Speaker
Kenji Morita
(Kyoto University)
Description
We investigate the
two-particle momentum intensity correlation function for $\Omega N$ pairs $
C(Q,K) = \frac{\int dx_1 \int dx_2
S_\Omega(x_1,K)S_N(x_2,K)|\Psi(x_1,x_2;Q)|^2}{\int dx_1 S_\Omega(x_1,k_1) \int dx_2 S_N(x_2,k_2)}
$ where $Q$ is the relative momentum of the two emitted particles and $S_i(x,k)$ denote the source function of particle species $i$.
$C(Q,K)$ has been used as a sensitive probe for
the source size in nucleus-nucleus collisions, but recently has been
investigated for $\Lambda\Lambda$ pairs to probe their interaction [1].
The $N\Omega$ system with $S=-3$ is particularly interesting, since it
is one of two multiplets in which the Pauli blocking does not take place thus can form a bound state.
Indeed, a recent lattice QCD calculation by the HAL QCD collaboration [2] predicts the existence of $N\Omega$ bound state in the $^5 S_2 (J=2, S=2)$ channel.
We adopt the $N\Omega$ interaction potential obtained by the HAL QCD
collaboration and calculate the $N\Omega$ correlation
function through the relative wave function $\Psi(x_1,x_2;Q)$. Moreover, we also study the variation of the correlation
function against the change of the property of the bound state.
We show that the correlation function $C(Q)$ is sensitive to whether the system has a bound state or not (see figure). If the
system has a bound state, the behavior of $C(Q)$ at low $Q$ also depends
on the binding energy. We discuss how the behavior the scattering wave
function can influence the behavior of $C(Q)$ and its interplay with the
source size. Our result indicates that high energy heavy ion collisions
at RHIC and LHC may provide information on the possible existence of the
$N\Omega$ dibaryon.
1. K.Morita, T.Furumoto, A.Ohnishi, Phys.Rev.C **91**, 024916 (2015).
2. F.Etiminan et al., (HAL QCD Collaboration), Nucl. Phys. **A928**, 89 (2014).
![Preliminary result][1]
[1]: http://www2.yukawa.kyoto-u.ac.jp/~kenji.morita/c2_mix2.jpg
Primary author
Kenji Morita
(Kyoto University)
Co-authors
Akira Ohnishi
(Kyoto University)
Tetsuo Hatsuda
(RIKEN)
