Couplings in coupled channels versus wave functions: Application to the X(3872) resonance
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Couplings in coupled channels versus wave functions: Application to the X(3872) resonance

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Couplings in coupled channels versus wave functions: Application to the X(3872) resonance

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dc.contributor.author Gamermann, D.
dc.contributor.author Nieves Pamplona, Juan Miguel
dc.contributor.author Oset Báguena, Eulogio
dc.contributor.author Ruiz Arriola, Enrique
dc.date.accessioned 2014-10-24T07:40:58Z
dc.date.available 2014-10-24T07:40:58Z
dc.date.issued 2010
dc.identifier.uri http://hdl.handle.net/10550/39329
dc.description.abstract We perform an analytical study of the scattering matrix and bound states in problems with many physical coupled channels. We establish the relationship of the couplings of the states to the different channels, obtained from the residues of the scattering matrix at the poles, with the wave functions for the different channels. The couplings basically reflect the value of the wave functions around the origin in coordinate space. In the concrete case of the X(3872) resonance, understood as a bound state of D-0(D) over bar*(0) and D+D*(-) (and c.c. From now on, when we refer to D-0(D) over bar*(0), D+D*(-), or D (D) over bar* we are actually referring to the combination of these states with their complex conjugate in order to form a state with positive C-parity), with the D-0(D) over bar*(0) loosely bound, we find that the couplings to the two channels are essentially equal leading to a state of good isospin I = 0 character. This is in spite of having a probability for finding the D-0(D) over bar*(0) state much larger than for D+D*(-) since the loosely bound channel extends further in space. The analytical results, obtained with exact solutions of the Schrodinger equation for the wave functions, can be useful in general to interpret results found numerically in the study of problems with unitary coupled channels methods.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 2010, vol. 81, num. 1, p. 014029
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Gamermann, D. Nieves Pamplona, Juan Miguel Oset Báguena, Eulogio Ruiz Arriola, Enrique 2010 Couplings in coupled channels versus wave functions: Application to the X(3872) resonance Physical Review D 81 1 014029
dc.subject Física
dc.title Couplings in coupled channels versus wave functions: Application to the X(3872) resonance
dc.type info:eu-repo/semantics/article
dc.date.updated 2014-10-24T07:40:58Z
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.81.014029
dc.identifier.idgrec 061765

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