Mass-Energy Equivalence in Bound Three-Nucleon Systems

Filikhin, I.; Suslov, V. M.; Vlahovic, B.

doi:10.48550/arxiv.2112.13827

Cited by 2 publications

(10 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was shown in Ref. 1 that a decrease in kinetic energy can be compensated by an increase in the attractive contribution of potential energy. The corresponding calculations for 3 H and 3 He nuclei have been performed using the Faddeev method in the configuration space.…”

Section: Introductionmentioning

confidence: 99%

“…The effective-mass approach for three-particle systems was proposed in Ref. 1 based on the effect of a mass-energy compensation that takes place for a three-body Hamiltonian. This compensation manifests the mass-energy equivalence in bound nuclear systems.…”

Section: Introductionmentioning

confidence: 99%

“…7 ) are not considered in this model. Following Ref., 1 we definite the effective nucleon mass m * in a nucleus. The effective mass can be obtained as a correction to the averaged free nucleon mass to reproduce the experimental value of the ground state energy.…”

Section: Introductionmentioning

confidence: 99%

“…The possibility of the procedure was shown in Ref. 1 due to the the mass-energy compensation effect takes a place for the three-body Hamiltonian. To explain this effect, we consider the Hamiltonian written in following form:…”

Section: Introductionmentioning

confidence: 99%

“…The compensation has been interpreted in Ref. 1 as a manifestation of the mass and energy equivalence of applied to three-nucleon system.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Effective Mass of $α$-Cluster in $^{12}$C Nucleus

Filikhin¹,

Karoui²,

Vlahović³

2022

Preprint

View full text Add to dashboard Cite

Based on the effective-mass concept, we perform the Faddeev calculations for a lowlying spectrum of 3α states in 12 C nucleus. A three-body potential is used to describe the known breaking of the 3α-cluster structure in the nucleus. We show that the contribution of the three-body potential to the Hamiltonian can be compensated by increasing/decreasing the α-particle free mass. The effective-mass values are adjusted so that to reproduce the experimental data for the 12 C nucleus. The energy dependence of the effective mass and the correlation to a three-body potential are discussed. We show that the coupling between the 0 + (2 + ) levels forms a specific picture of anti-crossing on the energy/effective-mass plane.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The compensation has been interpreted in Ref. 1 as a manifestation of the mass and energy equivalence of applied to three-nucleon system.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effective Mass of $α$-Cluster in $^{12}$C Nucleus

Filikhin¹,

Karoui²,

Vlahović³

2022

Preprint

View full text Add to dashboard Cite

show abstract

Mass dependence of binding energy in three-nucleon system

Filikhin,

Kuzmichev,

Vlahovic

2023

Preprint

View full text Add to dashboard Cite

We consider the 3H nucleus within the AAA model that includes mass identical particles interacting through a phenomenological nuclear potential. We extend the three-nucleon Hamiltonian $\beta{\widehat{{H}}}_{0}+{V}_{nucl.}$ using the parameter β = m0/m* that determines the variations m* of the averaged nucleon mass m0 = (mn + mP)/2. It was found that the 3H binding energy is a linear function of the mass m*/m0 when it changes within the ranges 0.9 < m* / m0 < 1.25. Thus, the relation between energy and mass is expressed by an analogy to the well-known formula E = mc2. This effect takes a place in small vicinity around the experimentally motivated value of the nucleon mass due to Taylor expanding the general relation E～1/m. The equivalent mass of a nucleon, defined by using this energy-mass dependence, can phenomenologically describe the effect of the proton/nucleon mass difference on 3N binding energy.

show abstract

Mass-Energy Equivalence in Bound Three-Nucleon Systems

Cited by 2 publications

References 38 publications

Effective Mass of $α$-Cluster in $^{12}$C Nucleus

Effective Mass of $α$-Cluster in $^{12}$C Nucleus

Mass dependence of binding energy in three-nucleon system

Contact Info

Product

Resources

About