Abstract
The dynamic coupling effects on fusion cross sections for reactions 32S + 94,96Zr and 40Ca + 94,96Zr are studied with the universal fusion function formalism and an empirical coupled channel (ECC) model. An examination of the reduced fusion functions shows that the total effect of couplings to inelastic excitations and neutron transfer channels on fusion in 32S + 94Zr (40Ca + 94Zr) is almost the same as that in 32S + 96Zr (40Ca + 96Zr). The enhancements of the fusion cross section at sub-barrier energies due to inelastic channel coupling and neutron transfer channel coupling are evaluated separately by using the ECC model. The results show that effect of couplings to inelastic excitations channels in the reactions with 94Zr as target should be similar as that in the reactions with 96Zr as target. This implies that the quadrupole deformation parameters β 2 of 94Zr and 96Zr should be similar to each other. However, β 2’s predicted from the finite-range droplet model, which are used in the ECC model, are quite different. Experiments on 48Ca + 94Zr or 36S + 94Zr are suggested to solve the puzzling issue concerning β 2 for 94Zr.
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References
A. B. Balantekin, and N. Takigawa, Rev. Mod. Phys. 70, 77 (1998).
M. Dasgupta, D. J. Hinde, N. Rowley, and A. M. Stefanini, Annu. Rev. Nucl. Part. Sci. 48, 401 (1998).
M. S. Hussein, L. F. Canto, P. R. S. Gomes, and R. Donangelo, Phys. Rep. 424, 1 (2006).
B. B. Back, H. Esbensen, C. L. Jiang, and K. E. Rehm, Rev. Mod. Phys. 86, 317 (2014).
U. G. Meißner, Sci. Bull. 60, 43 (2014).
L. F. Canto, P. R. S. Gomes, R. Donangelo, J. Lubian, and M. S. Hussein, Phys. Rep. 596: 1 (2015).
C. B. Fu, J. Bao, L. M. Chen, J. J. He, L. Hou, L. Li, Y. F. Li, Y. T. Li, G. Q. Liao, Y. Rhee, Y. Sun, S. W. Xu, D. W. Yuan, X. P. Zhang, G. Zhao, J. R. Zhao, B. J. Zhu, J. Q. Zhu, and J. Zhang, Sci. Bull. 60, 1211 (2015).
G. G. Adamian, N. V. Antonenko, and W. Scheid, Nucl. Phys. A 618, 176 (1997).
G. G. Adamian, N. V. Antonenko, W. Scheid, and V. V. Volkov, Nucl. Phys. A 633, 409 (1998).
G. G. Adamian, N. V. Antonenko, and Y. M. Tchuvil’sky, Phys. Lett. B 451, 289 (1999).
G. N. Knyazheva, E. M. Kozulin, R. N. Sagaidak, A. Y. Chizhov, M. G. Itkis, N. A. Kondratiev, V. M. Voskressensky, A. M. Stefanini, B. R. Behera, L. Corradi, E. Fioretto, A. Gadea, A. Latina, S. Szilner, M. Trotta, S. Beghini, G. Montagnoli, F. Scarlassara, F. Haas, N. Rowley, P. R. S. Gomes, and A. S. de Toledo, Phys. Rev. C 75, 064602 (2007).
N. Wang, E. G. Zhao, W. Scheid, and S. G. Zhou, Phys. Rev. C 85, 041601(R) (2012).
N. Wang, E. Zhao, and S. G. Zhou, J. Phys.-Conf. Ser. 515, 012022 (2014).
J. Zhang, C. Wang, and Z. Ren, Nucl. Phys. A 909, 36 (2013).
J. J. Shen, and C. W. Shen, Sci. China-Phys. Mech. Astron. 57, 453 (2014).
X. H. Fan, J. M. Dong, and W. Zuo, Sci. China-Phys. Mech. Astron. 58, 062002 (2015).
Q. H. Mo, M. Liu, L. C. Cheng, and N. Wang, Sci. China-Phys. Mech. Astron. 58, 082001 (2015).
C. L. Jiang, H. Esbensen, K. E. Rehm, B. B. Back, R. V. Janssens, J. A. Caggiano, P. Collon, J. Greene, A. M. Heinz, D. J. Henderson, I. Nishinaka, T. O. Pennington, and D. Seweryniak, Phys. Rev. Lett. 89, 052701 (2002).
S. Misicu, H. Esbensen. Phys. Rev. Lett. 96, 112701 (2006).
M. Dasgupta, D. J. Hinde, A. Diaz-Torres, B. Bouriquet, C. I. Low, G. J. Milburn, and J. O. Newton, Phys. Rev. Lett. 99, 192701 (2007).
A. Diaz-Torres, D. Hinde, M. Dasgupta, G. J. Milburn, and J. A. Tostevin, Phys. Rev. C 78, 064604 (2008).
T. Ichikawa, K. Hagino, and A. Iwamoto, Phys. Rev. Lett. 103, 202701 (2009).
V. Y. Denisov, Phys. Rev. C 89, 044604 (2014).
P. R. S. Gomes, R. Linares, J. Lubian, C. C. Lopes, E. N. Cardozo, B. H. F. Pereira, and I. Padron, Phys. Rev. C 84, 014615 (2011).
V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and H. Q. Zhang, Phys. Rev. C 86, 054610 (2012).
L. R. Gasques, D. J. Hinde, M. Dasgupta, A. Mukherjee, and R. G. Thomas, Phys. Rev. C 79, 034605 (2009).
M. Dasgupta, L. R. Gasques, D. H. Luong, R. du Rietz, R. Rafiei, D. J. Hinde, C. J. Lin, M. Evers, and A. Diaz-Torres, Nucl. Phys. A 834, 147c (2010).
M. Beckerman, M. Salomaa, A. Sperduto, H. Enge, J. Ball, A. DiRienzo, S. Gazes, Y. Chen, J. D. Molitoris, and N. Mao, Phys. Rev. Lett. 45, 1472 (1980).
R. A. Broglia, C. H. Dasso, S. Landowne, and A. Winther, Phys. Rev. C 27, 2433 (1983).
R. A. Broglia, C. H. Dasso, S. Landowne, and G. Pollarolo, Phys. Lett. B 133, 34 (1983).
P. H. Stelson, H. J. Kim, M. Beckerman, D. Shapira, and R. L. Robinson, Phys. Rev. C 41, 1584 (1990).
C. H. Dasso, S. Landowne, and A. Winther, Nucl. Phys. A 405, 381 (1983).
C. H. Dasso, S. Landowne, and A. Winther, Nucl. Phys. A 407, 221 (1983).
G. L. Zhang, X. X. Liu, and C. J. Lin, Phys. Rev. C 89, 054602 (2014).
B. Wang, W. J. Zhao, P. R. S. Gomes, E. G. Zhao, and S. G. Zhou, Phys. Rev. C 90, 034612 (2014).
R. Pengo, D. Evers, K. E. G. Löbner, U. Quade, K. Rudolph, S. J. Skorka, and I. Weidl, Nucl. Phys. A 411, 255 (1983).
H. A. Aljuwair, R. J. Ledoux, M. Beckerman, S. B. Gazes, J. Wiggins, E. R. Cosman, R. R. Betts, S. Saini, and O. Hansen, Phys. Rev. C 30, 1223 (1984).
H. Timmers, D. Ackermann, S. Beghini, L. Corradi, J. H. He, and G. Montagnoli, Nucl. Phys. A 633, 421 (1998).
M. Trotta, S. Szilner, F. Scarlassara, N. Rowley, G. Montagnoli, A. Gadea, E. Fioretto, L. Corradi, S. Beghini, B. R. Behera, and A. M. Stefanini, Phys. Rev. C 76, 014610 (2007).
H. Q. Zhang, C. J. Lin, F. Yang, H. M. Jia, X. Xu, and Z. D. Wu, Phys. Rev. C 82, 054609 (2010).
H. M. Jia, C. J. Lin, F. Yang, X. X. Xu, H. Q. Zhang, Z. H. Liu, Z. D. Wu, L. Yang, N. R. Ma, P. F. Bao, and L. J. Sun, Phys. Rev. C 89, 064605 (2014).
P. Jacobs, Z. Fraenkel, G. Mamane, and I. Tserruya, Phys. Lett. B 175, 271 (1986).
H. M. Jia, C. J. Lin, F. Yang, X. X. Xu, H. Q. Zhang, Z. H. Liu, L. Yang, S. T. Zhang, P. F. Bao, and L. J. Sun, Phys. Rev. C 86, 044621 (2012).
V. I. Zagrebaev, Phys. Rev. C 67, 061601(R) (2003).
V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and H. Q. Zhang, Phys. Rev. C 86, 014602 (2012).
V. V. Sargsyan, G. Scamps, G. G. Adamian, N. V. Antonenko, and D. Lacroix, Phys. Rev. C 88, 064601 (2013).
V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and A. H. Q. Zhang, Phys. Rev. C 91, 014613 (2015).
K. Hagino, N. Rowley, and A. T. Kruppa, Comput. Phys. Commun. 123, 143 (1999).
N. Wang, Z. Li, and X. Wu, Phys. Rev. C 65, 064608 (2002).
N. Wang, K. Zhao, and Z. Li, Phys. Rev. C 90, 054610 (2014).
N. Wang, Z. Li, X. Wu, J. Tian, Y. Zhang, and M. Liu, Phys. Rev. C 69, 034608 (2004).
K. Wen, F. Sakata, Z. X. Li, X. Z. Wu, Y. X. Zhang, and S. G. Zhou, Phys. Rev. Lett. 111, 012501 (2013).
K. Wen, F. Sakata, Z. X. Li, X. Z. Wu, Y. X. Zhang, and S. G. Zhou, Phys. Rev. C 90, 054613 (2014).
N. Wang, K. Zhao, and Z. X. Li, Sci. China-Phys. Mech. Astron. 58, 112001 (2015).
A. S. Umar, and V. E. Oberacker, Phys. Rev. C 74, 021601(R) (2006).
A. S. Umar, V. E. Oberacker, J. A. Maruhn, and P.-G. Reinhard, Phys. Rev. C 85, 017602 (2012).
R. Keser, A. S. Umar, and V. E. Oberacker, Phys. Rev. C 85, 044606 (2012).
L. Guo, J. A. Maruhn, and P. G. Reinhard, Phys. Rev. C, 76, 014601 (2007).
L. Guo, J. A. Maruhn, P. G. Reinhard, and Y. Hashimoto, Phys. Rev. C 77, 041301(R) (2008).
G. F. Dai, L. Guo, E. G. Zhao, and S. G. Zhou, Sci. China-Phys. Mech. Astron. 57, 1618 (2014).
G. F. Dai, L. Guo, E. G. Zhao, and S. G. Zhou, Phys. Rev. C 90, 044609 (2014).
B. Wang, K. Wen, W. J. Zhao, E. G. Zhao, and S. G. Zhou, arXiv:1504.00756.
B. Wang, W. J. Zhao, A. Diaz-Torres, E. G. Zhao, and S. G. Zhou, Phys. Rev. C 93, 014615 (2016).
D. L. Hill, and J. A. Wheeler, Phys. Rev. 89, 1102 (1953).
L. L. Li, S. G. Zhou, E. G. Zhao, and W. Scheid, Int. J. Mod. Phys. E 19, 359 (2010).
P. Möller, J. R. Nix, W. D. Myers, and W. J. Swiatecki, At. Data Nucl. Data Tables 59, 185 (1995).
L. F. Cantol, P. R. S. Gomes, J. Lubian, L. C. Chamon, and E. Crema, J. Phys. G-Nucl. Part. Phys. 36, 015109 (2009).
L. F. Canto, P. R. S. Gomes, J. Lubian, L. C. Chamon, and E. Crema, Nucl. Phys. A 821, 51 (2009).
A. M. Stefanini, F. Scarlassara, S. Beghini, G. Montagnoli, R. Silvestri, M. Trotta, B. R. Behera, L. Corradi, E. Fioretto, A. Gadea, Y. W. Wu, S. Szilner, H. Q. Zhang, Z. H. Liu, M. Ruan, F. Yang, and N. Rowley, Phys. Rev. C 73, 034606 (2006).
M. A. C. Ribeiro, L. C. Chamon, D. Pereira, M. S. Hussein, and D. Galetti, Phys. Rev. Lett. 78, 3270 (1997).
L. C. Chamon, D. Pereira, M. S. Hussein, M. A. C. Ribeiro, and D. Galetti, Phys. Rev. Lett. 79, 5218 (1997).
L. C. Chamon, B. V. Carlson, L. R. Gasques, D. Pereira, C. De Conti, and M. S. G. Alvares, Phys. Rev. C 66, 014610 (2002).
C. Y. Wong, Phys. Rev. Lett. 31, 766 (1973).
S. Raman, C. W. Nestor, and P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).
M. Bhuyan, Phys. Rev. C 92, 034323 (2015).
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Wang, B., Zhao, W., Zhao, E. et al. Theoretical study of fusion reactions 32S + 94,96Zr and 40Ca + 94,96Zr and quadrupole deformation of 94Zr. Sci. China Phys. Mech. Astron. 59, 642002 (2016). https://doi.org/10.1007/s11433-016-5781-0
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DOI: https://doi.org/10.1007/s11433-016-5781-0