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Related papers: SU(3) symmetry breaking in lower fp-shell nuclei

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Shell model and interacting boson model spaces admit multiple $SU^{(\alpha)}(3)$ algebras generating the same rotational spectra but different $E2$ decay properties, depending on the phases ${\alpha}$ in the quadrupole generator. In the…

Nuclear Theory · Physics 2021-11-08 V. K. B. Kota , R. Sahu

We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the structure of the lowest K=0^{+} (K=0_2) collective excitation in deformed nuclei. We consider an interacting boson model Hamiltonian whose ground and gamma bands…

Nuclear Theory · Physics 2009-10-31 A. Leviatan , I. Sinai

Symmetries are manifested in nature through degeneracies in the spectra of physical systems. In the case of heavy deformed nuclei, when described in the framework of the Interacting Boson Model, within which correlated proton (neutron)…

The decays of $B$ mesons to two-body hadronic final states are analyzed within the context of broken flavor SU(3) symmetry, extending a previous analysis involving pairs of light pseudoscalars to decays involving one or two charmed quarks…

High Energy Physics - Phenomenology · Physics 2010-11-01 Michael Gronau , Oscar F. Hernandez , David London , Jonathan L. Rosner

We consider the possibility of identifying nuclei exhibiting the partial dynamical SU(3) symmetry (SU(3)-PDS) as those having excitation energy ratio R(4/2)>3.00 . For this purpose, the level energy spectra of a set of 51 nuclei in the rare…

Nuclear Theory · Physics 2015-06-12 N. Fouladi , J. Fouladi , H. Sabri

We consider an antiferromagnetic four leg spin-1/2 tube using abelian and non-abelian bosonization. We show that in the limit of weak interchain coupling, the most relevant interaction gives rise to an emergent SU(3)} symmetry, broken only…

Strongly Correlated Electrons · Physics 2024-05-17 Edmond Orignac

The structure of nuclei in the lower half of fp shell is investigated by the spectral distribution method using the modified Kuo-Brown interaction. This interaction recently showed success in reproducing observed properties through detailed…

Nuclear Theory · Physics 2008-11-26 K. Kar , S. Sarkar , J. M. G. Gomez , V. R. Manfredi , L. Salasnich

We consider the possibility of identifying nuclei exhibiting the SU(3) dynamical symmetry as those having excitation energy ratio R4/2 >= 3.25. For this purpose, we consider the level statistics of some of these nuclei and perform…

Nuclear Theory · Physics 2010-05-27 A. Y. Abul-Magd , S. A. Mazen , M. Abdel-Mageed , A. Al-Sayed

New BRST-invariant states for SU(3) gauge field theory are presented. The states have finite norms and unlike the states that are usually used to derive path integrals, they break SU(3) symmetry by choosing preferred gauge directions. This…

High Energy Physics - Theory · Physics 2007-05-23 Scott Chapman

The $SU(3)_L\otimes U(1)_X$ symmetry actually studied is directly broken to the electroweak symmetry $SU(2)_L\otimes U(1)_Y$ by a Higgs triplet, predicting a relevant new physics at TeV scale. This work argues, by contrast, that the higher…

High Energy Physics - Phenomenology · Physics 2023-08-09 Phung Van Dong , Duong Van Loi

Evidence of strong coupling of quasiparticle excitations with gamma-vibration is shown to occur in transitional nuclei. High-spin band structures in [166,168,170,172]Er are studied by employing the recently developed multi-quasiparticle…

Nuclear Theory · Physics 2015-06-04 J. A. Sheikh , G. H. Bhat , Yan-Xin Liu , Fang-Qi Chen , Yang Sun

We consider theoretically the paramagnetic phases of EuTiO3 that represent configurations created by two sets of microscopic degrees of freedom (m-DOF): positional symmetry breaking due to octahedral rotations and magnetic symmetry breaking…

Materials Science · Physics 2021-07-02 Oleksandr I. Malyi , Xin-Gang Zhao , Annette Bussmann-Holder , Alex Zunger

We consider several variants of SU(3) partial dynamical symmetry in relation to quadrupole shapes in nuclei. Explicit construction of Hamiltonians with such property is presented in the framework of the interacting boson model (IBM),…

Nuclear Theory · Physics 2020-10-26 A. Leviatan

An extended SU(3) shell model that for the first time explicitly includes unique-parity levels is introduced. Shell-model calculations for the isotopes of $^{64}$Ge and $^{68}$Se are performed where valence nucleons beyond the N=28=Z core…

Nuclear Theory · Physics 2017-08-23 K. P. Drumev , C. Bahri , J. P. Draayer , V. G. Gueorguiev

The first observation of $\bar{B}^0_d\to D^0\bar{K}^0$ and $\bar{B}^0_d\to D^0\bar{K}^{*0}$ transitions by the Belle Collaboration allows us to do a complete isospin analysis of $B\to DK^{(*)}$ decay modes. We find that their respective…

High Energy Physics - Phenomenology · Physics 2011-09-13 Zhi-zhong Xing

We derive analytic expressions for the energies and $B(E2)$-transition probabilities in the states of the ground and $\gamma$ bands of heavy deformed nuclei within a collective Vector-Boson Model with SU(3) dynamical symmetry. On this basis…

Nuclear Theory · Physics 2009-11-06 Nikolay Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , Dennis Bonatsos

The proxy-SU(3) symmetry has been proposed for spin-orbit like nuclear shells using the asymptotic deformed oscillator basis for the single particle orbitals, in which the restoration of the symmetry of the harmonic oscillator shells is…

Calculations in the sd and pf shells reported some time ago by Satu\l a\etal\ [Phys.~Lett.~B~407, 103 (1997)] are redone for an extended analysis of the results. As in the original work, we do calculations for one mass number in each shell…

Nuclear Theory · Physics 2017-12-05 A. Kingan , K. Neergård , L. Zamick

We discuss characteristic features of SU(3) partial dynamical symmetry in relation to nuclear spectroscopy and compare with previous broken-SU(3) calculations for ^{168}Er.

Nuclear Theory · Physics 2008-11-26 Amiram Leviatan , Ilan Sinai

We consider two SU(3) breaking parameters, $R_1(m_B)$ and $R_2(m_B)$, appearing in a relation between $B^+\to K\pi$ and $B^+\to\pi\pi$ amplitudes, which plays an important role in determining the weak phase $\gamma$. We identify an…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Gronau , Dan Pirjol