\begin{table}%t1 \caption{\label{coreprop}The physical properties of the cores.} \par %\centerline {\small \begin{tabular}{lrrrrr} \hline\hline Parameter & Core 1 & Core 2 & Core 3 & Core 4 & Core 5 \\ \hline Galactic longitude (2000) & 123.388 & 123.511 & 123.559 & 123.687 & 123.690 \\ Galactic latitude (2000) & $+$24.928 & $+$24.915 & $+$24.856 & $+$24.894 & $+$24.931\\ Right ascension (2000) & 01$^{\rm h}$34$^{\rm m}$01.9$^{\rm s}$ & 01$^{\rm h}$44$^{\rm m}$51.6$^{\rm s}$ & 01$^{\rm h}$47$^{\rm m}$40.8$^{\rm s}$ & 01$^{\rm h}$59$^{\rm m}$42.7$^{\rm s}$ & 02$^{\rm h}$00$^{\rm m}$58.7$^{\rm s}$ \\ Declination (2000) & $+$87$^{\circ}$45$^{\prime}$42$^{\prime\prime}$ & $+$87$^{\circ}$43$^{\prime}$35$^{\prime\prime}$ & $+$87$^{\circ}$39$^{\prime}$33$^{\prime\prime}$ & $+$87$^{\circ}$39$^{\prime}$53$^{\prime\prime}$ & $+$87$^{\circ}$41$^{\prime}$58$^{\prime\prime}$ \\ Distance (pc) & 150 & 150 & 150 & 150 & 150 \\ Radius (pc) & 0.023 & 0.035 & 0.032 & 0.035 & 0.034 \\ {\it FWHM} (pc) & 0.023 & 0.039 & 0.027 & 0.042 & 0.038 \\ $F^{\rm int}_{\rm 70~\mu m}$ (Jy) & $<$0.18 & $<$0.18 & $<$0.18 & $<$0.18 & $<$0.18 \\ $F^{\rm int}_{\rm 160~\mu m}$ (Jy) & 4.26 $\pm$ 0.07 & 10.19 $\pm$ 0.07 & 7.56 $\pm$ 0.07 & 7.63 $\pm$ 0.07 & 5.44 $\pm$ 0.07 \\ $F^{\rm int}_{\rm 250~\mu m}$ (Jy) & 6.74 $\pm$ 0.04 & 16.77 $\pm$ 0.04 & 13.10 $\pm$ 0.04 & 15.35 $\pm$ 0.04 & 13.26 $\pm$ 0.04 \\ $F^{\rm int}_{\rm 350~\mu m}$ (Jy) & 3.61 $\pm$ 0.02 & 8.98 $\pm$ 0.02 & 7.27 $\pm$ 0.02 & 9.05 $\pm$ 0.02 & 8.50 $\pm$ 0.02 \\ $F^{\rm int}_{\rm 500~\mu m}$ (Jy) & 1.72 $\pm$ 0.02 & 4.33 $\pm$ 0.02 & 3.50 $\pm$ 0.02 & 4.53 $\pm$ 0.02 & 4.40 $\pm$ 0.02 \\ Temperature (K) & 12 $\pm$ 1 & 12 $\pm$ 1 & 12 $\pm$ 1 & 11 $\pm$ 1 & 10 $\pm$ 1 \\ $N$(H$_2$)$_{\rm peak}$ ($\times$10$^{21}$ cm$^{-2}$) & 6 $\pm$ 3 & 7 $\pm$ 3 & 9 $\pm$ 4 & 13 $\pm$ 5 & 13 $\pm$ 5 \\ Mass ($M_\odot$) & 0.1 & 0.3 & 0.3 & 0.4 & 0.5 \\ $n$(H$_2$)$_{\rm mean}$ (cm$^{-3}$) & $\sim$5$\times$10$^{4}$ & $\sim$$4\times 10^{4}$ & $\sim$$4\times 10^{4}$ & $\sim$$5\times 10^{4}$ & $\sim$$7\times 10^{4}$\\ $M_{\rm vir}$ ($M_\odot$) & $\sim$0.3--0.5 & $\sim$1.0--1.5 & $\sim$1.0--1.5 & $\sim$1.0--1.5 & $\sim$1.0--1.5 \\ \hline \end{tabular}} \tablefoot{The Galactic latitude and longitude, as well as right ascension and declination, are listed, along with the assumed distance. The radius of each core was measured by taking the column density map in Fig.~\ref{5bands} and measuring the equivalent radius of the contour that encircled a column density of $4 \times 10^{21}$~cm$^{-2}$, and this radius is given in pc. The full-width at half maximum ({\it FWHM}) is the geometric mean {\it FWHM} measured on the peak of each source. The integrated flux density within this contour at each of the {\it Herschel} wavelengths is listed in Jy. The absolute uncertainty in the flux densities is $\pm$15\%. As described in the text, a temperature, peak column density and mass were derived, and these are also listed. The uncertainty in the masses could be as high as a factor of 2. A mean volume density is given, assuming each core is spherical, within the given radius. Finally, a virial mass for each core is estimated using CO and HCO$+$ linewidths.}\vspace*{-1mm} \end{table}