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Mapping of Composite Hadrons into Elementary Hadrons and Effective Hadronic Hamiltonians

✍ Scribed by D. Hadjimichef; G. Krein; S. Szpigel; J.S. Da Veiga

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
613 KB
Volume
268
Category
Article
ISSN
0003-4916

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✦ Synopsis

A mapping technique is used to derive in the context of constituent quark models effective Hamiltonians that involve explicit hadron degrees of freedom. The technique is based on the ideas of mapping between physical and ideal Fock spaces and shares similarities with the quasiparticle method of Weinberg. Starting with the Fock-space representation of singlehadron states, a change of representation is implemented by a unitary transformation such that composites are redescribed by elementary Bose and Fermi field operators in an extended Fock space. When the unitary transformation is applied to the microscopic quark Hamiltonian, effective, hermitian Hamiltonians with a clear physical interpretation are obtained. Applications and comparisons with other composite-particle formalisms of the recent literature are made using the nonrelativistic quark model.

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