Dirac Equation for Scalar, Vector and Tensor Generalized Cornell Interaction
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- 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.