Approximate solutions of the spin and pseudospin symmetries under coshine Yukawa tensor interaction.
Dirac equation
Pseudospin symmetry
Spin symmetry
Tensor interaction
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
26 Apr 2024
26 Apr 2024
Historique:
received:
09
05
2023
accepted:
03
04
2024
medline:
27
4
2024
pubmed:
27
4
2024
entrez:
26
4
2024
Statut:
epublish
Résumé
The approximate solutions of the Dirac equation for spin symmetry and pseudospin symmetry are studied with a coshine Yukawa potential model via the traditional supersymmetric approach (SUSY). To remove the degeneracies in both the spin and pseudospin symmetries, a coshine Yukawa tensor potential is proposed and applied to both the spin symmetry and the pseudospin symmetry. The proposed coshine tensor potential removes the energy degenerate doublets in both the spin symmetry and pseudospin symmetry for a very small value of the tensor strength (H = 0.05). This shows that the coshine Yukawa tensor is more effective than the real Yukawa tensor. The non-relativistic limit of the spin symmetry is obtained by using certain transformations. The results obtained showed that the coshine Yukawa potential and the real Yukawa potential has the same variation with the angular momentum number but the variation of the screening parameter with the energy for the two potential models differs. However, the energy eigenvalues of the coshine Yukawa potential model, are more bounded compared to the energies of the real Yukawa potential model.
Identifiants
pubmed: 38671011
doi: 10.1038/s41598-024-58847-5
pii: 10.1038/s41598-024-58847-5
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
9583Informations de copyright
© 2024. The Author(s).
Références
Dehesa, J. S., Gonzảlez-Fẻrez, R. & Sảnchez-Moreno, P. Fisher-information-based uncertainty relation, Cramer-Rao inequality and kinetic energy for D-dimensional central problem. J. Phys. A Math. Theor. 40, 1845–1856 (2007).
doi: 10.1088/1751-8113/40/8/011
Dehesa, J. S., Lόpez-Rosa, S. & Olmos, B. Fisher information of D-dimensional hydrogenic systems in position and momentum spaces. J. Math. Phys. 47, 052104 (2006).
doi: 10.1063/1.2190335
Dehesa, J. S., Martinez-Finkelshtein, A. & Sorokin, V. N. Information-theoretic measures for Morse and Pὅschl-Teller potentials. Mol. Phys. 104, 613–622 (2006).
doi: 10.1080/00268970500493243
Yahya, W. A., Oyewumi, J. K. & Sen, K. D. Position and momentum information-theoretic measures of the pseudoharmonic potential. Int. J. Quant. Chem. 115, 1543–1552 (2015).
doi: 10.1002/qua.24971
Falaye, B. J., Oyewumi, K. J., Ikhdair, S. M. & Hamzavi, M. Eigensolution techniques, their applications and Fisher information entropy of the Tietz-Wei diatomic molecular model. Phys. Scr. 89, 115204 (2014).
doi: 10.1088/0031-8949/89/11/115204
Falaye, B. J., Serreano, F. A. & Dong, S. H. Fisher information for the position-dependent mass Schrodinger system. Phys. Lett. A 380, 267–271 (2016).
doi: 10.1016/j.physleta.2015.09.029
Onate, C. A. & Onyeaju, M. C. Fisher information of a vector potential for time-dependent Feinberg-Horodecki equation. Int. J. Quant. Chem. 2020, e26543 (2020).
Romera, E., Sảnchez-Moreno, P. And Dehesa, J. S. The Fisher information of single-particle systems with a central potential. Chem. Phys. Lett. 414: 468–472 (2005).
Roman, F. N. Use of Fisher information in quantum chemistry. Int. J. Quant. Chem. 108, 2230–2252 (2008).
doi: 10.1002/qua.21752
Chatterjee, S. Fisher information for the Morse oscillator. Rep. Math. 85, 281–291 (2020).
doi: 10.1016/S0034-4877(20)30030-6
Akpan, I. O., Antia, A. D. & Ikot, A. N. Bound-state solutions of the Klein-Gordon Equation with -deformed equal scalar and vector Eckart potential using a newly improved approximation scheme. Int. School Res. Notices 798209, 13p (2012).
Ahmadov, I., Aslanova, S. M., Orujova, MSh. & Badalov, S. V. Analytical bound state solutions of the Klein-Fock-Gordon equation for the sum of Hulthén and Yukawa potential within SUSY Quantum Mechanics. Adv. High Energy Phys. 2021, 8830063 (2021).
doi: 10.1155/2021/8830063
Tazimi, N. & Ghasempour, A. Bound state solutions of three-dimensional Klein-Gordon equation for two model potentials by NU method. Adv. High Energy Phys. 2020, 2541837 (2020).
doi: 10.1155/2020/2541837
Nagiyev, Sh. M., Ahmadov, A. I. & Tarverdiyeva, V. A. Approximate solutions to the Klein-Fock-Gordon equation for the sum of Coulomb and ring-shaped-like potentials. Adv. High Energy Phys. 2020, 1356384 (2020).
doi: 10.1155/2020/1356384
Ikhdair, S. M. & Sever, R. Two approximation schemes to the bound states of the Dirac-Hulthẻn problem. J. Phys. A Math. Theor. 44, 355301 (2011).
doi: 10.1088/1751-8113/44/35/355301
Dong, S.-H. & Ma, Z.-Q. Exact solutions to the Dirac equation with a Coulomb potential in 2+1 dimensions. Phys. Lett. A 312, 78–83 (2003).
doi: 10.1016/S0375-9601(03)00606-6
Soylu, A., Bayrak, O. & Boztosun, I. k state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry. J. Phys. A Math. Theor. 41, 065308 (2008).
doi: 10.1088/1751-8113/41/6/065308
Bayrak, O. & Boztosun, I. The pseudospin symmetric solution of the Morse potential for any k state. J. Phys. A Math. Theor. 40, 1119–11127 (2007).
doi: 10.1088/1751-8113/40/36/012
Dudek, J., Nazarewicz, W., Szymanski, Z. & Leander, G. A. Abundance and systematics of nuclear superdeformed states; relation to the pseudospin and pseudo-SU(3) symmetries. Phys. Rev. Lett. 59, 1405 (1987).
pubmed: 10035226
doi: 10.1103/PhysRevLett.59.1405
Bohr, A., Hamamoto, I. & Mottelson, B. P. Pseudospin in rotating nuclear potentials. Phys. Scr. 26, 267 (1982).
doi: 10.1088/0031-8949/26/4/003
Garcia, M. G., Pratapsi, S., Alberto, P. & de Castro, A. S. Pure Coulomb tensor interaction in the Dirac equation. Phys. Rev. A 99, 062101 (2019).
doi: 10.1103/PhysRevA.99.062102
Ikhdair, S. M. & Falaye, B. J. Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction. Eur. Phys. J. Plus 129, 1–15 (2014).
doi: 10.1140/epjp/i2014-14001-y
Hamzavi, M., Rajabi, A. A. & Hassanabadi, H. Exactly complete solutions of the Dirac equation with pseudoharmonic potential including linear plus Coulomb-like tensor potential. Int. J. Mod. Phys. A 26, 1363–1374 (2011).
doi: 10.1142/S0217751X11052852
Yahya, W. A., Falaye, B. J., Oluwadare, O. J. & Oyewumi, K. J. Solutions of the Dirac equation with the shifted Deng-Fan potential including Yukawa-like tensor interaction. Int. J. Mod. Phys. E 22, 1350062 (2013).
doi: 10.1142/S0218301313500626
Ekong, S. A. et al. Thermodynamic evaluation of coshine Yukawa potential (CYP) for some diatomic molecule systems. Res. Square https://doi.org/10.21203/rs.3.rs-2090492/v1 (2000).
doi: 10.21203/rs.3.rs-2090492/v1
Ginocchio, J. N. The relativistic foundations of pseudospin symmetry in nuclei. Nucl. Phys. A 654, 663c (1999).
doi: 10.1016/S0375-9474(00)88522-X
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, 288–292 (2010).
doi: 10.1016/j.physletb.2010.02.070
Wei, G.-F. & Dong, S.-H. Algebraic approach to pseudospin symmetry for Dirac equation with scalar and vector modified Pὅschl-Teller potentials. Europhys. Lett. 8, 40004 (2009).
doi: 10.1209/0295-5075/87/40004
Ginocchio, J. N. A relativistic symmetric symmetry in nuclei. Phys. Rep. 315, 231–240 (1999).
doi: 10.1016/S0370-1573(99)00021-6
Wei, G. F. & Dong, S.-H. A novel algebraic approach to spin symmetry for the Dirac equation with scalar and vector modified Pöschl-Teller potentials. Eur. Phys. J. A 43, 185–190 (2010).
doi: 10.1140/epja/i2009-10901-8
Cheng, Y.-F. & Dai, T.-Q. Solution of the Dirac equation for ring-shaped modified Kratzer potential. Commun. Theor. Phys. 48, 431 (2007).
doi: 10.1088/0253-6102/48/3/009
Guo, J.-Y., Han, J.-C. & Wang, R.-D. Pseudospin symmetry and relativistic ring-shaped non-spherical harmonic oscillator. Phys. Lett. A 353, 378–382 (2006).
doi: 10.1016/j.physleta.2006.01.003
Bayrak, O. & Boztosun, I. The pseudospin symmetric solution of the Morse potential for any k state. J. Phys. A Math. Theor. 40, 11119 (2007).
doi: 10.1088/1751-8113/40/36/012
Chen, C.-Y. Exact solutions of the Dirac equation with scalar and vector Hartmann potentials. Phys. Lett. A 339, 283–287 (2005).
doi: 10.1016/j.physleta.2005.03.031
Jia, C.-S. et al. Solutions of the Dirac equations with the Pὅschl-Teller potential. Eur. Phys. J. A 34, 41–48 (2007).
doi: 10.1140/epja/i2007-10486-2
Hassanabadi, H., Maghsoodi, E. & Zarrinkamar, S. Relativistic symmetries of Dirac equation and the Tietz potential. Eur. Phys. J. Plus 127, 31 (2012).
doi: 10.1140/epjp/i2012-12031-1
Cooper, F., Khare, A. & Sukhatme, U. Supersymmetry in quantum mechanics. Phys. Rep. 251, 267 (1995).
doi: 10.1016/0370-1573(94)00080-M
Hassanabadi, H., Maghsoodi, E., Zarrinkamar, S. & Rahimov, H. An approximate solution of the Dirac equation for hyperbolic scalar and vector potentials and a Coulomb tensor interaction by SUSY QM. Mod. Phys. Lett. A 26, 2703 (2011).
doi: 10.1142/S0217732311037091
Hassanabadi, H. et al. Approximate analytical solutions to the generalized Pӧschl-Teller potential in D dimensions. Chin. Phys. Lett. 29, 020303 (2012).
doi: 10.1088/0256-307X/29/2/020303
Maghsoodi, E., Hassanabadi, H. & Zarrinkamar, S. Spectrum of Dirac equation under Deng-fan scalar and vector potentials and Coulomb tensor interaction by SUSY QM. Few Boby-Syst. https://doi.org/10.1007/s00601-012-0314-5 (2012).
doi: 10.1007/s00601-012-0314-5
Zarrinkamar, S., Rajabi, A. A., Hassanabadi, H. & Rahimov, H. Analytical treatment of the two-body spinless Salpeter equation with the Hulthén potential. Phys. Scr. 84, 0065008 (2011).
doi: 10.1088/0031-8949/84/06/065008
Zarrinkamar, S., Rajabi, A. A. & Hassanabadi, H. Dirac equation for the harmonic scalar and vector potentials and linear plus Coulomb like tensor potential by SUSY approach. Ann. Phys. 325, 2522 (2010).
doi: 10.1016/j.aop.2010.05.013
Hassanabadi, H., Zarrinkamar, S. & Rahimov, H. Approximate solution of the D-dimensional Klein-Gordon equation with Hulthẻn-type potential via SUSYQM. Commun. Theor. Phys. 56, 423–428 (2011).
doi: 10.1088/0253-6102/56/3/05
Jia, C.-S., Chen, T. & He, S. Bound state solutions of the Klein-Gordon equation with the improved expression of the Manning-Rosen potential energy model. Phys. Lett. A 377, 682–686 (2013).
doi: 10.1016/j.physleta.2013.01.016
Hassanabadi, H., Lu, L. L., Zarrinkamar, S., Liu, G. & Rahimov, H. Approximate solutions of Schrὅdinger equation under Manning-Rosen potential in arbitrary dimension via SUSYQM. Acta Phys. Polon. 122, TEMP-1111 (2012).
Maghsoodi, E., Hassanabadi, H. & Aydoḡu, O. Dirac particles in the presence of the Yukawa potential plus a tensor interaction in SUSYQM framework. Phys. Scr. 86, 015005 (2012).
doi: 10.1088/0031-8949/86/01/015005
Feynman, R. P. Forces in molecules. Phys. Rev. 56, 340–343 (1939).
doi: 10.1103/PhysRev.56.340
Hamzavi, M., Thylwe, K. E. & Rajabi, A. A. Approximate bound state solutions of the Hellmann potential. Commun. Theor. Phys. 60, 1–8 (2013).
doi: 10.1088/0253-6102/60/1/01