{"title":"Study of Proton-9,11Li Elastic Scattering at 60~75 MeV\/Nucleon","authors":"Arafa A. Alholaisi, Jamal H. Madani, M. A. Alvi","volume":160,"journal":"International Journal of Nuclear and Quantum Engineering","pagesStart":107,"pagesEnd":113,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10011157","abstract":"
The radial form of nuclear matter distribution, charge and the shape of nuclei are essential properties of nuclei, and hence, are of great attention for several areas of research in nuclear physics. More than last three decades have witnessed a range of experimental means employing leptonic probes (such as muons, electrons etc.) for exploring nuclear charge distributions, whereas the hadronic probes (for example alpha particles, protons, etc.) have been used to investigate the nuclear matter distributions. In this paper, p-9,11<\/sup>Li elastic scattering differential cross sections in the energy range to MeV have been studied by means of Coulomb modified Glauber scattering formalism. By applying the semi-phenomenological Bhagwat-Gambhir-Patil [BGP] nuclear density for loosely bound neutron rich 11<\/sup>Li nucleus, the estimated matter radius is found to be 3.446 fm<\/em> which is quite large as compared to so known experimental value 3.12 fm<\/em>. The results of microscopic optical model based calculation by applying Bethe-Brueckner–Hartree–Fock formalism (BHF) have also been compared. It should be noted that in most of phenomenological density model used to reproduce the p-11<\/sup>Li differential elastic scattering cross sections data, the calculated matter radius lies between 2.964 and 3.55 fm<\/em>. The calculated results with phenomenological BGP model density and with nucleon density calculated in the relativistic mean-field (RMF) reproduces p-9<\/sup>Li and p-11<\/sup>Li experimental data quite nicely as compared to Gaussian- Gaussian or Gaussian-Oscillator densities at all energies under consideration. In the approach described here, no free\/adjustable parameter has been employed to reproduce the elastic scattering data as against the well-known optical model based studies that involve at least four to six adjustable parameters to match the experimental data. Calculated reaction cross sections σR<\/sub> for p-11<\/sup>Li at these energies are quite large as compared to estimated values reported by earlier works though so far no experimental studies have been performed to measure it.<\/p>\r\n","references":"[1]\tI. Tanihata, et al. \u201cMeasurements of interaction cross sections and nuclear radii in the light p-shell region,\u201d Phys. Rev. Lett., vol. 55, pp. 2676-79, Dec.1985.\r\n[2]\tI. Tanihata et al. \u201cDetermination of the density distribution and the correlation of halo neutrons in 11Li,\u201d Phys. Lett. B, vol. 287, pp. 307-311, Jan.1992.\r\n[3]\tG. D. Alkhazov, S. L Belostotsky, A. A. Vorobyov, \u201cScattering of 1 GeV protons on nuclei,\u201d Phys. Reports, vol. 42, pp. 89-144 June 1978.\r\n[4]\tP. Egelhofaf, \u201cProbing the halo structure of exotic nuclei by direct reactions with radioactive beams,\u201d Nucl. Phys. A, vol. 722, pp. C254-60, July 2003. \r\n[5]\tA. V. Dobrovolsky et al. \u201cStudy of the nuclear matter distribution in neutron-rich Li isotopes,\u201d Nucl. Phys. A, vol. 766, pp. 1-24, Feb. 2006. \r\n[6]\tJ. S. A1-Khalili and J. A. Tostevin, \u201cMatter radii of light halo nuclei,\u201d Phys. Rev. lett., vol. 76, pp. 3903-06, May 1996. \r\n[7]\tC.B. Moon et al. \u201cMeasurements of 11Li+ p and 9Li+ p elastic scatterings at 60 MeV,\u201d Phys. Lett. B, vol. 297, pp. 39-43, Dec. 1992. \r\n[8]\tM. Y. M. Hassan, M. Y. H. Farag, H. E. H. Esmael and H. M. Maridi, \u201cMicroscopic model analysis of 11Li+ p elastic scattering at 62, 68.4, and 75 MeV\/nucleon,\u201d Phys. Rev. C, vol. 79, pp. 014612, Jan. 2009. \r\n[9]\tV.K. Lukyanov et al. \u201cMicroscopic analysis of 11Li elastic scattering on protons and breakup processes within the 9Li+2n cluster model,\u201d Phys. Rev. C, vol. 88, pp. 034612, Sept. 2013.\r\n[10]\tK Spasovaet al. \u201cMicroscopic analysis of 11Li elastic scattering on protons and breakup processes within 9Li+ 2n cluster model, \u201cJournal of Physics: Conference Series 2014, vol. 1, p. 012031. IOP Publishing\r\n[11]\tManjari Sharma and W. Haider, \u201cStudy of 11Li+ p elastic scattering using BHF formalism with three body force, \u201cJ. Phys. G: Nucl. and Particle Phys., vol. 45, pp. 045102, March 2018. \r\n[12]\tS. K. Charagi, S. K Gupta, \u201cCoulomb-modified Glauber model description of heavy-ion reaction cross sections,\u201d Phys. Rev. C, vol. 41, pp. 1610-18 April 1990. \r\n[13]\tA. Bhagwat, Y. K. Ghambhir and S. H. Patil, \u201cNuclear densities of Li isotopes,\u201d J. Phys. G: Nucl. Particle Phys., vol. 27, B1-B7, Feb. 2001.\r\n[14]\tR. J. Glauber, in Lecture on Theoretical Physics vol. 1, ed. by W.E. Brittin, L.C. Dunham (Interscience, New York, 1959), p. 315 \r\n[15]\tB. Abu-Ibrahim, W. Horiuchi, A. Kohama and Y. Suzuki, \u201cReaction cross sections of carbon isotopes incident on a proton,\u201d Phys. Rev. C, vol. 77, pp. 034607, March 2008. \r\n[16]\tM.A. Alvi, \u201cStudy of Different Forms of Density Distributions in Proton\u2013Nucleus Total Reaction Cross Section and the Effect of Phase in NN Amplitude,\u201d Braz. J. Phys., vol 44, pp. 55\u201363, Jan. 2014\r\n[17]\tI. Ahmad, M. A. Abdulmomen, L. A. Al-Khattabi, \u201cAlpha-nucleus total reaction cross section in the rigid projectile model using microscopic N-\u03b1 amplitude,\u201d Int. J. Modern Phys. E, vol. 10, pp. 43-53, Feb. 2001. \r\n[18]\tY. K. Gambhir, S. H. Patil, \u201cSome characteristics of nuclear densities,\u201d Z. Physik A Atomic Nuclei, vol. 324, pp. 9-13, March 1986.\r\n[19]\tG. Baur and S. Typel, \u201cDirect reactions with exotic nuclei, nuclear structure and astrophysics,\u201d Prog. Part. Nucl. Phys., vol. 59(1), pp. 122-30, July 2007\r\n[20]\tJ S. Karataglidis, P. J. Dortmans, K. Amos, and C. Bennhold, \u201cAlternative evaluations of halos in nuclei,\u201d Phys. Rev. C, vol. 61, pp. 024319, Jan. 2000\r\n[21]\tSyed Rafi, A. Bhagwat, W. Haider, and Y. K. Gambhir, \u201cBrueckner-Hartree-Fock\u2013based optical potential for proton-4,6,8He and proton-6,7,9,11Li scattering,\u201dPhys. Rev. C, vol. 86, pp. 034612, Sept. 2012.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 160, 2020"}