Mass Dependence of Binding Energy in Three-Nucleon System.

Autor: Filikhin, Igor, Kuzmichev, Yury B., Vlahovic, Branislav
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Zdroj: Few-Body Systems; Mar2024, Vol. 65 Issue 1, p1-5, 5p
Abstrakt: We consider the 3 H nucleus within the AAA model that includes mass identical particles interacting through a phenomenological nuclear potential. We extend the three-nucleon Hamiltonian β H ^ 0 + V n u c l. using the parameter β = m 0 / m ∗ that determines the variations m ∗ of the averaged nucleon mass m 0 = (m n + m p) / 2 . It was found that the 3 H binding energy is a linear function of the mass m ∗ / m 0 when it changes within the ranges 0.9 < m ∗ / m 0 < 1.25 . Thus, the relation between energy and mass is expressed by an analogy to the well-known formula E = m c 2 . 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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