7 acknowledge K. Sato, N. Kohri, S. Matsuura, and K. Ichikawa for useful comments on numerical calculations of big bang nucleosynthesis. We also wish to thank M. Kawasaki and K. Kamada for discussions on baryogenesis and cosmology. This work has been partially supported by the Grants in Aid for Scientific Research (21018004) of the Ministry of Education, Science, Culture, and Sports in Japan. baryogenesis mechanism to exclusively enhance ordinary matters up to η ∼ $^{3}$× 10 − 5 in small regions. We are grateful to an anonymous referee for helpful suggestions to improve the presentation. We wish to Acknowledgments (1999)[astro-ph/9810373]. [18] G. Steigman, Init. J. Mod. Phys. E15 , 1 (2006)[astro-ph/0511534]. [19] J. F. Lara, T. Kajino, G. J. Mathews, Phys. Rev. D73 , 083501 (2006)[astro-ph/0603817]. [20] I. Affleck, and M. Dine, Nucl. Phys. B249 , 361 (1985). [21] A. Dolgov and J. Silk, Phys. Rev. D47 , 4244 (1993). [22] S. Matsuura, A. D. Dolgov, S. Nagataki, K. Sato, Prog. Theore. Phys. 112 , 971 (2004)[astro-ph/0405459]. [23] S. Matsuura, S. Fujimoto, S. Nishimura, M. Hashimoto, and K. Sato, Phys. Rev. D72 , 123505 (2005)[astro-ph/0507439]. [1] G. Meylan and M. Mayor, Astron. Astrophys. 166 , 122 (1986). [2] Y.-W. Lee, J.-M. Joo, Y.-J. Sohn, S.-C. Rey, H.-c. Lee, and A.R. Walker, Nature 402 , 55 (1999)[astro-ph/9911137]. [3] L. R. Bedin, G. Piotto, J. Anderson, S. Cassisi, I. R. King, Y. Momany, and G. Carraro, Astrophys. J. 605 , L125 (2004). [4] A. Bellini, G. Piotto, L. R. Bedin, I. R. King, J. Ander- son, A. P. Milone, and Y. Momany, [astro-ph/0909.4785]. [5] G. Piotto, et al., Astrophys. J. 621 , 777 (2005). [6] S. Villanova, et al., Astrophys. J. 663 , 296 (2007) [7] G. Piotto, [astro-ph/0902.1422]. [8] G. Piotto, L. R. Bedin, J. Anderson, I. R. King, S. Cas- sisi, A. P. Milone, S. Villanva, A. Pietrinferni, and A. Renzini, Astrophys. J. 661 , L53 (2007). [24] S. Matuura, S. Fujimoto, M. Hashimoto, and K. Sato, Phys. Rev. D75 , 068302 (2007)[astro-ph/0704.0635]. [25] J. F. Lara, Phys. Rev. D72 , 023509 (2005). [26] V. Barger, J. P. Kneller, P. Langacker, D. Mar- fatia and G. Steigman, Phys. Lett. B569 , 123 (2003)[hep-ph/0306061]. [27] K. Kamada, and J. Yokoyama, Phys. Rev. D78 , 043502 (2008). [9] G. Illingworth, Astrophys. J. 204 , 73 (1976). [10] Y.-W. Lee, S.-J. Joo, S.-I. Han, C. Chung, C. H. Ree, Y.-J. Sohn, Y.-C. Kim, S.-J. Yoon, S. K. Yi, and P. De- marque, Astrophys. J. 621 , L57 (2005). [11] F. D’Antona, M. Bellazzini, V. Caloi, F. F. Pecci, S. Galleti, and R. T. Rood, Astrophys. J. 631 , 868 (2005). [12] T. Tsujimoto, T. Shigeyama, and T. Suda, Astrophys. J. 654 , L139 (2007)[astro-ph/0611727]; T. Suda, T. Tsuji- moto, T. Shigeyama, and M. Y. Fujimoto, Astrophys. J. 671 , L129 (2007)[astro-ph/0710.5271]. [13] A. Maeder, and G. Meynet, Astron. Astrophys. 448 , L37 (2006). [14] K. Bekki, and J. E. Norris, Astrophys. J. 637 , L109 (2006). [15] Y. I. Izotov, T. X. Thuan, and G. Stasi´ nska, As- trophys. J. 662 , 15 (2007)[astro-ph/0702072]; K. A. Olive and E. D. Skillman, Astrophys. J. 617 , 29 (2004)[astro-ph/0405588]. [16] E. Komatsu, et al., Astrophys. J. Supp. 180 , 330 (2009)[astro-ph/0803.0547]; J. Dunkley, et al., Astro- phys. J. 701 , 1804 (2009)[astro-ph/0803.0586]. [17] J. C. Mather, D. J. Fixsen, R. A. Shafer, C. Mosier, D. T. Wilkinson, Astrophys. J. 512 , 511 [36] A. Stolte, A. M. Ghez, M. Morris, J. R. Lu, W. Brander, and K. Matthews, Astrophys. J. , 675 , 1278 (2008) [35] G. Trancho, N. Bastian, F. Schweizer, and B. W. Miller, Astrophys. J. , 658 , 993 (2007) [34] R. Gratton, C. Sneden, and E. Carretta, Ann. Rev. As- tron. Astrophys. , 42 , 385 (2004) [33] H. Bondi, Mon. Not. Roy. Astron. Soc. 112 , 195 (1952) [32] K. R. Lang, Astrophysical Formulae 3rd ed. (1999). [31] E. Carretta, Astron. J. 131 , 1766 (2006); N. B. Suntzeff and R. P. Kraft, Astron. J. , 111 , 1913 (1996) [30] C. Angulo, et al., Nuc. Phys. A656 , 3 (1999); T. Rauscher, and F. Thielemann, reaclib at http://download.nucastro.org/astro/reaclib/ (2009). [29] P. D. Serpico, S. Esposito, F. Iocco, G. Mangano, G. Miele, and O. Pisanti, [astro-ph/0408076]; R. H. Cyburt, and B. Davids, [nucl-ex/0809.3240]. [28] L. Kawano, Fermilab preprint FERMILAB-Pub-92/04-A (1992).