Using the newly measured masses of Bc(1S) and Bc(2S) from the CMS Collaboration and the 1S hyperfine splitting determined from the lattice QCD as constraints, we calculate the Bc mass spectrum up to ...the 6S multiplet with a nonrelativistic linear potential model. Furthermore, using the wave functions from this model we calculate the radiative transitions between the Bc states within a constituent quark model. For the higher mass Bc states lying above DB threshold, we also evaluate the Okubo-Zweig-Iizuka (OZI) allowed two-body strong decays with the 3P0 model. Our study indicates that there is large potential for the observations of the low-lying Bc states below the DB threshold via their radiative transitions; in addition, some higher mass Bc states, such as Bc(23P2), Bc(23D1), Bc(33D1), Bc(43P0), and the 1F-wave Bc states, might be first observed in their dominant strong decay channels DB, DB*, or D*B at the LHC for their relatively narrow widths.
Inspired by the new resonance
Y
(10750), we calculate the masses and two-body OZI-allowed strong decays of the higher vector bottomonium sates within both screened and linear potential models. We ...discuss the possibilities of
Υ
(
10860
)
and
Y
(10750) as mixed states via the
S
-
D
mixing. Our results suggest that
Y
(10750) and
Υ
(
10860
)
might be explained as mixed states between 5
S
- and 4
D
-wave vector
b
b
¯
states. The
Y
(10750) and
Υ
(
10860
)
resonances may correspond to the mixed states dominated by the 4
D
- and 5
S
-wave components, respectively. The mass and the strong decay behaviors of the
Υ
(
11020
)
resonance are consistent with the assignment of the
Υ
(
6
S
)
state in the potential models.
In this paper, we investigate the Bohr radius for
K
-quasiregular sense-preserving harmonic mappings
f
=
h
+
g
¯
in the unit disk
D
such that the translated analytic part
h
(
z
)
-
h
(
0
)
is ...quasi-subordinate to some analytic function. The main aim of this article is to extend and to establish sharp versions of four recent theorems by Liu and Ponnusamy (Bull Malays Math Sci Soc 42:2151–2168, 2019) and, in particular, we settle affirmatively the two conjectures proposed by them. Furthermore, we establish two refined versions of Bohr’s inequalities and determine the Bohr radius for the derivatives of analytic functions associated with quasi-subordination.
Inspired by the newly observed
Ω
b
states by the LHCb Collaboration, we investigate the two-body strong decays of the low-lying
λ
-mode
Ω
b
baryons up to
N
=
2
shell using the chiral quark model ...within the
j
-
j
coupling scheme. Our results indicate that: (i) the newly observed states
Ω
b
(
6316
)
-
and
Ω
b
(
6330
)
-
are good candidates of the light spin
j
=
1
states, while the spin-parity
J
P
=
1
/
2
-
and
J
P
=
3
/
2
-
cannot be distinguished. The other two states,
Ω
b
(
6340
)
and
Ω
b
(
6350
)
mostly correspond to the light spin
j
=
2
states, while the spin-parity
J
P
=
3
/
2
-
and
J
P
=
5
/
2
-
cannot be distinguished as well. (ii) The 2
S
states with spin-parity
J
P
=
1
/
2
+
and
J
P
=
3
/
2
+
, respectively, might be narrow states with a width of
Γ
<
2
MeV. (iii) The 1
D
states are not broad and the total decay widths vary from several to dozens of MeV, which have a good potential to be observed in future experiments.
In this paper, we first provide a brief overview of Landau-type theorems for log-
p
-harmonic mappings. Next, we establish four new versions of Landau-type theorems for certain bounded
p
-harmonic ...mappings
F
with
J
F
(
0
)
=
1
. Then, as applications of these results, the corresponding Landau-type theorems for certain log-
p
-harmonic mappings
f
with
J
f
(
0
)
=
1
are provided. In particular, several sharp results of Landau-type theorems for certain bounded
p
-harmonic mappings or log-
p
-harmonic mappings with
J
f
(
0
)
=
1
are obtained. Finally, we also establish a Landau-type theorem for a certain bounded log-
p
-harmonic mappings with
J
f
(
0
)
=
1
, which improves the corresponding results of different authors.
In this paper, we establish five new sharp versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing Schwarz function in place of the initial coefficients in the ...power series representations of the functions involved and thereby, we generalize several related results of earlier authors.
In this article, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form
$F(z)=\bar {z}G(z)+H(z)$
, where G and H are analytic in the unit disk with
...$G(0)=H(0)=0$
and
$H'(0)=1$
. In particular, two of them are sharp, while the other one either generalizes or improves the corresponding result of Abdulhadi and Hajj. As consequences, several new sharp versions of Landau-type theorems for certain subclasses of bounded biharmonic mappings are proved.
Drug resistance is the main obstacle in the improvement of chemotherapeutic efficacy in glioblastoma. Previously, we showed that dehydroepiandrosterone (DHEA), one kind of androgen/neurosteroid, ...potentiates glioblastoma to acquire resistance through attenuating DNA damage. Androgen receptor (AR) activated by DHEA or other types of androgen was reported to promote drug resistance in prostate cancer. However, in DHEA-enriched microenvironment, the role of AR in acquiring resistance of glioblastoma remains unknown. In this study, we found that AR expression is significantly correlated with poor prognosis, and AR obviously induced the resistance to temozolomide (TMZ) treatment. Herein, we observed that ALZ003, a curcumin analog, induces FBXL2-mediated AR ubiquitination, leading to degradation. Importantly, ALZ003 significantly inhibited the survival of TMZ-sensitive and –resistant glioblastoma in vitro and in vivo. The accumulation of reactive oxygen species (ROS), lipid peroxidation and suppression of glutathione peroxidase (GPX) 4, which are characteristics of ferroptosis, were observed in glioblastoma cell after treatment of ALZ003. Furthermore, overexpression of AR prevented ferroptosis in the presence of GPX4. To evaluate the therapeutic effect in vivo, we transplanted TMZ-sensitive or -resistant U87MG cells into mouse brain followed by intravenous administration with ALZ003. In addition to inhibiting the growth of glioblastoma, ALZ003 significantly extended the survival period of transplanted mice, and significantly decreased AR expression in the tumor area. Taken together, AR potentiates TMZ resistance for glioblastoma, and ALZ003-mediated AR ubiquitination might open a new insight into therapeutic strategy for TMZ resistant glioblastoma.
Display omitted
•ALZ003, the curcumin analog, inhibits TMZ–resistant glioblastoma.•ALZ003 induces AR degradation through FBXL2-mediated ubiquitination.•ALZ003 induces ferroptosis through blocking AR-mediated GPX4 expression.•ALZ003 increases ROS and lipid peroxidation through reducing GPX4 expression.
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