The patisambhidamagga is clear that any concentration is unification of cognizance, any concentration is ekaggata which was what the buddha said as right samadhi
One kind of concentration: Unification
Two kinds of concentration:
1.Mundane concentration and
2 supramundane concentration.
Three kinds of concentration: 1.Concentration with applied-thought and
2.concentration without applied-thought and with only
3 concentration without applied-thought and sustained-
Four kinds of concentration:
1.Concentration partaking of diminution,
2.concentration partaking of stagnation,
3.concentration partaking of distinction,
4.concentration partaking of penetration.
Five kinds of concentration:
1.Intentness upon (pervasion) with happiness,
2.intentness upon (pervasion) with pleasure,
3.intentness upon (pervasion) with
4.intentness upon (pervasion) with light,
5.the sign of reviewing.
Six kinds of concentration: 1.Concentration as mental unification and
non-distraction through the recollection of the Enlightened One,
2.concentration … through the recollection of the True Idea, 3.concentration
… through the recollection of the Community (Order),
through the recollection of virtue,
5 concentration … through the recollection of generosity,
6 concentration as mental unification and non-distraction
through the recollection of deities.
Seven kinds of concentration:
1 Skill in concentration,
2.skill in attainment
3.skill in remaining in concentration, 4.skill in emerging from
5.skill in health of concentration,
6.skill in the domain of
7.skill in guiding concentration.
Eight kinds of concentration: 1.Concentration as mental unification and non-distraction through the earth kasina,
2 concentration … through the water kasina…
3 through the fire kasina…
4.through the air kasina…
the blue kasina…
6.through the yellow kasina …
7.through the red kasina…
8.concentration as mental unification and non-distraction through the
Nine kinds of concentration:
1.There is inferior,
material concentration; there is
concentration; there is
7.void concentration; there is
Ten kinds of concentration: 1.Concentration as mental unification and
non-distraction through the bloated, concentration …
2 through the livid…
3 through the festering…
4.through the cut-up…
5.through the gnawed…
the scattered …
7.through the hacked and scattered … 8.through the
9.through the worm-infested … 10.concentration as mental unifi-
cation and non-distraction through a skeleton.
These are fifty-five kinds of concentration.
Kathaṁ saṁvaritvā samādahane paññā samādhibhāvanāmaye ñāṇaṁ?
Eko samādhi— cittassa ekaggatā.
1.savitakkasavicāro samādhi, 2.avitakkavicāramatto samādhi, 3.avitakkaavicāro samādhi.
3.visesabhāgiyo samādhi, 4.nibbedhabhāgiyo samādhi.
1.buddhānussativasena cittassa ekaggatā avikkhepo samādhi, 2.dhammānussativasena cittassa ekaggatā avikkhepo samādhi, 3.saṅghānussativasena cittassa ekaggatā avikkhepo samādhi,
4.sīlānussativasena cittassa ekaggatā avikkhepo samādhi,
5.cāgānussativasena cittassa ekaggatā avikkhepo samādhi, 6.devatānussativasena cittassa ekaggatā avikkhepo samādhi.
2.samādhissa samāpattikusalatā, 3.samādhissa ṭhitikusalatā,
4.samādhissa vuṭṭhānakusalatā, 5.samādhissa kallatākusalatā, 6.samādhissa gocarakusalatā, 7.samādhissa abhinīhārakusalatā.
1.pathavīkasiṇavasena cittassa ekaggatā avikkhepo samādhi,
2.āpokasiṇavasena …pe… 3.tejokasiṇavasena … 4.vāyokasiṇavasena … 5.nīlakasiṇavasena …
6.pītakasiṇavasena … 7.lohitakasiṇavasena … 8.odātakasiṇavasena cittassa ekaggatā avikkhepo samādhi.
1.rūpāvacaro samādhi atthi hīno,
4…arūpāvacaro samādhi atthi hīno,
Dasa samādhī— 1.uddhumātakasaññāvasena cittassa ekaggatā avikkhepo samādhi, 2.vinīlakasaññāvasena … 3.vipubbakasaññāvasena … 4.vicchiddakasaññāvasena … 5.vikkhāyitakasaññāvasena … 6.vikkhittakasaññāvasena … 7.hatavikkhittakasaññāvasena … 8.lohitakasaññāvasena … 9.puḷavakasaññāvasena …
10.aṭṭhikasaññāvasena cittassa ekaggatā avikkhepo samādhi.
Ime pañcapaññāsa samādhī.
This is supported by many suttas
12.1 But ma’am, what is immersion? What things are the foundations of immersion? What things are the prerequisites for immersion? What is the development of immersion?”
12.2 “Unification of the mind is immersion. 12.3 The four kinds of mindfulness meditation are the foundations of immersion. 12.4 The four right efforts are the prerequisites for immersion
“Now what is concentration, lady, what qualities are its themes, what qualities are its requisites, and what is its development?”
“Singleness of mind is concentration, friend Visākha; the four establishings of mindfulness are its themes; the four right exertions are its requisites;
12.1Katamo panāyye, samādhi, katame dhammā samādhinimittā, katame dhammā samādhiparikkhārā, katamā samādhibhāvanā”ti?
12.2“Yā kho, āvuso visākha, cittassa ekaggatā ayaṁ samādhi; 12.3cattāro satipaṭṭhānā samādhinimittā; 12.4cattāro sammappadhānā samādhiparikkhārā.
4.1And what is the faculty of immersion? 4.2It’s when a noble disciple, relying on letting go, gains immersion, gains unification of mind. 4.3This is called the faculty of immersion.
4.1Katamañca, bhikkhave, samādhindriyaṁ? 4.2Idha, bhikkhave, ariyasāvako vossaggārammaṇaṁ karitvā labhati samādhiṁ, labhati cittassa ekaggataṁ— 4.3idaṁ vuccati, bhikkhave, samādhindriyaṁ.
So ekaggata alone is called concentration/immersion/samadhi by the buddha and arahant, there is no piti or sukha or even vitakka there ,there is no jhana mentioned in those suttas
This doesn’t mean jhana is a bad thing ,this means ekaggata alone can suffice as right immersion/right immersion/right samadhi, jhana is not needed if you have ekaggata
Both ekaggata and jhana qualify as right samadhi
Using ekaggata/jhana/right immersion/right concentration/right samadhi then we can achieve nibbana
The notion that only jhana is right samadhi is incorrect
What do the good gods of the Thirty-Three think about how much the Buddha has clearly described the seven prerequisites of immersion for the development and fulfillment of right immersion? 27.5What seven? 27.6Right view, right thought, right speech, right action, right livelihood, right effort, and right mindfulness. 27.7Unification of mind with these seven factors as prerequisites is called noble right immersion ‘with its vital conditions’ and ‘with its prerequisites’.
Taṁ kiṁ maññanti, bhonto devā tāvatiṁsā, yāva supaññattā cime tena bhagavatā jānatā passatā arahatā sammāsambuddhena satta samādhiparikkhārā sammāsamādhissa paribhāvanāya sammāsamādhissa pāripūriyā. 27.5Katame satta? 27.6Sammādiṭṭhi sammāsaṅkappo sammāvācā sammākammanto sammāājīvo sammāvāyāmo sammāsati. 27.7Yā kho, bho, imehi sattahaṅgehi cittassa ekaggatā parikkhatā, ayaṁ vuccati, bho, ariyo sammāsamādhi saupaniso itipi saparikkhāro itipi.
Here cittasa ekaggata = sammasamadhi, buddha is very explicit here I don’t think buddha can be more explicit than this in explaining that ekaggata alone is sammasamadhi that jhana is not necessary to attain nibbana
Note that by jhana is not necessary doesn’t mean you should abandon the jhana you already attained because jhana too is right samadhi