Asymptotic behavior of the wave function of three particles in a continuum

Standard

Asymptotic behavior of the wave function of three particles in a continuum. / Yakovlev, S.L.

In: Theoretical and Mathematical Physics, Vol. 186, No. 1, 2016, p. 126-135.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{4411857aa2c74e7f90d57e101a1e7925,

title = "Asymptotic behavior of the wave function of three particles in a continuum",

abstract = "We study the wave function of a system of three particles in a continuum. The Faddeev equations are used to explicitly identify the singularities of the wave function in the momentum space. We obtain the asymptotic behavior of the wave function in the configuration space by calculating the asymptotic behavior of the Fourier transform of the wave function in the momentum space. Our attention is focused on configurations in which two particles are at a relatively small distance from each other while the third particle is significantly remote from the center of mass of the pair. We show that the coordinate asymptotic form of the wave function for such a configuration contains scattered waves of a new type in addition to the standard terms. We use the obtained exact data concerning the coordinate asymptotic form of the wave function to critically analyze the multiplicative ansatz used in several works to describe systems of three particles in a continuum.",

keywords = "three-particle scattering, single rescattering, double rescattering, asymptotic behavior of thethree-particle wave function in the two-particle sector",

author = "S.L. Yakovlev",

year = "2016",

doi = "10.1134/S0040577916010116",

language = "English",

volume = "186",

pages = "126--135",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of the wave function of three particles in a continuum

AU - Yakovlev, S.L.

PY - 2016

Y1 - 2016

N2 - We study the wave function of a system of three particles in a continuum. The Faddeev equations are used to explicitly identify the singularities of the wave function in the momentum space. We obtain the asymptotic behavior of the wave function in the configuration space by calculating the asymptotic behavior of the Fourier transform of the wave function in the momentum space. Our attention is focused on configurations in which two particles are at a relatively small distance from each other while the third particle is significantly remote from the center of mass of the pair. We show that the coordinate asymptotic form of the wave function for such a configuration contains scattered waves of a new type in addition to the standard terms. We use the obtained exact data concerning the coordinate asymptotic form of the wave function to critically analyze the multiplicative ansatz used in several works to describe systems of three particles in a continuum.

AB - We study the wave function of a system of three particles in a continuum. The Faddeev equations are used to explicitly identify the singularities of the wave function in the momentum space. We obtain the asymptotic behavior of the wave function in the configuration space by calculating the asymptotic behavior of the Fourier transform of the wave function in the momentum space. Our attention is focused on configurations in which two particles are at a relatively small distance from each other while the third particle is significantly remote from the center of mass of the pair. We show that the coordinate asymptotic form of the wave function for such a configuration contains scattered waves of a new type in addition to the standard terms. We use the obtained exact data concerning the coordinate asymptotic form of the wave function to critically analyze the multiplicative ansatz used in several works to describe systems of three particles in a continuum.

KW - three-particle scattering

KW - single rescattering

KW - double rescattering

KW - asymptotic behavior of thethree-particle wave function in the two-particle sector

U2 - 10.1134/S0040577916010116

DO - 10.1134/S0040577916010116

M3 - Article

VL - 186

SP - 126

EP - 135

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 7551046