Comprehensive Research of 10C Nucleus Using Different Theoretical Approaches
DOI:
https://doi.org/10.15407/ujpe66.8.653Keywords:
nuclear potential, proximity potential, density distribution, cluster model, elastic scattering, optical model, double folding modelAbstract
We perform an extensive theoretical analysis of 10C nucleus with the use of various theoretical approaches involving the different nuclear potentials and different density distributions, as well as a simple cluster approach. We try to explain new measured and challenging experimental data on the 10C + 58Ni system at 35.3 MeV. First, we investigate the effect of thirteen different potentials. Then, we examine ten different types of density distributions for 10C nucleus. Finally, we present a simple calculation method for various cluster states of 10C, compare all the theoretical results with the experimental data, and obtain their improved agreement.
References
https://www.nndc.bnl.gov/nudat2/
https://knotplot.com/brunnian/
V. Guimar˜aes, 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, Jr., N.N. Deshmukh. Strong coupling effect in the elastic scattering of the 10C + 58Ni system near barrier. Phys. Rev. C 100, 034603 (2019).
https://doi.org/10.1103/PhysRevC.100.034603
G.R. Satchler, W.G. Love. Folding model potentials from realistic interactions for heavy-ion scattering. Phys. Rep. 55, 183 (1979).
https://doi.org/10.1016/0370-1573(79)90081-4
S.A. Goncharov, A. Izadpanah. Nucleus-nucleus potential within the semi microscopic dispersive model on the basis of a corrected folding-model potential. Phys. Atom. Nucl. 70, 18 (2007).
https://doi.org/10.1134/S1063778807010036
M. Aygun. Alternative potentials analyzing the scattering cross sections of 7,9,10,11,12,14Be isotopes from a 12C target: Proximity potentials. J. Korean Phys. Soc. 73, 1255 (2018).
https://doi.org/10.3938/jkps.73.1255
M. Aygun. A comparison of proximity potentials in the analysis of heavy-ion elastic cross sections. Ukr. J. Phys. 63, 881 (2018).
https://doi.org/10.15407/ujpe63.10.881
M. Aygun. The application of some nuclear potentials for quasielastic scattering data of the 11Li + 28Si reaction and its consequences. Turk. J. Phys. 42, 302 (2018).
https://doi.org/10.3906/fiz-1801-5
J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang. Proximity forces. Ann. Phys. (NY) 105, 427 (1977).
https://doi.org/10.1016/0003-4916(77)90249-4
I. Dutt, R.K. Puri. Comparison of different proximity potentials for asymmetric colliding nuclei. Phys. Rev. C 81, 064609 (2010).
https://doi.org/10.1103/PhysRevC.81.064609
W.D. Myers, W.J. Swiatecki. Nuclear masses and deformations. Nucl. Phys. 81, 1 (1966).
https://doi.org/10.1016/0029-5582(66)90639-0
H.J. Krappe, J.R. Nix, A.J. Sierk. Unified nuclear potential for heavy-ion elastic scattering, fusion, fission, and ground-state masses and deformations. Phys. Rev. C 20, 992 (1979).
https://doi.org/10.1103/PhysRevC.20.992
R. Kumar. Effect of isospin on the fusion reaction crosssection using various nuclear proximity potentials within
the Wong model. Phys. Rev. C 84, 044613 (2011).
https://doi.org/10.1103/PhysRevB.84.085435
K. Pomorski, J. Dudek. Nuclear liquid-drop model and surface-curvature effects. Phys. Rev. C 67, 044316 (2003).
https://doi.org/10.1103/PhysRevC.67.044316
I. Dutt, R.K. Puri. Role of surface energy coefficients and nuclear surface diffuseness in the fusion of heavy-ions. Phys. Rev. C 81, 047601 (2010).
https://doi.org/10.1103/PhysRevC.81.047601
R. Gharaei, V. Zanganeh, N. Wang. Systematic study of proximity potentials for heavy-ion fusion cross sections. Nucl. Phys. A 979, 237 (2018).
https://doi.org/10.1016/j.nuclphysa.2018.09.032
W. Reisdorf. Heavy-ion reactions close to the Coulomb barrier. J. Phys. G: Nucl. Part. Phys. 20, 1297 (1994).
https://doi.org/10.1088/0954-3899/20/9/004
G.L. Zhang, Y.J. Yao, M.F. Guo, M. Pan, G.X. Zhang, X.X. Liu. Comparative studies for different proximity potentials applied to large cluster radioactivity of nuclei. Nucl. Phys. A 951, 86 (2016).
https://doi.org/10.1016/j.nuclphysa.2016.03.039
A. Winther. Dissipation, polarization and fluctuation in grazing heavy-ion collisions and the boundary to the chaotic regime. Nucl. Phys. A 594, 203 (1995).
https://doi.org/10.1016/0375-9474(95)00374-A
O. Aky¨uz, A. Winter. Proceedings of the International School of Physics "Enrico Fermi", Course LXXVII, Varenna, Italy, 1979, Ed. by R.A. Broglia, C.H. Dasso, R. Richi (North-Holland, 1981), p. 492.
R.N. Sagaidak, S.P. Tretyakova, S.V. Khlebnikov, A.A. Ogloblin, N. Rowley W.H. Trzaska. Nuclear potentials for sub-barrier fusion and cluster decay in 14C, 18O + 208Pb systems. Phys. Rev. C 76, 034605 (2007).
https://doi.org/10.1103/PhysRevC.76.034605
P.R. Christensen, A. Winther, The evidence of the ion-ion potentials from heavy ion elastic scattering. Phys. Lett. B 65, 19 (1976).
https://doi.org/10.1016/0370-2693(76)90524-4
H. Ngˆo, C. Ngˆo. Calculation of the real part of the interaction potential between two heavy ions in the sudden approximation. Nucl. Phys. A 348, 140 (1980).
https://doi.org/10.1016/0375-9474(80)90550-3
V. Yu Denisov. Interaction potential between heavy ions. Phys. Lett. B 526, 315 (2002).
https://doi.org/10.1016/S0370-2693(01)01513-1
M. Aygun. A comprehensive analysis of elastic scattering of 14N projectile on 7Li, 9Be, 11B, 12C, 16O, 26Mg, 28Si, 40Ca, 56Fe, 59Co, 60,62Ni, 70,74Ge, 90Zr, 112Cd, 118Sn, 159Tb and 197Au at various incident energies. Chin. J. Phys. 55, 2559 (2017).
https://doi.org/10.1016/j.cjph.2017.09.016
M. Aygun. Analysis with SDHO and RMF density distributions of elastic scattering cross-sections of oxygen isotopes(16−18O) by various target nuclei. Int. J. Mod. Phys. E 27, 1850055 (2018).
https://doi.org/10.1142/S0218301318500556
M. Aygun. Double-folding analysis of the 6Li + 58Ni reaction using the ab initio density distribution. Eur. Phys. J. A 48, 145 (2012).
https://doi.org/10.1140/epja/i2012-12145-y
M. Aygun, Y. Kucuk, I. Boztosun, A.A. Ibraheem. Microscopic few-body and Gaussian-shaped density distributions
for the analysis of the 6He exotic nucleus with different target nuclei. Nucl. Phys. A 848, 245 (2010).
https://doi.org/10.1016/j.nuclphysa.2010.09.005
M. Aygun. A comprehensive description of 19F elastic scattering by 12C, 16O, 66Zn, 159Tb, and 208Pb target nuclei. Braz. J. Phys. 49, 760 (2019).
https://doi.org/10.1007/s13538-019-00680-7
T. Ulucay, M. Aygun. A comprehensive description of elastic scattering angular distributions for eight different density distribution of 32S nucleus. Rev. Mex. Fis. 66, 336 (2020).
https://doi.org/10.31349/RevMexFis.66.336
https://www.phy.anl.gov/theory/research/density/
C. Ngˆo, B. Tamain, M. Beiner, R.J. Lombard, D. Mas, H.H. Deubler. Properties of heavy ion interaction potentials calculated in the energy density formalism. Nucl. Phys. A 252, 237 (1975).
https://doi.org/10.1016/0375-9474(75)90614-4
R.K. Gupta, D. Singh, W. Greiner. Semiclassical and microscopic calculations of the spin-orbit density part of the Skyrme nucleus-nucleus interaction potential with temperature effects included. Phys. Rev. C 75, 024603 (2007).
https://doi.org/10.1103/PhysRevC.75.024603
O.N. Ghodsi, F. Torabi. Comparative study of fusion barriers using Skyrme interactions and the energy density functional. Phys. Rev. C 92, 064612 (2015).
https://doi.org/10.1103/PhysRevC.92.064612
R.K. Gupta, D. Singh, R. Kumar, W. Greiner. Universal functions of nuclear proximity potential for Skyrme nucleus-nucleus interaction in a semiclassical approach. J. Phys. G: Nucl. Part. Phys. 36, 075104 (2009).
https://doi.org/10.1088/0954-3899/36/7/075104
L.C. Chamon, B.V. Carlson, L.R. Gasques, D. Pereira, C. De Conti, M.A.G. Alvarez, M.S. Hussein, M.A. Cˆandido Ribeiro, E.S. Rossi, Jr., C.P. Silva. Toward a global description of the nucleus-nucleus interaction. Phys. Rev. C 66, 014610 (2002).
https://doi.org/10.1103/PhysRevC.66.014610
W.M. Seif, H. Mansour. Systematics of nucleon density distributions and neutron skin of nuclei. Int. J. Mod. Phys. E 24, 1550083 (2015).
https://doi.org/10.1142/S0218301315500834
M. Ismail, W.M. Seif, W.M. Tawfik, A.M. Hussein. Effect of choosing the Qa-values and daughter density distributions on the magic numbers predicted by a decays. Ann. Physics 406, 1 (2019).
https://doi.org/10.1016/j.aop.2019.03.020
C. Jouanne, V. Lapoux, F. Auger, N. Alamanos, A. Drouart, A. Gillibert, G. Lobo, A. Musumarra, L. Nalpas, E. Pollacco, J.-L. Sida, M. Trotta, Y. Blumenfeld, E. Khan, T. Suomij¨arvi, T. Zerguerras, P. RousselChomaz, H. Savajols, A. Lagoyannis, A. Pakou. Structure of low-lying states of 10,11C from proton elastic and inelastic scattering. Phys. Rev. C 72, 014308 (2005).
https://doi.org/10.1103/PhysRevC.72.014308
H. Schechter, L.F. Canto. Proximity formulae for folding potentials. Nucl. Phys. A 315, 470 (1979).
https://doi.org/10.1016/0375-9474(79)90623-7
S.A. Moszkowski. Energy dependence of the ion-ion potential with a simplified energy density method. Nucl. Phys. A 309, 273 (1978).
https://doi.org/10.1016/0375-9474(78)90548-1
M. El-Azab Farid, M.A. Hassanain. Density-independent folding analysis of the 6,7Li elastic scattering at intermediate energies. Nucl. Phys. A 678, 39 (2000). https://doi.org/10.1016/S0375-9474(00)00313-4
M. Aygun. A comparative analysis of the density distributions and the structure models of 9Li. Pramana - J. Phys. 88, 53 (2017).
M. Aygun, Z. Aygun. A theoretical study on different cluster configurations of the 9Be nucleus by using a simple cluster model. Nucl. Sci. Tech. 28, 86 (2017). https://doi.org/10.1007/s41365-017-0239-2
M. Aygun. A comprehensive study on the internal structure and the density distribution of 12Be. Rev. Mex. Fis. 62, 336 (2016).
M. Aygun. A comprehensive theoretical analysis of 22Ne nucleus by using different density distributions, different nuclear potentials and different cluster approach. Int. J. Mod. Phys. E 29, 1950112 (2020). https://doi.org/10.1142/S021830131950112X
A.K. Chaudhuri. Density distribution of 11Li and proton elastic scattering from 9Li and 11Li. Phys. Rev. C 49, 1603 (1994). https://doi.org/10.1103/PhysRevC.49.1603
R.A. Rego. Closed-form expressions for cross sections of exotic nuclei. Nucl. Phys. A 581, 119 (1995). https://doi.org/10.1016/0375-9474(94)00424-L
R.J. Charity, T.D. Wiser, K. Mercurio, R. Shane, L.G. Sobotka, A.H. Wuosmaa, A. Banu, L. Trache, R.E. Tribble. Continuum spectroscopy with a 10C beam: Cluster structure and three-body decay. Phys. Rev. C 80, 024306 (2009). https://doi.org/10.1103/PhysRevC.80.024306
A. Ozawa, I. Tanihata, T. Kobayashi, Y. Sugahara, O. Yamakawa, K. Omata, K. Sugimoto, D. Olson, W. Christie, H. Wieman. Interaction cross sections and radii of light nuclei. Nucl. Phys. A 608, 63 (1996). https://doi.org/10.1016/0375-9474(96)00241-2
I.J. Thompson. Coupled reaction channels calculations in nuclear physics. Comput. Phys. Rep. 7, 167 (1988). https://doi.org/10.1016/0167-7977(88)90005-6
J. Cook. DFPOT - A program for the calculation of double folded potentials. Commun. Comput. Phys. 25, 125 (1982). https://doi.org/10.1016/0010-4655(82)90029-7
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
