A simple alternative to the relativistic Breit-Wigner distribution

被引：19
作者：
Giacosa, Francesco [1 ,2 ]
Okopinska, Anna [1 ]
Shastry, Vanamali [1 ]
机构：
[1] Jan Kochanowski Univ, Inst Phys, Ul Uniwersytecka 7, PL-25406 Kielce, Poland
[2] Goethe Univ Frankfurt, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany
来源：
EUROPEAN PHYSICAL JOURNAL A | 2021年 / 57卷 / 12期
关键词：
FIELD THEORY; MESON; RESONANCE; DECAYS; MODEL; WIDTH;
D O I：
10.1140/epja/s10050-021-00641-2
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
First, we discuss the conditions under which the non-relativistic and relativistic types of the Breit-Wigner energy distributions are obtained. Then, upon insisting on the correct normalization of the energy distribution, we introduce a Flatte-like relativistic distribution -denominated as Sill distribution- that (i) contains left-threshold effects, (ii) is properly normalized for any decay width, (iii) can be obtained as an appropriate limit in which the decay width is a constant, (iv) is easily generalized to themulti-channel case (v) as well as to a convoluted form in case of a decay chain and - last but not least - (vi) is simple to deal with. We compare the Sill distribution to spectral functions derived within specific QFT models and show that it fairs well in concrete examples that involve a fit to experimental data for the rho, a(1)(1260), and K* (982) mesons as well as the Delta(1232) baryon. We also present a study of the f(2)(1270) which has more than one possible decay channels. Finally, we discuss the limitations of the Sill distribution using the a(0)(980)-a(0)(1450) and the K-0*(700)-K-0* (1430) resonances as examples.
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页数：24
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