Test of finite temperature random-phase approximation on a Lipkin model

Hagino, K.; Minato, Futoshi

doi:10.1103/physrevc.80.047301

Cited by 7 publications

(12 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is also suggested that a large s-wave mixing enhances the dineutron correlation in the 11 Li ground state [94], as shown in Fig 22. It is important to clarify the effect of the correlations in 9 Li on the E1 strength distribution of 11 Li. We compare the restricted coupled-channel calculation and that using the simple 9 Li + n + n model assuming an inert 9 Li core [171]. Both wave functions contain almost the same amount of the s-wave component.…”

Section: Effects Of 2p2h Excitations Due To the Tensor And Pairing Comentioning

confidence: 99%

Recent development of complex scaling method for many-body resonances and continua in light nuclei

Myo

Kikuchi

Masui

et al. 2014

Progress in Particle and Nuclear Physics

121

View full text Add to dashboard Cite

The complex scaling method (CSM) is a useful similarity transformation of the Schrödinger equation, in which bound-state spectra are not changed but continuum spectra are separated into resonant and non-resonant continuum ones. Because the asymptotic wave functions of the separated resonant states are regularized by the CSM, many-body resonances can be obtained by solving an eigenvalue problem with the L2L2 basis functions. Applying this method to a system consisting of a core and valence nucleons, we investigate many-body resonant states in weakly bound nuclei very far from the stability lines. Non-resonant continuum states are also obtained with the discretized eigenvalues on the rotated branch cuts. Using these complex eigenvalues and eigenstates in CSM, we construct the extended completeness relations and Green’s functions to calculate strength functions and breakup cross sections. Various kinds of theoretical calculations and comparisons with experimental data are presented

show abstract

Section: Effects Of 2p2h Excitations Due To the Tensor And Pairing Comentioning

confidence: 99%

Recent development of complex scaling method for many-body resonances and continua in light nuclei

Myo

Kikuchi

Masui

et al. 2014

Progress in Particle and Nuclear Physics

121

View full text Add to dashboard Cite

show abstract

“…In neutron-rich nuclei, low-energy dipole resonances have been suggested to appear because of excess neutron motion against a core. The socalled soft dipole resonance, which is the enhanced E1 strength observed in the extremely low-energy (E ≤ 2 − 3 MeV) region in neutron halo nuclei such as 6 He and 11 Li, has been intensively studied by experimental and theoretical groups and often discussed in relation with two-neutron correlation [1][2][3][4][5][6][7][8][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. More generally the low-energy E1 strength typically in 5 ≤ E ≤ 15 MeV region is predicted in various nuclei in a wide mass region, and the one decoupling from the GDR is called pigmy dipole resonance.…”

Section: Introductionmentioning

confidence: 99%

Isovector and isoscalar dipole excitations inBe9andBe10studied with antisymmetrized molecular dynamics

Kanada-En’yo

2016

Phys. Rev. C

View full text Add to dashboard Cite

Isovector and isoscalar dipole excitations in 9 Be and 10 Be are investigated in the framework of antisymmetrized molecular dynamics, in which angular-momentum and parity projections are performed. In the present method, 1p-1h excitations on the ground state and large amplitude α-cluster mode are incorporated. The isovector giant dipole resonance (GDR) in E > 20 MeV shows the two peak structure which is understood by the dipole excitation in the 2α core part with the prolate deformation. Because of valence neutron modes against the 2α core, low-energy E1 resonances appear in E < 20 MeV exhausting about 20% of the Thomas-Reiche-Kuhn sum rule and 10% of the calculated energy-weighted sum. The dipole resonance at E ∼ 15 MeV in 10 Be can be interpreted as the parity partner of the ground state having a 6 He+α structure and has the remarkable E1 strength because of coherent contribution of two valence neutrons. The ISD strength for some low-energy resonances are significantly enhanced by the coupling with the α-cluster mode. The calculated E1 strength of 9 Be reasonably describes the global feature of experimental photonuclear cross sections consisting of the low-energy strength in E < 20 MeV and the GDR in E > 20 MeV.

show abstract

“…In particular, it was shown in work of Ref. [30] that the derived asymptotic form Ψ(R) at R → ∞ contains a factor of OSVF for the virtual decay (11), which depends on the variables ϕ,x (orr 12 ) andŷ (orr (12)3 ). Besides, in Ref.…”

Section: Appendix A: Asymptotic Behavior Of the Full Three-body Wave mentioning

confidence: 99%

“…Study of structure of light exotic nuclei, lying near the drip lines and so-called halo nuclei is one of the most interesting topics of low-energy nuclear physics [1][2][3][4][5][6][7][8][9][10][11][12][13]. It has revealed a number of features inherent only for these nuclei but not for normal (non-halo) nuclei, such as rather low separation energies of the external ("valence") nucleons, large radii and narrow peaks observed in the breakup probability distribution.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Asymptotics of three-body bound state radial wave functions of halo nuclei involving two charged particles

Yarmukhamedov

2017

Nuclear Physics A

View full text Add to dashboard Cite

Asymptotic expressions for the radial and full wave functions of a three-body bound halo nuclear system with two charged particles in relative coordinates are obtained in explicit form, when the relative distance between two particles tends to infinity. The obtained asymptotic forms are applied to the analysis of the asymptotic behavior of the three-body (pnα) wave functions for the halo (E * =3.562 MeV, J π =0 + , T=1) state of 6 Li derived by D. Baye within the Lagrange-mesh method for two forms of the αN -potential. The agreement between the calculated wave function and the asymptotic formula is excellent for distances up to 30 fm. Information about the values of the three-body asymptotic normalization functions is extracted. It is shown that the extracted values of the three-body asymptotic normalization function are sensitive to the form of the αNpotential. The mirror symmetry is revealed for the three-body asymptotic normalization functions derived for the isobaric ( 6 He, 6 Li * ) pair.

show abstract

Test of finite temperature random-phase approximation on a Lipkin model

Cited by 7 publications

References 30 publications

Recent development of complex scaling method for many-body resonances and continua in light nuclei

Recent development of complex scaling method for many-body resonances and continua in light nuclei

Isovector and isoscalar dipole excitations inBe9andBe10studied with antisymmetrized molecular dynamics

Asymptotics of three-body bound state radial wave functions of halo nuclei involving two charged particles

Contact Info

Product

Resources

About