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The transition form factors and angular distributions of the
Ξ
b
β
Ξ
(
1520
)
(
β
N
K
Λ
)
β
+
β
β
\bm{\Lambda_b\to\Lambda(1520)(\to N\bar{K})\ell^+\ell^-}
Ξ
b
β
β
Ξ
(
1520
)
(
β
N
K
Λ
)
β
+
β
β
decay supported by baryon spectroscopy
Authors
Jing Gao
Su-Ping Jin
Yu-Shuai Li
Xiang Liu
Publication date
19 April 2023
Publisher
View
on
arXiv
Abstract
We calculate the weak transition form factors of the
Ξ
b
β
Ξ
(
1520
)
\Lambda_b\to\Lambda(1520)
Ξ
b
β
β
Ξ
(
1520
)
transition, and further calculate the angular distributions of the rare decays
Ξ
b
β
Ξ
(
1520
)
(
β
N
K
Λ
)
β
+
β
β
\Lambda_b\to\Lambda(1520)(\to N\bar{K})\ell^{+}\ell^{-}
Ξ
b
β
β
Ξ
(
1520
)
(
β
N
K
Λ
)
β
+
β
β
(
N
K
Λ
=
{
p
K
β
,
n
K
Λ
0
}
N\bar{K}=\{pK^-,n\bar{K}^0\}
N
K
Λ
=
{
p
K
β
,
n
K
Λ
0
}
) with unpolarized
Ξ
b
\Lambda_b
Ξ
b
β
and massive leptons. The form factors are calculated by the three-body light-front quark model with the support of numerical wave functions of
Ξ
b
\Lambda_b
Ξ
b
β
and
Ξ
(
1520
)
\Lambda(1520)
Ξ
(
1520
)
from solving the semirelativistic potential model associated with the Gaussian expansion method. By fitting the mass spectrum of the observed single bottom and charmed baryons, the parameters of the potential model are fixed, so this strategy can avoid the uncertainties arising from the choice of a simple harmonic oscillator (SHO) wave function of the baryons. With more data accumulated in the LHCb experiment, our result can help for exploring the
Ξ
b
β
Ξ
(
1520
)
β
+
β
β
\Lambda_b\to\Lambda(1520)\ell^+\ell^-
Ξ
b
β
β
Ξ
(
1520
)
β
+
β
β
decay and deepen our understanding on the
b
β
s
β
+
β
β
b\to s\ell^+\ell^-
b
β
s
β
+
β
β
processes.Comment: 21 pages, 9 figures. Accepted by Phys. Rev.
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oai:arXiv.org:2210.04640
Last time updated on 24/11/2022