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The microscopic description of collectivity in heavy nuclei in the framework of the configuration-interaction shell model has been a major challenge. The size of the model space required for the description of heavy nuclei prohibits the use…

Nuclear Theory · Physics 2015-06-18 C. Özen , Y. Alhassid , H. Nakada

Halo is one of the most interesting phenomena in exotic nuclei especially for $^{31}$Ne, which is deemed to be a halo nucleus formed by a $p-$wave resonance. However, the theoretical calculations don't suggest a $p-$wave resonance using the…

Nuclear Theory · Physics 2017-08-02 Ya-Juan Tian , Quan Liu , Tai-Hua Heng , Jian-You Guo

We propose a novel method for low-lying states of hypernuclei based on the particle-rotor model, in which hypernuclear states are constructed by coupling the hyperon to low-lying states of the core nucleus. In contrast to the conventional…

Nuclear Theory · Physics 2015-06-22 H. Mei , K. Hagino , J. M. Yao , T. Motoba

The Borromean $^6$He nucleus is an exotic system characterized by two `halo' neutrons orbiting around a compact $^4$He (or $\alpha$) core, in which the binary subsystems are unbound. The simultaneous reproduction of its small binding energy…

Nuclear Theory · Physics 2016-11-30 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navratil , Guillaume Hupin

The algebraic cluster model is is applied to study cluster states in the nuclei 12C and 16O. The observed level sequences can be understood in terms of the underlying discrete symmetry that characterizes the geometrical configuration of the…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

Spherical harmonics form a complete orthonormal basis which allows any function on the sphere to be expanded. The nuclear shape of a given eigenstate can thus be described within Bohr's quasi-molecular model by a coordinate transformation…

Nuclear Theory · Physics 2026-05-19 José Nicolás Orce , Manfred Jason Jaftha

A new linked cluster expansion for the calculation of ground state observables of complex nuclei with realistic interactions has been developed [1-3]; using the V8' potential [4] the ground state energy, density and momentum distribution of…

Nuclear Theory · Physics 2007-05-23 M. Alvioli , C. Ciofi degli Atti , I. Marchino , H. Morita

Alpha clustering is an important dynamic in nuclear physics, with growing interest to its study in heavy nuclei in recent years. Theoretically, the microscopic cluster models taking nucleons as relevant degrees of freedom have been widely…

Nuclear Theory · Physics 2025-02-20 Zhen Wang , Dong Bai , Zhongzhou Ren

We report on a novel ab initio approach for nuclear few- and many-body systems with strangeness. Recently, we developed a relevant no-core shell model technique which we successfully applied in first calculations of lightest $\Lambda$…

Nuclear Theory · Physics 2015-06-18 D. Gazda , J. Mareš , P. Navrátil , R. Roth , R. Wirth

Interpreting the small-scale clustering of galaxies with halo models can elucidate the connection between galaxies and dark matter halos. Unfortunately, the modelling is typically not sufficiently accurate for ruling out models…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-08 Manodeep Sinha , Andreas A. Berlind , Cameron K. McBride , Roman Scoccimarro , Jennifer A. Piscionere , Benjamin D. Wibking

We study nature of the low-lying resonance states in mirror nuclei $^{9}$Be and $^{9}$B. Investigations are performed within a three-cluster model. The model makes use of the hyperspherical harmonics, which provides convenient description…

Nuclear Theory · Physics 2017-10-11 V. S. Vasilevsky , K. Katō , N. Zh. Takibayev

We analyze (p,t) two-neutron transfer reactions in a semi-microscopic model. The overlap integrals of the target nucleus are calculated in a microscopic cluster model. The Resonating Group Method (RGM) assumes a cluster structure of the…

Nuclear Theory · Physics 2025-02-26 Pierre Descouvemont

To describe long-range behaviour of one particle removed from a few- or a many-body system, a hyperspherical cluster model has been developed. It has been applied to the ground and first excited states of helium drops with five, six, eight…

Nuclear Theory · Physics 2023-05-31 N. K. Timofeyuk

We describe a new method to treat low-energy scattering problems in few-nucleon systems, and we apply it to the five-body case of neutron-alpha scattering. The method allows precise calculations of low-lying resonances and their widths. We…

Nuclear Theory · Physics 2008-11-26 Kenneth M. Nollett , Steven C. Pieper , R. B. Wiringa , J. Carlson , G. M. Hale

The rapid falloff of the oscillator functions at large radius (Gaussian asymptotics) makes them poorly suited for the description of the asymptotic properties of the nuclear wave function, a problem which becomes particularly acute for halo…

Nuclear Theory · Physics 2014-09-02 M. A. Caprio , P. Maris , J. P. Vary

We derive expressions for cluster overlap integrals or channel cluster form factors for ab initio no-core shell model (NCSM) wave functions. These are used to obtain the spectroscopic factors and can serve as a starting point for the…

Nuclear Theory · Physics 2009-11-10 Petr Navratil

Small- and intermediate-scale galaxy clustering can be used to establish the galaxy-halo connection to study galaxy formation and evolution and to tighten constraints on cosmological parameters. With the increasing precision of galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Zheng Zheng , Hong Guo

The study of the hyperfine anomaly of neutron rich nuclei, in particular, neutron halo nuclei, can give a very specific and unique way to measure their neutron distribution and confirm a halo structure. The hyperfine structure anomaly in…

Nuclear Theory · Physics 2009-08-18 Y. L. Parfenova , Ch. Leclercq-Willain

Detailed structure calculations in $^{\: 12}_{\Xi^-}$Be, $^{\: 5}_{\Xi^-}$H, $^{\: 9}_{\Xi^-}$Li, $^{\: 7}_{\Xi^-}$H and $^{\:10}_{\Xi^-}$Li are performed within the framework of the microscopic two-, three- and four-body cluster models…

Nuclear Theory · Physics 2008-12-18 E. Hiyama , Y. Yamamoto , T. Motoba , Th. A. Rijken , M. Kamimura

The Monte Carlo shell model is firstly applied to the calculation of the no-core shell model in light nuclei. The results are compared with those of the full configuration interaction. The agreements between them are within a few % at most.

Nuclear Theory · Physics 2011-07-12 T. Abe , P. Maris , T. Otsuka , N. Shimizu , Y. Utsuno , J. P. Vary
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