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The breaking of spin symmetry in the single-particle resonances in deformed nuclei

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Nuclear Science and Techniques 2024年第3期35卷 237-245页

作者： Zhen-Yu Zheng Shou-Wan Chen Quan Liu School of Physics and Optoelectronic Engineering Anhui UniversityHefei 230601China

The exploration of spin symmetry (SS) in nuclear physics has been instrumental in identifying atomic nucleus *** this study,we solve the Dirac equation from the relativistic mean field (RMF) in complex momentum *** investigated SS and its breaking in single-particle resonant states within deformed nuclei,with a focus on the illustrative *** was the initial discovery of a resonant spin doublet in a deformed nucleus,with the expectation of the SS approaching the continuum *** increasing single-particle energy,the splitting of the resonant spin doublets widened *** escalating splitting implies diminishing adherence to the SS,indicating a departure from the expected behavior as the energy levels *** also analyzed the width of the resonant states,showing that lower orbital angular momentum resonances possess shorter decay times and that SS is preserved within broad resonant doublets,as opposed to narrow resonant *** the radial density of the upper components for the bound-state and resonant-state doublets,it becomes evident that while SS is well-preserved in the bound states,it deteriorates in the resonant *** impact of nuclear deformation (β_(2)) on SS was examined,demonstrating that an increase in β_(2) resulted in higher energy and width splitting in the resonant spin doublets,which is attributed to increased component ***,the sensitivity of spin doublets to various potential parameters such as surface diffuseness (a),radius (R),and depth (Σ0) is discussed,emphasizing the role of these parameters in *** study provides valuable insights into the behavior of spin doublets in deformed nuclei and their interplay with the nuclear structure,thereby advancing our understanding of SS in the resonance state.

关键词： spin symmetry Resonant states Deformed nuclei Complex-momentum representation

Polarization effect on the spin symmetry for anti-Lambda spectrum in ^(16)O+■ system

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Chinese Physics C 2010年第9期34卷 1425-1427页

作者：宋春艳尧江明 School of Phyics and State Key Laboratory of Nuclear Physics and TechnologyPeking University School of Physical Science and Technology Southwest University

The polarization effect on the spin symmetry for anti-Lambda spectrum in 16 O＋Λ system has been studied in relativistic mean-field *** PK1 effective interaction is used for nucleon-meson couplings and G-parity symmetry with a reduction factor ξ = 0.3 is adopted for anti-Lambda-meson *** energy differences between spin doublets in the anti-Lambda spectrum are around 0.10-0.73 MeV for p Λ *** dominant components of the Dirac spinor for the anti-Lambda spin doublets are found to be near *** indicates that the spin symmetry is still well-conserved against the polarization effect from the valence antiLambda hyperon,which leads to a highly compressed cold nucleus with the central density up to 2 - 3 times of saturated density.

关键词： lambda and anti-lambda hypernuclei relativistic mean field spin symmetry

Approximate any 1-state solutions of the Dirac equation for modified deformed Hylleraas potential by using the Nikiforov—Uvarov method

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Chinese Physics B 2012年第12期21卷 57-65页

作者： H.Hassanabadi E.Maghsoodi S.Zarrinkamar H.Rahimov Physics Department Shahrood University of TechnologyShahroodIran Department of Basic Sciences Garmsar BranchIslamic Azad UniversityGarmsarIran Computer Engineering Department Shahrood University of TechnologyShahroodIran

We investigate the spin and pseudospin symmetries of the Dirac equation under modified deformed Hylleraas potential via a Pekeris approximation and the Nikiforov-Uvarov technique. A tensor interaction of Coulomb form is considered and its degeneracy-removing role is discussed in detail. The solutions are reported for an arbitrary quantum number in a compact form and useful numerical data are included.

关键词： Dirac equation spin symmetry pseudospin symmetry modified Hylleraas potential

Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential

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Chinese Physics B 2014年第9期23卷 60-61页

作者： L.B.Castro A.S.de Castro Departamento de Física CFM Universidade Federal de Santa Catarina Departamento de Física Universidade Federal do Maranho Campus Universtitrio do Bacanga Departamento de Física e Química Campus de Guaratinguet Universidade Estadual Paulista

The concepts of spin and pseudospin symmetries has been used as mere rhetorics to decorate the pseudoscalar potential [Chin. Phys. B 22 090301 （2013）]. It is also pointed out that a more complete analysis of the bou... 详细信息

关键词： Dirac equation pseudoscalar Comell potential spin symmetry pseudospin symmetry

Arbitrary-state solutions of the Dirac equation for a Mbius square potential using the Nikiforov-Uvarov method

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Chinese Physics C 2013年第4期37卷 26-35页

作者： E.Maghsoodi H.Hassanabadi H.Rahimov S.Zarrinkamar Physics Department Shahrood University of Technology Computer Engineering Department Shahrood University of Technology Department of Basic Sciences Garmsar BranchIslamic Azad University

We inquire into spin and pseudospin symmetries of the Dirac equation under a Mbius square-type potential using the Nikiforov-Uvarov method to calculate the bound state solutions. We numerically discuss the problem a... 详细信息

关键词： Dirac equation spin symmetry pseudospin symmetry Mobius potential

spin and Pseudospin Symmetries of Dirac Equation and the Yukawa Potential as the Tensor Interaction

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Communications in Theoretical Physics 2012年第12期58卷 807-814页

作者： H.Hassanabadi E.Maghsoodi S.Zarrinkamar Physics Department Shahrood University of Technology Department of Basic Sciences Garmsar Branch Islamic Azad University

Considering of a tensor interaction in Dirac equation removes the degeneracy in spin and pseudospin doublets and consequently leads to results consistent with the experimental data. Here, instead of the commonly used Coulomb or linear terms, we investigate a tensor interaction of Yukawa form. We obtain arbitrary state solutions of Dirac equation under vector, scalar and tensor Yukawa potentials via a physical approximation and the Nikiforov-Uvarov methodology. The solutions are discussed in detail.

关键词： Dirac equation spin symmetry pseudospin symmetry tensor interaction Yukawa potential

D-Dimensional Dirac Equation for Energy-Dependent Pseudoharmonic and Mie-type Potentials via SUSYQM

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Communications in Theoretical Physics 2014年第4期61卷 436-446页

作者： A.N.Ikot H.Hassanabadi E.Maghsoodi S.Zarrinkamar Theoretical Physics Group Department of PhysicsUniversity of Uyo Department of Basic Sciences Shahrood BranchIslamic Azad University Civil Engineering Group Alaodoleh Semnani Institute of Higher Education

We investigate the approximate solution of the Dirac equation for energy-dependent pseudoharmonic and Mie-type potentials under the pseudospin and spin symmetries using the supersymmetry quantum mechanics. We obtain the bound-state energy equation in an analytical manner and comment on the system behavior via various figures and tables.

关键词： Dirac equation spin symmetry pseudospin symmetry energy-dependent potential pseudohar-monic potential Mie-type potential

Relativistic particle scattering states with tensor potential and spatially-dependent mass

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Chinese Physics C 2013年第5期37卷 14-21页

作者： M. Eshghi M. R. Abdi Department of Physics Faculty of Science Imam Hossein Comprehensive University Department of Physics Faculty of Science University of Isfahan

We investigate the relativistic equation for particles with spin 1/2 in the q-parameter modified P5schl- Teller potential, including Coulomb-like tensor interaction with spatially-dependent mass for the D-dimension. We present approximate solutions of the Dirac equation with these potentials for any spin-orbit quantum number k under spin symmetry. The normalized wave functions are expressed in terms of the hyper-geometric series of the scattering states on the k/2π scale. We also give the formula for the phase shifts, and use the Nikiforov-Uvarov method to obtain the energy eigen-values equation.

关键词： Dirac equation relativistic scattering states modified PSschl-Teller potential spin symmetry tensor interaction

spin symmetric solutions of Dirac equation with Pschl-Teller potential

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Chinese Physics B 2011年第7期20卷 52-56页

作者： Ferhat Taskin Gkhan Koak Department of Physics Erciyes UniversityKayseri 38039Turkey

The approximate analytical solutions of the Dirac equation with the Poeschl-Teller potential is presented for arbitrary spin-orbit quantum number κ within the framework of the spin symmetry concept. The energy eigenvalues and the corresponding two Dirac spinors are obtained approximately in closed forms. The limiting cases of the energy eigenvalues and the two Dirac spinors are briefly discussed.

关键词： Dirac equation Poeschl-Teller potential spin symmetry