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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 BetheSalpeter equation 
Abstract:  A differential equation for meson states is derived from the BetheSalpeter 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 pseudoscalar 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 selfconsistent 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:  20110708 
Identifier in Online Catalog:  6082767 
This item appears in the following Collection(s)

Dissertations and Theses  Physics
Dissertations in Physics 
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois