scholarly journals Calculating Masses of Pentaquarks Composed of Baryons and Mesons

2016 ◽  
Vol 2016 ◽  
pp. 1-4 ◽  
Author(s):  
M. Monemzadeh ◽  
N. Tazimi ◽  
Sh. Babaghodrat
Keyword(s):  
Integral Equation ◽  
Configuration Space ◽  
Body Problem ◽  
Bound State ◽  
Pion Exchange ◽  
Exchange Potential ◽  
The Masses ◽  
Exotic Baryon

We consider an exotic baryon (pentaquark) as a bound state of two-body systems composed of a baryon (nucleon) and a meson. We used a baryon-meson picture to reduce a complicated five-body problem to simple two-body problems. The homogeneous Lippmann-Schwinger integral equation is solved in configuration space by using one-pion exchange potential. We calculate the masses of pentaquarksθc(uuddc¯)andθb(uuddb¯).

scholarly journals Consistent Treatment of Pion Exchange Force and Meson versus Quark Dynamics in the Nucleon?Nucleon Interaction

1993 ◽  
Vol 46 (6) ◽  
pp. 737
Author(s):  
GQ Liu ◽  
AW Thomas
Keyword(s):  
Vector Meson ◽  
Short Range ◽  
Coupling Model ◽  
Nucleon Nucleon ◽  
Pion Exchange ◽  
Meson Exchange ◽  
Exchange Potential ◽  
Exchange Force ◽  
Gluon Exchange ◽  
Vector Meson Exchange

To distinguish explicit quark effects from meson exchange in the NN interaction, it is necessary to splice the long-range meson exchange forces and short-distance dynamics due to quarks. However, in most quark model studies the short-range part of the pion exchange is usually treated differently, which makes it difficult to get a uniform picture of the short-range dynamics. We make a comparison between meson exchange and quark-gluon dynamics using the same pion exchange potential based on a quark-pion coupling model. The roles of vector meson exchange and gluon exchange in the NN interaction are compared by calculating NN phase parameters. It is shown that, with this consistent one-pion exchange force, the vector meson exchange gives a better fit to the data. This suggests that non-perturbative mechanisms responsible for meson exchange may need more careful handling to supplement the usual one-gluon exchange mechanism in describing the NN interaction.

Bound state QED effects from the Schrödinger equation

1992 ◽  
Vol 70 (8) ◽  
pp. 670-682 ◽  
Author(s):  
Tao Zhang ◽  
Lixin Xiao ◽  
Roman Koniuk
Keyword(s):  
Integral Equation ◽  
Scattering Amplitudes ◽  
Principal Quantum Number ◽  
Bound State ◽  
Renormalization Scheme ◽  
Dirac Particles ◽  
Feynman Gauge ◽  
The One ◽  
Qed Effects ◽  
Bound State Qed

We present a new relativistic bound-state formalism for two interacting Fermi–Dirac particles. The kernel of the integral equation for the bound-state system is generated by summing Feynman scattering amplitudes and multiplying by a bound-state amplitude. The method is illustrated through calculations of the hyperfine and fine splittings of positronium up to order α5. Our calculations of the one-loop contributions are carried out in the explicitly covariant Feynman gauge. We also present new results for the hyperfine and fine splittings in positronium to order α5 for arbitrary principal quantum number n, which are easily obtained owing to the virtue of conceptual and calculational simplicity of our formalism. In addition, we present the one-loop renormalization scheme in our formalism.

scholarly journals A note on the existence of invariant punctured tori in the planar circular restricted three-body problem

1988 ◽  
Vol 8 (8) ◽  
pp. 63-72 ◽  
Keyword(s):  
Body Problem ◽  
Small Mass ◽  
Connected Components ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Jacobi Constant ◽  
Hill Region ◽  
The Masses ◽  
Three Body ◽  
Collision Orbits

AbstractThe existence of transversal ejection—collision orbits in the restricted three-body problem is shown to imply, via the KAM theorem, the existence, for certain intervals of (large) values of the Jacobi constant, of an uncountable number of invariant punctured tori in the corresponding (non-compact) energy surface. The proof is based on a comparison between Levi-Civita and McGehee regularizing variables. That these transversal ejection-collision orbits do actually exist was proved in [5] in the case where one of the primaries has a small mass and the zero-mass body revolves around the other (and for all values of the Jacobi constant compatible with the existence of three connected components for the Hill region); it is proved here without any restriction on the masses, well in the spirit of Conley's thesis [3].

THE BOUND STATE EQUATION FOR TWO GLUONS AND ITS SOLUTION

1999 ◽  
Vol 14 (13) ◽  
pp. 2117-2132
Author(s):  
J. Y. CUI ◽  
J. M. WU
Keyword(s):  
Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
State Equation ◽  
Exchange Potential ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
Lattice Calculation ◽  
Confining Potential ◽  
Instantaneous Approximation

We derive the bound state equation for two gluons in relativistic quantum field theory, i.e. the Bethe–Salpeter (BS) equation for two gluons. To solve it, we choose the kernel as the sum of a one-gluon exchange potential, a contact interaction and a linear confining potential. Under instantaneous approximation, this BS equation is solved numerically. The spectrum and the BS wave function of the glueballs are obtained in this framework. The numerical results are in agreement with that of recent lattice calculation.

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