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The two-layer Q-ball solutions in the complex scalar field model are studied in this paper, and the Q-ball charge and energy are calculated in an analytical form. Meantime, the energy stability is analyzed, and the perturbative expression of Q-ball is obtained by means of Klein-Gordon equation. Moreover, the physical effect of Q-ball dark matter is also discussed.
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Keywords:
- Klein-Gordon equation /
- Q-ball solutions /
- energy stability and perturbation /
- dark matter
[1] Coleman S 1985 Nucl. Phys. B 262 263
[2] Kusenko A, Shaposhnikov M 1998 Phys. Lett. B 418 46
[3] MacKenzie R B, Paranjape M B 2001 JHEP. 0108 3
[4] Kusenko A, Shaposhnikov M, Tinyakov P G 1998 Pisma Zh. Eksp. Teor. Fiz. 167 229
[5] Verbin Y 2007 Phys. Rev. D 76 085018
[6] Kleihaus B, Kunz J, List M, Schaffer I 2008 Phys. Rev. D 77 064025
[7] Kusenko A, Mazumdar A 2008 Phys. Rev. Lett. 101 211301
[8] Shiromizu T 1998 Phys. Rev. D 58 107301
[9] Arodz H, Lis J 2009 Phys. Rev. D 79 045002
[10] Palti E, Saffin P M,Copeland E J 2004 Phys. Rev. D 70 083520
[11] Bakari D, Dekhissi H, Derkaoui J, Giacomelli G, Mandrioli G, Ouchrif M, Patrizii L, Popa V 2001 Astropart. Phys. 15 137
[12] Clark S 2006 Nucl. Phys. B 756 38
[13] Sahnoun Z 2009 Radiat. Mea. 44 894
[14] Ouchrif M 2000 Nucl. Phys. Proc. Suppl. 85 231
[15] Zhou Q, L B B, Tian Q 2010 Chin. Phys. B 19 066301
[16] Chetouani L, Chargui Y, Trabelsi A 2010 Chin. Phys. B 19 020305
[17] Liu L, Pei S Y 2006 Acta Phys Sin. 55 4980 (in Chinese) [刘辽, 裴寿镛 2006 55 4980]
[18] Chen J H, Wang Y J 2010 Chin. Phys. B 19 010401
[19] L J B, Wu Y B, Xu L X, Wang Y T 2011 Chin. Phys. B 20 079801
[20] Li Ji G, Yan J, Zou B X, Su W J 2011 Acta Phys. Sin. 60 050301 (in Chinese) [李季根, 颜骏, 邹伯夏, 苏文杰 2011 60 050301]
[21] Su W J,Yan J 2012 Can. J. Phys. 90 1279
[22] Zou B X, Yan J, Li J G 2010 Acta Phys. Sin. 59 7602 (in Chinese) [邹伯夏, 颜骏, 李季根 2010 59 7602]
[23] Zou B X, Yan J, Li J G, Su W J 2011 Gen. Rel. Grav. 43 305
-
[1] Coleman S 1985 Nucl. Phys. B 262 263
[2] Kusenko A, Shaposhnikov M 1998 Phys. Lett. B 418 46
[3] MacKenzie R B, Paranjape M B 2001 JHEP. 0108 3
[4] Kusenko A, Shaposhnikov M, Tinyakov P G 1998 Pisma Zh. Eksp. Teor. Fiz. 167 229
[5] Verbin Y 2007 Phys. Rev. D 76 085018
[6] Kleihaus B, Kunz J, List M, Schaffer I 2008 Phys. Rev. D 77 064025
[7] Kusenko A, Mazumdar A 2008 Phys. Rev. Lett. 101 211301
[8] Shiromizu T 1998 Phys. Rev. D 58 107301
[9] Arodz H, Lis J 2009 Phys. Rev. D 79 045002
[10] Palti E, Saffin P M,Copeland E J 2004 Phys. Rev. D 70 083520
[11] Bakari D, Dekhissi H, Derkaoui J, Giacomelli G, Mandrioli G, Ouchrif M, Patrizii L, Popa V 2001 Astropart. Phys. 15 137
[12] Clark S 2006 Nucl. Phys. B 756 38
[13] Sahnoun Z 2009 Radiat. Mea. 44 894
[14] Ouchrif M 2000 Nucl. Phys. Proc. Suppl. 85 231
[15] Zhou Q, L B B, Tian Q 2010 Chin. Phys. B 19 066301
[16] Chetouani L, Chargui Y, Trabelsi A 2010 Chin. Phys. B 19 020305
[17] Liu L, Pei S Y 2006 Acta Phys Sin. 55 4980 (in Chinese) [刘辽, 裴寿镛 2006 55 4980]
[18] Chen J H, Wang Y J 2010 Chin. Phys. B 19 010401
[19] L J B, Wu Y B, Xu L X, Wang Y T 2011 Chin. Phys. B 20 079801
[20] Li Ji G, Yan J, Zou B X, Su W J 2011 Acta Phys. Sin. 60 050301 (in Chinese) [李季根, 颜骏, 邹伯夏, 苏文杰 2011 60 050301]
[21] Su W J,Yan J 2012 Can. J. Phys. 90 1279
[22] Zou B X, Yan J, Li J G 2010 Acta Phys. Sin. 59 7602 (in Chinese) [邹伯夏, 颜骏, 李季根 2010 59 7602]
[23] Zou B X, Yan J, Li J G, Su W J 2011 Gen. Rel. Grav. 43 305
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