dorsal/arxiv
View SchemaTime-delay, energy-continuum, and systematics of particles
| Authors | S. R. Jain, R. Ramanna, K. Ramachandra |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311063 |
| URL | https://arxiv.org/abs/quant-ph/0311063 |
Abstract
Finding systematics in the mass-lifetime data for all the hadrons has been an outstanding problem. In this work, we show that the product of mass and lifetime for unstable particles is very well-approximated by \hbar 2^n/n where n is an integer specific for a particle. In doing so, we have employed a relation between time-delay and resonances. The energy-continuum has been treated in a way to take advantage of Cantor's mathematical work on continuum. Thus, even though the resonances are designated by complex energy variables where ordering is not possible, in terms of stability, the index n labels these resonances; larger the n, more stable a resonance is.
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"abstract": "Finding systematics in the mass-lifetime data for all the hadrons has been an\noutstanding problem. In this work, we show that the product of mass and\nlifetime for unstable particles is very well-approximated by \\hbar 2^n/n where\nn is an integer specific for a particle. In doing so, we have employed a\nrelation between time-delay and resonances. The energy-continuum has been\ntreated in a way to take advantage of Cantor\u0027s mathematical work on continuum.\nThus, even though the resonances are designated by complex energy variables\nwhere ordering is not possible, in terms of stability, the index n labels these\nresonances; larger the n, more stable a resonance is.",
"arxiv_id": "quant-ph/0311063",
"authors": [
"S. R. Jain",
"R. Ramanna",
"K. Ramachandra"
],
"categories": [
"quant-ph"
],
"title": "Time-delay, energy-continuum, and systematics of particles",
"url": "https://arxiv.org/abs/quant-ph/0311063"
},
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