Galilean-invariant effective field theory for the X(3872)

被引：40

作者：

Braaten, Eric ^{[1
]}

机构：

[1] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA

来源：

PHYSICAL REVIEW D | 2015年 / 91卷 / 11期

关键词：

D O I：

10.1103/PhysRevD.91.114007

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

XEFT is a low-energy effective field theory for charm mesons and pions that provides a systematically improvable description of the X(3872) resonance. A Galilean-invariant formulation of XEFT is introduced to exploit the fact that mass is very nearly conserved in the transition D*(0) -> D-0 pi(0). The transitions D*(0) -> D-0 pi(0) and X -> D-0(D) over bar (0)pi(0) are described explicitly in XEFT. The effects of the decay D*(0) -> D-0 gamma and of short-distance decay modes of the X(3872), such as J/psi pi(+)pi(-), can be taken into account by using complex on-shell renormalization schemes for the D*(0) propagator and for the D*(0)(D) over bar (0) propagator in which the positions of their complex poles are specified. Galilean-invariant XEFT is used to calculate the D*(0)(D) over bar (0) scattering length to next-to-leading order. Galilean invariance ensures the cancellation of ultraviolet divergences without the need for truncating an expansion in powers of the ratio of the pion and charm meson masses.

引用

页数：27

共 21 条

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