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We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability.

Mathematical Physics · Physics 2008-01-31 Rafael D. Benguria , Michael Loss , Heinz Siedentop

In this article the concept of mass is analyzed based on the special and general relativity theories and particle (quantum) physics. The mass of a particle (m=E(0)/c^2) is determined by the minimum (rest) energy to create that particle…

General Physics · Physics 2009-02-18 S. O. Tagieva , M. Erturk

In the framework of the recently proposed electroweak theory on a Planck lattice, we are able to solve approximately the lattice Dyson equation for the fermion self-energy functions, and obtain the ratio between the masses of the $t-$ and…

High Energy Physics - Lattice · Physics 2009-10-22 She-Sheng Xue , Giuliano Preparata

Neutrino masses and mixings are investigated on the basis of a universal seesaw mass matrix model, in which quark (except for top) and charged lepton mass matrices M_f and neutrino mass matrix M_\nu are given by M_f \simeq m_L M_F^{-1} m_R…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yoshio Koide

Using the Color-Dielectric model to describe quark confinement, including strange quarks and accounting for beta--equilibrium, we get masses for a static neutron star in the range $1.3\leq M/M_{\odot}\leq 1.54 $ for a radius $R\approx 9$…

Nuclear Theory · Physics 2009-10-28 A. Drago , U. Tambini , M. Hjorth-Jensen

We study quark and lepton mass matrices in the $A_4$ modular symmetry towards the unification of the quark and lepton flavors. We adopt modular forms of weights $2$ and $6$ for quarks and charged leptons, while we use modular forms of…

High Energy Physics - Phenomenology · Physics 2021-07-27 Hiroshi Okada , Morimitsu Tanimoto

The stability and equation of state of quark matter are studied within both two-flavor and (2+1)-flavor Nambu-Jona-Lasinio (NJL) models including the vector interactions. With a free parameter $\alpha$, the Lagrangian is constructed by two…

Nuclear Theory · Physics 2022-06-22 Wen-Li Yuan , Ang Li , Zhiqiang Miao , Bingjun Zuo , Zhan Bai

The key quantity of the heavy quark theory is the quark mass $m_Q$. Since quarks are unobservable one can suggest different definitions of $m_Q$. One of the most popular choices is the pole quark mass routinely used in perturbative…

High Energy Physics - Phenomenology · Physics 2010-11-01 I. I. Bigi , M. A. Shifman , N. G. Uraltsev , A. I. Vainshtein

A comparative analysis of a number of phenomenological relationships between constants of the extended Standard Model of electromagnetic, strong and weak interactions of fundamental particles (hereinafter referred to as the extended…

High Energy Physics - Phenomenology · Physics 2025-08-12 V. V. Khruschov , S. V. Fomichev

The innermost stable circular orbit equation of a test particle is obtained for an approximate Kerr-like spacetime with quadrupole moment. We derived the effective potential for the radial coordinate by the Euler-Lagrange method. This…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Fabian Chaverri-Miranda , Francisco Frutos-Alfaro , Pedro Gomez-Ovarez , Andree Oliva-Mercado

We have derived the criteria for thermal stability of charged rotating black holes, for horizon areas that are large relative to the Planck area (in these dimensions). In this paper, we generalized it for black holes with arbitrary hairs.…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Aloke Kumar Sinha

We have already derived the Criteria for thermal stability of charged rotating black holes in any dimension , for horizon areas that are large relative to the Planck area (in these dimensions). The derivation is done by using results of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Aloke Kumar Sinha

The absolute neutrino masses and type of neutrino mass hierarchy are among the main problems in neutrino physics. Top-quark mass is another topical problem in particle physics. These problems extend the old puzzle of electron-muon mass…

General Physics · Physics 2008-10-01 E. M. Lipmanov

The theoretical description of compact structures that share some key features with mass varying particles allows for a simple analysis of equilibrium and stability for massive stellar bodies. We investigate static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-01-05 Alex E. Bernardini , O. Bertolami

Assigning U(1) charges to the quarks of the standard model, and allowing one extra scalar doublet with m^2 > 0, the correct pattern of the up and down quark mass matrices is obtained, together with their charged-current mixing matrix.

High Energy Physics - Phenomenology · Physics 2014-11-17 Ernest Ma

If three right-handed neutrinos are added to the Standard Model, then, for the three known generations, there are six quarks and six leptons. It is then natural to assume that the symmetry considerations that have been applied to the quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 Per Osland , Tai Tsun Wu

We study in detail the effect of the finite current quark mass on chiral symmetry breaking, in the framework of truncated Coulomb gauge QCD with a linear confining quark-antiquark potential. In the chiral limit of massless current quarks,…

High Energy Physics - Phenomenology · Physics 2015-05-19 P. Bicudo

We analyze the stability of the electroweak vacuum in neutrino mass models containing right handed neutrinos or fermionic isotriplets. In addition to considering absolute stability, we place limits on the Yukawa couplings of new fermions…

High Energy Physics - Phenomenology · Physics 2016-04-20 Manfred Lindner , Hiren H. Patel , Branimir Radovčić

Current experimental data indicate that the Koide relation for the pole masses of charged leptons, which can be parametrized as $Q^{pole}_l = 2/3$, is valid up to the accuracy of $O(10^{-5})$. We show that the running masses of charged…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhi-zhong Xing , He Zhang

The exact measurement of neutrino mass remains a longstanding issue. So far, there has been much success in providing an upper bound for the neutrino rest mass, both theoretically and experimentally. In this work, by exploring the critical…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Haida Li , Xiangdong Zhang