Abstract
In this work, we study the mechanism of the nuclear reaction of \(^{11}\)B ion with \(^{181}\)Ta and \(^{209}\)Bi targets at intermediate energies and analyze the nuclear reaction processes starting from the initial nucleus–nucleus collision up to the fragments production. The experimental data are derived from the literature Karapetyan et al. (Phys Rev C 94: 024618, 2016). A new branch of CRISP model has been extended in the framework of the rotating liquid drop model to describe heavy-ion-induced reactions. Experimental mass-yield distribution is compared with the results of the Monte Carlo simulation code CRISP using the theoretical model calculations. The experimental data of spallation products are also described by the CRISP model. The fission cross sections, fissility and fragment mass distributions are calculated and compared with experimental data. We conclude that CRISP model provides a good description for the cases analyzed in this study and gives us confidence that it might be applied to other cases as well.
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G.S. Karapetyan, A. Deppman, V. Guimarães, A. Balabekyan, N.A. Demekhina, Phys. Rev. C 94, 024618 (2016)
R. Vandenbosch, J.R. Huizenga, Nuclear Fission (Academic Press, New York, 1973)
D. Hilscher, I.I. Gontchar, H. Rossner, Phys. At. Nucl. 57, 1187–1199 (1994)
Wikipedia contributors, Nuclear fission. (Wikipedia, The Free Encyclopedia, 2020), https://en.wikipedia.org/w/index.php?title=Nuclear_fission&oldid=974960614. Accessed 6 September 2020
A. Deppman, S.B. Duarte, G. Silva, O.A.P. Tavares, S. Anefalos, J.D.T. Arruda-Neto, T.E. Rodrigues, J. Phys. G: Nucl. Part. Phys. 30, 1991–2002 (2004)
D. Mancusi, A. Boudard, J. Cugnon, J.-C. David, P. Kaitaniemi, S. Leray, Phys. Rev. C 90, 054602 (2014)
A. Boudard, J. Cugnon, J.-C. David, S. Leray, D. Mancusi, Phys. Rev. C 87, 014606 (2013)
L. Audirac, A. Obertelli, P. Doornenbal, D. Mancusi, S. Takeuchi, N. Aoi, H. Baba, S. Boissinot, A. Boudard, A. Corsi, A. Gillibert, T. Isobe, A. Jungclaus, V. Lapoux, J. Lee, S. Leray, K. Matsui, M. Matsushita, T. Motobayashi, D. Nishimura, S. Ota, E.C. Pollacco, G. Potel, H. Sakurai, C. Santamaria, Y. Shiga, D. Sohler, D. Steppenbeck, R. Taniuchi, H. Wang, Phys. Rev. C 88, 041602 (2013)
S. Leray, D. Mancusi, P. Kaitaniemi, J.C. David, A. Boudard, B. Braunn, J. Cugnon, J. Phys: Conf. Ser. 420, 012065 (2013)
A. Boudard, J. Cugnon, S. Leray, C. Volant, Phys. Rev. C 66, 044615 (2002)
K. Mahata, S. Kailas, S.S. Kapoor, Phys. Rev. C 92, 034602 (2015)
T. Kodama, S.B. Duarte, K.C. Chung, R.A.M.S. Nazareth, Phys. Rev. Lett. 49, 536–539 (1982)
M. Goncalves, S. de Pina, D.A. Lima, W. Milomen, E.L. Medeiros, S.B. Duarte, Phys. Lett. B 406, 1–6 (1997)
A. Deppman, O.A.P. Tavares, S.B. Duarte, E.C. de Oliveira, J.D.T. Arruda-Neto, S.R. de Pina, V.P. Likhachev, O. Rodriguez, J. Mesa, M. Goncalves, Comput. Phys. Commun. 145, 385–394 (2002)
I. Gonzalez, C. Barbero, A. Deppman, S.B. Duarte, F. Krmpotic, O. Rodriguez, J. Phys. G: Nucl. Part. Phys. 38, 115105 (2011)
A. Deppman, O.A.P. Tavares, S.B. Duarte, J.D.T. Arruda-Neto, M. Goncalves, V.P. Likhachev, J. Mesa, E.C. de Oliveira, S.R. de Pina, O. Rodriguez, Nucl. Instrum. Meth. B 211, 15–21 (2003)
E. Andrade-II, E. Freitas, O.A.P. Tavares, S.B. and Duarte, A. Deppman, F. Garcia, V. Guimaraes, J.R.B. Oliveira, K.C.D. Macario, F.A. Genezini, AIP Conference Proceedings 1139, (2009) 64–69
E. Andrade-II, J.C.M. Menezes, S.B. Duarte, F. Garcia, P.C.R. Rossi, O.A.P. Tavares, A. Deppman, J. Phys. G. Nucl. Partic. 38, 085104 (2011)
A. Deppman, O.A.P. Tavares, S.B. Duarte, E.C. de Oliveira, J.D.T. Arruda-Neto, S.R. de Pina, V.P. Likhachev, O. Rodriguez, J. Mesa, M. Gonçalves, Phys. Rev. Lett. 87, 182701 (2001)
A. Deppman, G. Silva, S. Anefalos, S.B. Duarte, F. García, F.H. Hisamoto, O.A.P. Tavares, Phys. Rev. C 73, 064607 (2006)
A. Deppman, O.A.P. Tavares, S.B. Duarte, J.D.T. Arruda-Neto, M. Gonçalves, V.P. Likhachev, E.C. de Oliveira, Phys. Rev. C 66, 067601 (2002)
E. Andrade-II, J.C.M. Menezes, S.B. Duarte, F. Garcia, P.C.R. Rossi, O.A.P. Tavares, A. Deppman, EPJ Web of Conf. 21, 10001 (2012)
A. Deppman, E. Andrade-II, V. Guimarães, G.S. Karapetyan, A.R. Balabekyan, N.A. Demekhina, Phys. Rev. C 88, 024608 (2013)
A. Deppman, E. Andrade-II, V. Guimarães, G.S. Karapetyan, O.A.P. Tavares, A.R. Balabekyan, N.A. Demekhina, J. Adam, F. Garcia, K. Katovsky, Phys. Rev. C 88, 064609 (2013)
E. Andrade-II, G.S. Karapetyan, A. Deppman, A.R. Balabekyan, N.A. Demekhina, V. Guimarães, EPJ Web of Conf. 69, 00017 (2014)
A. Deppman, G.S. Karapetyan, V. Guimarães, C. Gonzales, A.R. Balabekyan, N.A. Demekhina, Phys. Rev. C 91, 024620 (2015)
E. Andrade-II, G.S. Karapetyan, A. Deppman, J.L. Bernal-Castillo, V. Guimarães, A.R. Balabekyan, J. Adam, F. Garcia, F. Guzmán, J. Phys. G Nucl. Partic. 45, 015105 (2017)
A. Deppman, E. Andrade-II, V. Guimarães, G.S. Karapetyan, N.A. Demekhina, Phys. Rev. C 87, 054604 (2013)
A. Deppman, E. Andrade-II, P.C.R. Rossi, F. Garcia, J.R. Maiorino, Sci. Technol. Nucl. Ins. 73, 480343 (2012)
S. Anefalos, A. Deppman, G. da Silva, J.R. Maiorino, A. dos Santos, F. Garcia, Nucl. Sci. Eng. 151, 82–87 (2005)
S. Anefalos, A. Deppman, J.D.T. Arruda-Neto, V.P. Likhachev, A. dos Santos, P.R.P. Coelho, S.B. Duarte, O.A.P. Tavares, Braz. J. Phys. 34, 966–968 (2004)
S. Anefalos, A. Deppman, G. Silva, J.R. Maiorino, A. dos Santos, S.B. Duarte, O.A.P. Tavares, F. Garcia, Braz. J. Phys. 35, 912–914 (2005)
S. Anefalos, A. Deppman, J.D.T. Arruda-Neto, G. da Silva, J.R. Maiorino, A. dos Santos, F. Garcia, R.C. Haight, M.B. Chadwick, T. Kawano, P. Talou, AIP Conf. Proc. 769, 1299–1302 (2005)
S. Anefalos Pereira, A. Deppman, G. Silva, J.R. Maiorino, A. dos Santos, S.B. Duarte, O.A.P. Tavares, F. Garcia, Nucl. Sci. Eng. 159, 102–105 (2008)
V. Weisskopf, Phys. Rev. 52, 295–303 (1937)
N. Bohr, J.A. Wheeler, Phys. Rev. 56, 426–450 (1939)
J.M. Pearson, Hyperfine Interact. 132, 59–74 (2001)
I. Dostrovsky, P. Rabinowitz, R. Bivins, Phys. Rev. 111, 1659–1676 (1958)
O.A.P Tavares, M.L. Terranova, Z. Physik A - Hadrons and Nuclei 343, (1992) 407–416
U. Brosa, S. Grossmann, A. Muller, Phys. Rep. 197, 167–262 (1990)
V.V. Pashkevich, Nucl. Phys. A 169, 275–293 (1971)
B.D. Wilkins, E.P. Steinberg, R.R. Chasman, Phys. Rev. C 14, 1832–1863 (1976)
W. Younes, J.A. Becker, L.A. Bernstein, P.E. Garrett, C.A. McGrath, D.P. McNabb, R.O. Nelson, G.D. Johns, W.S. Wilburn, D.M. Drake, AIP Conf. Proc. 610, 673 (2002)
N.A. Demekhina, G.S. Karapetyan, Phys. At. Nucl. 71, 27–35 (2008)
G.S. Karapetyan, A.R. Balabekyan, N.A. Demekhina, J. Adam, Phys. At. Nucl. 72, 911–916 (2009)
H. Kudo, M. Maruyama, M. Tanikawa, T. Shinozuka, M. Fujioka, Phys. Rev. C 57, 178–188 (1998)
M.C. Duijvestijn, A.J. Koning, J.P.M. Beijers, A. Ferrari, M. Gastal, J. van Klinken, R.W. Ostendorf, Phys. Rev. C 59, 776–788 (1999)
G.L. Kotkin, V.G. Serbo, Collection of Problems in Classical Mechanics (International series of monographs in natural philosophy. Pergamon Press, New York, 1971)
P. Frobrich, I.I. Gontchar, Langevin Description of Fusion, Deep-inelastic Collisions and Heavy-ion-induced Fission, Physics Reports (North-Holland, Amsterdam, 1998)
J. Wilczynski, Nucl. Phys. A 216, 386–394 (1973)
O.A. Capurro, D.E. DiGregorio, S. Gil, D. Abriola, M. di Tada, J.O. Fernández Niello, A.O. Macchiavelli, G.V. Martí, A.J. Pacheco, J.E. Testoni, D. Tomasi, I. Urteaga, Phys. Rev. C 55, 766–774 (1997)
S. Cohen, W.J. Swiatecki, Ann. Phys. 19, 67–164 (1962)
S. Cohen, W.J. Swiatecki, Ann. Phys. 22, 406–437 (1963)
G.A. Pik-Pichak, Sov. Phys. JETP 7, 238–241 (1958)
G.A. Pik-Pichak, Sov. Phys. JETP 15, 897–902 (1962)
R. Beringer, W.J. Knox, Phys. Rev. 121, 1195–1200 (1961)
S. Cohen, F. Plasil, W.J. Swiatecki, Ann. Phys. 82, 557–596 (1974)
M.G. Mustafa, P.A. Baisden, H. Chandra, Phys. Rev. C 25, 2524–2533 (1982)
A.J. Sierk, Phys. Rev. C 33, 2039–2053 (1986)
M. Beckerman, M. Blann, Phys. Rev. Lett. 38, 272–275 (1977)
M. Beckerman, M. Blann, Phys. Rev. C 17, 1615–1631 (1978)
F. Plasil, R.L. Ferguson, R.L. Hahn, F.E. Obenshain, F. Pleasonton, G.R. Young, Phys. Rev. Lett. 45, 333–336 (1980)
D.J. Hinde, J.R. Leigh, J.O. Newton, W. Galster, S. Sie, Nucl. Phys. A 385, 109–132 (1982)
D.J. Hinde, J.O. Newton, J.R. Leigh, R.J. Charity, Nucl. Phys. A 398, 308–324 (1983)
C. Cabot1, H. Gauvin, Y. Le Beyec, H. Delagrange, J.P. Dufour, A. Fleury, Y. Llabador, J.M. Alexander, J. Phys. Colloques 41, (1980) C10-234–C10-238
J.R. Leigh, D.J. Hinde, J.O. Newton, W. Galster, S.H. Sie, Phys. Rev. Lett. 48, 527–530 (1982)
B. Sikora, W. Scobel, M. Beckerman, J. Bisplinghoff, M. Blann, Phys. Rev. C 25, 1446–1459 (1982)
G. Guillaume, J.P. Coffin, F. Rami, P. Engelstein, B. Heusch, P. Wagner, P. Fintz, J. Barrette, H.E. Wegner, Phys. Rev. C 26, 2458–2469 (1982)
H. Baba, A. Shinohara, T. Saito, N. Takahashi, A. Yokoyama, J. Phys. Soc. Jpn. 66, 998–1009 (1997)
H.J. Krappe, J.R. Nix, A.J. Sierk, Phys. Rev. C 20, 992–1013 (1979)
M. Blann, Phys. Rev. C 34, 2215–2216 (1986)
N. Carjan, M. Kaplan, Phys. Rev. C 45, 2185–2195 (1992)
J.R. Nix, Nucl. Phys. A 130, 241–292 (1969)
Y. Yariv, Z. Fraenkel, Phys. Rev. C 20, 2227–2243 (1979)
C. Chung, J.J. Hogan, Phys. Rev. C 24, 180–191 (1981)
C. Chung, J.J. Hogan, Phys. Rev. C 25, 899–908 (1982)
T. Fukahori, O. Iwamoto, S. Chiba, Proceedings of the Seventh International Conference on Nuclear Criticality Safety, ICNC2003, JAERI-conf, 2003-019-PT2, Japan 36, (2003) 603–608
A.R. Balabekyan, G.S. Karapetyan, E. Andrade-II, A. Deppman, S.V. Gaginyan, E. Melyan, J.R. Drnoyan, V.I. Zhemenik, J. Adam, L. Zavorka, A.A. Solnyshkin, V.M. Tsoupko-Sitnikov, J. Khushvaktov, E.B. Hernández, Phys. Rev. C 100, 024616 (2019)
Acknowledgements
Motahareh Abbasi and Hamed Panjeh acknowledge the support from the Brazilian federal agency CAPES. Ramon Perez acknowledges the support from CNPq under Grant 169813/2017-7. Airton Deppman is supported by the Project INCT-FNA Proc. No. 464898/2014-5 and by FAPESP Grant 2016/17612-7. Airton Deppman is also partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq (Brazil) under Grant 304244/2018-0.
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Abbasi, M., Panjeh, H., Perez, R. et al. Heavy-ion-induced fission of \(^{181}\)Ta and \(^{209}\)Bi at intermediate energies by CRISP model. Eur. Phys. J. Plus 135, 845 (2020). https://doi.org/10.1140/epjp/s13360-020-00828-4
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DOI: https://doi.org/10.1140/epjp/s13360-020-00828-4