Effect of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>E</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:math>excitations to the continuum:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>6</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmult

Keeley, N.; Cook, J. M.; Kemper, K. W.; Roeder, B. T.; Weintraub, W.; Maréchal, F.; Rusek, K.

doi:10.1103/physrevc.68.054601

Cited by 60 publications

(128 citation statements)

References 16 publications

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“…However, for a general description of fusion induced by 6 He projectiles a more complete theoretical model of few-body quantum dynamics that is able to: i) distinguish CF from ICF and ii) treat explicitly TR channels is required and which will need to follow correlations after BU [26]. The two-body CDCC calculations [26,27,28,29,30,31,34] of the type we have presented in this work can serve as a good starting point; while 6 He is best described as a three-body α-n-n object, a two-body α-2 n model appears to be satisfactory provided the E 1 strength is reduced by a factor of ∼ 0.5 [34]. This is consistent with the fact that the mean charge radius measured for the two-neutron halo nucleus 6 He [86] can be fairly well described by di-neutron cluster models [85].…”

Section: Discussionmentioning

confidence: 99%

“…The calculations were otherwise similar to those described in [27,30]. The continuum model space was limited to cluster relative angular momentum values of L = 0, 1, 2 and 3 for both Li isotopes, sufficient or more than sufficient (for the case of 6 Li) to provide convergent results for the elastic scattering and BU.…”

Section: Continuum-discretized Coupled-channels Calculationsmentioning

confidence: 99%

“…This is often achieved by discretizing in energy the continuum of the weakly bound nucleus such that the resulting set of coupled equations may be solved in the conventional manner. This is the so-called method of Continuum-Discretized Coupled-Channels (CDCC) [20,21,22,23,24,25,26,27,28,29,30,31,32,33,34]. With the recent advent of new RIB facilities [5,6,7], it is now necessary to extend the CDCC formalism to allow for four-body BU and/or excitation of the "core" nucleus (the question of the treatment of TR channels is also still open).…”

Section: Introductionmentioning

confidence: 99%

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Coupled-channel effects in elastic scattering and near-barrier fusion induced by weakly bound nuclei and exotic halo nuclei

2007

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The influence on fusion of coupling to the breakup process is investigated for reactions where at least one of the colliding nuclei has a sufficiently low binding energy for breakup to become an important process. Elastic scattering, excitation functions for sub-and near-barrier fusion cross sections, and breakup yields are analyzed for 6,7 Li+ 59 Co. Continuum-Discretized Coupled-Channels (CDCC) calculations describe well the data at and above the barrier. Elastic scattering with 6 Li (as compared to 7 Li) indicates the significant role of breakup for weakly bound projectiles. A study of 4,6 He induced fusion reactions with a three-body CDCC method for the 6 He halo nucleus is presented. The relative importance of breakup and bound-state structure effects on total fusion is discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Continuum-discretized Coupled-channels Calculationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coupled-channel effects in elastic scattering and near-barrier fusion induced by weakly bound nuclei and exotic halo nuclei

2007

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“…Because of the difficulty of preparing all the three-body states with the Av method, CDCC so far analyzed 6 He scattering within a limited model in which a two-neutron pair is treated as a single particle, di-neutron ( 2 n) [11]. However, the accuracy of the di-neutron model has not been confirmed yet, because of the absence of fully quantum-mechanical method of treating fourbody breakup.…”

mentioning

confidence: 99%

“…Recently, it was reported in Ref. [11] that the total reaction cross section for 6 He+ 209 Bi is much larger than that for 6 Li+ 209 Bi at similar energies relative to the Coulomb barrier energies because of the large E1 excitation strength of 6 He to the continuum. Meanwhile, for 6 He+ 12 C scattering at 18 MeV, the E1 excitation of 6 He is negligible because E in is much higher than the Coulomb barrier energy (about 3 MeV).…”

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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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Nuclear Reactions with Stable and Radioactive Ion Beams at LAFN-IFUSP

Lépine‐Szily

2021

Braz J Phys

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Effect ofE1excitations to the continuum:He6and

Cited by 60 publications

References 16 publications

Coupled-channel effects in elastic scattering and near-barrier fusion induced by weakly bound nuclei and exotic halo nuclei

Coupled-channel effects in elastic scattering and near-barrier fusion induced by weakly bound nuclei and exotic halo nuclei

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

Nuclear Reactions with Stable and Radioactive Ion Beams at LAFN-IFUSP

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