Paper Citation Record · LEDGER

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections

As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2505.22446.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.22446 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:15:27.205251Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy28
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 766d8575-0a8f-4c3b-b502-5815bd864583 · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:33.093689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d8b10c0b-5034-4c6a-b84d-69814e031b34 · outbound

This paper cites (11) For the decay ρ → ππ, the two pions are on shell and we have p2 1 = p2.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections (11) For the decay ρ → ππ, the two pions are on shell and we have p2 1 = p2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:33.664431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87ce7ed6-ec68-494c-8e69-eebb3703428a · outbound

This paper cites prepared state.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections prepared state

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:33.430587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2718fb53-a2b0-4e29-a35c-8e63e44ec663 · outbound

This paper cites (A16) The calculation of M1 can make use of the assumption pµ 1 M1(p1, p2) + pµ 2 M1(p2, p1) = Z d4k (2π)4 kµ s0s1s2.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections (A16) The calculation of M1 can make use of the assumption pµ 1 M1(p1, p2) + pµ 2 M1(p2, p1) = Z d4k (2π)4 kµ s0s1s2

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:33.252871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e5657b6-c36f-48b3-9628-481630cbe212 · outbound

This paper cites Abe et al.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Abe et al

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:32.915739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 40f2a8f2-446d-4eeb-be03-3aa8d4d00ae7 · outbound

This paper cites Abe et al.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Abe et al

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:32.658339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 12276dcd-ab1e-4246-b0e3-9ccd94b5e6af · outbound

This paper cites Ablikim et al.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Ablikim et al

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:32.446032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d9f55f6a-077c-4937-aee6-a959423dc25b · outbound

This paper cites Aubert et al.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Aubert et al

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:32.276854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c829991-9546-47d2-b409-4ce695c320d2 · outbound

This paper cites Bernard, A.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Bernard, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:32.094637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf83f2b4-89f3-4ca5-93ef-d56fe6ccc9c8 · outbound

This paper cites Meissner.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Meissner

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:31.900950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 294f6a15-4b4b-48c3-b526-a1d5ce0c4977 · outbound

This paper cites Brice˜ no, Jozef J.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Brice˜ no, Jozef J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:31.725424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8fd103b7-843c-4b45-abd3-84a5760a4564 · outbound

This paper cites Brodsky, Guy F.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Brodsky, Guy F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:31.531660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f3df78f5-f4f8-4b70-84ae-c4a5e6ab6283 · outbound

This paper cites NJL model analysis of quark matter at large density.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections NJL model analysis of quark matter at large density

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:31.261547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e3a884da-bc2a-4c62-97f3-70aa363aedb9 · outbound

This paper cites Juge, Colin Morningstar, and Chik Him Wong.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Juge, Colin Morningstar, and Chik Him Wong

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:31.070242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 588ec33d-382e-4335-ac3b-c35e4af688f4 · outbound

This paper cites Development of bethe–salpeter theory for dealing with unstable system.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Development of bethe–salpeter theory for dealing with unstable system

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:30.834329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fca3cba8-c8c2-42dc-bf3c-a5c3f5b9acbd · outbound

This paper cites Calculation of mass and width of unstable molecular state using the developed bethe- salpeter theory.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Calculation of mass and width of unstable molecular state using the developed bethe- salpeter theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:30.622670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 34566bb5-5900-40ec-a365-afb9e8437baf · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:30.480461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 347a9b98-c841-4a0a-82a1-ada18e6f13ad · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:30.251735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 183a61df-546b-472c-9583-b0ece7da7c12 · outbound

This paper cites Goldberger and Kenneth M.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Goldberger and Kenneth M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:30.068736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 622a9d4d-662c-4243-8297-548777213295 · outbound

This paper cites Heavy mesons in the nambu-jona-lasinio model.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Heavy mesons in the nambu-jona-lasinio model

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:29.917505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1846d3a2-f8e5-4232-ae66-3cba766e5e87 · outbound

This paper cites On the π − π resonance states.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections On the π − π resonance states

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:29.668825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6026e6f9-d370-4e86-a087-3e69a70dda79 · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:29.523401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44b55fba-8c3a-40c1-92a0-b940f238b772 · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:29.341688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 807da1d3-766a-47bf-9b07-69b4a38bcc24 · outbound

This paper cites Klimt, M.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Klimt, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:29.188442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 40284b9e-4cae-4529-8097-47b686263b79 · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:29.065273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 722dadaf-c6e8-4e2e-96a8-c1bc7ebc25d0 · outbound

This paper cites Navas et al.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Navas et al

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:28.938697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5b63bf27-af49-4ca2-ba19-2037c23953ad · outbound

This paper cites Oertel, M.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Oertel, M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:28.831609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 532c61a1-8227-4c73-85fe-cb2000a79949 · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:28.531427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d13dd836-d937-4b9a-99c7-a885c3b0daf0 · outbound

This paper cites Polleri, R.A.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Polleri, R.A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:28.334491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5d24db00-661e-459f-bead-84a1a82b9729 · outbound

This paper cites Rebyakova, M.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Rebyakova, M

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:28.215667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2f52436-d035-4f8b-95a7-80ca180aea2b · outbound

This paper cites Roberts and Jorge Segovia.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Roberts and Jorge Segovia

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:28.081715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 14db3403-fbcd-4c78-a88b-bea886847f86 · outbound

This paper cites Dudek, and Robert G.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Dudek, and Robert G

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:27.926474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68a634b3-776a-4448-9edd-b98d8e202cfc · outbound

This paper cites Sch¨ uren, F.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Sch¨ uren, F

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:27.746533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2a885be-cc29-483b-81a2-126d3282c779 · outbound

This paper cites an unresolved cited work.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:15:27.620831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 377ffa9f-450f-4ec3-b233-14678c093c0a · outbound

This paper cites Sibirtsev and W.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Sibirtsev and W

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:27.478431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d76a2e41-8042-461a-9113-fe8105c555c9 · outbound

This paper cites Roberts, and Sebastian M.

$ \rho\to \pi\pi $ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections Roberts, and Sebastian M

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:15:27.352239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.