University of Illinois Urbana-Champaign

An equation for meson states in the quark model and its application to a meson bootstrap

King, Lawrence Gray

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https://hdl.handle.net/2142/25733

Description

Title
An equation for meson states in the quark model and its application to a meson bootstrap
Author(s)
King, Lawrence Gray
Issue Date
1968
Doctoral Committee Chair(s)
Wyld, H.W.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • meson states
  • quark model
  • meson bootstrap
  • Bethe-Salpeter equation
Language
en
Abstract
"A differential equation for meson states is derived from the Bethe-Salpeter equation under the conditions of the quark model. The equation is shown to imply mass relations of the form K* 2 - P2 = K2 2 - 1£ • The equation is used to attempt bootstrap calculations of the vector and pseudo-scalar meson parameters in the quark model. A bootstrap is found for the SU 3 singlet states but shown not to be possible for either the octet states or the entire QQ §ystem. The potential is the Fourier transform of the sum of one meson exchange Feynman graphs, with a hard core radius ro introdu~ed as an adjustable parameter. With the choice ro::;: ·58 F, MQuark"""" 5.45 BeV, 0(= 2MQ fV/Sv= - .24, the self-consistent coupling constants gv2 ' Sp 2 imply in and out ""unmixed"" singlet masses that are equal and correct. With the 2 2 same Sv ' Sp , the hard core radius and are altered to produce 0-, 1- states at the 1£,13 masses. In addition to 1£, 13 and K, the s -wave states 11( 523 ), 11' (985), m('T85), cp( 1018), K* (896) are found, as well as excited states including the following: B(1018), Al (1230), A2(1401). Assuming the correct A2(13l0), the nonet structure K* (1393), f(1323), f'(1476) is found."
Type of Resource
text
Permalink
http://hdl.handle.net/2142/25733
Copyright and License Information
1968 Lawrence Gray King

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