H. Sazdjian | Paris Sud XI University (original) (raw)
Papers by H. Sazdjian
EPJ Web of Conferences
Two particles interacting by photon exchange, form the bound states predicted by the non-relativi... more Two particles interacting by photon exchange, form the bound states predicted by the non-relativistic Schrödinger equation with the Coulomb potential (Balmer series). More than 60 years ago, in the solutions of relativistic Bethe-Salpeter equation, in addition to the Balmer series, were found another series of energy levels. These new series, appearing when the fine structure constant α is large enough (α > π/4), are not predicted by the Schrödinger equation. However, this new (non-Balmer) states can hardly exist in nature, since in order to create a strong e.m. field with α > π/4 a point-like charge Z > 107 is needed. The nuclei having this charge, though exist starting with bohrium, are far from to be point-like. In the present paper, we analyze the more realistic case of a strong interaction created by exchange of a massive particle. It turns out that in the framework of the Bethe-Salpeter equation this interaction still generates a series of new relativistic states, whi...
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AIP Conference Proceedings, 2006
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Nuovo Cimento Della Societa Italiana Di Fisica A-nuclei Particles and Fields, 1972
Summary The hypothesis of universal light-cone behaviour of current commutators formulated previ... more Summary The hypothesis of universal light-cone behaviour of current commutators formulated previously is applied to the deep inelastic neutrino-nucleon scattering. It is shown that it yields the scaling laws of the parton model and, provided the nonleading light-cone singularities are of certain type, it reproduces the current algebra sum rules for the scaling functions. One new sum rule is obtained relating
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Nuclear Physics B - Proceedings Supplements, 2000
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Physical Review D, 1986
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Europhysics Letters (EPL), 1988
Supersymmetric models, satisfying the superalgebras S(2) and S(1), are displayed in the framework... more Supersymmetric models, satisfying the superalgebras S(2) and S(1), are displayed in the framework of Poincaré invariant two-particle quantum mechanics. They occur in fermion-antifermion and fermion-boson systems. Supersymmetry is left unbroken in these models.
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Nuclear and Particle Physics Proceedings, 2016
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Frontiers of Physics, 2015
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International Journal of Modern Physics A, 1996
A positronium-like system with strong Coulomb coupling, considered in its pseudoscalar sector, is... more A positronium-like system with strong Coulomb coupling, considered in its pseudoscalar sector, is studied in the framework of relativistic quantum constraint dynamics with the Todorov choice for the potential. Case's method of self-adjoint extension of singular potentials, which avoids explicit introduction of regularization cut-offs, is adopted. It is found that, as the coupling constant alpha increases, the bound state spectrum undergoes an abrupt change at the critical value alpha=alphac=1/2. For alpha>alphac, the mass spectrum displays, in addition to the existing states for alpha<alphac, a new set of an infinite number of bound states concentrated in a narrow band starting at mass W=0; all the states have indefinitely oscillating wave functions near the origin. In the limit alpha-->alphac from above, the oscillations disappear and the narrow band of low-lying states shrinks to a single massless state with a mass gap with the rest of the spectrum. This state has the required properties to represent a Goldstone boson and to signal spontaneous breakdown of chiral symmetry.
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International Journal of Modern Physics A, 1994
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Physics Letters B, 1991
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Nuclear Physics B, 1973
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Il Nuovo Cimento A, 1972
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EPJ Web of Conferences
Two particles interacting by photon exchange, form the bound states predicted by the non-relativi... more Two particles interacting by photon exchange, form the bound states predicted by the non-relativistic Schrödinger equation with the Coulomb potential (Balmer series). More than 60 years ago, in the solutions of relativistic Bethe-Salpeter equation, in addition to the Balmer series, were found another series of energy levels. These new series, appearing when the fine structure constant α is large enough (α > π/4), are not predicted by the Schrödinger equation. However, this new (non-Balmer) states can hardly exist in nature, since in order to create a strong e.m. field with α > π/4 a point-like charge Z > 107 is needed. The nuclei having this charge, though exist starting with bohrium, are far from to be point-like. In the present paper, we analyze the more realistic case of a strong interaction created by exchange of a massive particle. It turns out that in the framework of the Bethe-Salpeter equation this interaction still generates a series of new relativistic states, whi...
Bookmarks Related papers MentionsView impact
AIP Conference Proceedings, 2006
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Nuovo Cimento Della Societa Italiana Di Fisica A-nuclei Particles and Fields, 1972
Summary The hypothesis of universal light-cone behaviour of current commutators formulated previ... more Summary The hypothesis of universal light-cone behaviour of current commutators formulated previously is applied to the deep inelastic neutrino-nucleon scattering. It is shown that it yields the scaling laws of the parton model and, provided the nonleading light-cone singularities are of certain type, it reproduces the current algebra sum rules for the scaling functions. One new sum rule is obtained relating
Bookmarks Related papers MentionsView impact
Nuclear Physics B - Proceedings Supplements, 2000
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Physical Review D, 1986
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Europhysics Letters (EPL), 1988
Supersymmetric models, satisfying the superalgebras S(2) and S(1), are displayed in the framework... more Supersymmetric models, satisfying the superalgebras S(2) and S(1), are displayed in the framework of Poincaré invariant two-particle quantum mechanics. They occur in fermion-antifermion and fermion-boson systems. Supersymmetry is left unbroken in these models.
Bookmarks Related papers MentionsView impact
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Nuclear and Particle Physics Proceedings, 2016
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Frontiers of Physics, 2015
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International Journal of Modern Physics A, 1996
A positronium-like system with strong Coulomb coupling, considered in its pseudoscalar sector, is... more A positronium-like system with strong Coulomb coupling, considered in its pseudoscalar sector, is studied in the framework of relativistic quantum constraint dynamics with the Todorov choice for the potential. Case's method of self-adjoint extension of singular potentials, which avoids explicit introduction of regularization cut-offs, is adopted. It is found that, as the coupling constant alpha increases, the bound state spectrum undergoes an abrupt change at the critical value alpha=alphac=1/2. For alpha>alphac, the mass spectrum displays, in addition to the existing states for alpha<alphac, a new set of an infinite number of bound states concentrated in a narrow band starting at mass W=0; all the states have indefinitely oscillating wave functions near the origin. In the limit alpha-->alphac from above, the oscillations disappear and the narrow band of low-lying states shrinks to a single massless state with a mass gap with the rest of the spectrum. This state has the required properties to represent a Goldstone boson and to signal spontaneous breakdown of chiral symmetry.
Bookmarks Related papers MentionsView impact
International Journal of Modern Physics A, 1994
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Physics Letters B, 1991
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Nuclear Physics B, 1973
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Il Nuovo Cimento A, 1972
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