Abstract.
\(\sigma_{\rm R}\), \(\sigma_{-n}\) and \(\sigma_{-2n}\) have been calculated via the BUU model with soft EOS and 0.8 times of \(\sigma_{\rm Cug}\). The density distribution without any adjustable parameters which comes from the RMF model has been introduced into the BUU calculation to replace the normally used one-parameter square-type distribution. The calculated results can reproduce the experimental data well for both halo- and stable-nuclei-induced reactions. Here \(\sigma_{-n}\) or \(\sigma_{-2n}\) is calculated as the difference between \(\sigma_{\rm R}\) of halo nucleus and core nucleus, by assuming \(\sigma_{\rm corr}\simeq 0\). It indicates that this assumption works very well at high energy in the BUU calculation. More experimental measurements are necessary to test the validity of this assumption at intermediate energy.
Similar content being viewed by others
References
I. Tanihata, H. Hamagaki, O. Hashimoto, Y. Shida, N. Yoshikawa, K. Sugimoto, O. Yamakawa, T. Kobayashi, N. Takahashi, Phys. Rev. Lett. 55, 2676 (1985).
I. Tanihata et al. , Phys. Lett. B 232, 51 (1989).
T. Kobayashi, O. Yamakawa, K. Omata, K. Sugimoto, T. Shimoda, N. Takahashi, I. Tanihata, Phys. Rev. Lett. 60, 2599 (1988).
P.G. Hansen, B. Jonson, Europhys. Lett. 4, 409 (1989)
W. Mittig, J.M. Chouvel, Z.W. Long, L. Bianchi, A. Cunsolo, B. Fernandez, A. Foti, J. Gastebois, A. Gillibert, C. Gregoire et al. , Phys. Rev. Lett. 59, 1889 (1987).
L. Chulkov, E. Roeckl, G. Kraus, Z. Phys. A 353, 351 (1996).
M.G. Saint-Laurent, R. Anne, D. Bazin, D. Guillemaud-Mueller, U. Jahnke, Jin Gen-Ming, A.C. Mueller, J.F. Bruandet, F. Glasser, S. Kox et al. , Z. Phys. A 322, 457 (1989).
A.C.C. Villari, W. Mittig, E. Plagnol, Y. Schutz, M. Lewitowicz, L. Bianchi, B. Fernandez, J. Gastebois, A. Gillibert, C. Stephan et al. , Phys. Lett. B 268, 345 (1991).
R.E. Warner, J.H. Kelley, P. Zecher, F.D. Becchetti, J.A. Brown, C.L. Carpenter, A. Galonsky, J. Kruse, A. Muthukrishnan, A. Nadasen et al. , Phys. Rev. C 52, R1166 (1995).
B. Blank, C. Marchand, M.S. Pravikoff, T. Baumann, F. Boue, H. Geissel, M. Hellstrom, N. Iwasa, W. Schwab, K. Summerer et al. , Nucl. Phys. A 624, 242 (1997).
B.A. Brown, Phys. Rev. C 43, R1513 (1991).
R.K. Gupta, S. Kumar, W. Scheid, J. Phys. G 21, 27 (1995).
M. Fallot, J.A. Scarpaci, D. Lacroix, Ph. Chomaz, J. Margueron, Nucl. Phys. A 700, 70 (2002).
I.J. Thompson, Nucl. Phys. A 690, 294c (2001).
R. Anne et al. , Phys. Lett. B 304, 55 (1993).
D. Bazin et al. , Phys. Rev. Lett. 74, 3569 (1995).
N.A. Orr et al. , Phys. Rev.C 51, 3116 (1995).
A. Navin et al. , Phys. Rev. Lett. 85, 266 (2000).
M.V. Zhukov, A.A. Korsheninnikov, M.H. Smedberg, Phys. Rev. C 50, R1 (1994).
X.Z. Cai, H.Y. Zhang, W.Q. Shen, Z.Z. Ren, J. Feng, D.Q. Fang, Z.Y. Zhu, W.Z. Jiang, Y.G. Ma, C. Zhong et al. , Phys. Rev. C 65, 024610 (2002).
R.J. Glauber, Lectures on Theoretical Physics, Vol. I (Interscience, New York, 1959).
J.S. Al-Khalili, J.A. Tostevin, Phys. Rev. Lett. 76, 3903 (1996).
Y. Ogawa, K. Yabana, Y. Suzuki, Nucl. Phys. A 543, 722 (1992).
Y. Ogawa, Y. Suzuki, K. Yabana, Nucl. Phys. A 571, 784 (1994).
G.F. Bertsch, S. Das Gupta, Phys. Rep. 160, 189 (1988).
C. Gregoire, B. Remaud, F. Sebille, L. Vinet, Y. Raffray, Nucl. Phys. A 465, 317 (1987).
Y.G. Ma, W.Q. Shen, J. Feng, Y.Q. Ma, Phys. Rev. C 48, 850 (1993).
G.D. Westfall, W. Bauer, D. Craig, M. Cronqvist, E. Gaultieri, S. Hannuschke, D. Klakow, T. Li, T. Reposeur, A.M. Vander Molen et al. , Phys. Rev. Lett. 71, 1986 (1993).
D. Klakow, G. Welke, W. Bauer, Phys. Rev. C 48, 1982 (1993).
G.F. Bertsch, G.E. Brown, V. Koch, Bao-An Li, Nucl. Phys. A 490, 745 (1988).
B.A. Li, Phys. Rev. C 48, 2415 (1993).
S.K. Charagi, S.K. Gupta, Phys. Rev. C 41, 1610 (1990).
Z. Ren, W. Mittig, B. Chen, Z. Ma, Phys. Rev. C 52, R20 (1995).
C.J. Horowitz, B.D. Serot, Nucl. Phys. A 368, 503 (1981).
S.K. Patra, Nucl. Phys. A 559, 173 (1993).
M.M. Sharma, M.A. Nagarajan, P. Ring, Phys. Lett. B 312, 377 (1993).
M.M. Sharma, G.A. Lalazissis, W. Hillebrandt, P. Ring, Phys. Rev. Lett. 72, 1431 (1994).
P.G. Reinhard, Rep. Prog. Phys. 52, 439 (1989).
Z. Ma, H. Shi, B. Chen, Phys. Rev. C 50, 3170 (1994).
P.G. Reinhard, M. Rufa, J. Maruhn, W. Greiner, J. Friedrich, Z. Phys. A 323, 13 (1986).
E. Garrido, D.V. Fedorov, A.S. Jensen, Phys. Lett. B 480, 32 (2000).
G. Bertsch, H. Esbensen, A. Sustich, Phys. Rev. C 42, 758 (1990).
Y. Suzuki, Y. Tosaka , Nucl. Phys. A 517, 599 (1990).
A. Cobis, D.V. Fedorov, A.S. Jensen, Phys. Rev. C 58, 1403 (1998).
L. Johannsen, A.S. Jensen, P.G. Hansen, Phys. Lett. B 244, 357 (1990).
E. Sauvan, F. Carstoiu, N.A. Orr, J.C. Angelique, W.N. Catford, N.M. Clarke, M. Mac Cormick, N. Curtis, M. Freer et al. , Phys. Lett. B 491, 1 (2000).
D. Bazin, W. Benenson, B.A. Brown, J. Brown, B. Davids, M. Fauerbach, P.G. Hansen, P. Mantica, D.J. Morrissey et al. , Phys. Rev. C 57, 2156 (1998).
V. Guimarães, J.J. Kolata, D. Bazin, B. Blank, B.A. Brown, T. Glasmacher, P.G. Hansen, R.W. Ibbotson, D. Karnes, V. Maddalena et al. , Phys. Rev. C 61, 064609 (2000).
A. Ozawa, T. Suzuki, I. Tanihata, Nucl. Phys. A 693, 32 (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by A. Molinari
Received: 12 June 2003, Revised: 29 September 2003, Published online: 27 April 2004
PACS:
24.10.-i Nuclear reaction models and methods - 25.60.Dz Interaction and reaction cross-sections - 25.60.Gc Breakup and momentum distributions - 27.20. + n \(6 \leq A \leq 19\)
Rights and permissions
About this article
Cite this article
Cai, X.Z., Zhong, C., Shen, W.Q. et al. Boltzmann-Uehling-Uhlenbech calculation of total reaction cross-section and fragmentation cross-section. Eur. Phys. J. A 20, 263–267 (2004). https://doi.org/10.1140/epja/i2003-10153-8
Issue Date:
DOI: https://doi.org/10.1140/epja/i2003-10153-8