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3. Discussion: Cluster age and chromospheric activity

3.1. The colour-magnitude diagram and cluster age

 

We constructed the colour-magnitude diagram using the photometry published by Abraham de Epstein & Epstein (1985) and Westerlund et al. (1988). First we corrected for the mean reddening. The colour excesses for the cluster are small; we used a mean excess of E(B-V) = 0.02 mag (Westerlund et al. 1988) and assumed a visual absorption (tex2html_wrap_inline1856) of 0.06 mag. Next we removed superimposed field stars. Besides photometry the usual criteria for deciding cluster membership are proper motion and radial velocity measurements. Unfortunately at present these measurements are only available for a few of the higher mass stars (e.g. Perry et al. 1978; Edvardsson et al. 1995), although an extensive proper motion survey of the cluster is currently being undertaken by Platais et al. (1996). We base our final selection of cluster members almost entirely on photometry and consider all the K dwarfs with no measurable Ca II emission to be non-members.

  figure392
Figure 2: Logarithm of the lithium equivalent width (tex2html_wrap_inline1858[Li]) as a function of un-reddened colour (tex2html_wrap_inline1860 for Blanco 1 as compared to the Hyades, Pleiades and tex2html_wrap_inline1862 Persei clusters

Our revised list of cluster members with their photometry and positions is given in Table A1. This data was used to construct the colour-magnitude diagram for Blanco 1 (Fig. 3 (click here)). We have superimposed the ZAMS of Lang (1991), assuming a distance modulus (tex2html_wrap_inline1864 mag (Paper I). The diagram exhibits no turn-off and little if any evolution from the main-sequence. A gap is evident in the main-sequence between tex2html_wrap_inline1866 tex2html_wrap_inline1868 0.08 mag and 0.27 mag. This been noted by other authors (e.g. Eggen 1970; Abraham de Epstein & Epstein 1985) and is a common feature of young open clusters.

  figure401
Figure 3: Blanco 1 colour-magnitude diagram constructed from our revised list of cluster members given in Table A1. The ZAMS line is taken from Lang (1991)

Our final list of non-members is presented in Table A2. Many of these stars were rejected by previous authors whilst the others all lie well above the ZAMS and are either field giants or nearby dwarfs. Abraham de Epstein & Epstein (1985) suggested the latter could possibly be pre-main-sequence (PMS) stars still in a state of contraction to the ZAMS. This is unlikely given that even low-mass stars (tex2html_wrap_inline1870) reach the vicinity of the ZAMS only after a few million years (e.g. Mihalas & Binney 1981). Moreover this feature is not seen for the tex2html_wrap_inline1872 Persei cluster (age 50 Myr), except perhaps for the very cool M-dwarfs (see Prosser 1992). In order to justify the existence of PMS stars, the cluster would have to be very young indeed. In fact we have removed virtually all the stars that deviated by more than 2 magnitudes from the lower portion of the ZAMS (B - V > 0.6 mag) and included them in our list of non-members as these are clearly field stars. We recognise that the width of our main-sequence still remains very large (given that the standard 0.75 mag spread is due to binarity), and therefore our membership list needs to be refined further to remove the remaining field star contaminants.

The lack of an obvious turn-off is indicative of a very young age and has lead previous authors to estimate ages tex2html_wrap_inline1876 50 Myr: e.g. 30 Myr (Westerlund 1963), 20 - 40 Myr (Eggen 1970), 45 Myr (Edvardsson et al. 1995), 50 Myr (Epstein 1968; Perry et al. 1978; Abraham de Epstein & Epstein 1985; Westerlund et al. 1988). Typically the cluster is believed to belong to the same age group as the Pleiades (Harris 1976). Throughout this paper we adopt the absolute ages of Mermilliod (1981) placing the age of the Pleiades at tex2html_wrap_inline1880 70 Myr and the tex2html_wrap_inline1882 Persei cluster at tex2html_wrap_inline1884 Myr. Therefore on the basis of previous estimates, before considering our new age measuring technique, we can tentatively assume an age of 50 - 70 Myr for the Blanco 1 cluster.

A close examination of the upper main-sequence, however, reveals that all the latter age estimates hinge on the membership status of the B8 star HD 225187 (W71, Table A1), the bluest star on the colour-magnitude diagram. Perry et al. (1978) note that the proper motion of this star exceeds their criterion for cluster membership yet they include it in their final list of cluster members. The proper motion study of Platais et al. (1996) does not include this star as a member. Finally it is interesting to note that Perry et al. (1978) suspect HD 225187 to be a spectroscopic binary on the basis of its variable radial velocity. Recent studies (e.g. Kazarovets & Samus 1990) show the star to be slightly variable. The existence of a companion star cannot be ruled out.

Figure 4 (click here) compares the upper main-sequence of the Pleiades and tex2html_wrap_inline1888 Persei clusters with Blanco 1, where the turn-off from the main-sequence is clearly visible for both the Pleiades (age 70 Myr) and tex2html_wrap_inline1890 Persei clusters (age 50 Myr). The dichotomy caused by HD 225187 (W71, Table A1) is clearly apparent. If we include the star on the colour-magnitude diagram then its position with respect to the ZAMS imposes a very young age on Blanco 1 (i.e. tex2html_wrap_inline1892 50 Myr). If we remove this star then ages comparable and older than the Pleiades become feasible. It is conceivable that the lack of a turn-off is not necessarily a feature caused by a young age but could also be due to a deficiency of high-mass stars.

  figure422
Figure 4: Colour-magnitude for the clusters Blanco 1, tex2html_wrap_inline1894 Persei and the Pleiades. The dashed lines show the isochronous curves for tex2html_wrap_inline1896 Persei and the Pleiades (from Mermilliod 1981). The arrow indicates the B8 star HD 225187

3.2. Htex2html_wrap_inline1904 and cluster age

 

The lack of apparent evolution on the colour-magnitude diagram of Blanco 1 clearly supports a young age (Sect. 3.1 (click here)). If we consider the age of the cluster to be 50 Myr, comparable with the age of tex2html_wrap_inline1906 Persei, then we must expect the low-mass stars of the cluster to have a similar rotational velocity distribution and to exhibit a similar proportion of K dwarfs showing Htex2html_wrap_inline1908 in emission.

There exists a definite correlation between Htex2html_wrap_inline1910 emission and rotation. Stauffer & Hartmann (1987) have shown that to (tex2html_wrap_inline1912, ((tex2html_wrap_inline1914) the more rapidly rotating K-dwarfs of the Pleiades cluster deviate from the general trend, showing consistently greater tex2html_wrap_inline1916[Htex2html_wrap_inline1918]. This is consistent with the hypothesis that activity increases with rotation. Greater activity implies that either the mean chromosphere is hotter or that there is more surface inhomogeneity, both giving rise to increased Htex2html_wrap_inline1920 emission (Paper I).

Figure 5 (click here) shows the Blanco 1 Htex2html_wrap_inline1922 emission equivalent width as a function of (B-V), compared with other young clusters and the field. The rotational velocity distributions for the Pleiades and tex2html_wrap_inline1926 Persei clusters are well known (e.g. Stauffer 1991). Following Stauffer & Hartmann (1987) we crudely split these stars into fast and slow rotators to highlight the correlation between activity and rotation. A cursory examination of the plot shows that the Blanco 1 stars are distributed in the same manner as the Pleiades. Of interest, however, is the distribution of the young rapidly rotating tex2html_wrap_inline1928 Persei stars on this plot, none showing the high levels of emission exhibited by the Pleiades and Blanco 1. Assuming these stars generate their magnetic flux by a shell dynamo process, then their high rotation rates should generate more magnetic flux, more chromospheric heating and hence stronger Htex2html_wrap_inline1930 emission. This appears not to be the case and may reflect a saturation of magnetic surface activity (e.g. O'Dell et al. 1995) that acts to suppress the magnetic-heating mechanism in the very rapid rotators. Also, this may be evidence that magnetic heating processes are not entirely responsible for the observed chromospheric emission seen in late-type stars.

The strongest Htex2html_wrap_inline1932 emitting Pleiades star HII 1883, (tex2html_wrap_inline1934[Htex2html_wrap_inline1936] = 5.5 Å) has a projected equatorial velocity of tex2html_wrap_inline1938 = 140 km/s (Stauffer et al. 1984). Similarly HII 347, with tex2html_wrap_inline1940[Htex2html_wrap_inline1942] = 2.8 Å, has a tex2html_wrap_inline1944 (Stauffer & Hartmann 1987). At equatorial velocities of 75 km/s, the line broadening would be at least 1.6 Å, well above our resolution. No Blanco 1 stars were observed to have such broad Htex2html_wrap_inline1948 profiles, so we expect that the rotation distribution of Blanco 1 not to peak at such high velocities characterised by young clusters such as tex2html_wrap_inline1950 Persei or the Pleiades. Nevertheless, it is likely that ZS 142 (tex2html_wrap_inline1952[Htex2html_wrap_inline1954] = 3.14 Å) and ZS 37 (tex2html_wrap_inline1956[Htex2html_wrap_inline1958] = 2.13 Å), the two strongest Htex2html_wrap_inline1960 emitters are relatively rapid rotators amongst the Blanco 1 population itself.

  figure438
Figure 5: Htex2html_wrap_inline1962 emission equivalent width as a function of (B-V) for Blanco 1 compared with other young clusters and the field. The tex2html_wrap_inline1966 Persei and Pleiades stars are crudely split into fast and slow rotators to highlight the correlation between activity and rotation. U indicates unknown rotational velocity. Note that the distribution of Blanco 1 stars is very similar to that of the Pleiades

Figure 5 (click here) reveals that the onset of Htex2html_wrap_inline1968 emission in Blanco 1 is at (B-V)=0.93 (ZS 61), whereas the older solar neighbourhood dwarfs (taken from Panagi & Mathioudakis (1993)) show an onset of emission at (B-V)=1.10. Similarly the Pleiades and tex2html_wrap_inline1974 Persei clusters also exhibit an onset of Htex2html_wrap_inline1976 emission earlier than the older field stars (Prosser et al. 1991). Studies of these and other young clusters have shown a correlation between tex2html_wrap_inline1978[Htex2html_wrap_inline1980] and spectral type and a trend toward Htex2html_wrap_inline1982 emission at early spectral types. Prosser et al. (1991) compared the Htex2html_wrap_inline1984 emission strengths of selected M-dwarfs for the Pleiades, Hyades and field. They found that the mean strength of Htex2html_wrap_inline1986, on average, declines as one passes from the Pleiades through the Hyades to the field, and therefore may act as a proxy for age. This can also be seen for the K-dwarfs.

Figure 5 (click here) shows that the distribution of Blanco 1 K-dwarfs is similar to the Pleiades yet considerably different from the Hyades and field. This is indicative of the youth of Blanco 1 and the Pleiades. In a study of the chromospheric activity of low-mass members in the Hyades, Stauffer et al. (1991) noted that the calibration of this effect could yield a new tool for the determination of the relative ages of open clusters.

In order to quantify the decline of Htex2html_wrap_inline1988 emission as an age indicator, the ratio of Htex2html_wrap_inline1990 emitters to the total number of observed cluster members (tex2html_wrap_inline1992) within the spectral range tex2html_wrap_inline1994 was calculated for a selection of ``reference" clusters of differing ages. The spectral range was chosen to cover only the K dwarfs, the region where a strong link exists between the activity-age and rotation-age relations.

 table453
Table 2: Cluster, the fraction of Htex2html_wrap_inline1996 emitters amongst K dwarfs (tex2html_wrap_inline1998) and the age, assuming published ages for all clusters. The age of Blanco 1 has been interpolated from Fig. 6

The ratio (tex2html_wrap_inline2006) is plotted as a function of age for the ``reference" clusters in Fig. 6 (click here). The points were well fitted by an exponential function therefore we show tex2html_wrap_inline2008) versus ln(Age). The straight line was fitted to the tex2html_wrap_inline2010 Persei, Pleiades and Hyades points. The values (tex2html_wrap_inline2012 were attributed poissonian errors and dashed lines added to approximate its upper and lower bounds. No uncertainty was assumed for the ages. The ages of the Pleiades, tex2html_wrap_inline2014 Persei and Hyades clusters were all taken from Mermilliod (1981). The ratio tex2html_wrap_inline2016) for the three ``reference" clusters and Blanco 1 are shown against their respective ages in Table 2.

  figure473
Figure 6: Logarithmic plot of the ratio of Htex2html_wrap_inline2018 emitters to the total number of observed cluster members (tex2html_wrap_inline2020) as a function of age for tex2html_wrap_inline2022 Persei, the Pleiades and Hyades. The plot allows us to estimate the age of Blanco 1 (note the tex2html_wrap_inline20241 tex2html_wrap_inline2026 uncertainty shown by the horizontal error bar)

The ``reference" clusters have all been subject to extensive spectroscopic surveys. The Pleiades and Hyades have been popular targets for many years, in the main, due to their close proximity to the solar neighbourhood. In particular, comprehensive searches have been made for Htex2html_wrap_inline2028 emission lines amongst the late-type populations of these clusters (e.g. Prosser et al. 1991). It is therefore unlikely that many more Htex2html_wrap_inline2030 emitters remain to be discovered, particularly amongst the relatively bright K-dwarfs. The (tex2html_wrap_inline2032) values are therefore to be regarded as extremely reliable and unlikely to change significantly.

Although the cluster Blanco 1 has not been studied to the extent of the Pleiades, tex2html_wrap_inline2034 Persei and Hyades it is nevertheless apparent that the cluster contains relatively few Htex2html_wrap_inline2036 emitters. This spectroscopic survey has examined tex2html_wrap_inline2038 60% of the Abraham de Epstein & Epstein (1985) sample in the tex2html_wrap_inline2040 spectral range. The estimated value of (tex2html_wrap_inline2042 is therefore considered realistic for the entire K-dwarf population of the cluster. Plotting this value in Fig. 6 (click here) reveals that the cluster is closer in age to the Pleiades than tex2html_wrap_inline2044 Persei and is considerably older than previous estimates. An estimate of tex2html_wrap_inline2046 90 Myr was extracted from the plot, with a 68% confidence interval of tex2html_wrap_inline2048 25 Myr. We recognise that this estimate is likely to change once cluster membership becomes better defined. Preliminary membership information from the proper motion study of Platais et al. (1996) of a number of K dwarfs has allowed us to obtain a lower estimate of 60 Myr for the age of the cluster.

3.3. Chromospheric activity

3.3.1. Htex2html_wrap_inline2056 and rotation

We consider here how Htex2html_wrap_inline2058 emission and absorption act as proxies for stellar rotation. Looking at Fig. 5 (click here), the variation of Htex2html_wrap_inline2060 emission against (B-V), amongst the K dwarfs, for the four clusters and the field. There is a large spread in equivalent width, much more than for the Htex2html_wrap_inline2064 absorption stars (Fig. 1 (click here)). Htex2html_wrap_inline2066 emission is more sensitive to rotation and stellar effective temperature, for K dwarfs than G dwarfs. The sensitivity is due to the contrast between the chromospheric and photospheric temperatures, as at higher effecive temperatures greater chromospheric electron densities (and hence temperatures) are needed to drive Htex2html_wrap_inline2068 into emission (Cram & Mullan 1979; Panagi 1994). Once in emission, Htex2html_wrap_inline2070 emission has an approximate cubic dependency on the chromospheric electron density, over the region of its formation. Thus, although Htex2html_wrap_inline2072 in emission indicates rapid rotation, its high sensitivity to atmospheric conditions makes intepretation of the rotation distribution very difficult.

This is not so for Htex2html_wrap_inline2074 absorption, whose general trend as a function of (B-V) is shown for both Blanco 1 and the solar neighbourhood dwarfs relationship in Fig. 1 (click here). The narrower relative spread, when compared to the Htex2html_wrap_inline2078 emission at a given (B-V), is consistent with Htex2html_wrap_inline2082 absorption being much less sensitive to variations in chromospheric temperature and density.

We now consider the importance of the scatter in absorption equivalent widths at a given (B-V). Two, perhaps complementary, explanations can be used to interpret this spread, assuming that the stars exhibit a spread in rotation rates. Equating increased rotation rate with increased surface activity, we would expect that the faster rotators will show increased levels of surface inhomogeneity, implying that local variations in temperature and density would dominate the Htex2html_wrap_inline2086 profile. This is the filling-in scenario, and so increased rotation in this case equates to decreasing (in magnitude) equivalent width. Alternatively (or in tandem), increased rotation could yield an overall greater mean chromospheric temperature (and density), so that the Htex2html_wrap_inline2088 absorption equivalent width could actually increase in magnitude. These conclusions follow naturally from the theoretical work by Cram & Mullan (1979, 1985) on the formation of Htex2html_wrap_inline2090 in cool stars. They showed that, for a given effective temperature, increasing the chromospheric temperature gradient initially gives rise to a greater Htex2html_wrap_inline2092 absorption, before, at some critical chromospheric temperature (and hence density), Htex2html_wrap_inline2094 is driven into emission.

 figure496
Figure 7: A 4-frame composite digitized sky survey map of the Blanco 1 region centred near ZS 134, with RA = tex2html_wrap_inline2096 and DEC = tex2html_wrap_inline2098. Approximately 80% of the cluster members of Table A1 are shown

3.3.2. The zero Htex2html_wrap_inline2102 stars

The transition from Htex2html_wrap_inline2104 absorption to emission predicted by Cram & Mullan (1979) is an intriguing observational problem. One would expect to see stars with apparently strong chromospheres, evidenced by strong Ca II emission, but little or no Htex2html_wrap_inline2106. They have been termed the zero-Htex2html_wrap_inline2108 stars. A small number have indeed been observed in the solar neighbourhood (Robinson et al. 1990; Mathioudakis & Doyle 1992). Mathioudakis & Doyle (1992) also looked at Mg II emission in a number of late-type solar neighbourhood dwarfs, and found five stars with generally weak emission. These stars have (tex2html_wrap_inline2110 and have also been termed dM(e), dK(e) or zero-Htex2html_wrap_inline2116 stars. Thus two sub-classes of zero Htex2html_wrap_inline2118 stars have been identified, weak and strong chromosphere stars. In a Mg II emission with colour diagram, Mathioudakis & Doyle (1992) observed that the hottest dK(e) or dM(e) stars have fluxes that lie intermediate between those that show either Htex2html_wrap_inline2124 emission or absorption, and so argued that they are in fact active stars with strong chromospheres. They similarly argued that the cooler dM(e) stars are in fact quite close to radiative equilibirum, with little or no signs of a chromosphere. The results are based on the computatons by Cram & Mullan (1979) who have shown that radiative equilibrium models of late K to mid-M dwarfs produce decreasing Htex2html_wrap_inline2128 absorption, ranging from 0.24 Å to 0.08 Å. The parallel between Mg II emission and Ca II emission can be drawn by noting that there exists a strong linear relationship between the two, for stars in the solar neighbourhood (Panagi & Mathioudakis 1993). Based on their relatively strong Ca II emission, we would therefore expect the Blanco 1 stars ZS 46 (tex2html_wrap_inline2130 K5) and ZS 61 (tex2html_wrap_inline2132 K2) (Table 1) to be active stars, and their lack of a measurable Htex2html_wrap_inline2134 absorption feature implying that filling-in of the Htex2html_wrap_inline2136 core by active region emission dominates the line profile. Hence they would prove to be extremely useful in the study of chromospheric physics, as Htex2html_wrap_inline2138 could flip between absorption and emission under small changes in chromospheric temperature and density.

An interesting suggestion has been put forward by Bopp (1985) and Saar (1992) regarding the evolutionary status of the dK(e) and dM(e) stars. They suggested that these stars are marginal BY Dra stars, rapidly rotating binaries, showing both a high level of surface inhomogeneity, manifest in stellar spots, and showing strong chromospheric emission in Htex2html_wrap_inline2144. They also argue that the dK(e) and dM(e) stars are in a short evolutionary phase between the Htex2html_wrap_inline2150 emission stars and the Htex2html_wrap_inline2152 stars, brought about as the stars are rotationally braked; the slower rotating stars have weaker chromospheres and so show Htex2html_wrap_inline2154 in absorption. There is no discussion of the time-scale of this evolutionary phase. Based on this scenario, and given the relatively young age of Blanco 1, we would expect to see this transitional phase in K dwarfs, should it exist, whereas in the much older solar neighbourhood dwarfs the effect would be seen only for the late K and M dwarfs. The two stars ZS 46 and 61 also seem to satisfy this criteria.


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