Comprehensive examination of the elastic scattering angular distributions of 10C+4He, 27Al, 58Ni and 208Pb using various potentials.

Authors

  • M. N. El-Hammamy Damanhur University
  • Awad Ibraheem Faculty of Science King Khalid University
  • M. El-Azab Farid Assiut University
  • E. F. Elshamy King Khalid University
  • Sh. Hamada Tanta University

DOI:

https://doi.org/10.31349/RevMexFis.69.031201

Keywords:

Elastic scattering; Sao Paulo potential; phenomenological potential; cluster folding; dynamical polarization potential

Abstract

The recently measured elastic scattering angular distributions for 10C + 4He, 10C + 27Al, 10C + 58Ni and 10C + 208Pb nuclear systems are investigated in the current study using various potentials based on phenomenological, semi microscopic as well as microscopic approaches. The implemented potentials are: optical potential, double folding potentials based on both Sao Paulo and CDM3Y6 interactions with and without taking into account the effect of the rearrangement term, as well as the cluster folding potential. The cluster nature of 10C as a core of 9B with a valence proton orbiting this core is applied to generate the cluster folding potentials for the different considered systems. The concerned experimental data is fairly reproduced with all the aforementioned potentials.

References

G. R. Satchler and W. G. Love, Folding model potentials from realistic interactions for heavy-ion scattering, phys. Rep. 55 (1979) 183, https://doi.org/10.1016/0370-1573(79)90081-4

R. J. Woolliscroft et al., Elastic scattering and fusion of 9Be + 208Pb: Density function dependence of the double folding renormalization, Phys. Rev. C 69 (2004) 044612, https://doi.org/10.1103/Phys.Rev.C.69.044612

M. Aygun and I. Boztosun, An Extended Analysis of the Elastic Scattering of 6 Li (6He, 6He) 6 Li system at 17.9 MeV, FewBody Syst. 55 (2014) 203, https://doi.org/10.1007/s00601-014-0856-9

M. Aygun, Folding Model Analysis of Elastic Scattering of 11B from Light, Medium, and Heavy Nuclei, Commun.Theor.Phys. 66 (2016) 531, https://doi.org/10.1088/0253-6102/66/5/531

M. Aygun, O. Kocadag and Y. Sahin, Phenomenological and microscopic analysis of elastic scattering reactions of 18O by 24Mg, 28Si, 58Ni, 64Zn, 90Zr, 120Sn and 208Pb target nuclei, Rev.Mex.Fis. 61 (2015) 414, https://www.scielo.org.mx/pdf/rmf/v61n6/v61n6a2.pdf

F. S. Olise et al., Response of multi-step compound preequilibrium reaction cross sections for the (p, n) reactions to forms of optical model parameters, Nucl.Sci.Tech. 28 (2017) 147, https://doi.org/10.1007/s41365-017-0298-4

G. F. Bertsch, J. Borysowicz, H. Mcmanus and W. G. Love, Interactions for inelastic scattering derived form realistic potentials, Nucl. Phys. A 284 (1977) 399, https://dx.doi.org/10.1016/0375-9474(77)90392-X

M. El-Azab Farid and G. R. Satchler, A density-dependent interaction in the folding model for heavy-ion potentials, Nucl. Phys. A 438 (1985) 525, https://doi.org/10.1016/0375-9474(85)90391-4

Z. Majka, H. J. Gils, H. Rebel, Cluster folding model for 12C( 6 Li, 6 Li) 12C scattering at 156 MeV, Phys. Rev. C 25 (1982) 2996, https://doi.org/10.1103/PhysRevC.25.2996

E. Crema, P. R. S. Gomes and L. C. Chamon, Appropriate bare potentials for studying fusion induced by 6He, Phys. Rev. C 75 (2007) 037601, https://doi.org/10.1103/PhysRevC.75.037601

S. Watanabe, High energy scattering of deuterons by complex nuclei, Nucl. Phys. A 8 (1958) 484, https://doi.org/10.1016/0029-5582(58)90180-9

J. W. Watson, Optical potentials for the elastic scattering of 6 Li ions, Nucl. Phys. A 198 (1972) 129, https://doi.org/10.1016/0375-9474(72)90775-0

J. R. Beene, D. J. Horen and G. R. Satchler, On the hindrance of 3 − excitations induced by nuclear scattering, Phys. Lett. B 344 (1995) 67, https://doi.org/10.1016/0370-2693(94)01537-M; Critical comparison of folded potential and deformed potential models of heavy-ion inelastic scattering, Nucl. Phys. A 596 (1996) 137, https://doi.org/10.1016/0375-9474(95)00385-1

M. E. Brandan and G. R. Satchler, The interaction between light heavy-ions and what it tells us, Phys. Rep. 285 (1997) 142, https://doi.org/10.1016/S0370-1573(96)00048-8

M. El-Azab Farid and M. A. Hassanain, Density-independent folding analysis of the 6,7 Li elastic scattering at intermediate energies, Nucl. Phys. A 678 (2000) 38, https://doi.org/10.1016/S0375-9474(00)00313-4;Folding model analysis of 6,7 Li elastic scattering at 12.5-53 MeV/u, Nucl. Phys. A 697 (2002) 183-205, https://doi.org/10.1016/S0375-9474(01)01244-1

M. El-Azab Farid and M. A. Hassanain, Folding model and coupled-channels analysis of 6,7Li elastic and inelastic scattering, Eur. Phys. J. A 19 (2004) 231, https://doi.org/10.1140/epja/i2003-10122-3

M. El-Azab Farid, Microscopic description of 4He+ 4He elastic scattering over the energy range E=100 - 280 MeV, Phys. Rev. C 74 (2006) 064616, https://doi.org/10.1103/PhysRevC.74.064616

Z. Long, L. Hao and L. X.Yun, Nucleon-nucleon interactions in the double folding model for fusion reactions, Chin. Phys. B18 (2009) 136, https://doi.org/10.1088/1674-1056/18/1/021

D. T. Khoa, G. R. Satchler and W. von Oertzen, Nuclear incompressibility and density dependent NN interactions in the folding model for nucleus-nucleus potentials, Phys. Rev. C 954 (1997) 56, https://doi.org/10.1103/PhysRevC.56.954

D. T. Khoa, N. H. Phuc, D. T. Loan and B. M. Loc, Nuclear mean field and double-folding model of the nucleus-nucleus optical potential, Phys. Rev. C 94 (2016) 034612, https://doi.org/10.1103/PhysRevC.94.034612

L. C. Chamon et al., Toward a global description of the nucleus-nucleus interaction, Phys. Rev. C 66 (2002) 014610, https://doi.org/10.1103/PhysRevC.66.014610

L. C. Chamon, B. V. Carlson and L. R. Gasques, Sao Paulo potential version 2 (SPP2) and Brazilian nuclear potential (BNP), Comp. Phys. Comm. 267 (2021) 10806, https://doi.org/10.1016/j.cpc.2021108061

X. Chen,Y. W. Lui, H. L. Clark, Y. Tokimoto and D. H. Youngblood, Giant resonances in 24Mg and 28Si from 240 MeV 6 Li scattering, Phys. Rev.C 80 (2009) 014312, https://dx.doi.org/10.1103/PhysRevC.80.014312

Krishichayan, X. Chen, Y. W. Lui, J. Button and D. H. Youngblood, Elastic and inelastic scattering of 240-MeV 6 Li ions from 40Ca and 48Ca and tests of a systematic optical potential, Phys. Rev. C 81 (2010) 044612, https://doi.org/10.1103/PhysRevC.81.044612

L. C. Chamon, L. R. Gasques, Reinterpreting the energy dependence of the optical potential, J. Phys. G 43 (2016) 015107, https://dx.doi.org/10.1088/0954-3899/43/1/015107

Sunday D. Olorunfunmi and Armand Bahini, Reanalysis of 10B+ 120Sn Elastic Scattering Cross Section Using SA£o Paulo Potential Version 2 and Brazilian Nuclear Potential, Braz. J. Phys. 52 (2022) 11, https://doi.org/10.1007/s13538-021-01018-y

K. O. Behairy et al., Analysis of strong refractive effect within 11Li projectile structure, Chinese Phys. C 45 (2021) 024101, https://doi.org/10.1088/1674-1137/abca1b

M. Anwar, Bodor El-Naggar and Kassem O. Behairy, Microscopic Analysis of the 8B+ 58Ni Elastic Scattering at Energies from 20.7 to 29.3 MeV,J. Phys. Soc. Jpn 91 (2022) 014201, https://doi.org/10.7566/JPSJ.91.014201

M. Anwar, Semimicroscopic analysis of 6 Li elastic scattering at 40 MeV/nucleon, Phys. Rev. C 101 (2020) 064617, https://doi.org/10.1103/PhysRevC.101.064617

L. Y. Hu, Y. S. Songa and Y. W. Hou, H. L. Liu, The cluster folding model analysis for the elastic scattering of 6 Li and 6He on 12C, Eur. Phys. J. A 54 (2018) 230, https://doi.org/10.1140/epja/i2018-12668-1

Sh. Hamada, I. Bondok and M. Abdelmoatmed, Double Folding Potential of Different Interaction Models for 16O + 12C Elastic Scattering, Braz. J. Phys. 46(2016) 740, https://doi.org/10.1007/s13538-016-0450-3

Sh. Hamada et al., Analysis of 6 Li + 16O elastic scattering using different potentials, Rev. Mex. Fis 66(3) (2020) 322, https://doi.org/10.31349/RevMexFis.66.322

M. Karakoc and I. Boztosun,α − α double folding cluster potential description of the 12C+ 24Mg system, Phys. Rev. C 73 (2006) 047601, https://doi.org/10.1103/PhysRevC.73.047601

Y. X. Yang and Q. R. Li, Elastic 16O+20Ne scattering from a folding model analysis, Phys. Rev. C 84 (2011) 014602, https://doi.org/10.1103/PhysRevC.84.014602

M. El-Azab Farid et al., Alpha-deuteron (triton) analysis of 6,7 Li elastic scattering, J. Phys. G: Nucl. Part. Phys. 40 (2013) 075108, https://doi.org/10.1088/0954-3899/40/7/075108

P. R. S. Gomes et al., Fusion, break-up and elastic scattering of weakly bound nuclei, J. Phys. G: Nucl. Part. Phys. 31 (2005) S1669, https://doi.org/10.1088/0954-3899/31/10/051

M. S. Hussein, P. R. S. Gomes, J. Lubian and L. C. Chamon, New manifestation of the dispersion relation: Breakup threshold anomaly, Phys.Rev.C 73 (2006) 044610, https://doi.org/10.1103/PhysRevC.73.044610

A. Gomez Camacho, E. F. Aguilera, P. R. S. Gomes and J. Lubian, Breakup threshold anomaly for the 8B +58Ni system at near-Coulomb barrier energies, Phys.Rev.C 84 (2011) 034615, https://doi.org/10.1103/PhysRevC.84.034615

M. Mazzocco et al., Elastic scattering for the 8B and 7Be+208Pb systems at near-Coulomb barrier energies, Phys. Rev. C 100 (2019) 024602, https://doi.org/10.1103/PhysRevC.100.024602

E. F. Aguilera et al., Reaction cross sections for 8B, 7Be, and 6 Li+58Ni near the Coulomb barrier:Proton-halo effects, Phys. Rev. C 79 (2009) 021601(R), https://doi.org/10.1103/PhysRevC.79.021601

M. A. Nagarajan, C. C. Mahaux and G. R. Satchler, Dispersion Relation and the Low-Energy Behavior of the Heavy-Ion Optical Potential, Phys. Rev. Lett. 54 (1985)1136, https://doi.org/10.1103/PhysRevLett.54.1136

G. R. Satchler, Heavy-ion scattering and reactions near the Coulomb barrier and threshold anomalies, Phys. Rep. 199 (1991) 147, https://doi.org/10.1016/0370-1573(91)90066-U

V. Guimaraes et al., Role of cluster configurations in the elastic scattering of light projectiles on 58Ni and 64Zn targets: a phenomenological analysis, Eur. Phys. J. A 57 (2021) 90, https://doi.org/10.1140/epja/s10050-021-00403-0

Awad A. Ibraheem and M. Aygun, An Investigation of 10,11Be+ 64Zn Reactions Using Different Potentials, Phys. Atom. Nuclei 81 (2018) 714, https://doi.org/10.1134/S1063778818060194

C. Liang and K. Mislow, On Borromean links, J Math Chem 16 (1994) 27, https://doi.org/10.1007/BF01169193

N. Curtis et al., Breakup reaction study of the Brunnian nucleus 10C, Phys. Rev. C 77 (2008) 021301(R), https://doi.org/10.1103/PhysRevC.77.021301

T. Furuno et al., Neutron quadrupole transition strength in 10C deduced from the 10C(α,α) 10C measurement with the MAIKo active target, Phys. Rev. C 100 (2019) 054322, https://doi.org/10.1103/PhysRevC.100.054322

V. Guimaraes et al., Strong coupling effect in the elastic scattering of the 10C+58Ni system near barrier, Phys. Rev. C 100 (2019) 034603, https://doi.org/10.1103/PhysRevC.100.034603

E. F. Aguilera et al., Elastic scattering of 10C + 27Al, J. Phys.: Conf. Ser. 876 (2017) 012001, https://doi.org/10.1088/1742-6596/876/1/012001

Y. Y. Yang et al., Quasi-elastic scattering of 10 , 11C and 10B from a nat Pb target, Phys. Rev. C 90 (2014) 014606, https://doi.org/10.1103/PhysRevC.90.014606

R. Linares et al., Elastic scattering measurements for the 10C+ 208Pb system at Elab= 66 MeV, Phys. Rev. C 103 (2021) 044613, https://doi.org/10.1103/PhysRevC.103.044613

A. Bhagwat, Y. K. Gambhir and S. H. Patil, Nuclear densities in the neutron-halo region, Eur. Phys. J. A 8 (2000) 511, https://doi.org/10.1007/s100500070074

A. Bhagwat, Y. K. Gambhir and S. H. Patil, Nuclear densities of Li isotopes, J. Phys. G: Nucl. Part. Phys. 27 (2001) B1, https://doi.org/10.1088/0954-3899/27/2/3b1

https://www.phy.anl.gov/theory/research/density/

N. Anantaraman, H. Toki and G. F. Bertsch, An effective interaction for inelastic scattering derived from the Paris potential, Nucl. Phys. A 398 (1983) 269, https://doi.org/10.1016/0375-9474(83)90487-6

I.J. Thompson, Coupled reaction channels calculations in nuclear physics, Comput. Phys. Rep.7 (1988)167, https://doi.org/10.1016/0167-7977(88)90005-6

G. E. Thompson, M. B. Epstein, and T. Sawada, Opticalmodel analysis of the scattering of protons from 4He at 31, 40, 46 and 55 MeV, Nucl. Phys. A 142 (1970) 571, https://doi.org/10.1016/0375-9474(70)90813-4

V. S. Prokopenko, V. V. Tokarevskii, and V. N. Shcherbin, Elastic Scattering of Protons by Medium-Mass Nuclei, Izv.Akad.Nauk SSSR, Ser.Fiz. 34 (1970) 126; Bull.Acad.Sci.USSR, Phys. Ser. 34 (1971) 116

D. Hoare, A. B. Robbins and G. W. Greenlees, Polarization of 9 MeV Protons Elastically Scattered from C and Al, Proc. Phys. Soc. 77 (1961) 830, https://doi.org/10.1088/0370-1328/77/4/303

W. T. H. Van Ores Huang Haw, et al., Optical-model analysis of p+ 208Pb elastic scattering from 15 - 1000 MeV, Phys. Rev. C 10 (1974) 307, https://doi.org/10.1103/PhysRevC.10.307

N.M. Clarke, Hi-Optim 94.2 Code (1994) ( University of Birmingham) unpublished

Y. Xu et al., Description of elastic scattering induced by the unstable nuclei 9,11,13,14C, Chinese Phys. C 45 (2021) 114103, https://doi.org/10.1088/1674-1137/ac1fe1

M. Aygun, Comprehensive Research of 10C Nucleus Using Different Theoretical Approaches, Ukr.J.Phys. 66 (2021) 653, https://doi.org/10.15407/ujpe66.8.653

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

M. Aygun, Analysis with relativistic mean-field density distribution of elastic scattering cross-sections of carbon isotopes (10−14,16C) by various target nuclei, Pramana J. Phys. 93 (2019) 72, https://doi.org/10.1007/s12043-019-1835-y

P. R. S. Gomes, J. Lubian, I. Padron and R. M. Anjos, Uncertainties in the comparison of fusion and reaction cross sections of different systems involving weakly bound nuclei, Phys.Rev.C 71 (2005) 017601, https://doi.org/10.1103/PhysRevC.71.017601

S. R. Mokhtar, R. A. Abdel-Gahni, M. Tammam and M. ElAzab Farid, Optical Model Analysis of 8B+27Al Elastic Scattering Above the Coulomb Barrier , J. Rad. Nucl. Appl. 3 (2018) 1- 8, https://dx.doi.org/10.18576/jrna/03010

F. F. Duan et al., Elastic scattering and breakup reactions of neutron-rich nucleus 11Be on 208Pb at 210 MeV, Phys.Rev.C 105 (2022) 034602, https://doi.org/10.1103/PhysRevC.105.034602

Y.Y.Yang et al., Elastic scattering of the proton drip line nuclei 7Be,8B, and 9C on a lead target at energies around three times the Coulomb barriers, Phys.Rev.C 98 (2018) 044608, https://doi.org/10.1103/PhysRevC.98.044608

Awad A.Ibraheem, M.El-Azab Farid and Arwa S.Al-Hajjaji, Analysis of 8B Proton Halo Nucleus Scattered from 12C and 58Ni at Different Energies, Braz J Phys 48 (2018) 507-512, https://doi.org/10.1007/s13538-018-0586-4

K. Kalita et al., Elastic scattering and fusion cross sections for 7Be,7 Li+27Al systems, Phys.Rev.C 73 (2006) 024609, https://doi/10.1103/PhysRevC.73.024609

J. S. Wang et al., 7Be, 8B+208Pb Elastic Scattering at Above-Barrier Energies, J. of Phys.: Conference Series 420 (2013) 012075, https://doi.org/10.1088/1742-6596/420/1/012075

C. Joshi et al., Exploring breakup coupling effect in 7 Li + 92,100Mo elastic scattering around Coulomb barrier energies, Eur.Phys.J. A 58 (2022) 40, https://doi.org/10.1140/epja/s10050-022-00690-1

Downloads

Published

2023-05-01

How to Cite

[1]
M. N. El-Hammamy, A. . Ibraheem, M. El-Azab Farid, E. F. Elshamy, and S. Hamada, “ 58Ni and 208Pb using various potentials”., Rev. Mex. Fís., vol. 69, no. 3 May-Jun, pp. 031201 1–, May 2023.