Effect of exotic $S=+1$ resonances on $K_L^{0}p$ scattering data

We consider the effect of an exotic $S=+1$ ${\Theta }^{+}$ resonance on the scattering of neutral kaons off protons. Explicit results are presented for the $K_L^{0}p$ total cross sections.

Figure 1

Total cross section for $K_L^{0}p$ (solid line) and contributions (dashed line) from $S=-1$ [8] and (dotted line) $S=+1$ [9]. Data sets from Ref. 10 (open and closed circles) and Ref. 11 (open triangles).

Figure 2

Effect of $1540\mathrm{MeV}$ $P_{01}$ resonance of width $5\mathrm{MeV}$ for a $10\mathrm{MeV}∕c$ (dashed line) and $20\mathrm{MeV}∕c$ (solid line) momentum spread. Effect of a $D_{03}$ resonance of same mass and width($20\mathrm{MeV}∕c$ spread) displayed for comparison (dotted line). Dash-dotted curve gives the unmodified total cross section for $K_L^{0}p$. Data as in Fig. 1.

Figure 3

Resonance signal for a $1540\mathrm{MeV}$ $P_{01}$ resonance of width $1\mathrm{MeV}$ (dotted line), $2\mathrm{MeV}$ (dashed line), and $5\mathrm{MeV}$ (solid line), for a $20\mathrm{MeV}∕c$ momentum spread. Dash-dotted curve gives the unmodified total cross section for $K_L^{0}p$. Data as in Fig. 1.