Stabilization Method of Calculating Resonance Energies: Model Problem

Hazi, Andrew U.; Taylor, Howard S.

doi:10.1103/physreva.1.1109

Cited by 752 publications

(455 citation statements)

References 17 publications

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“…In the PS method, by contrast, the wave functions describing the internal motion of the projectile are the eigenstates of the projectile Hamiltonian in a truncated basis of square-integrable functions. A possible election is a harmonic oscillator (HO) basis [24]. The HO is convenient from a computational point of view, although its Gaussian asymptotic behavior is not appropriate to describe the exponentially decaying wave functions associated with weakly bound states.…”

Section: Introductionmentioning

confidence: 99%

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

et al. 2009

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A new method for continuum discretization in continuum-discretized coupled-channels calculations is proposed. The method is based on an analytic local-scale transformation of the harmonic-oscillator wave functions proposed for other purposes in a recent work [Karatagladis et al., Phys. Rev. C 71, 064601 (2005)]. The new approach is compared with the standard method of continuum discretization in terms of energy bins for the reactions d + 58 Ni at 80 MeV, 6 Li + 40 Ca at 156 MeV, and 6 He + 208 Pb at 22 MeV and 240 MeV/nucleon. In all cases very good agreement between both approaches is found.

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Section: Introductionmentioning

confidence: 99%

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

et al. 2009

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“…The real stabilization method (RSM) is another bound-state-like method [25]. The equation of motion of the system in question is solved in a basis [25] or a box [26] of finite sizes, thus a bound state problem being always imposed.…”

Section: Introductionmentioning

confidence: 99%

“…The equation of motion of the system in question is solved in a basis [25] or a box [26] of finite sizes, thus a bound state problem being always imposed. The RSM uses the fact that the energy of a "resonant" state is stable against changes of the sizes of the basis or the box.…”

Section: Introductionmentioning

confidence: 99%

Real stabilization method for nuclear single-particle resonances

et al. 2008

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We develop the real stabilization method within the framework of the relativistic mean field (RMF) model. With the self-consistent nuclear potentials from the RMF model, the real stabilization method is used to study single-particle resonant states in spherical nuclei. As examples, the energies, widths and wave functions of low-lying neutron resonant states in 120 Sn are obtained. These results are compared with those from the scattering phase shift method and the analytic continuation in the coupling constant approach and satisfactory agreements are found.

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“…There are some powerful methods such as a complex scaling method [30] and an analytic continuation in a coupling constant [31,32] to use a generalization of bound-state problems for locating the resonance. We use the real stabilization method [21] among others for its simplicity. In the stabilization method the Schrödinger equation is solved in a box, i.e., on a square-integrable basis, which makes all solutions look like bound states.…”

Section: Resonance In a Single-channel Calculationmentioning

confidence: 99%

“…To predict the mass and decay width of the Θ + , we use a real stabilization method [21] which utilizes square-integrable basis functions to localize the resonance. We use a stochastic variational method [22,23] (SVM) to set up the basis set which describes resonance states.…”

Section: Introductionmentioning

confidence: 99%

Structure and decay width of the in a one-gluon exchange model

Matsumura

Suzuki

2006

Nuclear Physics A

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The mass and decay width of the Θ + (1540) with isospin 0 are investigated in a constituent quark model comprising uudds quarks. The resonance state for the Θ + is identified as a stable solution in correlated basis calculations. With the use of a one-gluon exchange quark-quark interaction, the mass is calculated to be larger than 2 GeV, increasing in order of the spin-parity, 1 2 − , 3 2 − and 1 2 + ( 3 2 + ), and only the 3 2 − state has a small width to the nK * + decay. If the calculated mass is shifted to around 100 MeV above the N +K threshold, the Θ + (1540) is possibly 1 2 + ( 3 2 + ) or 3 2 − , though in the latter case it cannot decay to the nK + channel. In addition it is conjectured that other pentaquark state with different spin-parity exists below the Θ + (1540). The structure of the Θ + is discussed through the densities and two-particle correlation functions of the quarks and through the wave function decomposition to a baryon-meson model and a diquark-pair model.

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Stabilization Method of Calculating Resonance Energies: Model Problem

Cited by 752 publications

References 17 publications

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

Real stabilization method for nuclear single-particle resonances

Structure and decay width of the in a one-gluon exchange model

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