Abstract
Motivated by the strong synergy between structure and nuclear reactions we have performed a phenomenological analysis using available elastic scattering data for collisions of tightly-bound (\(^{10}\hbox {Be}\), \(^{10}\hbox {B}\), \(^{10}\hbox {C}\), \(^{11}\hbox {B}\), \(^{12}\hbox {C}\), \(^{16}\hbox {O}\)), weakly-bound (\(^6\hbox {Li}\), \(^7\hbox {Li}\), \(^8\hbox {Li}\), \(^9\hbox {Be}\)), and exotic (\(^6\hbox {He}\), \(^{8}\hbox {B}\) and \(^{11}\hbox {Be}\)) nuclei on \(^{58}\hbox {Ni}\) and \(^{64}\hbox {Zn}\) targets at energies close to the Coulomb barrier. After a proper reduction, the cluster configuration and dynamics effects in the total reaction cross section are discussed. Also, an approach based on the interaction distances is used to investigate static and dynamic effects in the elastic scattering of light nuclei. A correlation between the critical interaction distance and binding energy for a given configuration is observed.
Similar content being viewed by others
References
N. Otuka, E. Dupont, V. Semkova, B. Pritychenko, A.I. Blokhin, M. Aikawa, S. Babykina, M. Bossant, G. Chen, S. Dunaeva, R.A. Forrest, T. Fukahori, N. Furutachi, S. Ganesan, Z. Ge, O.O. Gritzay, M. Herman, S. Hlavac, K. Kato, B. Lalremruata, Y.O. Lee, A. Makinaga, K. Matsumoto, M. Mikhaylyukova, G. Pikulina, V.G. Pronyaev, A. Saxena, O. Schwerer, S.P. Simakov, N. Soppera, R. Suzuki, S. Takacs, X. Tao, S. Taova, F. Tarkanyi, V.V. Varlamov, J. Wang, S.C. Yang, V. Zerkin, Y. Zhuang, Towards a more complete and accurate experimental nuclear reaction data library (EXFOR): international collaboration between nuclear reaction data centres (NRDC). Nucl. Data Sheets 120, 272 (2014)
A. Karpov, A. Denikin, M. Naumenko, A. Alekseev, V. Rachkov, V. Samarin, V. Saiko, V. Zagrebaev, NRV web knowledge base on low-energy nuclear physics. Nucl. Instrum. Methods Phys. Res. A 859, 112 (2017)
V.I. Zagrebaev, A.S. Denikin, A.V. Karpov, A.P. Alekseev, M.A. Naumenko, V.A. Rachkov, V.V. Samarin, V.V. Saiko, NRV webknowledge base on low-energy nuclear physics (1999), http://nrv.jinr.ru/
M.S. Hussein, The unitarity defect of the S-matrix and the underlying absorptive potential II. The case of energy-dependent optical potentials. Ann. Phys. 177, 58 (1987)
M.S. Hussein, The unitarity defect of the S-matrix and the underlying absorptive potential. Ann. Phys. 175, 197 (1987)
L.F. Canto, R. Donangelo, M.S. Hussein, A. Lepine-Szily, Multistep \(\alpha \)-particle-transfer description of anomalous heavy-ion elastic scattering. Phys. Rev. Lett. 51, 95 (1983)
M.S. Hussein, V.L.M. Franzin, R. Franzin, A.J. Baltz, Small effects in sub-barrier heavy-ion elastic scattering. Phys. Rev. C 30, 184 (1984)
M.P. Pato, M.S. Hussein, Refraction-diffraction interference in heavy-ion elastic angular distributions. Phys. Lett. B 207, 121 (1988)
M. Ueda, M.P. Pato, M.S. Hussein, Forward glory phenomenon in the dark-side of heavy-ion nuclear rainbow scattering. Phys. Rev. Lett. 81, 1809 (1998)
J.J. Kolata, V. Guimarães, E.F. Aguilera, Elastic scattering, fusion, and breakup of light exotic nuclei. Eur. Phys. J. A 53, 123 (2016)
L.F. Canto, V. Guimarães, J. Lubian, M.S. Hussein, The total reaction cross section of heavy-ion reactions induced by stable and unstable exotic beams: The low-energy regime. Eur. J. Phys. A 56, 281 (2020)
L.F. Canto, P.R.S. Gomes, R. Donangelo, J. Lubian, M.S. Hussein, Recent developments in fusion and direct reactions with weakly bound nuclei. Phys. Rep. 596, 1 (2015)
O.A. Rubtsova, V.I. Kukulin, A.M. Moro, Continuum discretization methods in a composite particle scattering off a nucleus: Benchmark calculations. Phys. Rev. C 78, 034603 (2008)
P. Capel, F.M. Nunes, Benchmarking models of breakup reactions. J. Phys. Conf. Ser. 312, 082015 (2011)
P. Descouvemont, M.S. Hussein, Towards a microscopic description of reactions involving exotic nuclei. Phys. Rev. Lett. 111, 082701 (2013)
C. Liang, K. Mislow, On Borromean links. J. Math. Chem. 16, 27 (1994)
N. Curtis, N.L. Achouri, N.I. Ashwood, H.G. Bohlen, W.N. Catford, N.M. Clarke, M. Freer, P.J. Haigh, B. Laurent, N.A. Orr, N.P. Patterson, N. Soic, J.S. Thomas, V. Ziman, Breakup reaction study of the Brunnian nucleus \(^{10}\)C. Phys. Rev. C 77, 021301(R) (2008)
I. Tanihata, H. Savajols, R. Kanungo, Recent experimental progress in nuclear halo structure studies. Prog. Part. Nucl. Phys. 68, 215 (2013)
V. Morcelle, K.C.C. Pires, M. Rodriguez-Gallardo, R. Lichtenthaler, A. Lepine-Szily, V. Guimaraes, P.N. de Faria, D.R. Mendes Jr., A.M. Moro, L.R. Gasques, E. Leistenschneider, R.P. Condori, V. Scarduelli, M.C. Morais, A. Barioni, J.C. Zamora, J.M.B. Shorto, Four-body effects in the \(^6\)He+\(^{58}\)Ni scattering. Phys. Lett. B 732, 228 (2014)
O.C.B. Santos, R. Lichtenthaler Fo, K.C.C. Pires, A. Moro, U. Umbelino, E.O.N. Zevallos, M. Assuncao, S. Appannababu, A.L. Lara, V. Scarduelli, V. Guimarães, A. Lepine-Szily, A. Serra, R. Linares, V. Zagatto, M.C. Morais, A. Barioni, J.M.B. Shorto, Spin-orbit effects in the \(^8\)Li+\(^{58}\)Ni elastic scattering. J. Phys. Conf. Ser. 1291, 012030 (2019)
E.F. Aguilera, E. Martinez-Quiroz, D. Lizcano, A. Gomez-Camacho, J.J. Kolata, L.O. Lamm, V. Guimarães, R. Lichtenthaler, O. Camargo, F.D. Becchetti, H. Jiang, P.A. DeYoung, P.J. Mears, T.L. Belyaeva, Reaction cross sections for \(^8\)B, \(^7\)Be, and \(^6\)Li+\(^{58}\)Ni near the Coulomb barrier: Proton-halo effects. Phys. Rev. C 79, 021601(R) (2009)
V. Scarduelli, E. Crema, V. Guimarães, D. Abriola, A. Arazi, E. de Barbara, O.A. Capurro, M.A. Cardona, J. Gallardo, D. Hojman, G.V. Marti, A.J. Pacheco, D. Rodrigues, Y.Y. Yang, N.N. Deshmukh, B. Paes, J. Lubian, D.R. Mendes Jr., V. Morcelle, D.S. Monteiro, Elastic and inelastic scattering for the \(^{10}\)B+\(^{58}\)Ni system at near-barrier energies. Phys. Rev. C 96, 054610 (2017)
N.N. Deshmukh, V. Guimarães, E. Crema, D. Abriola, A. Arazi, E. de Barbara, O.A. Capurro, M.A. Cardona, J. Gallardo, D. Hojman, G.V. Marti, A.J. Pacheco, D. Rodrigues, Y.Y. Yang, A.N. Deshmukh, D.R. Mendes, V. Morcelle, V. Scarduelli, D.S. Monteiro, Elastic and inelastic scattering for the \(^{11}\)B+\(^{58}\)Ni system: Target and projectile reorientation effects. Phys. Rev. C 92, 054615 (2015)
E.O.N. Zevallos, V. Guimarães, E.N. Cardozo, J. Lubian, R. Linares, R. Lichtenthaler Filho, K.C.C. Pires, O.C.B. Santos, S. Appannababu, E. Crema, J. Alcantara-Nunez, A.L. Lara, Y.S. Villamizar, U. Umbelino, N. Added, M. Assuncao, V. Morcelle, D.S. Monteiro, Elastic scattering of the \(^{12}\)B+\(^{58}\)Ni system at near-barrier energies. Phys. Rev. C 99, 064613 (2019)
E.O.N. Zevallos, V. Guimarães, E.N. Cardozo, J. Lubian, O.C.B. Santos, R. Linares, M. Assuncao, J. Alcantara-Nunez, A.L. de Lara, R. Lichtenthaler Filho, K.C.C. Pires, U.U. da Silva, S. Appannababu, N. Added, D.S. Monteiro, V. Morcelle, Elastic scattering and total reaction cross section for the \(^{12}\)B+\(^{58}\)Ni system. J. Phys. Conf. Ser. 1291, 012029 (2019)
V. Guimarães, E.N. Cardozo, V.B. Scarduelli, J. Lubian, J.J. Kolata, P.D. O’Malley, D.W. Bardayan, E.F. Aguilera, E. Martinez-Quiroz, D. Lizcano, A. Garcia-Flores, M. Febbraro, C.C. Lawrence, J. Riggins, R.O. Torres-Isea, P.N. de Faria, D.S. Monteiro, E.S. Rossi, N.N. Deshmukh, Strong coupling effect in the elastic scattering of the \(^{10}\)C+\(^{58}\)Ni system near barrier. Phys. Rev. C 100, 034603 (2019)
V. Guimarães, E.O.N. Zevallos, E.N. Cardozo, J. Lubian, O.C.B. Santos, R. Linares, M. Assuncao, J. Alcantara-Nunez, A.L. de Lara, R. Lichtenthaler, K.C.C. Pires, U.U. da Silva, S. Appannababu, Added, D.S. Monteiro, V. Morcelle, Cluster configuration effects in the elastic scattering of boron isotopes \(^8\)B, \(^{10}\)B, \(^{11}\)B and \(^{12}\)B on \(^{58}\)Ni. Recent Progress Few-Body Phys. 238, 195 (2020)
E.F. Aguilera, J.J. Kolata, L. Acosta, Evidence for core-halo decoupling in halo systems. Phys. Rev. C 81, 011604(R) (2010)
J.J. Kolata, E.F. Aguilera, V. Guimarães, Near and sub-barrier reactions of \(^8\)B. EPJ Web Conf. 163, 00031 (2017)
L.F. Canto, P.R.S. Gomes, J. Lubian, L.C. Chamon, E. Crema, Reduction of fusion and reaction cross sections at near-barrier energies. J. Phys. G: Nucl. Part. Phys. 36, 015109 (2009)
L.F. Canto, P.R.S. Gomes, J. Lubian, L.C. Chamon, E. Crema, Dynamic effects of breakup on fusion reactions of weakly bound nuclei. Nucl. Phys. A 821, 51 (2009)
L.F. Canto, D.R. Mendes Junior, P.R.S. Gomes, J. Lubian, Reduction of fusion and reaction cross sections at near-barrier energies. Phys. Rev. C 92, 014626 (2015)
J.M.B. Shorto, P.R.S. Gomes, J. Lubian, L.F. Canto, S. Mukherjee, L.C. Chamon, Reaction functions for weakly bound systems. Phys. Lett. B 678, 77 (2009)
K.O. Pfeiffer, E. Speth, K. Bethge, Break-up of \(^6\)Li and \(^7\)Li on Tin and Nickel Nuclei Nucl. Phys. A 206, 545 (1973)
P.R.S. Gomes et al., Effect of the breakup on the fusion and elastic scattering of weakly bound projectiles on \(^{64}\)Zn. Phys. Rev. C 71, 034608 (2005)
P. Amador-Valenzuela et al., Measurements of angular distributions for \(^7\)Li elastically scattered from \(^{58}\)Ni at energies around the Coulomb barrier. J. Phys. Conf. Ser. 876, 012002 (2017)
A. Di Pietro, G. Randisi, V. Scuderi, L. Acosta, F. Amorini, M.J.G. Borge, P. Figuera, M. Fisichella, L.M. Fraile, J. Gomez-Camacho, H. Jeppesen, M. Lattuada, I. Martel, M. Milin, A. Musumarra, M. Papa, M.G. Pellegriti, F. Perez-Bernal, R. Raabe, F. Rizzo, D. Santonocito, G. Scalia, O. Tengblad, D. Torresi, A.M. Vidal, D. Voulot, F. Wenander, M. Zadro, Elastic scattering and reaction mechanisms of the halo nucleus \(^{11}\)Be around the coulomb barrier. Phys. Rev. Lett. 105, 022701 (2010)
L.R. Gasques, L.C. Chamon, C.P. Silva, D. Pereira, M.A.G. Alvarez, E.S. Rossi Jr., V.P. Likhachev, B.V. Carlson, C. De Conti, Determination of the \(^{12}\)C nuclear density through heavy-ion elastic scattering experiments. Phys. Rev. C 65, 044314 (2002)
L. West Jr., K.W. Kemper, N.R. Fletcher, Elastic scattering of \(^{16}\)O by even mass nickel isotopes. Phys. Rev. C 11, 859 (1975)
I.J. Thompson, Coupled channels methods for nuclear physics. Comput. Phys. Rep. 7, 167 (1988)
O. Akyüz, A. Winther, in Nuclear Structure of Heavy Ion Reaction, edited by R. A. Broglia, C. H. Dasso, and R. A. Ricci (North Holland, 1981), Proc. E. Fermi Sum-mer School of Physics (1981)
L.F. Canto, R. Donangelo, M.S. Hussein, P. Lotti, J. Lubian, J. Rangel, Theoretical considerations about heavy-ion fusion in potential scattering. Phys. Rev. C 98, 044617 (2018)
A. Di Pietro, A.M. Moro, Jin Leib, R. de Diego, Insights into the dynamics of breakup of the halo nucleus \(^{11}\)Be on a \(^{64}\)Zn target. Phys. Lett. B 798, 134954 (2019)
A. Pakou, D. Pierroutsakou, M. Mazzocco, L. Acosta, X. Aslanoglou, A. Boiano, C. Boiano, D. Carbone, M. Cavallaro, J. Grebosz, N. Keeley, M. La Commara, C. Manea, G. Marquinez-Duran, I. Martel, C. Parascandolo, K. Rusek, A.M. Sanchez-Benitez, O. Sgouros, C. Signorini, F. Soramel, V. Soukeras, E. Stiliaris, E. Strano, D. Torresi, A. Trzcinska, Y.X. Watanabe, H. Yamaguchi, Total reaction cross sections for \(^8\)Li+\(^{90}\)Zr at near-barrier energies. Eur. Phys. J. A 51, 55 (2015)
E.F. Aguilera, P. Amador-Valenzuela, E. Martinez-Quiroz, D. Lizcano, P. Rosales, H. Garcia-Martinez, A. Gomez-Camacho, J.J. Kolata, A. Roberts, L.O. Lamm, G. Rogachev, V. Guimaraes, F.D. Becchetti, A. Villano, M. Ojaruega, M. Febbraro, Y. Chen, H. Jiang, P.A. DeYoung, G.F. Peaslee, C. Guess, U. Khadka, J. Brown, J.D. Hinnefeld, L. Acosta, E.S. Rossi Jr., J.F.P. Huiza, T.L. Belyaeva, Near-Barrier Fusion of the \(^8\)B+\(^{58}\)Ni Proton-Halo System. Phys. Rev. Lett. 107, 092701 (2011)
A. Pakou, L. Acosta, P.D. O’Malley, S. Aguilar, E.F. Aguilera, M. Baines, D. Bardayan, F.D. Becchetti, Ch. Boomershine, M. Brodeur, F. Cappuzzello, S. Carmichael, L. Caves, E. Chavez, C. Flores-Vazquez, A. Gula, J.J. Kolata, B. Liu, D.J. Marin-Lambarri, F.F. Morales, K. Rusek, A.M. Sanchez-Benitez, O. Sgouros, V.R. Sharma, V. Soukeras, G. Souliotis, Dominance of direct reaction channels at deep sub-barrier energies for weakly bound nuclei on heavy targets: The case \(^8\)B + \(^{208}\)Pb. Phys. Rev. C 101, 024602 (2020)
J.J. Kolata, Transfer, breakup, and fusion reactions of \(^6\)He with \(^{209}\)Bi near the Coulomb barrier. Eur. Phys. J. A 13, 117–121 (2002)
R. Linares, E. N. Cardozo, M. Sinha, V. Guimarães, et al., under review to Phys. Rev. C (2020)
B. Pritychenko, E. Betak, M.A. Kellett, S. Singh, J. Totans, The nuclear science references (NSR) database and web retrieval system. Nucl. Inst. Method Phys. Res. Sect. A 640, 213 (2011)
V. Guimarães, J. Lubian, J.J. Kolata, E.F. Aguilera, M. Assuncao, V. Morcelle, Phenomenological critical interaction distance from elastic scattering measurements on a \(^{208}\)Pb target. Eur. J. Phys. A 52, 223 (2018)
A. Pakou, K. Rusek, Interaction distances for weakly bound nuclei at near barrier energies. Phys. Rev. C 69, 057602 (2004)
A. Ornelas, P. Mohr, Gy Gyurky, Z. Elekes, Zs Fulop, Z. Halasz, G.G. Kiss, E. Somorjai, T. Szucs, M.P. Takacs, D. Galaviz, R.T. Guray, Z. Korkulu, N. Ozkan, C. Yalcin, \(\alpha \) scattering and \(\alpha \)-induced reaction cross sections of \(^{64}\)Zn at low energies. Phys. Rev. C 94, 055807 (2016)
A. Di Pietro, P. Figuera, F. Amorini, C. Angulo, G. Cardella, S. Cherubini, T. Davinson, D. Leanza, J. Lu, H. Mahmud, M. Milin, A. Musumarra, A. Ninane, M. Papa, M.G. Pellegriti, R. Raabe, F. Rizzo, C. Ruiz, A.C. Shotter, N. Soic, S. Tudisco, L. Weissman, Reactions induced by the halo nucleus \(^6\)He at energies around the Coulomb barrier. Phys. Rev. C 69, 044613 (2004)
M. Zadro, P. Figuera, A. Di Pietro, F. Amorini, M. Fisichella, O. Goryunov, M. Lattuada, C. Maiolino, A. Musumarra, V. Ostashko, M. Papa, M.G. Pellegriti, F. Rizzo, D. Santonocito, V. Scuderi, D. Torresi, Elastic scattering of \(^6\)Li on \(^{64}\)Zn at near-barrier energies. Phys. Rev. C 80, 064610 (2009)
S.B. Moraes, P.R.S. Gomes, J. Lubian, J.J.S. Alves, R.M. Anjos, M.M. Sant’Anna, I. Padron, C. Muri, R. Liguori Neto, N. Added, Fusion and elastic scattering of \(^9\)Be+\(^{64}\)Zn: a search of the breakup influence on these processes. Phys. Rev. C 61, 64608 (2000)
P.R. Christensen, I. Chernov, E.E. Gross, R. Stokstad, F. Videbaek, The interference of coulomb and nuclear excitation in the scattering of \(^{16}\)O from \(^{58}\)Ni, \(^{88}\)Sr and \(^{142}\)Nd. Nucl. Phys. A 207, 433 (1973)
Acknowledgements
The authors would like to thank São Paulo Research Foundation (FAPESP) (Grants 2016/17612-7, 2018/18241-8, 2019/07767-1), Conselho Nacional de Desenvolvimento Científico (CNPq) (Grant 304961/2017-5) and PNPD/CAPES 88887.475459/2020-00 for the financial support. The authors also thank INCT-FNA (Instituto Nacional de Ciência e Tecnologia- Física Nuclear e Aplicações, research project 464898/2014-5). E. F. A. would like to thank CONACyT for partial support (Grant no. CB-01-254619).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Nicolas Alamanos.
Rights and permissions
About this article
Cite this article
Guimarães, V., Cardozo, E.N., Lubian, J. et al. Role of cluster configurations in the elastic scattering of light projectiles on \(^{58}\)Ni and \(^{64}\)Zn targets: a phenomenological analysis. Eur. Phys. J. A 57, 90 (2021). https://doi.org/10.1140/epja/s10050-021-00403-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/s10050-021-00403-0