ROLES OF ANTI-NUCLEON DEGREES OF FREEDOM IN RELATIVISTIC NUCLEAR MODELS

2006 ◽  
Vol 15 (08) ◽  
pp. 1925-1931
Author(s):  
HARUKI KURASAWA ◽  
TOSHIO SUZUKI
Keyword(s):  
Response Function ◽  
Degrees Of Freedom ◽  
Sum Rules ◽  
Sum Rule ◽  
Nuclear Models ◽  
Relativistic Models ◽  
Gamow Teller

The roles of anti-nucleon degrees of freedom in nuclear relativistic models are discussed. They are necessary for sum rules. It is also pointed out that the no-sea approximation, where the divergent terms due to the anti-nucleon degrees of freedom are neglected, has no physical justification and is a serious problem. These facts are shown in an analytic way by using the sum rule and RPA response function for the giant Gamow-Teller states.

Sum rules for a bounded electron gas

1976 ◽  
Vol 54 (13) ◽  
pp. 1396-1408 ◽  
Author(s):  
A. Griffin ◽  
J. Harris
Keyword(s):  
Response Function ◽  
Sum Rules ◽  
Electron Gas ◽  
Sum Rule ◽  
Approximate Models ◽  
Density Response Function ◽  
Density Response ◽  
Infinite Barrier ◽  
Barrier Model

A discussion is given of the f-sum rule obeyed by the density response function of a bounded electron gas. Particular attention is given to approximate models for a jellium slab. We prove that RPA infinite barrier models (both classical and quantal) are perfectly consistent with the f-sum rule as well as the related dielectric sum rule. In addition, the classical infinite barrier model is shown to satisfy the surface sum rules of Inglesfield and Wikborg.

scholarly journals GAMOW–TELLER SUM RULE IN RELATIVISTIC NUCLEAR MODELS

2006 ◽  
Vol 21 (12) ◽  
pp. 935-946 ◽  
Author(s):  
HARUKI KURASAWA ◽  
TOSHIO SUZUKI
Keyword(s):  
Degrees Of Freedom ◽  
Random Phase ◽  
Mean Field ◽  
Field Approximation ◽  
Point Of View ◽  
Mean Field Approximation ◽  
Sum Rule ◽  
Relativistic Mean Field ◽  
Relativistic Corrections ◽  
Gamow Teller

Relativistic corrections are investigated to the Gamow–Teller (GT) sum rule with respect to the difference between the β- and β+ transition strengths in nuclei. Since the sum rule requires the complete set of the nuclear states, the relativistic corrections come from the anti-nucleon degrees of freedom. In the relativistic mean field approximation, the total GT strengths carried by the nucleon sector is quenched by about 12% in nuclear matter, while by about 8% in finite nuclei, compared to the sum rule value. The coupling between the particle-hole states with the nucleon–antinucleon states is also discussed with the relativistic random phase approximation, where the divergence of the response function is renormalized with use of the counterterms in the Lagrangian. It is shown that the approximation to neglect the divergence, like the no-sea approximation extensively used so far, is unphysical, from the sum-rule point of view.

scholarly journals Shocks, superconvergence, and a stringy equivalence principle

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Murat Koloğlu ◽  
Petr Kravchuk ◽  
David Simmons-Duffin ◽  
Alexander Zhiboedov
Keyword(s):  
Equivalence Principle ◽  
Degrees Of Freedom ◽  
Sum Rules ◽  
Sufficient Conditions ◽  
Flat Space ◽  
Low Energy ◽  
Probe Particle ◽  
Sum Rule ◽  
Single Trace ◽  
Effective Theories

Abstract We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks commute. Shock commutativity leads to nontrivial constraints on low-energy effective theories. In particular, it excludes non-minimal gravitational couplings unless extra degrees of freedom are judiciously added. In flat space, these constraints are encoded in the vanishing of a certain “superconvergence sum rule.” In AdS, shock commutativity becomes the statement that average null energy (ANEC) operators commute in the dual CFT. We prove commutativity of ANEC operators in any unitary CFT and establish sufficient conditions for commutativity of more general light-ray operators. Superconvergence sum rules on CFT data can be obtained by inserting complete sets of states between light-ray operators. In a planar 4d CFT, these sum rules express $$ \frac{a-c}{c} $$ a − c c in terms of the OPE data of single-trace operators.

The Gamow-Teller states and sum rule in relativistic models

2004 ◽  
Vol 731 ◽  
pp. 114-120 ◽  
Author(s):  
Haruki Kurasawa ◽  
Toshio Suzuki ◽  
Nguyen Van Giai
Keyword(s):  
Sum Rule ◽  
Relativistic Models ◽  
Gamow Teller

scholarly journals INTEGRAL TRANSFORM TECHNIQUE FOR MESON WAVE FUNCTIONS

1996 ◽  
Vol 11 (20) ◽  
pp. 1611-1626 ◽  
Author(s):  
A.P. BAKULEV ◽  
S.V. MIKHAILOV
Keyword(s):  
Wave Function ◽  
Sum Rules ◽  
Integral Transform ◽  
Wave Functions ◽  
Sum Rule ◽  
New Approach ◽  
Exactly Solvable ◽  
The Stability ◽  
The Masses ◽  
Integral Transform Technique

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.

scholarly journals L-edge sum rule analysis on 3d transition metal sites: from d10to d0and towards application to extremely dilute metallo-enzymes

2018 ◽  
Vol 20 (12) ◽  
pp. 8166-8176 ◽  
Author(s):  
Hongxin Wang ◽  
Stephan Friedrich ◽  
Lei Li ◽  
Ziliang Mao ◽  
Pinghua Ge ◽  
...  
Keyword(s):  
Absorption Spectrum ◽  
Transition Metal ◽  
Metal Complex ◽  
Sum Rules ◽  
Sum Rule ◽  
X Ray ◽  
Metal Site ◽  
Integrated Intensity ◽  
Rule Analysis ◽  
X Ray Absorption

According to L-edge sum rules, the number of 3d vacancies at a transition metal site is directly proportional to the integrated intensity of the L-edge X-ray absorption spectrum (XAS) for the corresponding metal complex.

COMMENTS ON QCD SUM-RULE CALCULATIONS OF EXCLUSIVE TWO-BODY DECAYS OF CHARMED MESONS

1989 ◽  
Vol 04 (09) ◽  
pp. 877-883 ◽  
Author(s):  
LING-LIE CHAU ◽  
HAI-YANG CHENG
Keyword(s):  
Experimental Data ◽  
Sum Rules ◽  
Theoretical Calculations ◽  
Charmed Mesons ◽  
Qcd Sum Rules ◽  
Generic Structure ◽  
Sum Rule ◽  
Quark Diagram ◽  
Model Independent ◽  
Decays Of Charmed Mesons

Exclusive two-body decay amplitudes of charmed mesons evaluated by Blok and Shifman (BS) using QCD sum rules are analyzed using the model-independent quark-diagram scheme, which helps to pin point the generic structure of the BS calculations, and their difficulties when compared with the experimental data. We also point out what experimental improvements on the data and which new data are most helpful in sharpening these comparisons. Some comments on possible ways of further improving the theoretical calculations are given.

Lorentz-Lorenz Quenching for the Gamow-Teller Sum Rules

1984 ◽  
pp. 201-204
Author(s):  
J. Delorme ◽  
M. Ericson ◽  
A. Figureau ◽  
N. Giraud
Keyword(s):  
Sum Rules ◽  
Gamow Teller
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