Calculation of low-energy pion—3He scattering

Belyaev, V.B.; Wrzecionko, J.; Sakvarelidze, M.I.

doi:10.1016/0370-2693(79)90878-5

Cited by 6 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They allow one to reduce complexity of a problem and proceed to its solution. E.g., in [5] finite-rank operator was used to describe nuclear part of full Hamiltonian in a problem of low energy π − 3 He scattering. N. W. Bazley and D. W. Fox used finite rank operators to calculate lower bounds of eigenvalues of Schrödinger eqution [2,3].…”

Section: Finite Rank Operatorsmentioning

confidence: 99%

A new method of description of three-particle Coulombic systems

Belyaev,

Naumkin

2010

Preprint

View full text Add to dashboard Cite

We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for Coulomb potential in three-body system Hamiltonian, that results in a system of one-dimensional coupled integral equations. Preliminary numerical results for three-body atomic and molecular systems like H − , He, ppµ and other are presented.Keywords three-body atomic systems • hyperspherical functions • finite rank operator • bound states

show abstract

Section: Finite Rank Operatorsmentioning

confidence: 99%

A new method of description of three-particle Coulombic systems

Belyaev,

Naumkin

2010

Preprint

View full text Add to dashboard Cite

show abstract

“…In this work, we present an application of a nonstandard method-the finite-rank approximation-to anharmonic interactions. This method has already been successfully applied to bound-state problems with both isotropic [1] and anisotropic [2] interactions, as well as low-energy scattering problems with short-range interactions [3].…”

Section: Introductionmentioning

confidence: 99%

Solving the Schrödinger Equation with Power Anharmonicity

Belyaev¹,

Babič²

2014

Preprint

View full text Add to dashboard Cite

We present an application of a nonstandard approximate method-the finite-rank approximation-to solving the time-independent Schrödinger equation for a bound-state problem. The method is illustrated on the example of a three-dimensional isotropic quantum anharmonic oscillator with additive cubic or quartic anharmonicity. Approximate energy eigenvalues are obtained and convergence of the method is discussed.

show abstract

Bibliography

Jaklovsky¹

1981

Preparation of Nuclear Targets

View full text Add to dashboard Cite

Calculation of low-energy pion—3He scattering

Cited by 6 publications

References 5 publications

A new method of description of three-particle Coulombic systems

A new method of description of three-particle Coulombic systems

Solving the Schrödinger Equation with Power Anharmonicity

Bibliography

Contact Info

Product

Resources

About