Three-body resonances by complex scaling.
نویسنده
چکیده
It is demonstrated that the complex scaling method can be used in practical calculations to localize three-body resonances. Our model example emphasizes the fact that in three-body systems several essentially different asymptotic behaviors can appear. We show that the possibility of these different asymptotic configurations can lead to an apparent, resonance like structure in the three-body continuum. PACS numbers: 21.45.+v, 24.30.Gd Typeset using REVTEX
منابع مشابه
Complex Scaling of the Faddeev Operator ∗
The work is devoted to comparison of two different approaches to calculation of three-body resonances on the basis of the Faddeev differential equations. The first one is the well known complex scaling approach. The second method is based on an immediate calculation of the zeros of the scattering matrix continued to the physical sheet. For years the complex scaling [1,2] is considered as one of...
متن کامل0 Complex Scaling of the Faddeev Equations 1 , 2
In this work we compare two different approaches to calculation of the three-body resonances on the basis of Faddeev differential equations. The first one is the complex scaling approach. The second method is based on an immediate calculation of resonances as zeros of the three-body scattering matrix continued to the physical sheet.
متن کاملResonances in three-body systems with short and long-range interactions
The complex scaling method permits calculations of few-body resonances with the correct asymptotic behaviour using a simple box boundary condition at a sufficiently large distance. This is also valid for systems involving more than one charged particle. We first apply the method on two-body systems. Three-body systems are then investigated by use of the (complex scaled) hyperspheric adiabatic e...
متن کاملScattering Resonances as Viscosity Limits
Using the method of complex scaling we show that scattering resonances of −∆ + V , V ∈ Lc (R), are limits of eigenvalues of −∆ + V − iεx as ε → 0+. That justifies a method proposed in computational chemistry and reflects a general principle for resonances in other settings.
متن کاملA study of complex scaling transformation using the Wigner representation of wavefunctions.
The complex scaling operator exp(-θ ̂x̂p/ℏ), being a foundation of the complex scaling method for resonances, is studied in the Wigner phase-space representation. It is shown that the complex scaling operator behaves similarly to the squeezing operator, rotating and amplifying Wigner quasi-probability distributions of the respective wavefunctions. It is disclosed that the distorting effect of the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. C, Nuclear physics
دوره 49 4 شماره
صفحات -
تاریخ انتشار 1994