 to pop, shake pot gently back and forth over the burner, lifting it up and shaking from time to time, until the popping slows. When the popping slows immediately dump popped corn in a large bowl and sprinkle with salt and/or other toppings.The Radisson Blu Hotel & Spa, Limerick is the perfect venue for to come away, build bonds and have a whole lot of fun. We proudly partner with local companies to offer a massive range of team-building facilities that make memories and a more trusting, cohesive and engaged team. We are conveniently located next to the M18 motorway, only 10 minutes from Limerick City and 15 minutes from Shannon Airport so that your team, whether that be corporate or club, can go the distance without having to travel the distance. We are surrounded by 20 acres of luscious parkland perfectly suited for various outdoor team-building exercises. Our on-site facilities include Ireland’s largest climbing wall, archery and tag and have each been skilfully designed to leave everyone with great memories and new friendships. We also have an 800m walking and jogging trail, a tennis court, a basketball court and a fully-equipped leisure centre with indoor pool, gym, thermal suite and outdoor hot tub. Offsite, we have access to a number of state-of-the-art facilities like Cratloe Woods Assault Course, Limerick IT and University of Limerick Sports Centre.
This is not correct.  The bullets themselves do not travel upwards after leaving the gun.  There is simply no physical way to make this happen (Except with spherical projectiles, and some [paintball markers](http://www.tippmann.com/flatline.aspx) use this) The example you give would be for a M16 sighted in at 45 meters, meaning for a target 45 meters away, the sight picture is vertically matched to the target.  

In regards to pistol ballistics, if the gangsta was using the sights on the pistol, the pistol was sighted for a long range, and he was holding the gun all gangster-style, then yes, he could miss the targets.  This is a moot point, however, because the gangster was not using the pistol sights. 

[Wikipedia](http://en.wikipedia.org/wiki/External_ballistics#Forces_acting_on_the_projectile) has a good page for more information.\section{introduction}
The two-body decays of
$\Lambda_b\to \Lambda_c^+ K^-$, $\Lambda_c^+ \pi^-$, 
$\Lambda_c^+ D^-$, and $\Lambda_c^+ D_s^-$
can be viewed as through the $\Lambda_b\to \Lambda_c$ transition along with
the recoiled mesons $K^-$, $\pi^-$, $D^-_s$ and $D^-$, respectively, such that 
one may use the factorization ansatz to get the fractions of the branching ratios as
\begin{eqnarray}
{\cal R}_{K/\pi}&\equiv&
\frac{{\cal B}(\Lambda_b\to \Lambda_c^+ K^-)}{{\cal B}(\Lambda_b\to \Lambda_c^+\pi^-)}
\simeq \frac{(|V_{us}|f_K)^2}{(|V_{ud}|f_\pi)^2}=0.073\,,\nonumber\\
{\cal R}_{D/D_s}&\equiv&
\frac{{\cal B}(\Lambda_b\to \Lambda_c^+ D^-)}{{\cal B}(\Lambda_b\to \Lambda_c^+D_s^-)}
\simeq \frac{(|V_{cd}|f_D)^2}{(|V_{cs}|f_{D_s})^2}=0.034\,,
\end{eqnarray}
which are in agreement with the data, given by~\cite{Aaij:2013pka,Aaij:2014pha}
\begin{eqnarray}\label{RKpi}
{\cal R}_{K/\pi}=0.0731\pm 0.0016\pm 0.0016\,,\;
{\cal R}_{D/D_s}=0.042\pm 0.003\pm 0.003\,.
\end{eqnarray}
In the same picture, the measured ${\cal B}(\Lambda_b\to pK^-,p\pi)$
can be also explained~\cite{pdg,Hsiao:2014mua}.
In addition, the direct CP violating asymmetry of $\Lambda_b\to p K^{*-}$ is predicted
as large as 20\%~\cite{Geng:2006jt}.  

On the other hand, the branching ratios of $\Lambda_b\to D^-_s p$, 
$\Lambda_b\to J/\psi \Lambda$ and $\Xi_b^-\to J/\psi \Xi^-$
are shown as~\cite{pdg,Aaij:2014lpa}
\begin{eqnarray}
\label{Bb_fBb}
{\cal B}(\Lambda_b\to D^-_s p)&=&
(2.7\pm 1.4\pm 0.2\pm 0.7\pm 0.1\pm 0.1)\times 10^{-4}\; \text{or} \nonumber\\
&<&4.8(5.3)\times 10^{-4}\;\text{at 90\%\,(95\%) C.L.}\,,\nonumber\\
{\cal B}(\Lambda_b\to J/\psi \Lambda)&=&(3.0\pm 1.1)\times 10^{-4}\,,\nonumber\\
{\cal B}(\Xi_b^-\to J/\psi \Xi^-)&=&(2.0\pm 0.9)\times 10^{-4}\,,
\end{eqnarray}
with ${\cal B}(\Lambda_b\to J/\psi \Lambda)$ and ${\cal B}(\Xi_b^-\to J/\psi \Xi^-)$
converted from the partial observations of
${\cal B}(\Lambda_b\to J/\psi \Lambda)f_{\Lambda_b}=(5.8\pm 0.8)\times 10^{-5}$ and
${\cal B}(\Xi_b^-\to J/\psi \Xi^-)f_{\Xi_b^-}=(1.02^{+0.26}_{-0.21})\times 10^{-5}$, where
$f_{\Lambda_b}=0.175\pm 0.106$ and $f_{\Xi_b}=0.019\pm 0.013$ are the fragmentation fractions of 
the $b$ quark to $b$-baryons of $\Lambda_b$ and $\Xi_b$~\cite{fLb}, respectively. 
Nonetheless, for these  ${\cal B}_b\to {\cal B}_n M_c$ decays in Eq.~(\ref{Bb_fBb}),
the theoretical understanding is still lacking.
Since the factorization approach is expected  to be reliable in studying the branching ratios of
${\cal B}_b\to {\cal B}_n M_c$, in this report, 
we shall systematically analyze the branching ratios 
for all possible ${\cal B}_b\to {\cal B}_n M_c$ decays, and 
compare them with the experimental data at the $B$-factories, as well as the LHCb,
where ${\cal B}_b$, ${\cal B}_n$ and $M_c$ correspond to 
the anti-triplet $b$-baryon of $(\Lambda_b,\Xi_b^0,\Xi_b^-)$,   
 baryon octet and  charmed meson, respectively.


\section{Formalism}
\begin{figure}[t!]
\centering
\includegraphics[width=2.5in]{LbtopMc1.eps}
\includegraphics[width=2.5in]{LbtopMc2.eps}
\caption{Diagrams for two-body charmful ${\cal B}_b\to {\cal B}_n M_c$ decays.}\label{BbtoBnMc}
\end{figure}
As the studies 
in Refs.~\cite{Gutsche:2013oea,Liu:2015qfa,Wei:2009np,
Fayyazuddin:1998ap,Chou:2001bn,Ivanov:1997ra,Cheng:1996cs},
based on the factorization approach,
the amplitudes for the two-body charmful $b$-baryon decays are presented in terms of
the decaying process of the ${\cal B}_b\to {\cal B}_n$ transition with the recoiled charmed meson $M_c$. 
From Fig.~\ref{BbtoBnMc}a, the amplitudes of ${\cal B}_b\to {\cal B}_n M_c$ 
via the quark-level $b\to u\bar c q$ transition are factorized as
\begin{eqnarray}\label{eq1}
{\cal A}_1({\cal B}_b\to {\cal B}_n M_c)&=&
\frac{G_F}{\sqrt 2}V_{ub}V_{cq}^*a_1\,
\langle M_c|\bar q\gamma^\mu(1- \gamma_5) c|0\