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Title:An equation for meson states in the quark model and its application to a meson bootstrap
Author(s):King, Lawrence Gray
Doctoral Committee Chair(s):Wyld, H.W.
Department / Program:Physics
Discipline:Physics
Degree:Ph.D.
Genre:Dissertation
Subject(s):meson states
quark model
meson bootstrap
Bethe-Salpeter equation
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.
Issue Date:1968
Genre:Dissertation / Thesis
Type:Text
Language:English
URI:http://hdl.handle.net/2142/25733
Rights Information:1968 Lawrence Gray King
Date Available in IDEALS:2011-07-08
Identifier in Online Catalog:6082767


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