Abstract.
Considering the hyperradial Schrödinger equation in the presence of a potential combination containing harmonic and Deng-Fan-type terms and choosing the harmonic term as parent, we obtain baryonic hyperradial wave function and masses of Lambda baryons. Then, we apply the differential decay width with the Isgur-Wise function to find rates for the semileptonic baryon decay \(\Lambda_{b} \rightarrow \Lambda_{c} \ell \bar{\nu}\). Comparison with other published models is also included.
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References
M.A. Ivanov, V.E. Lyubovitskij, J.G. Körner, P. Kroll, Phys. Rev. D 56, 348 (1997)
V. Rieckert, Phys. Rev. D 47, 3053 (1993)
D. Politzer, M.B. Wise, Phys. Lett. B 206, 681 (1988)
M. Sadzikowski, Acta Phys. Pol. B 26, 835 (1995)
N. Isgur, M.B. Wise, Phys. Lett. B 237, 527 (1990)
D. Chakraverty, T. De, B. Dutta-Roy, K.S. Gupta, Int. J. Mod. Phys. A 14, 2385 (1999)
H. Hassanabadi, A.A. Rajabi, S. Zarrinkamar, Mod. Phys. Lett. A 23, 527 (2008)
F. Jugeau, arXiv:1202.4630
M.Q. Huang, J.P. Lee, C. Liu, H.S. Song, Phys. Lett. B 502, 133 (2001)
D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 73, 094002 (2006)
K.C. Bowler et al., Phys. Rev. D 57, 6948 (1998)
C. Liu, Phys. Rev. D 57, 1991 (1998)
A. Sharma, R. Dhir, R.C. Verma, Eur. Phys. J. C 71, 1538 (2011)
Z.H. Deng, Y.P. Fan, A potential function of diatomic molecules, in Shandong University Journal, Vol. 7 (1957) article 162
S.H. Dong, Commun. Theor. Phys. 55, 969 (2011)
H. Hassanabadi, S. Rahmani, Eur. Phys. J. Plus 131, 34 (2016)
A.N. Ikot, Chin. Phys. Lett. 29, 060307 (2012)
Particle Data Group Collaboration (K.A. Olive et al.), Chin. Phys. C 38, 090001 (2014)
X.-H. Guo, T. Muta, Phys. Rev. D 54, 4629 (1996)
The BABAR Collaboration (B. Aubert et al.), Phys. Rev. Lett. 104, 011802 (2010)
R. Singleton Jr., Phys. Rev. D 43, 2939 (1991)
J.G. Korner et al., Prog. Part. Nucl. Phys. 33, 787 (1994)
S.S. Yu, arXiv:hep-ex/0504059 (2005)
M.-Q. Huang, H.-Y. Jin, J.G. Körner, C. Liu et al., Phys. Lett. B 629, 27 (2005)
A. Majethiya, K. Thakkar, P.C. Vinodkumar, arXiv:1102.4160
S. Eidelman et al., Phys. Lett. B 592, 1 (2004)
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Rahmani, S., Hassanabadi, H. Semileptonic decay properties of \(\Lambda_{b}\) baryon in potential model. Eur. Phys. J. Plus 131, 260 (2016). https://doi.org/10.1140/epjp/i2016-16260-x
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DOI: https://doi.org/10.1140/epjp/i2016-16260-x