Journal ArticleDOI
Investigation of halo structure of 6 He by hyperspherical three-body method
Abdul Khan,Tapan Kumar Das +1 more
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In this article, a repulsive part is introduced in the interaction between the core and the extra-core neutron, to simulate Pauli principle, and two neutron separation energy, r.m.s. radii, correlation factor and probability density distributions have been calculated.Abstract:
Hyperspherical harmonics expansion method is applied to a three-body model of two neutron halo nuclei. Convergence of the expansion has been ensured. A repulsive part is introduced in the interaction between the core and the extra-core neutron, to simulate Pauli principle. Two neutron separation energy, r.m.s. radii, correlation factor and probability density distributions have been calculated for 6He. It is found that the convergence of the two neutron separation energy is relatively slow, while other quantities reach convergence quickly.read more
Citations
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Journal ArticleDOI
Construction of a one-parameter family of isospectral potential to study resonances in weakly bound halo nuclei
TL;DR: In this paper, a theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials, and the first 0+ resonance in the neutron-rich 22C is calculated assuming a three-body (20C+n+n +n) cluster model.
Journal ArticleDOI
Hyperspherical three-body model calculation for the bound and resonant states of the neutron dripline nuclei 42,44Mg using isospectral potential
TL;DR: In this article, an effective theoretical scheme is presented to investigate ground and resonant levels of weakly bound nuclei near the neutron-dripline, where hyperspherical harmonics expansion method is employed for the bound state while supersymmetric quantum mechanics (SSQM) is used for the resonant state.
Journal ArticleDOI
Study of resonances in exotic neutron-rich 14Be by the use of isospectral potential
TL;DR: In this paper , the authors used Hyperspherical Harmonic Expansion (HHE) formalism aided by supersymmetric quantum mechanics (SSQM) to study bound and resonant states of 14Be in the three-body (12Be+ n + n) cluster model.
Book ChapterDOI
General Many-Body Systems
TL;DR: In this article, a generalized hyperspherical harmonics expansion method is generalized from three-body to A-body system, defining N Jacobi vectors and 3N hyperpherical variables for the relative motion, where N=A-1\).
Journal ArticleDOI
Hyperspherical three-body model calculation for the bound $^{1,3}$S-states of Coulombic systems
TL;DR: In this article, a hyperspherical three-body model formalism has been applied for the calculation energies of the low-lying bound of neutral helium and helium like Coulombic three body systems having nuclear charge (Z) in the range Z=2 to Z=92.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
Bound state properties of Borromean halo nuclei: 6He and 11Li
TL;DR: In this article, a detailed review of bound state properties of loosely bound nuclei is presented, with emphasis on genuine three-body features, and a number of plausible model interactions, including treatments of the Pauli principle, are presented.
Journal ArticleDOI
The Neutron Halo of Extremely Neutron-Rich Nuclei
TL;DR: In this paper, it was shown that low binding of these nuclei will lead to a neutronization of the nuclear surface and possibly to large cross-sections for Coulomb dissociation, which then offers a new way to study clusters and their binding energies.
Journal ArticleDOI
Measurements of interaction cross sections and radii of He isotopes
Isao Tanihata,Hideki Hamagaki,Osamu Hashimoto,S. Nagamiya,Y. Shida,N. Yoshikawa,O. Yamakawa,K. Sugimoto,T. Kobayashi,D.E. Greiner,N. Takahashi,Y. Nojiri +11 more
TL;DR: In this article, the interaction cross sections (σI) of all He isotopes of 790 MeV/nucleon on Be, C, and Al targets were measured by a transmission-type experiment.
Journal ArticleDOI
The renormalized Numerov method applied to calculating bound states of the coupled‐channel Schroedinger equation
TL;DR: In this article, the renormalized numerov method has been generalized to bound states of the coupled-channel Schroedinger equation and a method for detecting wave function nodes is presented.