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Sum rules for $B(M1,0^+_1\rightarrow1^+_i)$ strength are derived for even-even nuclei in the isospin-invariant forms of the IBM, IBM-3 and IBM-4, in the cases where the respective natural internal symmetries, isospin $U$(3) and $U(6)\supset…

Nuclear Theory · Physics 2009-10-28 P. Halse , P. Van Isacker , B. R. Barrett

The connections between the X(5)-models (the original X(5) using an infinite square well, X(5)-$\beta^8$, X(5)-$\beta^6$, X(5)-$\beta^4$, and X(5)-$\beta^2$), based on particular solutions of the geometrical Bohr Hamiltonian with harmonic…

Nuclear Theory · Physics 2014-11-21 J. Barea , J. M. Arias , J. E. García-Ramos

Spin-1 tunneling and splitting of energy levels as a result of tunneling are observed explicitly on IBM's quantum computer, ibmq-bogota. The spin-1 is realized with two spins-1/2. We detect oscillations of spin-1 between the states…

Quantum Physics · Physics 2022-01-25 Kh. P. Gnatenko , V. M. Tkachuk

We propose a method for detection of energy levels of arbitrary spin system on a quantum computer based on studies of evolution of only one probe spin. On the basis of the proposed method energy levels of spin systems are found on IBM's…

Quantum Physics · Physics 2023-01-05 Kh. P. Gnatenko , H. P. Laba , V. M. Tkachuk

Bosonic quantum systems operate in an infinite-dimensional Hilbert space, unlike discrete-variable quantum systems. This distinct mathematical structure leads to fundamental differences in quantum information processing, such as an…

Quantum Physics · Physics 2025-09-05 Varun Upreti , Dorian Rudolph , Ulysse Chabaud

A coherent state technique is used to generate an Interacting Boson Model (IBM) Hamiltonian energy surface that simulates a mean field energy surface. The method presented here has some significant advantages over previous work.…

Nuclear Theory · Physics 2015-03-18 I. Bentley , S. Frauendorf

A theoretical investigation has been carried out to examine the effects of dynamical triaxility and configuration mixing on the $B(E2)$ anomaly, characterized by $B_{4/2}=B(E2;4_1^+\rightarrow2_1^+)/B(E2;2_1^+\rightarrow0_1^+)<1.0$ and…

Nuclear Theory · Physics 2025-09-11 Wei Teng , Sheng Nan Wang , Xian Zhi Zhao , Yu Zhang

Shell model calculations are performed for magnetic dipole excitations in $^8{Be}$ and $^{10}{Be}$ in which all valence configurations plus $2\hbar\omega$ excitations are allowed (large space). We study both the orbital and spin…

Nuclear Theory · Physics 2009-10-28 M. S. Fayache , S. Shelly Sharma , L. Zamick

We show that the time dependence of mean value of a physical quantity is related with the transition energies of a quantum system. In the case when the operator of a physical quantity anticommutes with the Hamiltonian of a system, studies…

Quantum Physics · Physics 2021-12-06 Kh. P. Gnatenko , H. P. Laba , V. M. Tkachuk

We investigate the role of energy, i.e. average photon number, as a resource in the computational complexity of bosonic systems. We show three sets of results: (1. Energy growth rates) There exist bosonic gate sets which increase energy…

The connections between the $E(5)-$models (the original E(5) using an infinite square well, $E(5)-\beta^4$, $E(5)-\beta^6$ and $E(5)-\beta^8$), based on particular solutions of the geometrical Bohr Hamiltonian with $\gamma$-unstable…

Nuclear Theory · Physics 2008-11-26 J. E. Garcia-Ramos , J. M. Arias

Even--even nuclei in the $A\sim100$ mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum,…

Nuclear Theory · Physics 2012-01-27 M. Böyükata , P. Van Isacker , I. Uluer

The Belle-II experiment is expected to collect large data samples at the $\Upsilon(4S)$ and $\Upsilon(5S)$ resonances to study primarily $B$ and $B_s$ mesons. We discuss what other data above the $B\bar{B}$ threshold are of interest. We…

High Energy Physics - Phenomenology · Physics 2017-03-08 A. E. Bondar , R. V. Mizuk , M. B. Voloshin

The connections between the $E(5)-$models (the original E(5) using an infinite square well, $E(5)-\beta^4$, $E(5)-\beta^6$ and $E(5)-\beta^8$), based on particular solutions of the geometrical Bohr Hamiltonian with $\gamma$-unstable…

Nuclear Theory · Physics 2009-02-26 J. E. Garcia-Ramos , J. M Arias

Nuclear binding energies and two-neutron separation energies are analyzed starting from the liquid-drop model and the nuclear shell model in order to describe the global trends of the above observables. We subsequently concentrate on the…

Nuclear Theory · Physics 2009-11-07 R. Fossion , C. De Coster , J. E. Garcia-Ramos , T. Werner , K. Heyde

Properties of Xe isotopes isotopes are studied in the U(5)<->O(6) transitional region of Interacting Boson Model (IBM-1). The energy levels and B(E2)transition rates are calculated via the affine SU(1,1)Lie Algebra. The agreement with the…

Nuclear Theory · Physics 2013-04-02 M. A. Jafarizadeh , N. Fouladi , H. Sabri

It was shown recently that the discrete scaling symmetry, which underlies the Efimov effect in the three identical boson system with two-body short-range interactions, survives when single-particle 1D spin-orbit coupling terms are added to…

Quantum Gases · Physics 2019-10-30 Qingze Guan , Doerte Blume

In this paper we study in detail different types of topological solitons which are possible in bilayer quantum Hall systems at filling fraction $\nu =1$ when spin degrees of freedom are included. Starting from a microscopic Hamiltonian we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sankalpa Ghosh , R. Rajaraman

A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given…

Nuclear Theory · Physics 2019-12-18 Kosuke Nomura

In this paper we analyze the process $B_s \to \ell^+ \ell^-$ in a model II 2HDM and MSSM. All the leading terms of Wilson coefficients relevant to the process are given in the large tan$\beta$ limit. It is shown that the decay width for…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chao-Shang Huang , LIAO Wei , Qi-Shu Yan , Shou-Hua Zhu
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