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Title: Two-photon decays of hadronic molecules

Abstract

In many calculations of the two-photon decay of hadronic molecules, the decay matrix element is estimated using the wave function at the origin prescription, in analogy to the two-photon decay of parapositronium. We question the applicability of this procedure to the two-photon decay of hadronic molecules for it introduces an uncontrolled model dependence into the calculation. As an alternative approach, we propose an explicit evaluation of the hadron loop. For shallow bound states, this can be done as an expansion in powers of the range of the molecule binding force 1/{beta}. In the leading order one gets the well-known pointlike limit answer. We estimate, in a self-consistent and gauge-invariant way, the leading range corrections for the two-photon decay width of weakly bound hadronic molecules emerging from kaon loops. We find them to be small, of order O(m{epsilon}/{beta}{sup 2}), where m and {epsilon} denote the mass of the constituents and the binding energy, respectively. The role of possible short-ranged operators and of the width of the scalars remains to be investigated.

Authors:
 [1]; ; ;  [2]
  1. Institut fuer Kernphysik, Forschungszentrum Juelich GmbH, D-52425 Juelich (Germany)
  2. Institute of Theoretical and Experimental Physics, 117218, B. Cheremushkinskaya 25, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21020275
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.074015; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BINDING ENERGY; BOUND STATE; CORRECTIONS; D S MESONS; FEYNMAN DIAGRAM; GAUGE INVARIANCE; KAONS; MATRIX ELEMENTS; PARTICLE DECAY; PARTICLE WIDTHS; PHOTONS; SCALARS; WAVE FUNCTIONS

Citation Formats

Hanhart, C., Kalashnikova, Yu. S., Kudryavtsev, A. E., and Nefediev, A. V. Two-photon decays of hadronic molecules. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.074015.
Hanhart, C., Kalashnikova, Yu. S., Kudryavtsev, A. E., & Nefediev, A. V. Two-photon decays of hadronic molecules. United States. doi:10.1103/PHYSREVD.75.074015.
Hanhart, C., Kalashnikova, Yu. S., Kudryavtsev, A. E., and Nefediev, A. V. Sun . "Two-photon decays of hadronic molecules". United States. doi:10.1103/PHYSREVD.75.074015.
@article{osti_21020275,
title = {Two-photon decays of hadronic molecules},
author = {Hanhart, C. and Kalashnikova, Yu. S. and Kudryavtsev, A. E. and Nefediev, A. V.},
abstractNote = {In many calculations of the two-photon decay of hadronic molecules, the decay matrix element is estimated using the wave function at the origin prescription, in analogy to the two-photon decay of parapositronium. We question the applicability of this procedure to the two-photon decay of hadronic molecules for it introduces an uncontrolled model dependence into the calculation. As an alternative approach, we propose an explicit evaluation of the hadron loop. For shallow bound states, this can be done as an expansion in powers of the range of the molecule binding force 1/{beta}. In the leading order one gets the well-known pointlike limit answer. We estimate, in a self-consistent and gauge-invariant way, the leading range corrections for the two-photon decay width of weakly bound hadronic molecules emerging from kaon loops. We find them to be small, of order O(m{epsilon}/{beta}{sup 2}), where m and {epsilon} denote the mass of the constituents and the binding energy, respectively. The role of possible short-ranged operators and of the width of the scalars remains to be investigated.},
doi = {10.1103/PHYSREVD.75.074015},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}