A model for rp-process within the (p,)-(,p) equilibrium approximation and its application

Zhang Jia-Ming; Xu Xiao-Dong; Sun Bao-Hua

doi:10.7498/aps.62.132501

Abstract

Many of the stable nuclei at the neutron-deficient side of the beta-stability valley cannot be synthesized in the neutron-capture processes. The origin of the so-called p-nuclei has been a long standing question in the nuclear astrophysics. The rapid-proton capture process (rp-process) proposed in the 1980s was one of the possible mechanisms to be responsible for some light p-nuclei. In this work, a model for rapid-proton capture process (rp-process), within the (p,)-(,p) equilibrium approximation, is established. In the framework of this model, the influence of astrophysical conditions (i.e., proton number density, temperature, and proton irradiation time) on the rp-abundance pattern is investigated. In addition, the recent-measured mass data of neutron-deficient atomic nuclei by using the storage ring mass spectrometry at IMP, Lanzhou, are employed in our calculation. It is found that the abundance at A=41 is increased by two orders of magnitude when using the new by determined mass of 41Ti, while the uncertainty of the computed abundance is reduced by almost two orders of magnitude.

Keywords:

Authors and contacts

1.
School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China;
2.
Department of Physics, Beijing Normal University, Beijing 100875, China;
3.
International Research Center for Nuclei and Particles in the Cosmos, Beijing 100191, China
Funds: Project supported by the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-09-0031), the National Basearch Program of China (Grant No. 2013CB834400), the National Natural Science Foundation of China (Grant Nos. 10975008, 11035007, 11105010, 11128510, 11235002), and the Research Fund of State Key Laboratory of Software Development Environment, China (Grant No. SKLSDE-2011ZX-18).

References

[1]	Suess H E, Urey H C 1956 Rev. Mod. Phys. 28 53
[2]	Burbidge E M, Burbidge G R, Fowler W A, Hoyle F 1957 Rev. Mod. Phys. 29 547
[3]	Cameron A G W 1957 Chalk River Report CRL-41
[4]	Lambert D L 1992 Astron. Astrophys. 3 201
[5]	Woosley S E, Howard W M 1978 Astrophys. J. (Suppl.) 36 285
[6]	Howard W M, Meyer B S, Woosley S E 1991 Astrophys. J. 373 L5
[7]	Arnould M, Goriely S 2003 Phys. Rep. 384 1
[8]	Jose J, Iliadis C 2011 Rep. Prog. Phys. 74 096901
[9]	Wallace R K, Woosley S E 1981 Astrophys. J. (Suppl.) 45 389
[10]	Schatz H, Aprahamian A, Gorres J, Wiescher M, Rauscher T, Rembges J F, Thielemann F K, Pfeiffer B, Möller P, Kratz K L, Herndl H, Brown B A, Rebel H 1998 Phys. Rep. 294 167
[11]	Champagne A E, Wiescher M 1992 Annu. Rev. Nucl. Part. Sci. 42 39
[12]	Haettner E, Ackermann D, Audi G, Blaum K, Block M, Eliseev S, Fleckenstein T, Herfurth F, Hebberger F P, Hofmann S, Ketelaer J, Ketter J, Kluge H J, Marx G, Mazzocco M, Novikov Yu N, Plab W R, Rahaman S, Rauscher T, Rodríguez D, Schatz H, Scheidenberger C, Schweikhard L, Sun B, Thirolf P G, Vorobjev G, Wang M, Weber C 2011 Phys. Rev. Lett. 106 122501
[13]	Schatz H, Aprahamian A, Barnard V, Bildsten L, Cumming A, Ouellette M, Rauscher T, Thielemann F K, Wiescher M 2001 Phys. Rev. Lett. 86 3471
[14]	Ayasli S, Joss P C 1982 Astrophys. J. 256 637
[15]	Taam R E, Woosley S E, Weaver T A, Lamb D Q 1993 Astrophys. J. 413 324
[16]	Van Wormer L, Gorres J, Iliadis C, Wiescher M 1994 Astrophys. J. 432 326
[17]	Schatz H, Rehm K E 2006 Nucl. Phys. A 777 601
[18]	Sun B, Montes F, Geng L S, Geissel H, Litvinov Y A, Meng J 2008 Phys. Rev. C 78 025806
[19]	Sun B H, Meng J 2008 Chin. Phys. Lett. 25 2429
[20]	Niu Z M, Sun B H, Meng J 2009 Phys. Rev. C 80 065806
[21]	Li Z, Niu Z M, Sun B H, Wang N, Meng J 2012 Acta Phys. Sin. 61 072601 (in Chinese) [李竹, 牛中明, 孙保华, 王宁, 孟杰 2012 61 072601]
[22]	Zhang W H, Niu Z M, Wang F, Gong X B, Sun B H 2012 Acta Phys. Sin. 61 112601 (in Chinese) [张蔚泓, 牛中明, 王枫, 龚孝波, 孙保华 2012 61 112601]
[23]	Xu X D, Sun B H, Niu Z M, Li Z, Qian Y Z, Meng J 2013 Phys. Rev. C 87 015805
[24]	JINA Reaclib Database Cyburt R H, Amthor A M, Ferguson R, Meisel Z, Smith K, Warren S, Heger A, Hoffman R D, Rauscher T, Sakharuk A, Schatz H, Thielemann F K, Wiescher M https://groups.nscl.msu.edu/jina/reaclib/db/[2012.3.30]
[25]	Xu H S, Tu X L, Yuan Y J, Xia J W, Zang Y D, Wang M, Mao R S, Hu Z G, Mei B, Shuai P, Zhu Z C, Tang S W, Geng P, Liu Yong, Zhao T C, Zhang HANG X Y, Yang J C, Mao L J, Zhang Y H, Zhou X H, Huang W X, Xiao G Q, Zhao H W, Zhan W L 2009 Chin. Sci. Bull. 54 4749
[26]	Tu X L, Xu H S, Wang M, Zhang Y H, Litvinov Yu A, Sun Y, Schatz H, Zhou X H, Yuan Y J, Xia J W, Audi G, Blaum K, Du C M, Geng P, Hu Z G, Huang W X, Jin S L, Liu L X, Liu Y, Ma X, Mao R S, Mei B, Shuai P, Sun Z Y, Suzuki H,Tang J S, Xiao G Q, Xu X, Yamaguchi T, Yamaguchi Y, Yan X L, Yang J C, Ye R P, Zang Y D, Zhao H W, Zhao T C, Zhang X Y, Zhan W L 2011 Phys. Rev. Lett. 106 112501
[27]	Tu X L, Wang M, Litvinov Yu A, Zhang Y H, Xua H S, Sun Z Y, Audi G, Blaum K, Du C M, Huang W X, Hu Z G, Geng P, Jin S L, Liu L X, Liu Y, Mei B, Mao R S, Ma X W, Suzuki H, Shuai P, Sun Y, Tang S W, Wang J S, Wang S T, Xiao G Q, Xu X, Xia J W, Yang J C, Ye R P, Yamaguchi T, Yan X L, Yuan Y J, Yamaguchi Y, Zang Y D, Zhao H W, Zhao T C, Zhang X Y, Zhou X H, Zhan W L 2011 Nucl. Instrum. Methods Phys. Res. Sect. A 654 213
[28]	Zhang Y H, Xu H S, Litvinov Yu A, Tu X L, Yan X L, Typel S, Blaum K, Wang M, Zhou X H, Sun Y, Brown B A, Yuan Y J, Xia J W, Yang J C, Audi G, Chen X C, Jia G B, Hu Z G, Ma X W, Mao R S, Mei B, Shuai P, Sun Z Y, Wang S T, Xiao G Q, Xu X, Yamaguchi T, Yamaguchi Y, Zhang Y D, Zhao H W, Zhao T C, Zhang W, Zhan W L 2012 Phys. Rev. Lett. 109 102501
[29]	Yan X L, Xu H S, Litvinov Yu A, Zhang Y H, Schatz H, Tu X L, Blaum K, Zhou X H, Sun B H, He J J, Sun Y, Wang M, Yuan Y J, Xia J W, Yang J C, Audi G, Jia G B, Hu Z G, Ma X W, Mao R S, Mei B, Shuai P, Sun Z Y, Wang S T, Xiao G Q, Xu X, Yamaguchi T, Yamaguchi Y, Zang Y D, Zhao H W, Zhao T C, Zhang W, Zhan W L 2013 APJ 766 L8
[30]	Zhou Xiao-Hong, Yan Xin-Liang, Tu Xiao-Lin, Wang Meng 2010 Precise mass measurement of nuclides. Physics 39 659 (in Chinese) [周小红, 颜鑫亮, 涂小林, 王猛 2010 物理 39 659]
[31]	Sun Bao-Hua, Meng Jie 2010 Progress in precision mass measurements of atomic nuclei. Physics 39 666 (in Chinese) [孙保华, 孟杰 2010 物理 39 666]

Cited By

[1]	Suess H E, Urey H C 1956 Rev. Mod. Phys. 28 53
[2]	Burbidge E M, Burbidge G R, Fowler W A, Hoyle F 1957 Rev. Mod. Phys. 29 547
[3]	Cameron A G W 1957 Chalk River Report CRL-41
[4]	Lambert D L 1992 Astron. Astrophys. 3 201
[5]	Woosley S E, Howard W M 1978 Astrophys. J. (Suppl.) 36 285
[6]	Howard W M, Meyer B S, Woosley S E 1991 Astrophys. J. 373 L5
[7]	Arnould M, Goriely S 2003 Phys. Rep. 384 1
[8]	Jose J, Iliadis C 2011 Rep. Prog. Phys. 74 096901
[9]	Wallace R K, Woosley S E 1981 Astrophys. J. (Suppl.) 45 389
[10]	Schatz H, Aprahamian A, Gorres J, Wiescher M, Rauscher T, Rembges J F, Thielemann F K, Pfeiffer B, Möller P, Kratz K L, Herndl H, Brown B A, Rebel H 1998 Phys. Rep. 294 167
[11]	Champagne A E, Wiescher M 1992 Annu. Rev. Nucl. Part. Sci. 42 39
[12]	Haettner E, Ackermann D, Audi G, Blaum K, Block M, Eliseev S, Fleckenstein T, Herfurth F, Hebberger F P, Hofmann S, Ketelaer J, Ketter J, Kluge H J, Marx G, Mazzocco M, Novikov Yu N, Plab W R, Rahaman S, Rauscher T, Rodríguez D, Schatz H, Scheidenberger C, Schweikhard L, Sun B, Thirolf P G, Vorobjev G, Wang M, Weber C 2011 Phys. Rev. Lett. 106 122501
[13]	Schatz H, Aprahamian A, Barnard V, Bildsten L, Cumming A, Ouellette M, Rauscher T, Thielemann F K, Wiescher M 2001 Phys. Rev. Lett. 86 3471
[14]	Ayasli S, Joss P C 1982 Astrophys. J. 256 637
[15]	Taam R E, Woosley S E, Weaver T A, Lamb D Q 1993 Astrophys. J. 413 324
[16]	Van Wormer L, Gorres J, Iliadis C, Wiescher M 1994 Astrophys. J. 432 326
[17]	Schatz H, Rehm K E 2006 Nucl. Phys. A 777 601
[18]	Sun B, Montes F, Geng L S, Geissel H, Litvinov Y A, Meng J 2008 Phys. Rev. C 78 025806
[19]	Sun B H, Meng J 2008 Chin. Phys. Lett. 25 2429
[20]	Niu Z M, Sun B H, Meng J 2009 Phys. Rev. C 80 065806
[21]	Li Z, Niu Z M, Sun B H, Wang N, Meng J 2012 Acta Phys. Sin. 61 072601 (in Chinese) [李竹, 牛中明, 孙保华, 王宁, 孟杰 2012 61 072601]
[22]	Zhang W H, Niu Z M, Wang F, Gong X B, Sun B H 2012 Acta Phys. Sin. 61 112601 (in Chinese) [张蔚泓, 牛中明, 王枫, 龚孝波, 孙保华 2012 61 112601]
[23]	Xu X D, Sun B H, Niu Z M, Li Z, Qian Y Z, Meng J 2013 Phys. Rev. C 87 015805
[24]	JINA Reaclib Database Cyburt R H, Amthor A M, Ferguson R, Meisel Z, Smith K, Warren S, Heger A, Hoffman R D, Rauscher T, Sakharuk A, Schatz H, Thielemann F K, Wiescher M https://groups.nscl.msu.edu/jina/reaclib/db/[2012.3.30]
[25]	Xu H S, Tu X L, Yuan Y J, Xia J W, Zang Y D, Wang M, Mao R S, Hu Z G, Mei B, Shuai P, Zhu Z C, Tang S W, Geng P, Liu Yong, Zhao T C, Zhang HANG X Y, Yang J C, Mao L J, Zhang Y H, Zhou X H, Huang W X, Xiao G Q, Zhao H W, Zhan W L 2009 Chin. Sci. Bull. 54 4749
[26]	Tu X L, Xu H S, Wang M, Zhang Y H, Litvinov Yu A, Sun Y, Schatz H, Zhou X H, Yuan Y J, Xia J W, Audi G, Blaum K, Du C M, Geng P, Hu Z G, Huang W X, Jin S L, Liu L X, Liu Y, Ma X, Mao R S, Mei B, Shuai P, Sun Z Y, Suzuki H,Tang J S, Xiao G Q, Xu X, Yamaguchi T, Yamaguchi Y, Yan X L, Yang J C, Ye R P, Zang Y D, Zhao H W, Zhao T C, Zhang X Y, Zhan W L 2011 Phys. Rev. Lett. 106 112501
[27]	Tu X L, Wang M, Litvinov Yu A, Zhang Y H, Xua H S, Sun Z Y, Audi G, Blaum K, Du C M, Huang W X, Hu Z G, Geng P, Jin S L, Liu L X, Liu Y, Mei B, Mao R S, Ma X W, Suzuki H, Shuai P, Sun Y, Tang S W, Wang J S, Wang S T, Xiao G Q, Xu X, Xia J W, Yang J C, Ye R P, Yamaguchi T, Yan X L, Yuan Y J, Yamaguchi Y, Zang Y D, Zhao H W, Zhao T C, Zhang X Y, Zhou X H, Zhan W L 2011 Nucl. Instrum. Methods Phys. Res. Sect. A 654 213
[28]	Zhang Y H, Xu H S, Litvinov Yu A, Tu X L, Yan X L, Typel S, Blaum K, Wang M, Zhou X H, Sun Y, Brown B A, Yuan Y J, Xia J W, Yang J C, Audi G, Chen X C, Jia G B, Hu Z G, Ma X W, Mao R S, Mei B, Shuai P, Sun Z Y, Wang S T, Xiao G Q, Xu X, Yamaguchi T, Yamaguchi Y, Zhang Y D, Zhao H W, Zhao T C, Zhang W, Zhan W L 2012 Phys. Rev. Lett. 109 102501
[29]	Yan X L, Xu H S, Litvinov Yu A, Zhang Y H, Schatz H, Tu X L, Blaum K, Zhou X H, Sun B H, He J J, Sun Y, Wang M, Yuan Y J, Xia J W, Yang J C, Audi G, Jia G B, Hu Z G, Ma X W, Mao R S, Mei B, Shuai P, Sun Z Y, Wang S T, Xiao G Q, Xu X, Yamaguchi T, Yamaguchi Y, Zang Y D, Zhao H W, Zhao T C, Zhang W, Zhan W L 2013 APJ 766 L8
[30]	Zhou Xiao-Hong, Yan Xin-Liang, Tu Xiao-Lin, Wang Meng 2010 Precise mass measurement of nuclides. Physics 39 659 (in Chinese) [周小红, 颜鑫亮, 涂小林, 王猛 2010 物理 39 659]
[31]	Sun Bao-Hua, Meng Jie 2010 Progress in precision mass measurements of atomic nuclei. Physics 39 666 (in Chinese) [孙保华, 孟杰 2010 物理 39 666]

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Vol. 62, Issue 13 - 2013-07-05

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