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Spinor Operator Giving Both Angular Momentum and Parity

2004/08/29 by T. Matsuki, Takayuki Matsuki, Kentarou Mawatari +9
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Geophysics and Gravity Measurements #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0408326

4 pages, revtex

arxiv created 2004/08/29 · openalex publication_date 2004/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In heavy quark effective theory, heavy mesons which contain a heavy quark (or antiquark) are classified by slpil, i.e., the total angular momentum sl and the parity pil of the light quark degrees of freedom around a static heavy quark. In this case, however, one needs to separately estimate the parity other than the angular momentum of a light quark to describe heavy mesons. A new operator K was proposed some time ago by two of us (T.M. and T.M.). In this Letter, we show that the quantum number k of this operator is enough to describe both the total angular momentum of the light quark degrees of freedom and the parity of a heavy meson, and derive a simple relation between k and slpil.

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