Abstract
We consider the spin-one Duffin-Kemmer-Petiau (DKP) equation in the presence of a non-minimal vector interaction. For the potential, we consider the generalized coulomb interactions, namely, the generalized Cornell, Richardson, and soft-core terms, which are successful interactions in particle and nuclear physics. None of the resulting equations appears in the form of known equations of mathematical physics. We, therefore, use the idea of the quasi-exact ansatz technique and report the ground-state solutions.
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References
G. Petiau, University of Paris thesis (1936).
N. Kemmer, Proc. Roy. Soc. A 166, 127 (1938).
R. J. Duffin, Phys. Rev. 54, 1114 (1938).
L. J. Kurth, B. C. Clark, E. D. Cooper, S. Hama, R. L. Mercer, L. Ray and G. W. Hoffmann, Phys. Rev. C 50, 2624 (1994).
R. C. Barret and Y. Nedjadi, Nucl. Phys. A 585, 311 (1995).
B. C. Clark, R. J. Furnstahl, L. K. Kerr, J. Rusnak and S. Hama, Phys. Lett. B 427, 231 (1998).
T. R. Cardoso, L. B. Castro and A. S. de Castro, J. Phys. A 43, 055306 (2010).
T. R. Cardoso, L. B. Castro and A. S. de Castro, Can. J. Phys. 87, 1185 (2009).
T. R. Cardoso, L. B. Castro and A. S. de Castro, J. Phys. A 45, 075302 (2012).
L. B. Castro, Eur. Phys. J. C 75, 287 (2015).
S. Hassanabadi and M. Ghominejad, Eur. Phys. J. Plus 129, 273 (2014).
K. Sogut et al., Ann. Phys. 343, 40 (2014).
Y. I. Salamin, S. H. Hu, K. Z. Hatsagortsyan and C. H. Keitel, Phys. Rep. 427, 41 (2006).
J. Von Stecher and C. Greene, Phys. Rev. A 80, 022504 (2009).
A. Kievsky, E. Garrido, C. Romero-Redondo and P. Barletta, Few-Body Sys. 51, 259 (2011).
J. L. Richardson, Phys. Lett. B 82, 272 (1976).
Sh. Banerjee, Phys. Lett. B 611, 27 (2005).
O. Andreev and V. I. Zakharov, Phys. Rev. D 74, 025023 (2006).
C. D. White, Phys. Lett. B 652, 79 (2007).
L. B. Castro and L. P. de Oliveira, AdHEP 2014, Article ID 784072 (2014).
Y. Nedjadi and R. C. Barret, J. Math. Phys. 35, 4517 (1994).
S. H. Dong, Int. J. Theor. Phys. 40, 569 (2001).
S. H. Dong, Wave Equations in Higher Dimensions (2011).
S. H. Dong, Found. Phys. Lett. 15, 385 (2002).
H. Hassanabadi et al., Phys. Rev. C 84, 064003 (2011).
H. Hassanabadi, S. F. Forouhandeh, H. Rahimov and S. Zarrinkamar, Can. J. Phys. 90, 299 (2012).
M. S. Child, S. H. Dong and X. G. Wang, J. Phys. A: Mathematical and General 33, 5653 (2000).
S. H. Dong, Phys. Scr. 65, 289 (2002).
L. B. Castro, Phys. Rev. C 86, 052201 (2012).
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Zarrinkamar, S., Panahi, H. & Rezaei, M. Spin-one DKP equation with generalized coulomb interactions. Journal of the Korean Physical Society 69, 117–123 (2016). https://doi.org/10.3938/jkps.69.117
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DOI: https://doi.org/10.3938/jkps.69.117