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Decay {ital D}{sup 0}{r_arrow}{ital {bar K}}{asterisk}{sup 0}{pi}{sup {minus}}{ital e}{sup +}{nu}{sub {ital e}} in the context of chiral perturbation theory

Journal Article · · Physical Review, D
 [1]
  1. California Institute of Technology, Pasadena, California 91125 (United States)

We study the decay {ital D}{sup 0}{r_arrow}{ital {bar K}}{asterisk}{sup 0}{pi}{sup {minus}}{ital e}{sup +}{nu}{sub {ital e}}, using SU(2){sub {ital L}}{circle_times}SU(2){sub {ital R}} chiral perturbation theory for heavy charmed mesons and vector mesons, in the kinematic regime where {ital p}{sub {ital M}}{center_dot}{ital p}{sub {pi}}/{ital m}{sub {ital M}} (here {ital M}={ital D}{sup 0} or {ital {bar K}}{asterisk}{sup 0}) is much smaller than the chiral symmetry-breaking scale {Lambda}{sub {chi}SB} ({Lambda}{sub {chi}SB}{approximately}1 GeV). We present the leading diagrams and amplitude, and calculate the rate, in the region where, to leading order in our calculations, the {ital {bar K}}{asterisk}{sup 0} is at zero recoil in the {ital D}{sup 0} rest frame. The rate thus calculated is given in terms of a known form factor and depends on the {ital DD}{asterisk}{pi} coupling constant {ital g}{sub {ital D}} of the heavy (charmed) meson chiral perturbation theory Lagrangian. A measurement of the above decay, in the aforementioned kinematic regime, can result in the extraction of an experimental value for {ital g}{sub {ital D}}, accurate at the level of our approximations, and gives us a measure of the validity of approaches based on chiral perturbation theory in studying similar processes. {copyright} {ital 1996 The American Physical Society.}

Research Organization:
California Institute of Technology
DOE Contract Number:
FG03-92ER40701
OSTI ID:
397755
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English