A search for hidden-charm pentaquark states decaying to a range of and final states, as well as doubly charmed pentaquark states to and , is made using samples of proton-proton collision data corresponding to an integrated luminosity of recorded by the LHCb detector at . Since no significant signals are found, upper limits are set on the pentaquark yields relative to that of the baryon in the decay mode. The known pentaquark states are also investigated, and their signal yields are found to be consistent with zero in all cases. © 2024 CERN, for the LHCb Collaboration2024CERN
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Local order metrics for many-particle systems across length scales
Formulating order metrics that sensitively quantify the degree of order/disorder in many-particle systems in -dimensional Euclidean space across length scales is an outstanding challenge in physics, chemistry, and materials science. Since an infinite set of -particle correlation functions is required to fully characterize a system, one must settle for a reduced set of structural information, in practice. We initiate a program to use the local number variance associated with a spherical sampling window of radius (which encodes pair correlations) and an integral measure derived from it that depends on two specified radial distances and . Across the first three space dimensions ( ), we find these metrics can sensitively describe and categorize the degree of order/disorder of 41 different models of antihyperuniform, nonhyperuniform, disordered hyperuniform, and ordered hyperuniform many-particle systems at a specified length scale . Using our local variance metrics, we demonstrate the importance of assessing order/disorder with respect to a specific value of . These local order metrics could also aid in the inverse design of structures with prescribed length-scale-specific degrees of order/disorder that yield desired physical properties. In future work, it would be fruitful to explore the use of higher-order moments of the number of points within a spherical window of radius [S. Torquato , ] to devise even more sensitive order metrics. Published by the American Physical Society2024
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- Award ID(s):
- 2133179
- PAR ID:
- 10565172
- Publisher / Repository:
- Physical Review Research
- Date Published:
- Journal Name:
- Physical Review Research
- Volume:
- 6
- Issue:
- 3
- ISSN:
- 2643-1564
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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