The 6He scattering and reactions on 12C and cluster states of 14C

“…In fact, the elastic cross section of 6 He+ 12 C scattering at 229. 8 MeV has recently been measured [6] and successfully analyzed by the eikonal calculation with the sixnucleon wave function of 6 He [7]. However, these approaches seem not to be applicable for low-energy scattering such as 12 C( 6 He, 6 He) 12 C at 3 MeV/nucleon [8] measured very recently.…”

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confidence: 99%

Continuum-discretized coupled-channels method for four-body nuclear breakup inHe6+C12scattering

et al. 2004

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We propose a fully quantum-mechanical method of treating four-body nuclear breakup processes in scattering of a projectile consisting of three constituents, by extending the continuum-discretized coupled-channels method. The three-body continuum states of the projectile are discretized by diagonalizing the internal Hamiltonian of the projectile with the Gaussian basis functions. For 6 He+ 12 C scattering at 18 and 229.8 MeV, the validity of the method is tested by convergence of the elastic and breakup cross sections with respect to increasing the number of the basis functions. Effects of the four-body breakup and the Borromean structure of 6 He on the elastic and total reaction cross sections are discussed. PACS numbers: 21.45.+v, 21.60.Gx, 24.10.Eq, The study on neutron-halo nuclei has become one of the central subjects in the unstable nuclear physics since the discovery of such nuclei [1]. In scattering of a two-neutron-halo nucleus such as 6 He and 11 Li, the projectile easily breaks up into its three constituents (n+n+core), indicating that the scattering should be described as a four-body (n+n+core+target) reaction. Then an accurate theory for treating such a fourbody breakup is highly desirable.So far the eikonal and adiabatic calculations were proposed and applied to 6 He and 11 Li scattering around 50 MeV/nucleon [2,3,4,5]. Since these calculations are based on semi-classical approaches, they work well at higher incident energies. In fact, the elastic cross section of 6 He+ 12 C scattering at 229.8 MeV has recently been measured [6] and successfully analyzed by the eikonal calculation with the sixnucleon wave function of 6 He [7]. However, these approaches seem not to be applicable for low-energy scattering such as 12 C( 6 He, 6 He) 12 C at 3 MeV/nucleon [8] measured very recently.In this rapid communication, we present a fully quantummechanical method of treating four-body nuclear breakup. The method is constructed by extending the continuumdiscretized coupled-channels method (CDCC) [9] that treats three-body breakup processes in scattering of the two-body projectile. In CDCC, the total scattering wave function is expanded in terms of bound and continuum states of the projectile. The continuum states are classified by the linear (k) and angular momenta, and they are truncated by setting an upper limit to each quantum number. The k-continuum is then divided into small bins and the continuum states in each bin are averaged into a single state. This procedure of discretization is called the average (Av) method. The S-matrix elements calculated with CDCC converge as the modelspace is extended [9]. The converged CDCC solution is the unperturbed solution of the distorted Faddeev equations, and corrections to the solu- * Electronic address: taku2scp@mbox.nc.kyushu-u.ac.jp tion are negligible within the region of space in which the reaction takes place [10].Also for four-body breakup processes in scattering of the three-body projectile, CDCC has to prepare three-body bound and discretized-continuum states of t...

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“…A clear and specific example of the relevance of elastic scattering experiments is the discovery of the atomic nucleus in 1911, made by Ernest Rutherford. Lately, many experiments and theoretical analyse have been performed using radioactive beams as projectiles to produce a nuclear reaction [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]. It is well known that in general experiments with halo nuclei are difficult to carry out, mainly because of the low intensities of the respective beams.…”

Section: Introductionmentioning

confidence: 99%

Measurements of angular distributions for⁷Li elastically scattered from⁵⁸Ni at energies around the Coulomb barrier

Amador-Valenzuela

Aguilera

Martinez‐Quiroz

et al. 2017

J. Phys.: Conf. Ser.

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Abstract.Recently, experimental measurements of elastic scattering angular distributions for the system 7 Li+ 58 Ni at ten different energies around the Coulomb barrier were made by the Heavy-Ion Group. The measurements were made at the Tandem Van de Graaff Particle Accelerator Laboratory in the National Institute for Nuclear Research (ININ) in Mexico. In this work, preliminary elastic scattering angular distributions for five energies (E lab = 12.0, 12.5, 13.0, 13.5 and 14.22 MeV) are presented. The preliminary experimental data were analyzed using the São Paulo Optical Model Potential (SPP) which is based on a double-folding potential, reproducing very well these data. A comparison is made with old data reported back in 1973 and in 2012. Further analysis is in progress in order to fully understand this particular system, specially because 7 Li is known to be a weakly bound nucleus.

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The 6He scattering and reactions on 12C and cluster states of 14C

Cited by 91 publications

References 38 publications

Four-body continuum-discretized coupled-channels calculations

Four-body continuum-discretized coupled-channels calculations

Continuum-discretized coupled-channels method for four-body nuclear breakup inHe6+C12scattering

Measurements of angular distributions for⁷Li elastically scattered from⁵⁸Ni at energies around the Coulomb barrier

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The 6He scattering and reactions on 12C and cluster states of 14C

Cited by 91 publications

References 38 publications

Four-body continuum-discretized coupled-channels calculations

Four-body continuum-discretized coupled-channels calculations

Continuum-discretized coupled-channels method for four-body nuclear breakup inHe6+C12scattering

Measurements of angular distributions for7Li elastically scattered from58Ni at energies around the Coulomb barrier

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Measurements of angular distributions for⁷Li elastically scattered from⁵⁸Ni at energies around the Coulomb barrier