我們藉著活躍星系 (active galaxies) 中黑洞質量和核球 (bulge) 的關係來研究西佛一型星系 (Seyfert 1 galaxies) 和窄線西佛一型星系 (narrow-line Seyfert 1 galaxies)中的黑洞質量。西佛一型星系和窄線西佛一型星系是活躍星系的次分類之一，他們都有強烈的發射譜線 (emission line)，不過窄線西佛一型星系跟西佛一型星系比較起來，發射譜線的寬度明顯比較窄。近幾年來有些研究指出他們有不一樣的物理特性是因為他們核球內的黑洞質量是不一樣的。另外一方面，最近的觀測研究有證據說明在活躍星系核中，黑洞質量，核球質量，核球的譜線速率分佈 (velocity dispersion) 都有相對應的線性關係。所以我們使用 GALFIT 這套軟體去分析哈柏太空望遠鏡 (HST) 中第二代廣域和行星照相機 (WFPC2) 拍攝的影像。同時也去比較發射譜線 Hβ 和 [OIII] 的半高全寬 (FWHM) 和黑洞質量的關係。我們發現在窄線西佛一型星系中黑洞質量和核球質量的相關性並沒有像西佛一型星系中這麼高，發射譜線的半高全寬和黑洞質量的相關性也是同樣的結果。我們用維里定理推導出黑洞質量和核球半徑的關係，發現西佛一型星系和窄線西佛一型星系大部分有在這個關係上面，窄線西佛一型星系和西佛一型星系分佈的範圍並不相同。表示出他們黑洞質量的大小分佈並不相同。 We investigate the relation of the black hole masses and bulges of Seyfert 1 and narrow-line Seyfert 1 galaxies. Seyfert 1 and narrow-line Seyfert 1 galaxies both show fairly broad emission lines of high excitations; the emission lines are narrower for narrow-line Seyferrt 1 than those for Seyfert 1 galaxies. Some observations suggested that the black hole masses in the Seyfert 1 and narrow-line Seyfert 1 galaxies might be different. On the other hand, other observations suggested that the black hole masses, bulge masses, and velocity dispersion of galactic bulges followed similar relations for different kinds of AGNs, such as Seyfert 1 and QSOs. To investigate this problem, we analyze the HST WFPC2 images of several Seyfert 1 and narrow-line Seyfert 1 galaxies using the GALFIT package. We also compare the black hole masses and bulge sizes with FWHMHβ and FWHM[OIII] of our sample. For the narrow-line Seyfert 1 galaxies, we do not find significant correlation between the black hole and bulge mass; the correlation between FHWM of emission lines and black hole mass is not significant either. We derived a relation of black hole mass and bulge radius using virial theorem and some empirical relations. We find that both Seyfert 1 and narrow-line Seyfert 1 galaxies do distribute around this relation. However, the distribution of narrow-line Seyfert 1 galaxies are different from that of Seyfert 1 galaxies, indicating that they have different black hole masses.
