具有贝特-萨尔彼得方程的五体系统

IF 4.3 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS
Gernot Eichmann , M.T. Peña , Raul D. Torres
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引用次数: 0

摘要

我们将贝特-萨尔皮特形式论推广到由五价粒子组成的系统。我们将自己限制在两体相互作用中,推导出必要的减法项以防止计数过多。我们用数值方法求解了由一个标量交换玻色子相互作用的五个标量粒子系统的五体Bethe-Salpeter方程。为了便于计算,我们实现了置换群S5的性质,并构造了一个基于中间二体极点和三体极点的近似。我们提取了五体基态和激发态以及从二体、三体和四体方程中得到的光谱。在无质量交换粒子的极限下,二体、三体、四体和五体态在一定耦合强度范围内共存,而对于较重的交换粒子,五体系统变为Borromean。我们的研究为使用泛函方法计算五夸克性质提供了基础。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Five-body systems with Bethe-Salpeter equations
We extend the Bethe-Salpeter formalism to systems made of five valence particles. Restricting ourselves to two-body interactions, we derive the subtraction terms necessary to prevent overcounting. We solve the five-body Bethe-Salpeter equation numerically for a system of five scalar particles interacting by a scalar exchange boson. To make the calculations tractable, we implement properties of the permutation group S5 and construct an approximation based on intermediate two- and three-body poles. We extract the five-body ground and excited states along with the spectra obtained from the two-, three-, and four-body equations. In the limit of a massless exchange particle, the two-, three, four- and five-body states coexist within a certain range of the coupling strength, whereas for heavier exchange particles the five-body system becomes Borromean. Our study serves as a building block for the calculation of pentaquark properties using functional methods.
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来源期刊
Physics Letters B
Physics Letters B 物理-物理:综合
CiteScore
9.10
自引率
6.80%
发文量
647
审稿时长
3 months
期刊介绍: Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.
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