| |
Dirac Equation for Scalar, Vector and Tensor Generalized Cornell Interaction
- 作者:S. Zarrinkamar ; H. Panahi ; M. Rezaei ; M. Baradaran
- 刊名:Few-Body Systems
- 出版年:2016
- 出版时间:March 2016
- 年:2016
- 卷:57
- 期:2
- 页码:109-120
- 全文大小:453 KB
- 参考文献:1.Ginocchio J.N.: Relativistic harmonic oscillator with spin symmetry. Phys. Rev. C 69, 034318 (2004)CrossRef ADS
2.Ginocchio J.N.: Pseudospin as a relativistic symmetry. Phys. Rev. Lett. 78, 436 (1997)CrossRef ADS 3.Page P.R., Goldman T., Ginocchio J.N.: Relativistic symmetry suppresses quark spin-orbit splitting. Phys. Rev. Lett. 86, 204 (2001)CrossRef ADS 4.Ginocchio J.N.: Relativistic symmetries in nuclei and hadrons. Phys. Rep. 414, 165 (2005)CrossRef ADS MathSciNet 5.Lisboa R., Malheiro M., Alberto P., Fiolhais M., de Castro A.S.: Spin and pseudospin symmetries in the antinucleon spectrum of nuclei. Phys. Rev. C 81, 064324 (2010)CrossRef ADS 6.Alberto P., de Castro A.S., Malheiro M.: Spin and pseudospin symmetries of the Dirac equation with confining central potentials. Phys. Rev. C 87, 031301(R) (2013)CrossRef ADS 7.Troltenier D., Bahri C., Draayer J.P.: Generalized pseudo-SU(3) model and pairing. Nucl. Phys. A 586, 53 (1995)CrossRef ADS 8.Cooper F., Khare A., Sukhatme U.: Supersymmetry and quantum mechanics. Phys. Rep. 251, 267 (1995)CrossRef ADS MathSciNet 9.Dong S.H.: Factorization Method in Quantum Mechanics. Springer, Dordrecht (2007)MATH 10.Nikiforov A.F., Uvarov V.B.: Special Functions of Mathematical Physics. Birkhauser, Basel (1988)CrossRef MATH 11.Witten E.: Dynamical breaking of supersymmetry. Nucl. Phys. B 188, 513 (1981)CrossRef ADS MATH 12.Candemir, N., Bayrak, O.: Bound states of the Dirac equation for the generalized Woods–Saxon potential in pseudospin and spin symmetry limits. Mod. Phys. Lett. A doi:10.1142/S0217732314501806 13.Castilho W.M., de Castro A.S.: Scattering and bound states of fermions in a mixed vector–scalar smooth step potential. Ann. Phys. 346, 164 (2014)CrossRef ADS MathSciNet 14.Wei G.F., Dong S.H.: Pseudospin symmetry in the relativistic Manning–Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term. Phys. Lett. B 686, 288 (2010)CrossRef ADS 15.Ortakaya S.: Pseudospin symmetry in position-dependent mass Dirac-Coulomb problem by using Laplace Transform and Convolution Integral . Few-Body Sys. 54, 2073 (2013)CrossRef ADS 16.Hassanabadi H., Maghsoodi E., Zarrinkamar S.: Spin and pseudospin symmetries of Dirac Equation and the Yukawa potential as the tensor interaction. Commun. Theor. Phys. 58, 807 (2012)CrossRef ADS MATH 17.Zarrinkamar S., Rajabi A.A., Hassanabadi H.: Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; the SUSY approach. Ann. Phys. (N. Y.) 325, 2522 (2010)CrossRef ADS MathSciNet MATH 18.de Castro A.S., Alberto P.: Spin and pseudospin symmetries in the Dirac equation with central Coulomb potentials. Phys. Rev. A 86, 032122 (2012)CrossRef ADS 19.Andreev O., Zakharov V.I.: Heavy-quark potentials and AdS/QCD. Phys. Rev. D 74, 025023 (2006)CrossRef ADS 20.White C.D.: The Cornell potential from general geometries in AdS / QCD. Phys. Lett. B 652, 79 (2007)CrossRef ADS 21.Hassanabadi H., Yazarloo B.H., Zarrinkamar S., Rajabi A.A.: Duffin-Kemmer-Petiau equation under a scalar Coulomb interaction. Phys. Rev. C 84, 064003 (2011)CrossRef ADS 22.Dong S.H.: Correlations of spin states for icosahedral double group. Int. J. Theor. Phys. 40, 569 (2001)CrossRef MATH 23.Turbiner A.V.: Quasi-exactly-solvable problems and sl(2) algebra. Commun. Math. Phys. 118, 467 (1988)CrossRef ADS MathSciNet MATH 24.Aghaei S. et al.: Dirac equation and some quasi-exact solvable potentials in the Turbiner’s classification. Commun. Theor. Phys. 60, 296 (2013)CrossRef ADS MathSciNet MATH 25.Ho C.L.: Quasi-exact solvability of Dirac equation with Lorentz scalar potential. Ann. Phys. 321, 2170 (2006)CrossRef ADS MATH 26.Debergh N., Van den Bossche B.: Differential realizations of polynomial algebras in finite-dimensional spaces of monomials. Ann. Phys. 308, 605 (2003)CrossRef ADS MathSciNet MATH 27.Panahi H., Zarrinkamar S., Baradaran M.: Solutions of the D-dimensional Schrodinger equation with Killingbeck potential: lie algebraic approach. Chin. Phys. B 24, 060301 (2015)CrossRef ADS 28.Hassanabadi, H., Maghsoodi, E., Zarrinkamar, S., Rahimov, H.: Dirac equation under scalar, vector, and tensor cornell interactions. Adv. High Energy Phys. (2012) Article ID 707041 29.Castro L.B.: Relating pseudospin and spin symmetries through chiral transformation with tensor interaction. Phys. Rev. C 86, 052201 (2012)CrossRef ADS
- 作者单位:S. Zarrinkamar (1)
H. Panahi (2) M. Rezaei (2) M. Baradaran (2)
1. Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran 2. Department of Physics, University of Guilan, Rasht, 41635-1914, Iran
- 刊物类别:Physics and Astronomy
- 刊物主题:Physics
Elementary Particles and Nuclei Nuclear Physics, Heavy Ions and Hadrons Atoms, Molecules, Clusters and Plasmas
- 出版者:Springer Wien
- ISSN:1432-5411
文摘
We consider spin and pseudospin symmetry limits of Dirac equation in the presence of scalar, vector and tensor generalized Cornell interaction and report the solutions via the quasi-exact analytical ansatz approach.
| |
NGLC 2004-2010.National Geological Library of China All Rights Reserved.
Add:29 Xueyuan Rd,Haidian District,Beijing,PRC. Mail Add: 8324 mailbox 100083
For exchange or info please contact us via email.
| |