Skip to main content
Log in

Towards a systematic optical model potential for A = 8 projectiles

  • Regular Article – Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract

An optical model analysis of the available data for A = 8 (\(^8\)He, \(^8\)Li and \(^8\)B) projectiles on different targets with light, medium and heavy mass has been performed. A systematic potential set based on a Woods–Saxon Potential shape was obtained. This potential describes the elastic scattering angular distributions quite well. A more physical model within the framework of a semi-microscopic approach, where the nuclear matter density distributions of the \(^8\)B, \(^8\)Li and \(^8\)He projectiles have been calculated by using a microscopic self-consistent relativistic mean field (RMF) theory, was also considered. The agreement of the calculated angular distributions with the data was reasonable. An improvement of the agreement could be achieved by changing the imaginary diffuseness parameter, which is a sensitive parameter in these calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: No new experimental data were presented in this paper. The data were obtained from the EXFOR data library or directly from the authors who published them as in Table 1.]

References

  1. J.J. Kolata, V. Guimarães, E.F. Aguilera, Elastic scattering, fusion, and breakup of light exotic nuclei. Eur. Phys. J. A 53, 123 (2016)

    Article  ADS  Google Scholar 

  2. I. Tanihata, H. Savajols, R. Kanungo, Recent experimental progress in nuclear halo structure studies. Prog. Part. Nucl. Phys. 68, 215 (2013)

    Article  ADS  Google Scholar 

  3. V. Lapoux, N. Alamanos, Weakly bound Borromean structures of the exotic \(^{6,8}\)He nuclei through direct reactions on proton. Eur. Phys. J. A 51, 91 (2015)

    Article  ADS  Google Scholar 

  4. I. Tanihata, D. Hirata, T. Kobayashi, S. Shirnoura, K. Sugimoto, H. Toki, Revelation of thick neutron skins in nuclei. Phys. Lett. B 289, 261 (1992)

    Article  ADS  Google Scholar 

  5. G. Marquinez-Duran, I. Martel, A.M. Sanchez-Benitez, L. Acosta, J.L. Aguado, R. Berjillos, A.R. Pinto, T. Garcia, J.A. Duenas, K. Rusek, N. Keeley, K.W. Kemper, M.A.G. Alvarez, M.J.G. Borge, A. Chbihi, C. Cruz, M. Cubero, J.P. Fernandez-Garcia, B. Fernandez-Martinez, J.L. Flores, J. Gomez-Camacho, J.A. Labrador, F.M. Marques, A.M. Moro, M. Mazzocco, A. Pakou, V.V. Parkar, N. Patronis, V. Pesudo, D. Pierroutsakou, R. Raabe, R. Silvestri, N. Soic, L. Standylo, I. Strojek, O. Tengblad, R. Wolski, Z. Abou-Haidar, Interaction of \(^8\)He with \(^{208}\)Pb at near-barrier energies: \(^4\)He and \(^6\)He production. Phys. Rev. C 98, 034615 (2018)

    ADS  Google Scholar 

  6. G. Marquinez-Duran, N. Keeley, K.W. Kemper, R.S. Mackintosh, I. Martel, K. Rusek, A.M. Sanchez-Benitez, Influence of single-neutron stripping on near-barrier \(^6\)He+\(^{208}\)Pb and \(^8\)He+\(^{208}\)Pb elastic scattering. Phys. Rev. C 95, 024602 (2016)

    Article  ADS  Google Scholar 

  7. G.A. Korolev, A.V. Dobrovolsky, A.G. Inglessi, G.D. Alkhazov, P. Egelhof, A. Estrade, I. Dillmann, F. Farinon, H. Geissel, S. Ilieva, Y. Ke, A.V. Khanzadeev, O.A. Kiselev, J. Kurcewicz, X.C. Le, YuA Litvinov, G.E. Petrov, A. Prochazka, C. Scheidenberger, L.O. Sergeev, H. Simon, M. Takechib, S. Tang, V. Volkov, A.A. Vorobyov, H. Weick, V.I. Yatsoura, Halo structure of \(^8\)B determined from intermediate energy proton elastic scattering in inverse kinematics. Phys. Lett. B 780, 200 (2018)

    Article  ADS  Google Scholar 

  8. G. W. Fan, M. Fukuda, D. Nishimura, X. L. Cai, S. Fukuda, I. Hachiuma, C. Ichikawa, T. Izumikawa, M. Kanazawa, A. Kitagawa, T. Kuboki, M. Lantz, M. Mihara, M. Nagashima, K. Namihira, Y. Ohkuma, T. Ohtsubo, Zhongzhou Ren, S. Sato, Z. Q. Shen, M. Sugiyama, S. Suzuki, T. Suzuki, M. Takechi, T. Yamaguchi, B. J. Xu, and W. Xu. Structure of8Li from a reaction cross-section measurement. Phys. Rev. C 90, 044321 (2014)

  9. L.F. Canto, V. Guimaraes, 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)

    Article  ADS  Google Scholar 

  10. M. Cubero, J.P. Fernández-García, M. Rodríguez-Gallardo, L. Acosta, M. Acorta, M.A.G. Alvarez, M.J.G. Borge, L. Buchmann, C.A. Diget, H.A. Falou et al., Do halo nuclei follow rutherford elastic scattering at energies below the barrier? The case of \(^{11}\)Li. Phys. Rev. Lett. 109, 262701 (2012)

    Article  ADS  Google Scholar 

  11. N. Keeley, K.W. Kemper, K. Rusek, Dynamic polarization potentials and dipole polarizabilities of \(^{11}\)Li, \(^6\)He and \(^6\)Li compared. Phys. Rev. C 88, 017602 (2013)

    Article  ADS  Google Scholar 

  12. A. Di Pietro, V. Scuderi, A.M. Moro, 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, G. Randisi, F. Rizzo, G. Scalia, O. Tengblad, D. Torresi, A.M. Vidal, D. Voulot, F. Wenander, M. Zadro, Experimental study of the collision \(^{11}\)Be + \(^{64}\)Zn around the Coulomb barrier. Phys. Rev. C 85, 054607 (2012)

    ADS  Google Scholar 

  13. 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)

  14. Y.Y. Yang, X. Liu, D.Y. Pang, Distinction between elastic scattering of weakly bound proton- and neutron-rich nuclei: the case of \(^8\)B and \(^{11}\)Be. Phys. Rev. C 94, 034614 (2016)

    Article  ADS  Google Scholar 

  15. J. Rangel, J. Lubian, L.F. Canto, P.R.S. Gomes, Effect of Coulomb breakup on the elastic cross section of the \(^8\)B proton-halo projectile on a heavy, \(^{208}\)Pb target. Phys. Rev. C 93, 054610 (2016)

    Article  ADS  Google Scholar 

  16. F.D. Becchetti Jr., G.W. Greenlees, Nucleon–nucleus optical-model parameters, A\(>\)40, E\(<\)50 MeV. Phys. Rev 182, 1190 (1969)

    Article  ADS  Google Scholar 

  17. B.A. Watson, P.P. Singh, R.E. Segel, Optical-model analysis of nucleon scattering from 1p-shell nuclei between 10 and 50 MeV. Phys. Rev. 182, 977 (1969)

    Article  ADS  Google Scholar 

  18. J. Cook, Global optical-model potentials for the elastic scattering of \(^{6,7}\)Li projectiles. Nucl. Phys. A 388, 153 (1982)

    Article  ADS  Google Scholar 

  19. R.L. Varner, W.J. Thompson, T.L. McAbee, E.J. Ludwig, T.B. Clegg, A global nucleon optical model potential. Phys. Rep. 201, 57 (1991)

    Article  ADS  Google Scholar 

  20. A.J. Koning, J.P. Delaroche, Local and global nucleon optical models from 1 keV to 200 MeV. Nucl. Phys. A 713, 231 (2003)

    Article  ADS  Google Scholar 

  21. D. Y. Pang, P. Roussel-Chomaz, H. Savajols, R. L. Varner, R. Wolski. Global optical model potential for A=3 projectiles. Phys. Rev. C 79, 024615 (2009), Erratum Phys. Rev. C 81, 019902 (2010)

  22. Y.P. Xu, D.Y. Pang, Toward a systematic nucleus-nucleus potential for peripheral collisions. Phys. Rev. C 87, 044605 (2013)

    Article  ADS  Google Scholar 

  23. X. Yongli, Y. Han, H. Liang, W. Zhendong, H. Guo, Chonghai Cai, Global optical model potential for the weakly bound projectile \(^9\)Be. Phys. Rev. C 99, 034618 (2019)

  24. M.E. Cage, A.J. Cole, G.J. Pyle, Ambiguities and systematics in the real central part of the optical-model potential. Nucl. Phys. A 201, 418 (1973)

    Article  ADS  Google Scholar 

  25. N. Keeley, N. Alamanos, K.W. Kemper, K. Rusek, Strong nuclear couplings as a source of Coulomb rainbow suppression. Phys. Rev. C 82, 034606 (2010)

    Article  ADS  Google Scholar 

  26. 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)

    Article  ADS  Google Scholar 

  27. A. Barioni, J.C. Zamora, V. Guimaraes, B. Paes, J. Lubian, E.F. Aguilera, J.J. Kolata, A.L. Roberts, F.D. Becchetti, A. Villano, M. Ojaruega, H. Jiang, Elastic scattering and total reaction cross sections for the \(^8\)B, \(^7\)Be, and \(^6\)Li+\(^{12}\)C systems. Phys. Rev. C 84, 014603 (2011)

    Article  ADS  Google Scholar 

  28. V. Morcelle, R. Lichtenthaler, A. Lepine-Szily, V. Guimaraes, K.C.C. Pires, J. Lubian, D.R. Mendes Jr., P.N. de Faria, J.J. Kolata, F.D. Becchetti, H. Jiang, E.F. Aguilera, D. Lizcano, E. Martinez-Quiroz, H. Garcia, \(^8\)B+\(^{27}\)Al scattering at low energies. Phys. Rev. C 95, 014615 (2017)

    Article  ADS  Google Scholar 

  29. E.F. Aguilera, E. Martinez-Quiroz, D. Lizcano, A. Gomez-Camacho, J.J. Kolata, L.O. Lamm, V. Guimaraes, 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)

    Article  ADS  Google Scholar 

  30. M. Mazzocco, N. Keeley, A. Boiano, C. Boiano, M. La Commara, C. Manea, C. Parascandolo, D. Pierroutsakou, C. Signorini, E. Strano, D. Torresi, H. Yamaguchi, D. Kahl, L. Acosta, P. Di Meo, J. P. Fernandez-Garcia, T. Glodariu, J. Grebosz, A. Guglielmetti, Y. Hirayama, N. Imai, H. Ishiyama, N. Iwasa, S. C. Jeong, H. M. Jia, Y. H. Kim, S. Kimura, S. Kubono, G. La Rana, C. J. Lin, P. Lotti, G. Marquinez-Duran, I. Martel, H. Miyatake, M. Mukai, T. Nakao, M. Nicoletto, A. Pakou, K. Rusek, Y. Sakaguchi, A. M. Sanchez-Benitez, T. Sava, O. Sgouros, V. Soukeras, F. Soramel, E. Stiliaris, L. Stroe, T. Teranishi, N. Toniolo, Y. Wakabayashi, Y. X. Watanabe, L. Yang, Y. Y. Yang, H. Q. Zhang Elastic scattering for the \(^8\)B and \(^7\)Be+\(^{208}\)Pb systems at near-Coulomb barrier energies. Phys. Rev. C 100, 024602 (2019)

  31. Y.Y. Yang, X. Liu, D.Y. Pang, D. Patel, R.F. Chen, J.S. Wang, P. Ma, J.B. Ma, S.L. Jin, Z. Bai, V. Guimaraes, Q. Wang, W.H. Ma, F.F. Duan, Z.H. Gao, Y.C. Yu, Z.Y. Sun, Z.G. Hu, S.W. Xu, S.T. Wang, D. Yan, Y. Zhou, Y.H. Zhang, X.H. Zhou, H.S. Xu, G.Q. Xiao, W.L. Zhan, Elastic scattering of the proton drip line nuclei \(^7\)Be, \(^8\)B, and \(^9\)C on a lead target at energies around three times the Coulomb barriers. Phys. Rev. C 98, 044608 (2018)

    Article  ADS  Google Scholar 

  32. F.D. Becchetti, W.Z. Liu, K. Ashktorab, J.F. Bajema, J.A. Brown, J.W. Janecke, D.A. Roberts, J.J. Kolata, K.L. Lamkin, A. Morsad, R.J. Smith, X.J. Kong, R.E. Warner, Systematics of \(^8\)Li-induced radioactive beam reactions: E = 13–20 MeV. Phys. Rev. C 48, 308 (1993)

    Article  ADS  Google Scholar 

  33. A. Barioni, V. Guimaraes, A. Lepine-Szily, R. Lichtenthaler, D.R. Mendes Jr., E. Crema, K.C.C. Pires, M.C. Morais, V. Morcelle, P.N. de Faria, R.P. Condori, A.M. Moro, D.S. Monteiro, J.M.B. Shorto, J. Lubian, M. Assuncao, Elastic scattering and total reaction cross sections for the \(^8\)Li+\(^{12}\)C system. Phys. Rev. C 80, 034617 (2009)

    Article  ADS  Google Scholar 

  34. O.C.B. Santos, R. Lichtenthaler, K.C.C. Pires, A.M. Moro, U. Umbelino, E.O.N. Zevallos, M. Assuncao, S. Appannababu, J. Alcantara-Nunez, A.L. de Lara, V. Scarduelli, V. Guimaraes, A. Lepine-Szily, A.S. Serra, R. Linares, V.A.B. Zagatto, P.N. de Faria, V. Morcelle, 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)

    Article  Google Scholar 

  35. 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)

    Article  ADS  Google Scholar 

  36. J.J. Kolata, V.Z. Golberg et al., Elastic scattering and transfer in the \(^8\)Li+\(^{208}\)Pb system near the Coulomb barrier. Phys. Rev. C 65, 054616 (2002)

    Article  ADS  Google Scholar 

  37. K. J. Cook, I. P. Carter, E. C. Simpson, M. Dasgupta, D. J. Hinde, L. T. Bezzina, Sunil Kalkal, C. Sengupta, C. Simenel, B. M. A. Swinton-Bland, K. Vo-Phuoc, E. Williams. Interplay of charge clustering and weak binding in reactions of \(^8\)Li. Phys. Rev. C 97 021601(R) (2018)

  38. G.R. Satchler, Direct nuclear reactions (Oxford University Press, Oxford, 1983)

    Google Scholar 

  39. M. Bhuyan, B. V. Carlson, S. K. Patra, and Shan-Gui Zhou. Surface properties of neutron-rich exotic nuclei within relativistic mean field formalisms. Phys. Rev. C 97, 023322 (2018)

  40. T. Niksic, D. Vretenar, P. Finelli, P. Ring, Relativistic Hartree–Bogoliubov model with density-dependent meson-nucleon couplings. Phys. Rev. C 66, 024306 (2002)

    Article  ADS  Google Scholar 

  41. R. Capote, M. Herman, P. Oblozinsky, P.G. Young, S. Goriely, T. Belgya, A.V. Ignatyuk, A.J. Koning, S. Hilaire, V.A. Plujko, M. Avrigeanu, O. Bersillon, M.B. Chadwick, T. Fukahori, Z. Ge, Y. Han, S. Kailas, J. Kopecky, V.M. Maslov, G. Reffo, M. Sin, ESh. Soukhovitskii, P. Talou, Reference input parameter library for calculation of nuclear reactions and nuclear data evaluation (RIPL-3). Nuclear Data Sheets 110, 3107 (2009)

  42. H. De Vries, C.W. De Jager, C. De Vries, Nuclear charge density distribution parameters from elastic electron scattering. Atomic Data Nuclear Data Tables 36, 495 (1987)

    Article  ADS  Google Scholar 

  43. G. Bertsch, J. Borysowicz, H. McManus, W.G. Love, Interactions for inelastic scattering derived from realistic potentials. Nucl. Phys. A 284, 399 (1977)

    Article  ADS  Google Scholar 

  44. 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 102, 031601(R) (2020)

    Article  ADS  Google Scholar 

  45. 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)

    Article  ADS  Google Scholar 

  46. 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)

    Article  ADS  Google Scholar 

  47. M.S. Hussein, G.R. Satchler, Halos and rainbows. Nuclear Phys. A 567, 165 (1994)

    Article  ADS  Google Scholar 

  48. B.V. Carlson, M.S. Hussein, A.K. Kerman, C.Y. Lin, Optical-model analysis of parity-nonconserving neutron-scattering at epithermal energies. Phys. Rev. C 52, 11 (1995)

    Article  ADS  Google Scholar 

  49. M.A.C. Ribeiro, L.C. Chamon, M.S. Hussein, D. Galetti, Pauli non locality in heavy-ion rainbow scattering: a further test of the folding model. Phys. Rev. Lett. 78, 3270 (1997)

    Article  ADS  Google Scholar 

  50. M.A.G. Alvares, L.C. Chamon, M.S. Hussein, D. Pereira, L.R. Gasques, E.S. Rossi, C.P. Silva, A parameter-free optical potential for heavy-ion elastics cattering process. Nucl. Phys. A 723, 93–103 (2003)

    Article  ADS  Google Scholar 

  51. L.C. Chamon, P.R.S. Gomes, M.S. Hussein, Breakup threshold anomaly: new manifestation of the dispersion relation. Phys. Rev. C 73, 077610 (2006)

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank São Paulo Research Foundation (FAPESP) (Grants 2016/17612-7 and 2017/05660-0) and the Conselho Nacional de Desenvolvimento Científico (CNPq) (Grants 304961/2017-5 and 306433/2017-6) 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).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Guimarães.

Additional information

Communicated by Nicolas Alamanos

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kucuk, Y., Guimarães, V. & Carlson, B.V. Towards a systematic optical model potential for A = 8 projectiles. Eur. Phys. J. A 57, 87 (2021). https://doi.org/10.1140/epja/s10050-021-00405-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/s10050-021-00405-y

Navigation