Mass formula

About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.

Mass formula for t=0 and T=1 ground states of N=Z nuclei

Abstract: An algebraic model is developed to calculate the T=0 and T=1 ground state binding energies for N=Z nuclei. The method is tested in the sd shell and is then extended to 28-50 shell which is currently the object of many experimental studies.

η and η′ Meson Mixing in U(6) Symmetry

Abstract: 1meson are also discussed. The composite inodel in which the baryon and the meson are composed of urbaryons as (uuu) and (uu) respectively ·has brought us systematic understand­ ing of the hadron spectrum and their interactions. At high energies, several sum rules among differential cross sections of various hadronic reactions have been derived 1l from counting the urbaryon rearrangement amplitudes with the Okubo-Iizuka rule2l which forbids the disconnected urbaryon diagram. The sum rules well agree with experiments. Recently it has been argued 8l' 4l that the sum rules among the differential cross sections concerning r; or r;' meson derived from the simple counting rule do not agree with experiments, i.e., the singlet octet ratio S =(I r;1) /(I r;s) is introduced as a free parameter and its value is found to be much smaller than .J2 obtained from the simple counting rule when high energy hadronic reactions and strong decays are concerned. From the standpoint of the urbayon model, a correction to the simple count­ ing rule is naturally interpreted as an effect of the overlapping integral between the hadrons and it is related to the mass formula of pseudoscalar mesons. In the U(6) symmetry theory, one of the pseudo scalar mesons with I= Y = 0 belongs to 1 of U(6) multiplets and the other eight pseudoscalar mesons and nine vector mesons belong to 35. It can be considered that, in the first ap­ proximation, the spatial wave functions of the 35 states are equal to each other and different from that of the 1 state and the U(3) invariant mass terms split into 1 and 35. The U(3) symmetry breaking terms T 8 8 well reproduce the

The Pion Mass Formula

Abstract: The often used Gell-Mann-Oakes-Renner mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate $ $, $f_{\pi}$ and the quark current masses. Within the context of the Global Colour Model (GCM) for QCD a manifestly different formula was recently found by Cahill and Gunner. Remarkably Langfeld and Kettner have shown the two formula to be equivalent. Here we note that the above recent analyses refer to the constituent pion and not the exact pion, even within the GCM. Further we generalise the Langfeld-Kettner identity to include the full response of the constituent quark propagators to the presence of a non-zero (and running) quark current mass.

On the mass formula forU 6⊗U 6

Abstract: A mass formula forU6 ⊗U6 is derived. In particular, it is shown that in order to produce spin-splitting the singlet-contributing terms of the 189 and 405 parts ofSU6, should be introduced. The pseudoscalar coupling constantgps2/4π is found to be in impressive agreement with experiment.

A Novel View of Exotic Hadrons and the Covariant ~U(12)-Classification Scheme

Abstract: I classify exotic hadrons into two types, "genuine" and "hidden" exotics, and propose that the "hidden" exotics would be interpreted as "chiralons" in the ~U(12)_SF times O(3,1)_L-classification scheme of hadrons. Based upon this conjecture I investigate the mass spectrum of 1S, 1P, and 2S states for the ccbar system by use of a phenomenological mass formula with the spin-dependent interactions and present possible assignments for exotic neutral charmonium-like states which were recently discovered. It is also mentioned that some J^PC-exotic states predicted in this scheme might correspond to those found in a recent lattice QCD calculation of the charmonium spectrum.