuclear Theory · Physics 2023-06-19 Takayuki Myo , Hiroki Takemoto

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator…

Nuclear Theory · Physics 2021-04-22 Yu. A. Lashko , A. V. Nesterov , V. S. Vasilevsky

There is a deep astrophysical interest in the structure of $^{19}$F states close to the alpha decay threshold. The nuclear structure of these states is important for understanding of the development of $\alpha$ clustering in the $^{20}$Ne…

Nuclear Experiment · Physics 2022-02-02 A. Volya , V. Z. Goldberg , A. K. Nurmukhanbetova , D. K. Nauruzbayev , G. V. Rogachev

We investigate the $\alpha$+\oo\ cluster structure in the inversion-doublet band ($K^\pi=0_{1}^\pm$) states of \nene\ with an angular-momentum-projected version of the Tohsaki-Horiuchi-Schuck-R\"{o}pke (THSR) wave function, which was…

Nuclear Theory · Physics 2013-07-02 Bo Zhou , Y. Funaki , H. Horiuchi , Zhongzhou Ren , G. Röpke , P. Schuck , A. Tohsaki , Chang Xu , T. Yamada

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

Background: Clustering phenomena in $N \neq Z$ nuclei provide an opportunity to understand the interplay between cluster and nucleon degrees of freedom. Purpose:To study resonances in the $^{18}$O spectrum, populated in $^{14}$C+$\alpha$…

A two-cluster microscopic model is applied to study elastic alpha-alpha scattering and resonance structure of $^{8}$Be. The model is an algebraic version of the Resonating Group Method, which makes use complete set of oscillator functions…

Nuclear Theory · Physics 2020-06-09 V. O. Kurmangaliyeva , N. Kalzhigitov , N. Takibayev , V. S. Vasilevsky

The importance of including experimental resonances in constructing effective inter-cluster interactions has been investigated. For this, we first address the question of how to obtain the analytical properties of the Jost function in…

Nuclear Theory · Physics 2009-10-31 S. E. Massen , S. A. Sofianos , S. A. Rakityansky , S. Oryu

We introduce a fully antisymmetrized treatment of three-cluster dynamics within the ab initio framework of the no-core shell model/resonating-group method (NCSM/RGM). Energy-independent non-local interactions among the three nuclear…

Nuclear Theory · Physics 2013-10-23 S. Quaglioni , C. Romero-Redondo , P. Navrátil

We explain various facets of the THSR (Tohsaki-Horiuchi-Schuck-R\"opke) wave function. We first discuss the THSR wave function as a wave function of cluster-gas state, since the THSR wave function was originally introduced to elucidate the…

Nuclear Theory · Physics 2019-09-06 Bo Zhou , Yasuro Funaki , Hisashi Horiuchi , Akihiro Tohsaki

Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by L\"uscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured…

High Energy Physics - Lattice · Physics 2011-11-15 K. Rummukainen , Steven Gottlieb

We present a many-channel microscopic model that extends the three-cluster model previously formulated in \cite{2009NPA...V37}. This extended model incorporates multiple three-cluster configurations, which are subsequently reduced to a…

Nuclear Theory · Physics 2023-10-31 Yu. A. Lashko , V. S. Vasilevsky , V. I. Zhaba

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

Mathematical Physics · Physics 2011-03-11 Anton Krynkin , Olga Umnova , Alvin Y. B. Chong , Shahram Taherzadeh , Keith Attenborough

Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations…

Nuclear Theory · Physics 2010-04-06 Jean-Marc Sparenberg , Pierre Capel , Daniel Baye

A container picture is proposed for understanding cluster dynamics where the clusters make nonlocalized motion occupying the lowest orbit of the cluster mean-field potential characterized by the size parameter $``B"$ in the THSR…

Multiple scattering theory is applied to the study of clusters of point-like scatterers attached to a thin elastic plate and arranged in quasi-periodic distributions. Two type of structures are specifically considered: the twisted bilayer…

Classical Physics · Physics 2024-06-12 Marc Martí-Sabaté , Sébastien Guenneau , Dani Torrent

Non-exotic scalar-meson resonances in S-wave meson-meson scattering are studied in the light of a unitarised Schroedinger model. The resulting poles in the scattering matrices, by analytical continuation into the complex-energy plane, are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eef van Beveren , George Rupp

Experiments are carried out with a globally coupled, externally forced population of limit-cycle electrochemical oscillators with an approximately unimodal distribution of heterogeneities. Global coupling induces mutually entrained (at…

Chaotic Dynamics · Physics 2009-11-13 Istvan Z. Kiss , Yumei Zhai , John L. Hudson

Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering $s$-states and the bound $s$-states are found in the cases of delta-shell potential and superposition of delta-shell potentials. Some…

Mathematical Physics · Physics 2013-12-09 Valery Kapshai , Yury Grishechkin
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