Four quarks from lattice to the continuum

Pennanen, P.

doi:10.1016/s0920-5632(96)00653-6

Nuclear Physics B - Proceedings Supplements

1997

DOI: 10.1016/s0920-5632(96)00653-6

|View full text |Cite

Four quarks from lattice to the continuum

P. Pennanen

Abstract: A continuum extrapolation of static four-and two-quark energies calculated in quenched SU(2) is done based on Sommer's method of setting the scale. A model for four-quark energies with explicit gluonic degrees of freedom removed is fitted to these energies and the behavior of the parameters of the model is investigated.

Help me understand this report

View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2012

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 11 publications

(13 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The arguments for continuum limits being achieved before extracting E i are given in ref. [17].The M i in eq. (1) are obtained by subtracting the energy of two separated qq clusters from the eigenvalues of a matrix obtained through a model of the qqqq system.…”

mentioning

confidence: 99%

Dynamical implications of gluonic excitations in meson-meson systems

Akbar¹,

Masud²

2012

Eur. Phys. J. A

View full text Add to dashboard Cite

We study meson-meson interactions using an extended q 2q2 (g) basis that allows calculating coupling of an ordinary meson-meson system to a hybrid-hybrid one. We use a potential model matrix in this extended basis which at quark level is known to provide a good fit to numerical simulations of a q 2q2 system in pure gluonic theory for static quarks in a selection of geometries. We use a combination of resonating group method formalism and Born approximation to include the quark motion using wave functions of a qq potential within a cluster. This potential is taken to be quadratic for ground states and has an additional smeared 1 r (Gaussian) for the matrix elements between hybrid mesons. For the parameters of this potential, we use values chosen to 1) minimize the error resulting from our use of a quadratic potential and 2) best fit the lattice data for differences of Σg and Πu configurations of the gluonic field between a quark and an antiquark. At the quark (static) level, including the gluonic excitations was noted to partially replace the need for introducing many-body terms in a multi-quark potential. We study how successful such a replacement is at the (dynamical) hadronic level of relevance to actual hard experiments. Thus we study effects of both gluonic excitations and many-body terms on mesonic transition amplitudes and the energy shifts resulting from the second order perturbation theory (i.e. from the respective hadron loops). The study suggests introducing both energy and orbital excitations in wave functions of scalar mesons that are modelled as meson-meson molecules or are supposed to have a meson-meson component in their wave functions.

show abstract

mentioning

confidence: 99%

Dynamical implications of gluonic excitations in meson-meson systems

Akbar¹,

Masud²

2012

Eur. Phys. J. A

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Four quarks from lattice to the continuum

Cited by 1 publication

References 11 publications

Dynamical implications of gluonic excitations in meson-meson systems

Dynamical implications of gluonic excitations in meson-meson systems

Contact Info

Product

Resources

About