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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

We consider a set of three-cluster systems ($^{4}$He, $^{7}$Li, $^{7}$Be, $^{8}$Be, $^{10}$Be) within a microscopic model which involves the hyperspherical harmonics to represent intercluster motion. We selected such three-cluster systems…

Nuclear Theory · Physics 2018-06-13 V. S. Vasilevsky , Yu. A. Lashko , 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

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

Mechanism of simultaneous non-sequential four-neutron ($4n$) emission (or `true' $4n$-decay) has been considered in phenomenological five-body approach. This approach is analogous to the model of the direct decay to the continuum often…

Nuclear Theory · Physics 2019-10-02 P. G. Sharov , L. V. Grigorenko , A. Ismailova , M. V. Zhukov

The resonance states embedded in the three-cluster continuum of 6He and 6Be are obtained in the Algebraic Version of the Resonating Group Method. The model accounts for a correct treatment of the Pauli principle. It also provides the…

Nuclear Theory · Physics 2009-11-06 V. Vasilevsky , A. V. Nesterov , F. Arickx , J. Broeckhove

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. By tracking the…

Nuclear Theory · Physics 2009-11-10 L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff , K. Amos , S. Karataglidis

A general shell model formalism for the nonmesonic weak decay of the hypernuclei has been developed.It involves a partial wave expansion of the emitted nucleon waves,preserves naturally the antisymmetrization between the escaping particles…

Nuclear Theory · Physics 2007-05-23 F. Krmpotic , D. Tadic

Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the $\boldsymbol{^9}$Be nucleus, showing…

Nuclear Theory · Physics 2020-03-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho , L. Fortunato , A. Vitturi

We study effects of the antisymmetrization 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 2020-03-18 V. S. Vasilevsky , Yu. A. Lashko

When moving away from stability or in loosely-bound systems, few-body clusterized structures like two-neutron halo nuclei appear. These emerge from the interplay between the many- and few-body degrees of freedom, and/or strong coupling…

Nuclear Theory · Physics 2026-02-24 Patrick McGlynn , Chloë Hebborn

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

The fundamental ingredients of the MCAS (multi-channel algebraic scattering) method are discussed. The main feature, namely the application of the sturmian theory for nucleon-nucleus scattering, allows solution of the scattering problem…

Nuclear Theory · Physics 2007-05-23 L. Canton , K. Amos , S. Karataglidis , G. Pisent , J. P. Svenne

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

We investigate two simple prescriptions to account for the Pauli principle in a three-body cluster model employing a new method based on an adiabatic hyperspherical expansion to solve the Faddeev equations in coordinate space. The resulting…

Nuclear Theory · Physics 2009-10-30 E. Garrido , D. V. Fedorov , A. S. Jensen

Sturmian theory for nucleon-nucleus scattering is discussed in the presence of all the phenomenological ingredients necessary for the description of weakly-bound (or particle-unstable) light nuclear systems. Currently, we use a macroscopic…

Nuclear Theory · Physics 2008-11-26 L. Canton , K. Amos , S. Karataglidis , G. Pisent , J. P. Svenne , D. van der Knijff

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive…

Nuclear Theory · Physics 2009-11-11 K. Amos , P. Fraser , S. Karataglidis , D. van der Knijff , J. P Svenne , L. Canton , G. Pisent

A multi-channel algebraic scattering theory has been used to study the properties of nucleon scattering from 12C and of the sub-threshold compound nuclear states, accounting for properties in the compound nuclei to ~10 MeV. All compound and…

Nuclear Theory · Physics 2009-11-11 G. Pisent , J. P. Svenne , L. Canton , K. Amos , S. Karataglidis , D. van der Knijff

Systematic analysis of parameters and properties of the Pauli resonance states are performed for light nuclei $^{6}$Li, $^{7}$Li, $^{8}$Be, $^{9}$Be and $^{10}$B, which are treated as two-cluster systems. The Pauli resonance states are…

Nuclear Theory · Physics 2024-03-18 N. Kalzhigitov , V. S. Vasilevsky

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
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