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RESEARCH PRODUCT
Mapping of Composite Hadrons into Elementary Hadrons and Effective Hadronic Hamiltonians
Sergio SzpigelD. HadjimichefGastão KreinJ.s. Da Veigasubject
High Energy Physics - TheoryPhysicsQuarkParticle physicsNuclear TheoryHigh Energy Physics::PhenomenologyNuclear TheoryHadronQuark modelFOS: Physical sciencesGeneral Physics and AstronomyConstituent quarkUnitary transformationHermitian matrixFock spaceNuclear Theory (nucl-th)High Energy Physics - PhenomenologyTheoretical physicssymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)symbolsHamiltonian (quantum mechanics)description
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 single-hadron 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-05-26 | Annals of Physics |