Form factors of $$P\rightarrow T$$ transition within the light-front quark models
Abstract In this paper, we calculate the vector, axial-vector and tensor form factors of $$P\rightarrow T$$ P → T transition within the standard light-front (SLF) and covariant light-front (CLF) quark models (QMs). The self-consistency and Lorentz covariance of CLF QM with two types of correspondenc...
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Published in | The European physical journal. C, Particles and fields Vol. 82; no. 5 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
01.05.2022
|
Online Access | Get full text |
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Summary: | Abstract
In this paper, we calculate the vector, axial-vector and tensor form factors of
$$P\rightarrow T$$
P
→
T
transition within the standard light-front (SLF) and covariant light-front (CLF) quark models (QMs). The self-consistency and Lorentz covariance of CLF QM with two types of correspondence schemes are investigated. The zero-mode effects and the spurious
$$\omega $$
ω
-dependent contributions to the form factors of
$$P\rightarrow T$$
P
→
T
transition are analyzed. Employing a self-consistent CLF QM, we present our numerical predictions for the vector, axial-vector and tensor form factors of
$$c\rightarrow (q,s)$$
c
→
(
q
,
s
)
(
$$q=u,d$$
q
=
u
,
d
) induced
$$D \rightarrow (a_2,K^*_2)$$
D
→
(
a
2
,
K
2
∗
)
,
$$D_s \rightarrow (K^*_2,f'_{2})$$
D
s
→
(
K
2
∗
,
f
2
′
)
,
$$\eta _c(1S) \rightarrow (D^*_2,D^*_{s2})$$
η
c
(
1
S
)
→
(
D
2
∗
,
D
s
2
∗
)
,
$$ B_c \rightarrow (B^*_2,B^*_{s2})$$
B
c
→
(
B
2
∗
,
B
s
2
∗
)
transitions and
$$b\rightarrow (q,s,c)$$
b
→
(
q
,
s
,
c
)
induced
$$B \rightarrow (a_2,K^*_2,D^*_2)$$
B
→
(
a
2
,
K
2
∗
,
D
2
∗
)
,
$$B_s \rightarrow (K^*_2,f'_2,D^*_{s2})$$
B
s
→
(
K
2
∗
,
f
2
′
,
D
s
2
∗
)
,
$$B_c \rightarrow (D^*_2,D^*_{s2},\chi _{c2}(1P))$$
B
c
→
(
D
2
∗
,
D
s
2
∗
,
χ
c
2
(
1
P
)
)
,
$$\eta _b(1S) \rightarrow (B^*_2,B^*_{s2})$$
η
b
(
1
S
)
→
(
B
2
∗
,
B
s
2
∗
)
transitions. Finally, in order to test the obtained form factors, the semileptonic
$$B\rightarrow {\bar{D}}_2^*(2460)\ell ^+\nu _\ell $$
B
→
D
¯
2
∗
(
2460
)
ℓ
+
ν
ℓ
(
$$\ell =e,\mu $$
ℓ
=
e
,
μ
) and
$${\bar{D}}_2^*(2460)\tau ^+\nu _{\tau }$$
D
¯
2
∗
(
2460
)
τ
+
ν
τ
decays are studied. It is expected that our results for the form factors of
$$P\rightarrow T$$
P
→
T
transition can be applied further to the relevant phenomenological studies of meson decays. |
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ISSN: | 1434-6052 1434-6052 |
DOI: | 10.1140/epjc/s10052-022-10391-0 |