Publications (51)
- Glueball Spectrum within a Constituent Picture
F. Buisseret, V. Mathieu, C. Semay
The quantum numbers and mass hierarchy of the glueballs observed in -dimensional lattice QCD with gauge group SU() are shown to be in agreement with a constituent pictu…
Baryon spectra with instanton induced forces
B. Silvestre-Brac, F. Brau, C. Semay
Except the vibrational excitations of and mesons, the main features of spectra of mesons composed of quarks , , and can be quite well described by a semirelativ…
Glueballs and the Yang-Mills plasma in a -matrix approach
G. Lacroix, C. Semay, D. Cabrera +1
The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a -matrix approach. The existence of lowest-lying glueballs, interpreted as bound states…
Pentaquarks in the Jaffe-Wilczek approximation
I. M. Narodetskii, C. Semay, B. Silvestre-Brac +2
The masses of , and pentaquarks are evaluated in a framework of both the Effective Hamiltonian approach to QCD and spinless Salpeter using th…
Boson star with particle size effects
C. Semay
A simple model to study boson stars is to consider these stellar objects as quantum systems of identical self-gravitating particles within a non-relativistic framework. Some re…
Casimir scaling in glueballs in SU() and Sp() gauge theories: hints from constituent approaches
F. Buisseret, C. Chevalier, V. Mathieu +1
We show that the lattice glueball masses versus in SU() and Sp() Yang-Mills theories scale as , with t…
Semirelativistic potential model for three-gluon glueballs
V. Mathieu, C. Semay, B. Silvestre-Brac
The three-gluon glueball states are studied with the generalization of a semirelativistic potential model giving good results for two-gluon glueballs. The Hamiltonian depends only…
Effective potential between two gluons from the scalar glueball
F. Buisseret, C. Semay
Starting from the glueball mass and wave function computed from lattice QCD, we compute the local potential between two constituent gluons. Since the properties of constit…
Bound cyclic systems with the envelope theory
C. Semay, F. Buisseret
Approximate but reliable solutions of a quantum system with identical particles can be easily computed with the envelope theory, also known as the auxiliary field method. This…
A semiclassical model of light mesons
F. Brau, C. Semay, B. Silvestre-Brac
The dominantly orbital state description is applied to the study of light mesons. The effective Hamiltonian is characterized by a relativistic kinematics supplemented by the usual…
Towers of hybrid mesons
C. Semay, F. Buisseret, B. Silvestre-Brac
A hybrid meson is a quark-antiquark pair in which, contrary to ordinary mesons, the gluon field is in an excited state. In the framework of constituent models, the interaction pote…
Pentaquarks with One Color Sextet Diquark
C. Semay, F. Brau, B. Silvestre-Brac
The masses of pentaquarks are calculated within the framework of a semirelativistic effective QCD Hamiltonian, using a diquark picture. This approximation allows a cor…
Baryonic mass formula in large QCD versus quark model
C. Semay, F. Buisseret, N. Matagne +1
We establish a connection between the quark model results and the expansion mass formula used in the description of baryon resonances. We show that a remarkable compatibili…
Pentaquarks in string dynamics
I. M. Narodetskii, C. Semay, B. Silvestre-Brac +1
The masses of , , and pentaquarks are evaluated in a framework of both the Effective Hamiltonian approach to QCD and spinless Salpeter using t…
Accuracy of Auxiliary Field Approach for Baryons
I. M. Narodetskii, C. Semay, A. I. Veselov
We provide a check of the accuracy of the auxiliary field formalism used to derive the Effective Hamiltonian for baryons in the Field Correlator Method. To this end we compare the…
Approximate solutions for N-body Hamiltonians with identical particles in D dimensions
C. Semay, C. Roland
A method based on the envelope theory is presented to compute approximate solutions for -body Hamiltonians with identical particles in dimensions (). In some favorab…
Equation of motion of an interstellar Bussard ramjet with radiation and mass losses
C. Semay, B. Silvestre-Brac
An interstellar Bussard ramjet is a spaceship using the protons of the interstellar medium in a fusion engine to produce thrust. In recent papers, it was shown that the relativisti…
Bound state equivalent potentials with the Lagrange mesh method
F. Buisseret, C. Semay
The Lagrange mesh method is a very simple procedure to accurately solve eigenvalue problems starting from a given nonrelativistic or semirelativistic two-body Hamiltonian with loca…
Relativistic corrections for two- and three-body flux tube model
F. Buisseret, C. Semay
We generalize the relativistic flux tube model for arbitrary two- or three-body systems. The spin-independent and spin-dependent contributions of the flux tube to the total Hamilto…
Quantum three body problems using harmonic oscillator bases with different sizes
B. Silvestre-Brac, R. Bonnaz, C. Semay +1
We propose a new treatment for the quantum three-body problem. It is based on an expansion of the wave function on harmonic oscillator functions with different sizes in the Jacobi…
A unified meson-baryon potential
F. Brau, C. Semay, B. Silvestre-Brac
We study the spectra of mesons and baryons, composed of light quarks, in the framework of a semirelativistic potential model including instanton induced forces. We show how a simpl…
The 3-dimensional Fourier grid Hamiltonian method
F. Brau, C. Semay
A method to compute the bound state eigenvalues and eigenfunctions of a Schrödinger equation or a spinless Salpeter equation with central interaction is presented. This method is…
Some equivalences between the auxiliary field method and the envelope theory
F. Buisseret, C. Semay, B. Silvestre-Brac
The auxiliary field method has been recently proposed as an efficient technique to compute analytical approximate solutions of eigenequations in quantum mechanics. We show that the…
The B_c Meson Lifetime in the Light--Front Constituent Quark Model
A. Yu. Anisimov, I. M. Narodetskii, C. Semay +1
We present an investigation of the total decay rate of the (ground state) B_c meson within the framework of the relativistic constituent quark model formulated on the light-front (…
The Glueball Spectrum from Constituent Models
V. Mathieu, F. Buisseret, C. Semay +1
We present a model for odd- (negative charge parity) glueballs with three constituent gluons. The model is an extension of a previous study of two-gluon glueballs. We show that,…
Light and heavy baryon masses: the 1/N_c expansion and the quark model
F. Buisseret, C. Semay, Fl. Stancu +1
We establish a connection between the quark model and the 1/N_c expansion mass formulas used in the description of baryon resonances. We show that a remarkable compatibility exists…
Mass formula for strange baryons in large QCD versus quark model
C. Semay, F. Buisseret, F. Stancu
A previous work establishing a connection between a quark model, with relativistic kinematics and a -confinement plus one gluon exchange, and the expansion mass formula…
Comment on `Glueball spectrum from a potential model'
F. Brau, C. Semay
In a recent article, W.-S. Hou and G.-G. Wong [Phys. Rev. D {\bf 67}, 034003 (2003)] have investigated the spectrum of two-gluon glueballs below 3 GeV in a potential model with a d…
Lagrange mesh, relativistic flux tube, and rotating string
F. Buisseret, C. Semay
The Lagrange mesh method is a very accurate and simple procedure to compute eigenvalues and eigenfunctions of nonrelativistic and semirelativistic Hamiltonians. We show here that i…
A mass formula for light mesons from a potential model
F. Brau, C. Semay
The quark dynamics inside light mesons, except pseudoscalar ones, can be quite well described by a spinless Salpeter equation supplemented by a Cornell interaction (possibly partly…
Gluons in glueballs: Spin or helicity?
V. Mathieu, F. Buisseret, C. Semay
In the last decade, lattice QCD has been able to compute the low-lying glueball spectrum with accuracy. Like other effective approaches of QCD, potential models still have difficul…
Further developments for the auxiliary field method
C. Semay, F. Buisseret, B. Silvestre-Brac
The auxiliary field method is a technique to obtain approximate closed formulae for the solutions of both nonrelativistic and semirelativistic eigenequations in quantum mechanics.…
Comparative analysis of large Nc QCD and quark model approaches to baryons
F. Buisseret, C. Semay, Fl. Stancu +1
We show that a remarkable compatibility exists between the results of a potential model with constituent quarks and the 1/Nc expansion mass formula for strange and nonstrange baryo…
Constituent gluon interpretation of glueballs and gluelumps
N. Boulanger, F. Buisseret, V. Mathieu +1
Arguments are given that support the interpretation of the lattice QCD glueball and gluelump spectra in terms of bound states of massless constituent gluons with helicity-1. In thi…
Semirelativistic potential model for glueball states
F. Brau, C. Semay, B. Silvestre-Brac
The masses of two-gluon glueballs are studied with a semirelativistic potential model whose interaction is a scalar linear confinement supplemented by a one-gluon exchange mechanis…
Quasi Kepler's third law for quantum many-body systems
C. Semay, C. T. Willemyns
The Kepler's third law is a relation between the period and the energy of two classical particles interacting via a gravitational potential. Recent works showed that this law could…
Envelope Theory for Systems with Different Particles
C. Semay, L. Cimino, C. Willemyns
The eigensolutions of many-body quantum systems are always difficult to compute. The envelope theory is a method to easily obtain approximate, but reliable, solutions in the case o…
The SUSY Yang-Mills plasma in a -matrix approach
G. Lacroix, C. Semay, F. Buisseret
The thermodynamic properties of supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bo…
Electromagnetic splitting for mesons and baryons using dressed constituent quarks
B. Silvestre-Brac, F. Brau, C. Semay
Electromagnetic splittings for mesons and baryons are calculated in a formalism where the constituent quarks are considered as dressed quasiparticles. The electromagnetic interacti…
Quark self-energy and relativistic flux tube model
F. Buisseret, C. Semay
The contribution of the quark self energy to the meson masses is studied in the framework of the relativistic flux tube model. The equivalence between this phenomenological model a…
Retardation effects in the rotating string model
F. Buisseret, C. Semay
A new method to study the retardation effects in mesons is presented. Inspired from the covariant oscillator quark model, it is applied to the rotating string model in which a non…
Relevance of glueball bound states in the Yang-Mills plasma within a many-body -matrix approach
D. Cabrera, G. Lacroix, C. Semay +1
The strongly coupled phase of Yang-Mills plasma with gauge group SU(3) is studied in a -matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of…
Charm and bottom baryon masses in the combined and expansion versus quark model
C. Semay, F. Buisseret, F. Stancu
A good agreement between a flux tube-based quark model of light baryons (strange and nonstrange) and the expansion mass formula has been found in previous studies. In the p…
String deformations induced by retardation effects
F. Buisseret, V. Mathieu, C. Semay
The rotating string model is an effective model of mesons, in which the quark and the antiquark are linked by a straight string. We previously developed a new framework to include…
Accurate polynomial interpolations of special functions
C. Semay
Provided a special function of one variable and some of its derivatives can be accurately computed over a finite range, a method is presented to build a series of polynomial approx…
Many-quark interactions: Large- scaling and contribution to baryon masses
F. Buisseret, C. Semay, C. T. Willemyns
Starting from an effective Hamiltonian modelling a baryon made of identical quarks in the large- approach of QCD, we obtain analytical formulas allowing to estimate the cont…
Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
F. Buisseret, C. Semay
Gauge theories with gauge group and quarks belonging to arbitrary representations of form a rich landscape of QCD-like theories, whose study can shed new light on t…
Excited flux tube from hybrid mesons
F. Buisseret, V. Mathieu, C. Semay +1
In the framework of quark models, hybrid mesons are either seen as two-body systems with an excited flux tube connecting the quark to the antiquark or as three-body $q\ba…
Semirelativistic potential model for low-lying three-gluon glueballs
V. Mathieu, C. Semay, B. Silvestre-Brac
The three-gluon glueball states are studied with the generalization of a semirelativistic potential model giving good results for two-gluon glueballs. The Hamiltonian depends only…
Lagrange-mesh calculations in momentum space
G. Lacroix, C. Semay, F. Buisseret
The Lagrange-mesh method is a powerful method to solve eigenequations written in configuration space. It is very easy to implement and very accurate. Using a Gauss quadrature rule,…
Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
B. Silvestre-Brac, C. Semay, F. Buisseret
We propose a new method to obtain approximate solutions for the Schrödinger equation with an arbitrary potential that possesses bound states. This method, relying on the auxiliary…