A framework for the calculation of the ΔNγ* transition form factors on the lattice

被引：63

作者：

Agadjanov, Andria ^{[1
,2
,3
]}

Bernard, Veronique ^{[4
]}

Meissner, Ulf-G. ^{[1
,2
,5
,6
]}

Rusetsky, Akaki ^{[1
,2
]}

机构：

[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany

[2] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[3] St Andrew First Called Georgian Univ Patriarchate, GE-0162 Tbilisi, Georgia

[4] Univ Paris 11, CNRS, UMR 8608, Inst Phys Nucl, F-91406 Orsay, France

[5] Forschungszentrum Julich, Inst Kernphys IKP 3, Inst Adv Simulat IAS 4, D-52425 Julich, Germany

[6] Forschungszentrum Julich, Julich Ctr Hadron Phys, D-52425 Julich, Germany

来源：

NUCLEAR PHYSICS B | 2014年 / 886卷

基金：

美国国家科学基金会;

关键词：

FINITE-VOLUME; PHASE-SHIFTS; SCATTERING; NUCLEON; STATES;

D O I：

10.1016/j.nuclphysb.2014.07.023

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Using the non-relativistic effective field theory framework in a finite volume, we discuss the extraction of the Delta N gamma* transition form factors from lattice data. A counterpart of the Luscher approach for the matrix elements of unstable states is formulated. In particular, we thoroughly discuss various kinematic settings, which are used in the calculation of the above matrix element on the lattice. The emerging Luscher-Lellouch factor and the analytic continuation of the matrix elements into the complex plane are also considered in detail. A full group-theoretical analysis of the problem is made, including the partial-wave mixing and projecting out the invariant form factors from data. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).

引用

页码：1199 / 1222

页数：24

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