Scattering cluster wave functions on the lattice using the adiabatic projection method

Alexander Rokash; Michelle Pine; Serdar Elhatisari; Dean Lee; Evgeny Epelbaum; Hermann Krebs

Scattering cluster wave functions on the lattice using the adiabatic projection method

Alexander Rokash
, Michelle Pine
, Serdar Elhatisari
, Dean Lee
, Evgeny Epelbaum
, Hermann Krebs

Research output: Contribution to journal › Conference article › peer-review

Abstract

The adiabatic projection method is a general framework for obtaining a low-energy effective Hamiltonian for clusters. Previous studies have used the adiabatic projection method in combination with the finite-volume energy Lüscher's method to extract scattering phase shifts. We discuss several methods to calculate elastic phase shifts directly from asymptotic cluster wave functions obtained from the effective cluster Hamiltonian for examples in one and three dimensions. This approach is less sensitive than the finite-volume energy Lüscher method to stochastic and systematic errors which appear in the application of the adiabatic projection method.

Original language	English
Article number	117
Journal	Proceedings of Science
Volume	29-June-2015
State	Published - 2015
Externally published	Yes
Event	8th International Workshop on Chiral Dynamics, CD 2015 - Pisa, Italy Duration: 29 Jun 2015 → 3 Jul 2015

ASJC Scopus subject areas

General

Cite this

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title = "Scattering cluster wave functions on the lattice using the adiabatic projection method",

abstract = "The adiabatic projection method is a general framework for obtaining a low-energy effective Hamiltonian for clusters. Previous studies have used the adiabatic projection method in combination with the finite-volume energy L{\"u}scher's method to extract scattering phase shifts. We discuss several methods to calculate elastic phase shifts directly from asymptotic cluster wave functions obtained from the effective cluster Hamiltonian for examples in one and three dimensions. This approach is less sensitive than the finite-volume energy L{\"u}scher method to stochastic and systematic errors which appear in the application of the adiabatic projection method.",

author = "Alexander Rokash and Michelle Pine and Serdar Elhatisari and Dean Lee and Evgeny Epelbaum and Hermann Krebs",

year = "2015",

language = "English",

volume = "29-June-2015",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

note = "8th International Workshop on Chiral Dynamics, CD 2015 ; Conference date: 29-06-2015 Through 03-07-2015",

}

TY - JOUR

T1 - Scattering cluster wave functions on the lattice using the adiabatic projection method

AU - Rokash, Alexander

AU - Pine, Michelle

AU - Elhatisari, Serdar

AU - Lee, Dean

AU - Epelbaum, Evgeny

AU - Krebs, Hermann

PY - 2015

Y1 - 2015

N2 - The adiabatic projection method is a general framework for obtaining a low-energy effective Hamiltonian for clusters. Previous studies have used the adiabatic projection method in combination with the finite-volume energy Lüscher's method to extract scattering phase shifts. We discuss several methods to calculate elastic phase shifts directly from asymptotic cluster wave functions obtained from the effective cluster Hamiltonian for examples in one and three dimensions. This approach is less sensitive than the finite-volume energy Lüscher method to stochastic and systematic errors which appear in the application of the adiabatic projection method.

AB - The adiabatic projection method is a general framework for obtaining a low-energy effective Hamiltonian for clusters. Previous studies have used the adiabatic projection method in combination with the finite-volume energy Lüscher's method to extract scattering phase shifts. We discuss several methods to calculate elastic phase shifts directly from asymptotic cluster wave functions obtained from the effective cluster Hamiltonian for examples in one and three dimensions. This approach is less sensitive than the finite-volume energy Lüscher method to stochastic and systematic errors which appear in the application of the adiabatic projection method.

UR - https://www.scopus.com/pages/publications/84988693263

M3 - Conference article

AN - SCOPUS:84988693263

SN - 1824-8039

VL - 29-June-2015

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 117

T2 - 8th International Workshop on Chiral Dynamics, CD 2015

Y2 - 29 June 2015 through 3 July 2015

ER -

Scattering cluster wave functions on the lattice using the adiabatic projection method

Abstract

ASJC Scopus subject areas

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