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The relations of fusion barrier height and position to charge number and root-mean-square radus of the interacting nucleus for projectile fusing with the different target nuclei are systematically analyzed in this paper. The nuclear potential is calculated by using the double folding model with the density-dependence nucleon-nucleon interaction(CDM3Y6). The pocket formulas are obtained for the fusion barrier height and position for projectile fusing with the different nuclei with mass in a range from 16 to 238. The parameterized formulas can reproduce the exact barrier heights and positions only for projectile within the accuracy of 1%. Moreover, the results are perfectly agreeable with the experimental data, the empirical data and the results of Royer, KNS, AW and the proximity potential.
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Keywords:
- fusion reaction /
- fusion barrier height and position /
- parametrization
[1] Leigh J R, Dasgupta M, Hinde D J, Mein J C, Morton C R, Lemmon R C, Lestone J P, Newton J O, Timmers H, Wei J X 1995 Phys. Rev. C 52 3151
[2] Liu Z H, Bao D J 2004 Chin. Phys. Lett. 21 1491
[3] Liu Z H, Zhou H Y 2007 Chin. Phys. 16 2338
[4] Signorini C 2004 Nucl. Phys. A 735 329
[5] Kolata J J 1998 Phys. Rev. C 57 R6
[6] Graeger R 2010 Phys. Rev. C 81 R061601
[7] Crema E, Gomes P R S, Chamon L C 2007 Nucl. Phys. A 787 225
[8] Jia F, Xu H S, Zheng C, Fan R R, Zhang X Y, Li J Q, Scheid W 2007 Acta Phys. Sin. 56 2047 (in Chinese) [
[9] Dutt Ishwar, Puri Rajeev K 2010 Phys. Rev. C 81 064608
[10] Dutt Ishwar, Puri Rajeev K 2010 Phys. Rev. C 81 064609
[11] Zhang G L, Liu H, Le X Y 2009 Chin. Phys. B 18 0136
[12] Zhang G L, Le X Y 2008 Chin. Phys. C 32 312
[13] Chen X, Lui Y W, Clark H L, Tokimoto Y, Youngblood D H 2007 Phys. Rev. C 76 054606
[14] Gupta D, Basu D N 2005 Nucl. Phys. A 748 402
[15] Basu D N, Chowdhury P Roy, Samanta C 2005 Phys. Rev. C 72 R051601
[16] Chowdhury P Roy, Samanta C, Basu D N 2006 Phys. Rev. C 73 014612
[17] Basu D N 2003 Phys. Lett. B 566 90
[18] Xu C, Ren Z Z 2005 Nucl. Phys. A 753 174
[19] Vries De H, De Jager C W, Vries De C 1987 At. Data Nucl. Data Tables 36 495
[20] Srivastava D K, Ganguly N K, Hodgson P E 1974 Phys. Lett. B 51 439
[21] Srivastava D K, Ganguly N K 1983 Phys. Lett. B 124 6
[22] Bertsch G, Borysowicz J, Mcmanus H, Love W G 1977 Nucl. Phys. A 284 399
[23] Qu W W, Zhang G L, Le X Y, to be published Nucl. Phys. A
[24] Roy Pratap, Saxena A, Nayak B K 2010 Proceedings of the DAE Symp. on Nucl. Phys. 55 240
[25] Vaz Louis C, Alexander John M 1984 Z. Phys. A: Atoms and Nuclei 318 231
[26] Royer G 1986 J. Phys. G: Nucl. Phys. 12 623
[27] Krappe H J, Nix J R, Sierk A J 1979 Phys. Rev. C 20 992
[28] Blocki J, Randrup J, Swiatecki W J 1977 Ann. Phys. 105 427 Randruo J 1978 Nucl. Phys. A 307 319
[29] Akyüz, Winther A 1979 Proceedings of the Enrico Fermi International School of Physics 492
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[1] Leigh J R, Dasgupta M, Hinde D J, Mein J C, Morton C R, Lemmon R C, Lestone J P, Newton J O, Timmers H, Wei J X 1995 Phys. Rev. C 52 3151
[2] Liu Z H, Bao D J 2004 Chin. Phys. Lett. 21 1491
[3] Liu Z H, Zhou H Y 2007 Chin. Phys. 16 2338
[4] Signorini C 2004 Nucl. Phys. A 735 329
[5] Kolata J J 1998 Phys. Rev. C 57 R6
[6] Graeger R 2010 Phys. Rev. C 81 R061601
[7] Crema E, Gomes P R S, Chamon L C 2007 Nucl. Phys. A 787 225
[8] Jia F, Xu H S, Zheng C, Fan R R, Zhang X Y, Li J Q, Scheid W 2007 Acta Phys. Sin. 56 2047 (in Chinese) [
[9] Dutt Ishwar, Puri Rajeev K 2010 Phys. Rev. C 81 064608
[10] Dutt Ishwar, Puri Rajeev K 2010 Phys. Rev. C 81 064609
[11] Zhang G L, Liu H, Le X Y 2009 Chin. Phys. B 18 0136
[12] Zhang G L, Le X Y 2008 Chin. Phys. C 32 312
[13] Chen X, Lui Y W, Clark H L, Tokimoto Y, Youngblood D H 2007 Phys. Rev. C 76 054606
[14] Gupta D, Basu D N 2005 Nucl. Phys. A 748 402
[15] Basu D N, Chowdhury P Roy, Samanta C 2005 Phys. Rev. C 72 R051601
[16] Chowdhury P Roy, Samanta C, Basu D N 2006 Phys. Rev. C 73 014612
[17] Basu D N 2003 Phys. Lett. B 566 90
[18] Xu C, Ren Z Z 2005 Nucl. Phys. A 753 174
[19] Vries De H, De Jager C W, Vries De C 1987 At. Data Nucl. Data Tables 36 495
[20] Srivastava D K, Ganguly N K, Hodgson P E 1974 Phys. Lett. B 51 439
[21] Srivastava D K, Ganguly N K 1983 Phys. Lett. B 124 6
[22] Bertsch G, Borysowicz J, Mcmanus H, Love W G 1977 Nucl. Phys. A 284 399
[23] Qu W W, Zhang G L, Le X Y, to be published Nucl. Phys. A
[24] Roy Pratap, Saxena A, Nayak B K 2010 Proceedings of the DAE Symp. on Nucl. Phys. 55 240
[25] Vaz Louis C, Alexander John M 1984 Z. Phys. A: Atoms and Nuclei 318 231
[26] Royer G 1986 J. Phys. G: Nucl. Phys. 12 623
[27] Krappe H J, Nix J R, Sierk A J 1979 Phys. Rev. C 20 992
[28] Blocki J, Randrup J, Swiatecki W J 1977 Ann. Phys. 105 427 Randruo J 1978 Nucl. Phys. A 307 319
[29] Akyüz, Winther A 1979 Proceedings of the Enrico Fermi International School of Physics 492
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