Center-of-Mass Motion in Many-Particle Systems. II. Critique of the Gartenhaus-Schwartz Transformation

In recent times, there has been considerable interest in scenarios for quantum gravity in which particle kinematics is affected nonlinearly by the Planck scale, with encouraging results for the phenomenological prospects, but also some concerns that the nonlinearities might produce pathological properties for composite/multiparticle systems. We here focus on kinematics in the [Formula: see text]-Minkowski noncommutative spacetime, the quantum spacetime which has been most studied from this perspective and compare the implications of the alternative descriptions of the total momentum of a multiparticle system which have been so far proposed. We provide evidence suggesting that priority should be given to defining the total momentum as the standard linear sum of the momenta of the particles composing the system. We also uncover a previously unnoticed feature concerning some (minute but conceptually important) effects on center-of-mass motion due to properties of the motion of the constituents relative to the center of mass.

Download Full-text

Center-of-Mass Motion in Many-Particle Systems

Physical Review C ◽

10.1103/physrevc.7.925 ◽

1973 ◽

Vol 7 (3) ◽

pp. 925-930 ◽

Cited By ~ 16

Author(s):

D. J. Ernst ◽

C. M. Shakin ◽

R. M. Thaler

Keyword(s):

Center Of Mass ◽

Particle Systems ◽

Mass Motion

Download Full-text

Real generator-coordinate method and center-of-mass motion

Nuclear Physics A ◽

10.1016/0375-9474(85)90205-2 ◽

1985 ◽

Vol 439 (1) ◽

pp. 1-12 ◽

Cited By ~ 8

Author(s):

M. Hanck

Keyword(s):

Center Of Mass ◽

Mass Motion ◽

Generator Coordinate Method ◽

Coordinate Method ◽

Generator Coordinate

Download Full-text

Comments on center-of-mass motion and the 4He charge form factor

Nuclear Physics A ◽

10.1016/0375-9474(71)90343-5 ◽

1971 ◽

Vol 173 (2) ◽

pp. 257-264 ◽

Cited By ~ 35

Author(s):

J.L. Friar

Keyword(s):

Form Factor ◽

Center Of Mass ◽

Charge Form Factor ◽

Mass Motion ◽

Charge Form

Download Full-text

NUCLEON IN NUCLEAR MEDIUM

International Journal of Modern Physics E ◽

10.1142/s0218301309013427 ◽

2009 ◽

Vol 18 (05n06) ◽

pp. 1166-1175

Author(s):

SHASHIKANT C. PHATAK

Keyword(s):

Standard Procedure ◽

Center Of Mass ◽

Critical Density ◽

Magnetic Interaction ◽

Nuclear Medium ◽

Mass Motion ◽

Field Equations ◽

Dielectric Model ◽

Chiral Color Dielectric Model

The behavior of a nucleon in nuclear medium is discussed in Chiral Color Dielectric Model. It is assumed that the nucleons in nuclear medium produces a background dielectric field and the quark and dielectric field equations are solved self consistantly in presence of the dielectric field. A nucleon in nuclear medium is then constructed by means of standard procedure followed in chiral bag models. The corrections due to center of mass motion, color magnetic interaction and meson interaction are included. The calculations show that the nucleon becomes bigger in the medium but its mass does not change much. It is found that beyond a certian density, bound solutions in which quarks are bound in self-generated dielectric field are not possible. Thus, the calculations indicate that there is a critical density beyond which the matter consists of deconfined quarks.

Download Full-text