Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>Coulomb breakup in the complex scaling method

Myo, Takayuki; Katō, Kiyoshi; Aoyama, Shigeyoshi; Ikeda, Kiyomi

doi:10.1103/physrevc.63.054313

Cited by 118 publications

(238 citation statements)

References 64 publications

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“…While in [9] the authors assume a decay through resonances, in [10] the experimental data are reproduced assuming a direct breakup mechanism. Other mechanisms, as decay after populating two-body (neutron-core) resonances [31] could also be important.…”

Section: Energy (Mev)mentioning

confidence: 99%

“…However, several important points should be taken into account. First, it is demonstrated in [31] that in the method of complex coordinate rotation the contributions from both two and three-body non-resonant continuum structures are essential to obtain the full strength function. Including only Breit-Wigner shapes around three-body resonances omits most of the sometimes large two-body contribution.…”

Section: Energy (Mev)mentioning

confidence: 99%

“…Proper computations could be like in [31] with the appropriate spin splitting or as in [2] where the dominating decay mechanism proceeds via the low-energy three-body continuum and the final state interaction is incorporated by use of three-body distorted continuum wave functions. Both calculations are rather elaborate and beyond the scope of this paper.…”

Section: Energy (Mev)mentioning

confidence: 99%

“…The same method has also been applied to study the continuum structure of 9 Be and 9 B [28] assuming these nuclei as three-body systems made by two α-particles and a neutron and a proton, respectively. Application to the two-neutron halo nucleus 6 He can be found in [29][30][31], and in [32] the case of 10 He is considered. When available, the agreement with the experimental data is satisfactory.…”

Section: Introductionmentioning

confidence: 99%

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Dipole excited states in 11Li with complex scaling

Garrido¹,

Fedorov²,

Jensen³

2002

Nuclear Physics A

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The 1 − excitations of the three-body halo nucleus 11 Li are investigated. We use adiabatic hyperspherical expansion and solve the Faddeev equations in coordinate space. The method of complex scaling is used to compute the resonance states. The Pauli forbidden states occupied by core neutrons are excluded by constructing corresponding complex scaled phase equivalent two-body potentials. We use a recently derived neutron-core interaction consistent with known structure and reaction properties of 10 Li and 11 Li. The computed dipole excited states with J π = 1/2 + , J π = 3/2 + , and J π = 5/2 + have energies ranging from 0.6 MeV to 1.0 MeV and widths between 0.15 MeV and 0.65 MeV. We investigate the dependence of the complex energies of these states on the 10 Li spectrum. The finite spin 3/2 of the core and the resulting core-neutron spin-spin interaction are important. The connection with Coulomb dissociation experiments is discussed and a need for better measurements is pointed out. : 21.45.+v, 25.10.+s, 25.60.Gc PACS

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Section: Energy (Mev)mentioning

confidence: 99%

Section: Energy (Mev)mentioning

confidence: 99%

Section: Energy (Mev)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dipole excited states in 11Li with complex scaling

Garrido¹,

Fedorov²,

Jensen³

2002

Nuclear Physics A

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“…The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13].…”

mentioning

confidence: 99%

Cluster sum rules for three-body systems with angular-momentum dependent interactions

et al. 2008

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We derive general expressions for non-energy-weighted and energy-weighted cluster sum rules for systems of three charged particles. The interferences between pairs of particles are found to play a substantial role. The energy-weighted sum rule is usually determined by the kinetic energy operator, but we demonstrate that it has similar additional contributions from the angular momentum and parity dependence of two-and three-body potentials frequently used in three-body calculations. I. MOTIVATIONThe use of sum rules in quantum mechanics is well established and abundantly applied for many different systems [1,2]. The prominent examples are the transitions from a given quantum state induced by an electromagnetic multipole operator. For any multipole operator acting on an initial state, the sum of all the related transition probabilities multiplied by powers of the excitation energy are completely determined by the properties of the initial state [3,4].The sum rules exist in general for any many-body quantum system. Of specific interest are those systems where the constituents clusterize, such that the degrees of freedom can be divided into the internal ones corresponding to each cluster and those associated with the relative motion of the clusters [5]. Then the different multipole operators can be decomposed into terms depending on the intrinsic coordinates of each cluster and an additional term depending only on the relative coordinates of the centers of mass of the clusters. This operator structure then leaves two sum rules showing the same decomposition: the sum rules associated with each individual cluster (depending only on the properties of the initial cluster state) plus the cluster sum rule (depending on the properties of the few-body initial wave function). Examples are found in Refs. [6,7], where the dipole non-energy-weighted and dipole energy-weighted sum rules are obtained for many-body systems clusterizing into a two-body system. When a clusterized system can be properly described as a few-body system where the internal cluster degrees of freedom are frozen, only the cluster sum rules remain, corresponding to the much smaller Hilbert space of ground and excited states of the relative cluster motion. This kind of few-body descriptions have been extensively used in nuclear physics during the past 10-15 years in connection with halos and weakly bound states in general [5]. The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13]. The unavoidable transformation from one set of Jacobi coordinates to another complicates the structure of the cluster sum rules, especially when more than one of the three particles is charged.The purpose of this work is to generalize the dipole twobody...

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Di-Neutron Clustering and Deuteron-like Tensor Correlation in Nuclear Structure Focusing on 11Li

et al. 2010

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11 Li is a Borromean nucleus, where two out of three objects as 9 Li + n and two neutrons independently do not form bound systems. Two neutrons should form a di-neutron cluster in the nuclear field generated by the 9 Li core nucleus. We treat di-neutron clustering by solving the two neutron relative wave function precisely by using the bare nucleon-nucleon interaction so that the spatial clustering structure is obtained quantitatively within the whole 11 Li nucleus. This di-neutron clustering is an essential dynamics to form the halo structure by making a compact di-neutron cluster, which distributes loosely around the 9 Li core. This concept of di-neutron clustering should be clearly distinguished from the BCS pairing correlation, where no consideration of spatial clustering is made. The di-neutron clustering is a new concept and is a general phenomenon in neutron skin and neutron halo nuclei.This quantitative description of di-neutron clustering has made it necessary to consider another important deuteron-like tensor correlation, which is caused by strong tensor interaction in the nucleon-nucleon interaction. The tensor interaction originates from pion exchange and known to provide large attraction to form the 4 He nucleus. The unique feature of the tensor correlation is to make highly correlated deuteron-like excitation, which interferes with shell model like structure in a unique way. This dynamical effect removes the magic number effect and makes There is a theoretical study on the pairing property and the E1 excitation in 11 Li by Esbensen and Bertsch [10]. In their study, it is essential to bring down the s 1/2 orbit to reproduce the experimental E1 excitation spectrum. As for the pairing correlation, there are many studies to describe 11 Li as the BCS state. In the study of Meng and Ring [11], they describe 11 Li in terms of a relativistic Hartree-Bogoliubov model. In this study, they can include the continuum effect in their pairing correlations. In the relativistic Hartree-Bogoliubov model, the s-wave contribution comes out to be about a quarter of the p-wave contribution for the paired two neutrons. We need more participation of the s-wave component as compared to the finding of the experimental data of Simon et al. [3].There is another interpretation on the halo structure as due to deformation. In the work of Varga, Suzuki and Lovas [12], they try to break the 9 Li core and introduce the cluster structure. The wave function of 11 Li is written as 4 He+t + 4n and take the interaction among them by a phenomenological central interaction. In this way, they can introduce the effect of the deformation and pairing correlations among the nucleons. The deformation effect provides a large matter radius and some s-wave component in the wave function.The theoretical challenge on the halo structure is therefore summarized as follows. There are many indications that the s-wave component is very large in the ground state wave function. Hence, we have to find a mechanism to bring down the s 1/2 orbit with the amount...

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Analysis of6HeCoulomb breakup in the complex scaling method

Cited by 118 publications

References 64 publications

Dipole excited states in 11Li with complex scaling

Dipole excited states in 11Li with complex scaling

Cluster sum rules for three-body systems with angular-momentum dependent interactions

Di-Neutron Clustering and Deuteron-like Tensor Correlation in Nuclear Structure Focusing on 11Li

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