Analytic Matrix Elements and Gradients with Shifted Correlated Gaussians

Fedorov, D. V.

doi:10.1007/s00601-016-1183-0

Cited by 10 publications

(5 citation statements)

References 9 publications

(14 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where s i x . The matrix elements of the normalization, kinetic energy and potential energy are given in a recent compilation [19]. The light-quark energy V q = ε(x) − x/2 is shown in Fig.…”

Section: B Born-oppenheimer For Baryonsmentioning

confidence: 99%

Few-body quark dynamics for doubly heavy baryons and tetraquarks

2018

View full text Add to dashboard Cite

We discuss the adequate treatment of the three-and four-body dynamics for the quark model picture of double-charm baryons and tetraquarks. We stress that the variational and Born-Oppenheimer approximations give energies very close to the exact ones, while the diquark approximation might be somewhat misleading. The Hall-Post inequalities also provide very useful lower bounds that exclude the possibility of stable tetraquarks for some mass ratios and some color wave functions.

show abstract

Section: B Born-oppenheimer For Baryonsmentioning

confidence: 99%

Few-body quark dynamics for doubly heavy baryons and tetraquarks

2018

View full text Add to dashboard Cite

show abstract

“…, n (σ ) . One of the advantages of the correlated Gaussian method is that the matrix elements of the matrices N and H are analytic [13]. The cross terms are zero for all operators X except for the coupling operator W ,…”

Section: Correlated Gaussian Methods For Coupled Few-body Systemsmentioning

confidence: 99%

“…6.3 for a transformation to the center-of-mass frame). Now the matrix element in (33) between two Gaussians is given as [13],…”

Section: Charge Radiusmentioning

confidence: 99%

A Nuclear Model with Explicit Mesons

Fedorov

2020

Few-Body Syst

Self Cite

View full text Add to dashboard Cite

A nuclear model is proposed where the nucleons interact by emitting and absorbing mesons, and where the mesons are treated explicitly. A nucleus in this model finds itself in a quantum superposition of states with different number of mesons. Transitions between these states hold the nucleus together. The model-in its simplest incarnation-is applied to the deuteron, where the latter becomes a superposition of a neutron-proton state and a neutron-proton-meson state. Coupling between these states leads to an effective attraction between the nucleons and results in a bound state with negative energy, the deuteron. The model is able to reproduce the accepted values for the binding energy and the charge radius of the deuteron. The model, should it work in practice, has several potential advantages over the existing non-relativistic few-body nuclear models: the reduced number of model parameters, natural inclusion of few-body forces, and natural inclusion of mesonic physics.

show abstract

“…The matrix elements of interest are obtained by standard techniques of Gaussian integration [9,10]. If a pair corresponds to a separation (10) where…”

Section: Let Us Start With the One-body Hamiltonian In Three Dimensionsmentioning

confidence: 99%

Effect of relativistic kinematics on the stability of multiquarks

Richard,

Valcarce,

Vijande

2021

Preprint

View full text Add to dashboard Cite

We discuss whether the bound nature of multiquark states in quark models could benefit from relativistic effects on the kinetic energy operator. For mesons and baryons, relativistic corrections to the kinetic energy lead to lower energies, and thus call for a retuning of the parameters of the model. For multiquark states, as well as their respective thresholds, a comparison is made of the results obtained with non-relativistic and relativistic kinetic energy. It is found that the binding energy is lower in the relativistic case. In particular, QQq q tetraquarks with double heavy flavor become stable for a larger ratio of the heavy to light quark masses; and the all-heavy tetraquarks QQ Q Q that are not stable in standard non-relativistic quark models remain unstable when a relativistic form of kinetic energy is adopted.

show abstract

Analytic Matrix Elements and Gradients with Shifted Correlated Gaussians

Abstract: Matrix elements between shifted correlated Gaussians of various potentials with several formfactors are calculated analytically. Analytic matrix elements are of importance for the correlated Gaussian method in quantum few-body physics.

Cited by 10 publications

References 9 publications

Few-body quark dynamics for doubly heavy baryons and tetraquarks

Few-body quark dynamics for doubly heavy baryons and tetraquarks

A Nuclear Model with Explicit Mesons

Effect of relativistic kinematics on the stability of multiquarks

Contact Info

Product

Resources

About