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

"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."

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• King, Lawrence Gray

Contributors dc:contributor

• Wyld, H.W.

• meson states
• quark model
• meson bootstrap
• Bethe-Salpeter equation

Statement dc:rights

• 1968 Lawrence Gray King

Language dc:language

en

Identifier

6082767

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/25733