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The excited states of $^{13}$B were studied with a method of antisymmetrized molecular dynamics(AMD). The theoretical results suggest that the intruder states with large deformations construct the rotational bands, $K^\pi=3/2^-$ and…

Nuclear Theory · Physics 2007-06-26 Yoshiko Kanada-En'yo , Yusuke Kawanami , Yasutaka Taniguchi , Masaaki Kimura

A highly-deformed rotational band has been identified in the N=Z nucleus 36Ar. At high spin the band is observed to its presumed termination at I=16+, while at low spin it has been firmly linked to previously known states in 36Ar. Spins,…

The ground state correlations induced by a general pairing Hamiltonian in a finite system of like fermions are described in terms of four-body correlated structures (quartets). These are real superpositions of products of two pairs of…

Nuclear Theory · Physics 2015-06-15 M. Sambataro , N. Sandulescu

We propose a description of cluster states in nuclei in terms of representations of unitary algebras U(n+1), where n is the number of space degrees of freedom. Within this framework, a variety of situations including both vibrational and…

Nuclear Theory · Physics 2009-11-06 R. Bijker , F. Iachello

The interpretation of nuclear observables in the laboratory frame in terms of the intrinsic deformation parameters beta and gamma is a classical theme in nuclear structure. Here we use the quadrupole invariants (Kumar), calculated within…

Nuclear Theory · Physics 2020-05-20 Alfredo Poves , Frederic Nowacki , Yoram Alhassid

In this contribution, I discuss an algebraic treatment of alpha-cluster nuclei based on the introduction of a spectrum generating algebra for the relative motion of the alpha-clusters. Particular attention is paid to the discrete symmetry…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

A systematic study of 2-quasiparticle bands of the proton-rich odd-odd nuclei in the mass A ~ 70-80 region is performed using the projected shell model approach. The study includes Br-, Rb-, and Y-isotopes with N = Z+2, and Z+4. We describe…

Nuclear Theory · Physics 2009-11-07 R. Palit , J. A. Sheikh , Y. Sun , H. C. Jain

Nuclear structures of the atomic nuclei can be theoretically investigated by using nuclear shell model. Generally, a doubly closed-shell nucleus has been considered as inert core and the nucleons outside the core are taken into account in…

Nuclear Theory · Physics 2020-04-14 Serkan Akkoyun , Tuncay Bayram

Quartetting ($\alpha$-like clustering) occurs in low density matter ($\le 0.03$ fm$^{-3}$) which exists, e.g., at the surface of nuclei. It is of interest for the $\alpha$ preformation to calculate the $\alpha$ decay of heavy nuclei such as…

Nuclear Theory · Physics 2017-08-02 G. Röpke , P. Schuck , C. Xu , Z. Ren , M. Lyu , B. Zhou , Y. Funaki , H. Horiuchi , A. Tohsaki , T. Yamada

We present a detailed formalism of the microscopic particle-rotor model for hypernuclear low-lying states based on a covariant density functional theory. In this method, the hypernuclear states are constructed by coupling a hyperon to…

Nuclear Theory · Physics 2015-04-21 H. Mei , K. Hagino , J. M. Yao , T. Motoba

$\alpha-$decay through a deformed potential barrier produces significant mixing of angular momenta when mapped from the nuclear interior to the outside. Using experimental branching ratios and either semi-classical or coupled-channels…

Nuclear Theory · Physics 2009-01-23 T. L. Stewart , M. W. Kermode , D. J. Beachey , N. Rowley , I. S. Grant , A. T. Kruppa

$\alpha$-clustering study since the pioneering discovery of $^{12}$C+$^{12}$C molecular resonances half a century ago. Our knowledge on physics of nuclear molecules has increased considerably and nuclear clustering remains one of the most…

Nuclear Experiment · Physics 2017-08-23 C. Beck

Shape and multiple shape coexistence of nuclei are investigated throughout the nuclear chart by calculating the low-lying spectra and the quadrupole shape invariants for even-even nuclei with $10\leq Z\leq 104$ from the proton drip line to…

Nuclear Theory · Physics 2023-02-16 Y. L. Yang , P. W. Zhao , Z. P. Li

A multi-shell generalization of a fermion representation of the q-deformed compact symplectic sp_q(4) algebra is introduced. An analytic form for the action of two or more generators of the Sp_q(4) symmetry on the basis states is determined…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer

The evolution of shapes and low-energy shape coexistence is analyzed in neutron-deficient Nd and Sm nuclei, using a five-dimensional quadrupole collective Hamiltonian (5DCH). Deformation energy surfaces, calculated with the relativistic…

Nuclear Theory · Physics 2018-12-05 J. Xiang , Z. P. Li , W. H. Long , T. Nikši\' c , D. Vretenar

The response to the addition of a $\Lambda$ hyperon is investigated for the deformed states such as superdeformation in $^{41}_\Lambda$Ca, $^{46}_\Lambda $Sc and $^{48}_\Lambda$Sc. In the present study, we use the antisymmetrized molecular…

Various applications of quantum algebraic techniques in nuclear structure physics, such as the su$_q$(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of…

Nuclear Theory · Physics 2008-02-03 Dennis Bonatsos , C. Daskaloyannis , P. Kolokotronis , D. Lenis

We have investigated the Gamow-Teller transitions from ${}^{22}\textrm{Ne}$ to ${}^{22}\textrm{Na}$ by applying the isospin projected antisymmetrized molecular dynamics combined with generator coordinate method. We have found that the GT…

Nuclear Theory · Physics 2018-09-11 Hiroyuki Morita , Yoshiko Kanada-En'yo

We study the ring theory of the multiparameter deformations of the quantum Schubert cell algebras obtained from 2-cocycle twists. This is a large family, which extends the Artin-Schelter-Tate algebras of twisted quantum matrices. We…

Rings and Algebras · Mathematics 2012-02-21 Milen Yakimov

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
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