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宇宙核时钟不确定度的研究

张蔚泓 牛中明 王枫 龚孝波 孙保华

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宇宙核时钟不确定度的研究

张蔚泓, 牛中明, 王枫, 龚孝波, 孙保华

Uncertainties of nucleo-chronometers from nuclear physics inputs

Zhang Wei-Hong, Niu Zhong-Ming, Wang Feng, Gong Xiao-Bo, Sun Bao-Hua
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  • 基于经典快过程理论模型, 研究了原子核物理输入量的不确定性对Th/U, Th/Hf, Th/Eu, Th/Os, Th/Ir等核时钟估算宇宙年龄的影响. 其中利用蒙特卡罗模拟方法, 计算了不同质量模型下由单中子分离能引起的不确定性.结果表明, Th/U核时钟由原子核质量不确定性引起的误差大约为1.66 Ga, 比其他核时钟小2 Ga以上.对 Th/Eu, Th/Os和Th/Ir核时钟, 该误差分别为5.15, 3.93和3.95 Ga.由于Th/Hf核时钟受质量模型影响太大, 而Th/Os和Th/Ir的计算结果又明显偏大, 因此在年龄计算中都需谨慎使用.综合考虑原子核物理输入量和天文观测带来的误差, 利用Th/U核时钟估算的宇宙年龄为14.1 3.8 Ga.
    The influences of uncertainties in nuclear physics inputs on the Th/U, Th/Hf, Th/Eu, Th/Os, Th/Ir nucleo-chronometers are investigated in the framework of the classical r-process approach. A Monte-Carlo method is used to evaluate the age uncertainty originating from neutron separation energies for each nuclear mass model. It is found that the deduced age uncertainty for Th /U can be up to 1.66 Ga, and for the three chronometers, Th/Eu, Th/Os, Th/Ir, the uncertainties are 5.15 Ga, 3.93 Ga and 3.95 Ga, respectively. The recently proposed chronometer, Th/Hf, shows a clear model dependence, while Th/Os and Th/Ir chronometers tend to overestimate the age of Universe. Taking into account the uncertainties in nuclear physics inputs and observations, an up-to-date age estimation for the universe with the Th/U chronometer is 14.1? 3.8 Ga.
    • 基金项目: 北航大学生科研训练计划(SRTP)、 软件开发环境国家重点实验室 (批准号: SKLSDE-2011ZX-18)、 教育部新世纪优秀人才支持计划 (批准号: NCET-09-0031)、 安徽大学211工程(批准号: 02303319) 和国家自然科学基金(批准号: 10975008, 11105010, 11035007, 11128510) 资助的课题.
    • Funds: Project supported by the Student Research Training Program of Beihang University, China, the Research Fund of State Key Laboratory of Software Development Environment, China (Grant No. SKLSDE-2011ZX-18), the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-09-0031), the 211 Project of Anhui University, China (Grant No. 02303319), and the National Natural Science Foundation of China (Grant Nos. 10975008, 11105010, 11035007, 11128510).
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  • [1]

    Komatsu E, Dunkley J, Nolta M R, Bennett C L, Gold B, Hinshaw G, Jarosik N, Larson D, Limon M, Page L, Spergel D N, Halpern M, Hill R S, Kogut A, Meyer S S, Tucker G S, Weiland J L, Wollack E, Wrightet E L 2009 Astrophys. J. Suppl. Ser. 180 330

    [2]
    [3]

    Burbidge E M, Burbidge G R, Fowler W A, Hoyle F 1957 Rev. Mod. Phys. 29 547

    [4]

    Cowan J J, Pfeiffer B, Kratz K L, Thielemann F K, Sneden C, Burles S, Tytler D, Beers T C 1999 Astrophys. J. 521 194

    [5]
    [6]

    Niu Z M, Sun B H, Meng J 2009 Phys. Rev. C 80 065806

    [7]
    [8]

    Meng J, Niu Z M, Liang H Z, Sun B H 2011 Sci. Chin. G 54 s119

    [9]
    [10]

    Carretta E, Gratton R G, Clementini G, Pecci F F 2000 Astrophys. J. 533 215

    [11]
    [12]

    Hansen B M S, Richer H B, Fahlman G G, Stetson P B, Brewer J, Currie T, Gibson B K, Ibata R, Rich R M, Shara M M 2004 Astrophys. J. Suppl. Ser. 155 551

    [13]
    [14]
    [15]

    Rutherford E 1929 Nature 123 313

    [16]
    [17]

    Noddack I, Noddack W 1930 Naturwiss. 35 59

    [18]

    Fowler W A, Hoyle F 1960 Ann. Phys. 10 280

    [19]
    [20]
    [21]

    Butcher H R 1987 Nature 328 127

    [22]
    [23]

    Franois P, Spite M, Spite F 1993 Astron. Astrophys. 274 821

    [24]
    [25]

    Cowan J J, Sneden C 2006 Nature 440 1151

    [26]
    [27]

    Sneden C, McWilliam A, Preston G W, Cowan J J, Burris D L, Armosky B J 1996 Astrophys. J. 467 819

    [28]

    Westin J, Sneden C, Gustafsson B, Cowan J J 2000 Astrophys. J. 530 783

    [29]
    [30]
    [31]

    Hill V, Plez B, Cayrel R, Beers T C, Nordstrm B, Andersen J, Spite M, Spite F, Barbuy B, Bonifacio P, Depagne E, Franois P, Primas F 2002 Astron. Astrophys. 387 560

    [32]

    Frebel A, Christlieb N, Norris J E, Thom C, Beers T C, Rhee J 2007 Astrophys. J. 660 L117

    [33]
    [34]
    [35]

    Cayrel R, Hill V, Beers T C, Barbuy B, Spite M, Spite F, Plez B, Andersen J, Bonifacio P, Franois P, Molaro P, Nordstrm B, Primas F 2001 Nature 409 691

    [36]
    [37]

    Cowan J J, Sneden C, Burles S, Ivans I I, Beers T C, Truran J W, Lawler J E, Primas F, Fuller G M, Pfeiffer B, Kratz K L 2002 Astrophys. J. 572 861

    [38]

    Goriely S, Arnould M 2001 Astron. Astrophys. 379 1113

    [39]
    [40]
    [41]

    Schatz H, Toenjes R, Pfeiffer B, Beers T C, Cowan J J, Hill V, Kratz K L 2002 Astrophys. J. 579 626

    [42]
    [43]

    Audi G, Bersillon O, Blachot J, Wapstra A H 2003 Nucl. Phys. A 729 3

    [44]

    Sun B, Knbel R, Litvinov Y A, Geissel H, Meng J, Beckert K, Bosch F, Boutin D, Brandau C, Chen L, Cullen I J, Dimopoulou C, Fabian B, Hausmann M, Kozhuharov C, Litvinov S A, Mazzocco M, Montes F, Mnzenberg G, Musumarra A, Nakajima S, Nociforo C, Nolden F, Ohtsubo T, Ozawa A, Patyk Z, Pla W R, Scheidenberger C, Steck M, Suzuki T, Walker P M, Weick H, Winckler N, Winkler M, Yamaguchi T 2008 Nucl. Phys. A 812 1

    [45]
    [46]

    Duflo J, Zuker A P 1995 Phys. Rev. C 52 R23

    [47]
    [48]

    Koura H, Tachibana T, Uno M, Yamada M 2005 Prog. Theor. Phys. 113 305

    [49]
    [50]

    Goriely S, Chamel N, Pearson J M 2009 Phys. Rev. Lett. 102 152503

    [51]
    [52]

    Geng L S, Toki H, Meng J 2005 Prog. Theor. Phys. 113 785

    [53]
    [54]

    Kratz K L, Farouqi K, Pfeiffer B, Truran J W, Sneden C, Cowan J J 2007 Astrophys. J. 662 39

    [55]
    [56]

    Sun B, Montes F, Geng L S, Geissel H, Litvinov Y A, Meng J 2008 Phys. Rev. C 78 025806

    [57]
    [58]
    [59]

    Sun B H, Meng J 2008 Chin. Phys. Lett. 25 2429

    [60]
    [61]

    Mller P, Nix J R, Myers W D, Swiatecki W J 1995 At. Data Nucl. Data Tables 59 185

    [62]
    [63]

    Pearson J M, Nayak R C, Goriely S 1996 Phys. Lett. B 387 455

    [64]
    [65]

    Mller P, Pfeiffer B, Kratz K L 2003 Phys. Rev. C 67 055802

    [66]
    [67]

    Sneden C, Cowan J J, Gallino R 2008 Annu. Rev. Astron. Astrophys. 46 241

    [68]

    Simmerer J, Sneden C, Cowan J J, Collier J, Woolf V M, Lawler J E 2004 Astrophys. J. 617 1091

    [69]
    [70]
    [71]

    Lodders K 2003 Astrophys. J. 591 1220

    [72]

    Otsuki K, Mathews G J, Kajino T 2003 New Astron. 8 767

    [73]
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出版历程
  • 收稿日期:  2011-08-21
  • 修回日期:  2012-06-05
  • 刊出日期:  2012-06-05

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