搜索

x

留言板

姓名
邮箱
手机号码
标题
留言内容
验证码

downloadPDF
引用本文:
Citation:

    彭卫国, 宋汉峰, 詹琼, 吴兴华, 景江红

    Formation and internal nucleosynthesis in massive rotating Wolf-Rayet stars

    Peng Wei-Guo, Song Han-Feng, Zhan Qiong, Wu Xing-Hua, Jing Jiang-Hong
    PDF
    HTML
    导出引用
    • 沃尔夫-拉叶(Wolf-Rayet stars, WR)星是一类非常特殊的恒星, 具有强烈的星风损失, 造成氢包层丢失, 仅具有裸露的氦核. WR 星被认为是Ib/Ic型超新星的前身星, 研究WR 星的形成及内部核合成具有重要意义. 根据转动恒星的角动量转移和元素扩散方程, 研究了影响WR星结构与演化的各种物理因素. 如恒星质量、初始转速、轨道周期、金属丰度等. 大质量、初始转速快和金属丰度高的单星模型, 星风物质损失率大, 易于形成WR星. 金属丰度低的恒星由于星风弱, 不容易丢失氢包层, 不容易形成WR星. 然而, 快速转动使低金属丰度恒星产生化学成分均匀的演化, 极大地增加了对流核的质量, 相应减小了氢包层厚度, 也可以产生WR星. 双星系统中发生洛希瓣物质交换, 将主星大量的氢包层物质转移到次星上, 也可使低金属丰度恒星产生WR星. 另外, 洛希瓣物质交换, 减少了氢包层的厚度以及对流核的温度和核反应速率, 主星表面的 4He, 12C, 19F, 22Ne, 23Na, 25Mg等元素的质量丰度高于相同初始条件的单星模型, 而 1H, 14N, 16O, 20Ne 和 26Al等元素的质量丰度却低于单星模型. 总之, 大质量星、初始转速快、金属丰度高、短轨道周期双星系统是形成WR星的有利条件.
      Wolf-Rayet stars (WR stars) were discovered by French astronomers Charles Wolf and Georges Rayet in 1867. The Wolf-Rayet (WR) stars are the evolved descents of the most massive, extremely hot (temperatures up to 200000 K) and very luminous (10 5 $ L_{\odot} $ -10 6 $L_{\odot}$ ) O stars, with 25 $ M_{\odot} $ -30 $M_{\odot}$ solar mass for solar metallicity. The WR stars possess very strong stellar winds, which have velocities up to 3000 km/s and wind mass loss rate $10^{-5} M_{\odot}$ a year. These winds are observed in the broad emission line profiles (sometimes, even P-Cygni profiles) of WR spectra in the optical and UV range. Actually, these winds are so strong that they can peel the star and convert it into a nude nucleus without envelope. It has been found that three bright galactic stars located at Cygnus region have broad strong emission bands, rather than absorptions lines, superposed on the typical continuum of hot stars. In 1930 Beals correctly identified these features as emission lines produced by high ionized elements such as helium, carbon, nitrogen and oxygen. The physical factors which can affect the evolution of WR stars are explored in this paper. These physical factors include stellar mass, initial velocities, orbital periods, metallicities, etc. According to the equations for angular momentum transfer and chemical element diffusion, we can ascertainhow these physical factors influence the evolution of WR stars and the mixing of chemical elements in WR stars.The result indicates that massive stars with high initial velocities and metallicities have strong stellar winds and be prone to producing WR stars. In contrast with the counterpart with high metallicities,it is hard for the single star with low metallicity to generate WR star due to weak wind. However, the star with very high initial velocity and low metallicity can form chemical homogenious evolution. Thestar has an enlarged convective core and a very thin hydrogen envelope and it can also generate WR star. The component in the binary system with short orbital period can transfer mass to the companion star through Roche lobe overflow, and this physical process can produce WR star under the condition of low metallicity. Furthermore, mass removal due to Roche lobe overflow reduces the temperature of stellar convective core and rate of nuclear reaction. It is shown that mass metallicities of chemical elements including 4He, 12C, 19F, 22Ne, 23Na, 25Mg in the primary star are higher than those in the single stars, whereas mass metallicities of chemical elements including 1H, 14N, 16O, 20Ne, and 26Al are lower than those in the single counterparts. In a word, the conditions for massive stars with high initial velocities and metallicities in the binary system with short orbital period favor the formation of WR stars.
          通信作者:宋汉峰,hfsong@gzu.edu.cn; 詹琼,zhanqiong1108@163.com;
        • 基金项目:国家自然科学基金(批准号: 11463002, 11863003)、贵州省科技计划(黔科合平台人才)(批准号: [2018]5781)和中国科学院天体结构与演化重点实验室开放课题(批准号: OP201405)资助的课题
          Corresponding author:Song Han-Feng,hfsong@gzu.edu.cn; Zhan Qiong,zhanqiong1108@163.com;
        • Funds:Supported by the National Natural Science Foundation of China (Grant Nos. 11463002, 11863003), the Project for Science and Technology Plan in Guizhou Province, China (Grant No. [2018]5781), and the Open Foundation of the Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Science (Grant No. OP201405)
        [1]

        [2]

        [3]

        [4]

        [5]

        [6]

        [7]

        [8]

        [9]

        [10]

        [11]

        [12]

        [13]

        [14]

        [15]

        [16]

        [17]

        [18]

        [19]

        [20]

        [21]

        [22]

        [23]

        [24]

        [25]

        [26]

        [27]

        [28]

        [29]

        [30]

        [31]

        [32]

        [33]

        [34]

        [35]

        [36]

        [37]

        [38]

      • 0.45 WR星的类型 判定依据
        O型星 $\log (T_{\rm eff})>4.5$
        WNL型星 $\log (T_{\rm eff})>4.0$ 和 $X_{\rm H} <0.3$
        WNE型星 $X_{\rm H} <10^{-5}$ 和 $X_{\rm C}
        WNC型星 $\dfrac{X_{\rm C}}{X_{\rm N}}>0.1$ 和 $\dfrac{X_{\rm C}}{X_{\rm N}}<10$
        WC型星 $X_{\rm C}>X_{\rm N}$ 和 $\rm \dfrac{C+O}{He}<1$
        WO型星 $X_{\rm C}>X_{\rm N}$ 和 $\rm \dfrac{C+O}{He}>1$
        注: $T_{\rm eff}$是恒星的有效温度; ${X_{i} }/{X_{j} }$为恒星元素的质量丰度之比; $\rm ({C+O})/{He}$为数丰度之比.
        下载: 导出CSV

        Models $M_1/M_\odot$ $M_2/M_\odot$ $Z$ $\alpha$ $P_{\rm orb, ini}$/d $V_{\rm ini, 1}$/km·s–1 $V_{\rm ini, 2}$/km·s–1
        S1 60 0.014 0.0385 0
        S2 60 0.014 0.0385 300
        S3 60 0.014 0.0385 600
        S4 40 0.014 0.0385 300
        S5 60 0.0021 0.0385 300
        S6 60 0.0021 0.0385 600
        B1 60 40 0.014 0.0385 3.0 0 0
        B2 60 40 0.014 0.0385 3.0 300 300
        B3 60 40 0.014 0.0385 3.0 600 600
        B4 60 40 0.014 0.0385 40.0 300 300
        B5 60 40 0.0021 0.0385 3.0 300 300
        注: B为双星系统, S为单星; $M_1$, $M_2$分别为主星和次星的质量(以太阳质量$M_{\odot}$为单位);Z为金属丰度; $\alpha$为对流超射系数;
        $P_{\rm orb, ini}$为双星初始轨道周期; $V_{\rm ini, 1}$, $V_{\rm ini, 2}$分别为主星和次星的初始自转赤道速度.
        下载: 导出CSV

        Sequence Age/Myr $M/M_{\odot}$ $\log T_{\rm eff}$ $\log ({L_{1}}/{L_{\odot}})$ $\rm [N/H]$ $V_{\rm eq}$/km·s–1 $\log T_{\rm c}$ $\log \rho_{\rm c}$
        ZAMS
        S1 0.0000 60.00 4.68 5.72 7.84 0.00 7.60 0.31
        S2 0.0000 60.00 4.66 5.70 7.84 300.00 7.59 0.29
        S3 0.0000 60.00 4.63 5.64 7.84 600.00 7.58 0.26
        S4 0.0000 40.00 4.62 5.34 7.84 300.00 7.57 0.40
        S5 0.0000 60.00 4.67 5.74 6.99 300.00 7.57 0.24
        S6 0.0000 60.00 4.65 5.70 6.99 600.00 7.56 0.21
        TAMS
        S1 3.9511 42.02 4.42 5.98 9.01 0.00 7.81 0.91
        S2 4.1537 44.42 4.46 6.00 8.96 18.07 7.81 0.90
        S3 4.5124 37.75 4.69 5.98 9.29 18.66 7.81 0.92
        S4 5.3408 31.87 4.22 5.70 8.63 1.42 7.79 1.00
        S5 4.3346 54.56 4.29 6.05 7.96 7.21 7.87 1.05
        S6 5.0531 34.52 4.88 5.99 8.96 25.65 7.86 1.10
        BCHEB
        S1 3.9550 42.01 4.46 6.00 9.01 0.00 7.98 1.43
        S2 4.1574 44.40 4.51 6.02 8.98 19.75 7.98 1.42
        S3 4.5162 37.62 4.77 6.01 9.30 25.72 7.98 1.45
        S4 5.3453 31.83 4.25 5.72 8.63 1.37 7.96 1.51
        S5 4.3383 54.53 4.31 6.06 7.96 7.28 8.03 1.55
        S6 5.0570 34.44 4.96 6.02 8.97 36.78 8.03 1.60
        ECHEB
        S1 4.3054 25.27 5.21 5.99 23.45 0.00 8.53 3.13
        S2 4.5120 25.94 5.21 6.00 23.02 158.64 8.53 3.13
        S3 4.8924 16.90 5.20 5.74 24.64 76.49 8.51 3.22
        S4 5.7771 15.57 5.35 5.79 25.17 327.58 8.88 4.59
        S5 4.6825 39.56 4.45 6.19 8.45 5.98 8.54 3.07
        S6 5.4231 18.20 5.21 5.79 28.82 49.92 8.52 3.21
        BCCB
        S1 4.3099 25.16 5.33 6.06 16.72 0.00 8.83 4.14
        S2 4.5167 25.81 5.34 6.07 19.18 286.44 8.85 4.24
        S3 4.8980 16.80 5.34 5.83 20.60 149.13 8.86 4.45
        S4 5.7772 15.57 5.36 5.79 25.28 334.92 8.92 4.78
        S5 4.6870 39.45 4.46 6.25 8.57 37.32 8.84 4.12
        S6 5.4284 18.10 5.34 5.87 20.66 94.78 8.85 4.35
        ECCB
        S1 4.3100 25.15 5.42 6.09 18.59 0.00 9.07 5.25
        S2 4.5167 25.81 5.42 6.10 18.47 313.57 9.06 5.19
        S3 4.8981 16.80 5.41 5.86 20.55 157.94 9.06 5.40
        S4 5.7772 15.57 5.40 5.81 25.43 367.73 9.03 5.33
        S5
        S6 5.4285 18.10 5.41 5.90 20.90 97.57 9.05 5.34
        注: ZAMS为零龄主序; TAMS表示主序结束; BCHEB为中心氦核开始燃烧; ECHEB为中心氦核结束燃烧; BCCB 为中心碳核开始燃烧; CCB为中心碳核结束燃烧.
        下载: 导出CSV

        Sequence Age
        /Myr
        $P_{\rm orb}$
        /d
        $M_{1}/M_{\odot}$ $M_{2}/M_{\odot}$ $\log(T_{\rm eff, 1})$
        /K
        $\log \Big(\dfrac{L_{1}}{L_{\odot} }\Big)$ $\log(T_{\rm eff, 2})$
        /K
        $\log \Big(\dfrac{L_{2}}{L_{\odot} }\Big)$ $\Big[\rm \dfrac{N_{1}}{H}\Big]$ $\Big[\rm \dfrac{N_{2}}{H}\Big]$ $V_{\rm eq1}$/
        km·s–1
        $V_{\rm eq2}$/
        km·s–1
        $\log T_{\rm c}$/
        K
        $\log \rho_{\rm c}$/
        g·cm–3
        ZAMS
        B1 0.0000 3.00 60.00 40.00 4.68 5.71 4.64 5.36 7.84 7.84 0.00 0.00 7.62 0.37
        B2 0.0000 3.00 60.00 40.00 4.67 5.70 4.63 5.34 7.84 7.84 288.35 294.86 7.61 0.35
        B3 0.0000 3.00 60.00 40.00 4.64 5.65 4.59 5.27 7.84 7.84 566.93 581.75 7.60 0.32
        B4 0.0000 40.00 60.00 40.00 4.67 5.70 4.63 5.34 7.84 7.84 288.35 294.86 7.61 0.35
        B5 0.0000 3.00 60.00 40.00 4.69 5.66 4.65 5.29 6.99 6.99 306.83 301.14 7.66 0.50
        BTM1
        B1 2.6862 3.60 53.01 38.15 4.59 5.84 4.59 5.48 7.84 7.84 0.00 0.00 7.64 0.39
        B2 2.6314 3.63 51.90 38.00 4.59 5.82 4.59 5.47 8.25 7.94 250.24 162.73 7.63 0.39
        B3 2.7810 4.12 51.34 37.86 4.57 5.83 4.59 5.48 8.22 7.96 238.80 146.79 7.64 0.40
        B4 4.1328 63.17 43.82 35.94 4.23 6.02 4.49 5.56 9.05 8.69 35.18 120.39 8.24 2.26
        B5 2.9131 3.25 57.69 39.46 4.60 5.86 4.61 5.47 7.34 7.07 270.95 164.95 7.68 0.52
        ETM1
        B1 3.8956 4.25 36.84 43.77 4.62 5.90 4.57 5.67 9.20 8.18 0.00 0.00 7.70 0.61
        B2 2.7305 3.41 45.44 43.82 4.60 5.78 4.61 5.57 8.66 8.26 239.26 177.55 7.63 0.42
        B3 2.9777 3.92 44.57 43.27 4.59 5.81 4.60 5.58 8.83 8.25 226.58 161.96 7.64 0.44
        B4 4.1426 65.47 36.94 36.00 4.27 6.10 4.49 5.56 9.26 8.67 73.07 330.19 8.31 2.47
        B5 3.9817 3.61 38.02 51.22 4.63 5.87 4.65 5.73 8.27 7.82 217.02 168.84 7.72 0.69
        TAMS
        B1 4.0397 4.65 33.60 43.48 4.68 5.91 4.56 5.68 9.30 8.18 0.00 0.00 7.81 0.95
        B2 4.1254 5.13 25.57 43.47 4.83 5.79 4.53 5.69 9.86 8.41 20.52 193.13 7.80 0.99
        B3 4.0832 5.43 27.93 43.40 4.81 5.84 4.54 5.68 9.66 8.44 19.99 174.17 7.80 0.97
        B4 4.0693 62.61 44.06 36.03 4.41 5.97 4.54 5.56 8.82 8.63 6.63 68.60 7.72 0.65
        B5 4.3382 3.81 34.79 50.91 4.68 5.92 4.63 5.75 8.44 7.81 169.76 181.54 7.86 1.10
        BCHEB
        B1 4.0409 4.65 33.57 43.48 4.69 5.91 4.56 5.68 9.30 8.18 0.00 0.00 7.82 0.99
        B2 4.1297 5.15 25.44 43.46 4.92 5.82 4.53 5.69 9.87 8.41 30.07 192.49 7.97 1.52
        B3 4.0874 5.45 27.80 43.39 4.90 5.87 4.54 5.68 9.68 8.44 29.48 173.40 7.98 1.50
        B4 4.1281 63.03 43.88 35.95 4.48 5.99 4.53 5.56 9.04 8.63 4.75 60.68 7.91 1.21
        B5 4.3422 3.82 34.74 50.91 4.75 5.94 4.63 5.76 8.44 7.81 149.04 181.17 8.02 1.60
        BMT2
        B1 4.0474 4.67 33.39 43.47 4.63 6.00 4.58 5.69 9.30 9.30 0.00 0.00 8.24 2.29
        B2 3.1581 3.55 43.04 43.10 4.61 5.81 4.59 5.59 8.99 8.19 231.13 191.20 7.64 0.45
        B3 3.1290 3.97 43.65 43.04 4.59 5.82 4.59 5.58 8.93 8.23 223.55 166.73 7.64 0.45
        B4
        B5 4.3460 3.84 34.70 50.90 4.66 5.99 4.63 5.76 8.44 7.81 187.54 180.93 8.26 2.34
        EMT2
        B1 4.0562 5.13 30.44 45.39 4.65 6.06 4.62 5.72 9.48 8.74 0.00 0.00 8.31 2.49
        B2 3.5409 3.78 37.67 44.95 4.61 5.82 4.59 5.65 9.06 8.42 212.81 195.54 7.66 0.51
        B3 3.6151 4.27 37.66 44.50 4.60 5.84 4.58 5.65 9.07 8.44 203.84 175.46 7.66 0.52
        B4
        B5 4.3517 4.25 31.33 51.54 4.67 6.05 4.64 5.77 8.60 7.91 174.27 292.23 8.31 2.49
        ECHEB
        B1 4.4454 8.50 14.60 44.32 5.30 5.71 4.57 5.75 25.43 8.65 0.00 0.00 8.74 3.96
        B2 4.5716 8.31 11.27 42.40 5.27 5.52 4.45 5.73 24.26 8.41 58.94 181.80 8.70 3.93
        B3 4.5155 9.20 12.05 42.46 5.27 5.56 4.47 5.71 24.15 8.44 52.74 142.55 8.68 3.83
        B4 4.3645 94.44 25.01 35.66 5.14 5.92 4.50 5.58 24.02 8.65 0.32 127.17 8.37 2.68
        B5 4.6953 5.16 24.36 51.19 5.18 5.95 4.61 5.80 27.78 7.85 6.01 149.71 8.48 2.99
        BCCB
        B1 4.4468 8.51 14.58 44.31 5.35 5.75 4.57 5.75 24.91 8.65 0.00 0.00 8.89 4.66
        B2 4.5741 8.32 11.24 42.40 5.33 5.58 4.45 5.73 23.39 8.41 67.64 179.57 8.85 4.60
        B3 4.5184 9.22 12.02 42.45 5.34 5.62 4.47 5.71 24.42 8.44 62.74 140.22 8.88 4.71
        B4 4.4963 110.76 20.53 35.48 5.36 5.95 4.48 5.59 24.89 8.65 0.56 99.94 8.90 4.56
        B5 4.7078 5.25 23.75 51.18 5.37 6.03 4.61 5.80 23.51 7.85 10.68 146.97 8.92 4.63
        ECCB
        B1 4.4469 8.51 14.58 44.31 5.41 5.77 4.57 5.75 24.88 8.65 0.00 0.00 9.04 5.38
        B2 4.5743 8.32 11.24 42.40 5.37 5.60 4.45 5.73 22.95 8.41 66.77 173.97 9.01 5.44
        B3 4.5185 9.22 12.01 42.45 5.38 5.64 4.47 5.71 24.41 8.44 63.39 136.75 9.01 5.41
        B4 4.4963 110.77 20.53 35.48 5.42 5.97 4.48 5.59 24.88 8.65 0.67 98.21 9.05 5.22
        B5 4.7078 5.25 23.75 51.18 5.42 6.04 4.61 5.80 23.50 7.85 12.57 144.92 9.05 5.18
        下载: 导出CSV

        Sequence Age/Myr $M_1/M_{\odot}$ log($X_{\rm ^{1}H}$) log($X_{\rm ^{4}He}$) log($X_{\rm ^{12}C}$) log($X_{\rm ^{14}N}$) log($X_{\rm ^{16}O}$) log($X_{\rm ^{19}F}$) log($X_{\rm ^{20}Ne}$) log($X_{\rm ^{22}Ne}$) $X_{\rm ^{26}Al}$
        ZAMS
        S1 0.0000 60.00 –0.14 –0.58 –2.62 –3.15 –2.18 –6.46 –2.87 –3.96 0
        S2 0.0000 60.00 –0.14 –0.58 –2.62 –3.15 –2.18 –6.46 –2.87 –3.96 0
        S6 0.0000 60.00 –0.12 –0.63 –3.45 –3.98 –3.01 –7.28 –3.69 –4.78 0
        TAMS
        S1 3.9511 42.02 –0.23 –0.40 –3.91 –2.08 –3.07 –9.23 –2.87 –6.77 9.77 × 10–6
        S2 4.1537 44.42 –0.22 –0.42 –3.70 –2.11 –2.86 –7.86 –2.87 –5.37 4.57 × 10–6
        S6 5.0531 34.52 –0.99 –0.05 –4.56 –2.88 –4.60 –10.46 –3.83 –7.51 4.36 × 10–6
        BCHEB
        S1 3.9550 42.01 –0.23 –0.40 –3.91 –2.08 –3.07 –9.23 –2.87 –6.77 9.77 × 10–6
        S2 4.1574 44.40 –0.22 –0.41 –3.77 –2.10 –2.91 –8.07 –2.87 –5.58 4.89 × 10–6
        S6 5.0570 34.44 –0.99 –0.05 –4.56 –2.88 –4.60 –10.46 –3.83 –7.51 4.36 × 10–6
        WNL
        S1 4.1147 34.94 –0.58 –0.14 –3.87 –2.06 –3.63 –9.72 –2.88 –6.53 4.16 × 10–5
        S2 4.3343 36.29 –0.57 –0.14 –3.82 –2.06 –3.59 –9.67 –2.88 –6.45 3.54 × 10–5
        S6 4.1796 48.34 –0.52 –0.16 –4.60 –2.88 –4.55 –10.50 –3.79 –7.50 4.46 × 10–6
        WNE
        S1 4.1801 31.26 –5.02 –0.01 –3.73 –2.05 –3.77 –9.61 –2.89 –6.56 5.62 × 10–5
        S2
        S6
        WC
        S1 4.2217 28.36 –21.87 –0.51 –0.34 –17.12 –0.68 –4.71 –2.80 –1.88 1.12 × 10–15
        S2 4.4173 30.79 –5.22 –0.02 –1.50 –2.06 –2.05 –5.72 –2.89 –2.91 4.67 × 10–5
        S6 5.2107 29.81 –5.80 –0.02 –1.37 –2.89 –2.52 –6.15 –3.84 –3.38 3.80 × 10–6
        WO
        S1 4.2569 26.70 –21.35 –0.65 –0.34 –16.95 –0.52 –4.72 –2.70 –1.89 2.57 × 10–15
        S2 4.4302 28.58 –17.68 –0.71 –0.36 –5.17 –0.45 –4.72 –2.63 –1.91 4.16 × 10–8
        S6 5.3898 18.84 –29.68 –0.64 –0.32 –17.99 –0.55 –5.48 –3.51 –2.71 8.51 × 10–17
        ECHEB
        S1 4.3054 25.27 –29.41 –0.77 –0.37 –16.81 –0.41 –4.72 –2.59 –1.91 5.01 × 10–15
        S2 4.5120 25.94 –28.78 –0.82 –0.39 –16.61 –0.38 –4.72 –2.54 –1.93 7.07 × 10–15
        S6 5.4231 18.20 –35.90 –0.71 –0.33 –17.93 –0.48 –5.48 –3.43 –2.72 1.14 × 10–16
        BCCB
        S1 4.3099 25.16 –22.67 –0.79 –0.37 –16.80 –0.40 –4.73 –2.58 –1.92 5.37 × 10–15
        S2 4.5167 25.81 –24.97 –0.83 –0.40 –16.64 –0.37 –4.72 –2.52 –1.93 7.58 × 10–15
        S6 5.4284 18.10 –27.74 –0.72 –0.33 –17.93 –0.47 –5.48 –3.41 –2.72 1.54 × 10–16
        ECCB
        S1 4.3100 25.15 –24.54 –0.79 –0.37 –16.80 –0.40 –4.73 –2.58 –1.92 5.37 × 10–15
        S2 4.5167 25.81 –24.26 –0.83 –0.40 –16.64 –0.37 –4.72 –2.52 –1.93 7.76 × 10–15
        S6 5.4285 18.10 –27.99 –0.72 –0.33 –17.93 –0.47 –5.48 –3.41 –2.72 1.54 × 10–16
        下载: 导出CSV

        Sequence Age/Myr $M_1/M_{\odot}$ log($X_{\rm ^{1}H}$) log($X_{\rm ^{4}He}$) log($X_{\rm ^{12}C}$) log($X_{\rm ^{14}N}$) log($X_{\rm ^{16}O}$) log($X_{\rm ^{19}F}$) log($X_{\rm ^{20}Ne}$) log($X_{\rm ^{22}Ne}$) $X_{\rm ^{26}Al}$
        ZAMS
        B1 0.0000 60.00 –0.14 –0.58 –2.62 –3.15 –2.18 –6.46 –2.87 –3.96 0
        B2 0.0000 60.00 –0.14 –0.58 –2.62 –3.15 –2.18 –6.46 –2.87 –3.96 0
        BTM1
        B1 2.6862 53.01 –0.14 –0.58 –2.62 –3.15 –2.18 –6.54 –2.95 –4.04 3.31 × 1021
        B2 2.6314 51.90 –0.14 –0.58 –2.76 –2.74 –2.21 –6.66 –2.95 –4.16 3.38 × 10–7
        ETM1
        B1 3.8956 36.84 –0.40 –0.23 –3.87 –2.06 –3.56 –9.69 –2.96 –6.62 1.81 × 10–5
        B2 2.7305 45.44 –0.16 –0.53 –3.02 –2.36 –2.38 –6.94 –2.95 –4.45 3.89 × 10–6
        ECHB
        B1 4.0397 33.60 –0.50 –0.18 –3.85 –2.05 –3.61 –9.72 –2.96 –6.61 2.45 × 10–5
        B2 4.1254 25.57 –1.06 –0.05 –3.80 –2.05 –3.67 –9.68 –2.96 –6.63 4.16 × 10–5
        BCHEB
        B1 4.0409 33.57 –0.50 –0.18 –3.85 –2.05 –3.61 –9.72 –2.96 –6.61 2.45 × 10–5
        B2 4.1297 25.44 –1.07 –0.05 –3.80 –2.05 –3.67 –9.68 –2.96 –6.63 4.16 × 10–5
        BMT2
        B1 4.0474 33.39 –0.50 –0.18 –3.85 –2.05 –3.61 –9.72 –2.96 –6.61 2.51 × 10–5
        B2 3.1581 43.04 –0.24 –0.39 –3.80 –2.09 –2.95 –8.24 –2.95 –5.76 1.31 × 10–5
        WNL
        B1 4.0480 32.78 –0.52 –0.16 –3.85 –2.05 –3.61 –9.73 –2.96 –6.62 2.81 × 10–5
        B2 3.8633 32.25 –0.52 –0.16 –3.85 –2.05 –3.61 –9.72 –2.96 –6.60 2.95 × 10–5
        EMT2
        B1 4.0562 30.44 –0.68 –0.11 –3.84 –2.05 –3.64 –9.72 –2.96 –6.60 3.89 × 10–5
        B2 3.5409 37.67 –0.28 –0.34 –3.86 –2.07 –3.16 –8.72 –2.95 –6.19 1.41 × 10–5
        WNE
        B1 4.1344 26.76 –5.00 –0.01 –3.73 –2.05 –3.76 –9.59 –2.97 –6.65 4.78 × 10–5
        B2 4.2129 22.30 –5.18 –0.01 –3.68 –2.06 –3.74 –9.45 –2.97 –6.52 4.78 × 10–5
        WC
        B1 4.1976 23.92 –28.45 –0.09 –0.80 –14.82 –2.17 –4.58 –2.97 –1.87 6.45 × 10–17
        B2 4.2498 21.01 –10.94 –0.01 –2.05 –2.10 –3.40 –5.62 –2.97 –2.91 4.36 × 10–5
        WO
        B1 4.4339 14.75 –31.67 –0.64 –0.31 –17.28 –0.58 –4.59 –2.85 –1.88 5.62 × 10–5
        B2
        ECHEB
        B1 4.4454 14.60 –31.77 –0.70 –0.31 –17.19 –0.53 –4.59 –2.82 –1.89 7.76 × 10–16
        B2 4.5716 11.27 –30.86 –0.60 –0.30 –17.45 –0.65 –4.58 –2.90 –1.88 2.45 × 10–16
        BCCB
        B1 4.4468 14.58 –31.25 –0.70 –0.31 –17.19 –0.53 –4.59 –2.82 –1.89 7.76 × 10–16
        B2 4.5741 11.24 –29.98 –0.61 –0.30 –17.44 –0.64 –4.58 –2.90 –1.88 2.51 × 10–16
        ECCB
        B1 4.4469 14.58 –31.22 –0.70 –0.31 –17.19 –0.53 –4.59 –2.82 –1.89 7.76 × 10–16
        B2 4.5743 11.24 –29.54 –0.61 –0.30 –17.44 –0.64 –4.58 –2.90 –1.88 2.51 × 10–16
        下载: 导出CSV
      • [1]

        [2]

        [3]

        [4]

        [5]

        [6]

        [7]

        [8]

        [9]

        [10]

        [11]

        [12]

        [13]

        [14]

        [15]

        [16]

        [17]

        [18]

        [19]

        [20]

        [21]

        [22]

        [23]

        [24]

        [25]

        [26]

        [27]

        [28]

        [29]

        [30]

        [31]

        [32]

        [33]

        [34]

        [35]

        [36]

        [37]

        [38]

      • [1] 刁彬, 许妍, 黄修林, 王夷博.利用含δ介子的相对论平均场理论研究中子星潮汐形变性质. 必威体育下载 , 2023, 72(2): 022601.doi:10.7498/aps.72.20221599
        [2] 梁华志, 张靖仪.临界中性Gauss-Bonnet-anti-de Sitter黑洞复杂度演化. 必威体育下载 , 2021, 70(3): 030401.doi:10.7498/aps.70.20201286
        [3] 李志, 宋汉峰, 彭卫国, 王靖洲, 詹琼.转动双星同步和轨道圆化的物理过程研究. 必威体育下载 , 2018, 67(19): 199701.doi:10.7498/aps.67.20181056
        [4] 邰丽婷, 宋汉峰, 王江涛.临界转动恒星Achernar的斜压结构与引力昏暗的精细研究. 必威体育下载 , 2016, 65(4): 049701.doi:10.7498/aps.65.049701
        [5] 詹琼, 宋汉峰, 邰丽婷, 王江涛.转动潮汐变形双星理论模型研究. 必威体育下载 , 2015, 64(8): 089701.doi:10.7498/aps.64.089701
        [6] 梁林云, 吕广宏.金属铁中空位团簇演化行为的相场研究. 必威体育下载 , 2013, 62(18): 182801.doi:10.7498/aps.62.182801
        [7] 程钰锋, 聂万胜, 车学科, 田希晖, 侯志勇, 周鹏辉.不同压力下介质阻挡放电等离子体诱导流场演化的实验研究. 必威体育下载 , 2013, 62(10): 104702.doi:10.7498/aps.62.104702
        [8] 宋汉峰, 王靖洲, 李云.辐射压对非同步转动双星系统洛希势函数的影响. 必威体育下载 , 2013, 62(5): 059701.doi:10.7498/aps.62.059701
        [9] 曹晓霞, 马松华, 任清褒, 杨征.(2+1)维破裂孤子方程的多 Solitoff 解及其演化. 必威体育下载 , 2012, 61(14): 140505.doi:10.7498/aps.61.140505
        [10] 蒋黎红, 马松华, 方建平, 吴红玉.(3+1)维Burgers系统的新孤子解及其演化. 必威体育下载 , 2012, 61(2): 020510.doi:10.7498/aps.61.020510
        [11] 兰宇丹, 何立明, 丁伟, 王峰.不同初始温度下H2/O2混合物等离子体的演化. 必威体育下载 , 2010, 59(4): 2617-2621.doi:10.7498/aps.59.2617
        [12] 袁春华, 李晓红, 唐多昌, 杨宏道, 李国强.Nd:YAG纳秒激光诱导硅表面微结构的演化. 必威体育下载 , 2010, 59(10): 7015-7019.doi:10.7498/aps.59.7015
        [13] 石筑一, 张春梅, 童 红, 赵行知, 倪绍勇.102Ru核振动到转动演化的微观研究. 必威体育下载 , 2008, 57(3): 1564-1568.doi:10.7498/aps.57.1564
        [14] 颜森林.混沌信号在光纤传输过程中的非线性演化. 必威体育下载 , 2007, 56(4): 1994-2004.doi:10.7498/aps.56.1994
        [15] 张国营, 张学龙, 程 勇, 薛刘萍, 韩 奎.Pr:YIG晶体抗磁性Faraday转动谱的研究. 必威体育下载 , 2005, 54(1): 407-410.doi:10.7498/aps.54.407
        [16] 方建会, 赵嵩卿.相对论性转动变质量系统的Lie对称性与守恒量. 必威体育下载 , 2001, 50(3): 390-393.doi:10.7498/aps.50.390
        [17] 李林森.引力辐射阻尼对双星轨道要素变化的影响——对过近星点时刻的影响. 必威体育下载 , 1994, 43(5): 694-698.doi:10.7498/aps.43.694
        [18] 孟杰.转动原子核的对关联变化. 必威体育下载 , 1993, 42(3): 368-372.doi:10.7498/aps.42.368
        [19] 张之翔.晶体转动时非常光的轨迹. 必威体育下载 , 1980, 29(11): 1483-1489.doi:10.7498/aps.29.1483
        [20] 沈洪涛, 阮图南, 李扬国.F19的转动能谱. 必威体育下载 , 1959, 15(8): 440-446.doi:10.7498/aps.15.440
      计量
      • 文章访问数:9419
      • PDF下载量:65
      • 被引次数:0
      出版历程
      • 收稿日期:2019-07-08
      • 修回日期:2019-08-12
      • 上网日期:2019-11-01
      • 刊出日期:2019-11-05

        返回文章
        返回
          Baidu
          map