三核子体系中结合能的质量依赖性

IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Igor Filikhin, Yury B. Kuzmichev, Branislav Vlahovic
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引用次数: 0

摘要

我们考虑了 AAA 模型中的\(^{3}\hbox {H}\)核,它包括通过现象学核势相互作用的质量相同的粒子。我们使用参数\(\beta =m_{0}/{m^*}\)扩展了三核子哈密顿,该参数决定了核子平均质量\(m_{0} = (m_{n} + m_{p})/2\)的变化\(m^*\)。研究发现,当质量在\(0.9{<}{m^*}{/m}_{0}{<}1.25\)范围内变化时,\(^{3}\hbox {H}\)结合能是质量\({m^*}/m_0\)的线性函数。因此,能量和质量之间的关系可以用著名的公式\(E=mc^{2}\)来表示。由于泰勒(Taylor)扩展了一般关系式\(E\sim 1/m\),这种效应在核子质量的实验动机值附近的小范围内产生。利用这种能量-质量依赖关系定义的核子等效质量可以从现象学上描述质子/核子质量差对 3N 结合能的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Mass Dependence of Binding Energy in Three-Nucleon System

Mass Dependence of Binding Energy in Three-Nucleon System

We consider the \(^{3}\hbox {H}\) 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 \(\beta =m_{0}/{m^*}\) that determines the variations \(m^*\) of the averaged nucleon mass \(m_{0} = (m_{n} + m_{p})/2\). It was found that the \(^{3}\hbox {H}\) 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 \(E=mc^{2}\). This effect takes a place in small vicinity around the experimentally motivated value of the nucleon mass due to Taylor expanding the general relation \(E\sim 1/m\). 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.

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来源期刊
Few-Body Systems
Few-Body Systems 物理-物理:综合
CiteScore
2.90
自引率
18.80%
发文量
64
审稿时长
6-12 weeks
期刊介绍: The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).
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